SECTION A2 BRINE DENSITY AND PVT DATA

A2.1 Introduction ...............................................................................................................................4

A2.2 Density of single-salt brines .................................................................................................4 A2.2.1 Mixing tables for sodium formate .............................................................................5 A2.2.2 Mixing tables for potassium formate .......................................................................5 A2.2.3 Mixing tables for cesium formate .............................................................................5

A2.3 Density of potassium / cesium formate blends ..............................................................5

A2.4 Density of sodium / potassium formate blends ..............................................................6

A2.5 Density, compressibility, and thermal expansion coefficients for potassium and cesium formate brines and blends ........................................................6 A2.5.1 Software package DensiCalc ......................................................................................6 A2.5.2 PVTCalc software ............................................................................................................7

References ...............................................................................................................................................7

The Formate Technical Manual is continually updated. To check if a newer version of this section exists please visit

cabotcorp.com/formatemanual

SECTION A2BRINE DENSITY AND PVT DATA

NOTICE AND DISCLAIMER. The data and conclusions contained herein are based on work believed to be reliable; however, CABOT cannot and does not guarantee that similar results and/or conclusions will be obtained by others. This information is provided as a convenience and for informational purposes only. No guarantee or warranty as to this information, or any product to which it relates, is given or implied. CABOT DISCLAIMS ALL WARRANTIES EXPRESS OR IMPLIED, INCLUDING MERCHANTABILITY OR FITNESS FOR A PARTICULAR PURPOSE AS TO (i) SUCH INFORMATION, (ii) ANY PRODUCT OR (iii) INTELLECTUAL PROPERTY INFRINGEMENT. In no event is CABOT responsible for, and CABOT does not accept and hereby disclaims liability for, any damages whatsoever in connection with the use of or reliance on this information or any product to which it relates.

© 2015 Cabot Corporation, MA, USA. All rights reserved. CABOT is a registered trademark of Cabot Corporation.

VERSION 10 – 05/15

C H E M I C A L A N D P H Y S I C A L P R O P E R T I E S

F O R M A T E T E C H N I C A L M A N U A L C A B O T

http://www.cabotcorp.com/formatemanual

P A G E 2 V E R S I O N 1 0 – 0 5 / 1 5

F O R M A T E T E C H N I C A L M A N U A L

S E C T I O N A 2

C A B O T

List of Tables

Mixing tables

Table 1 Metric mixing table for sodium formate brine from sodium formate powder with moisture content of 0.3%. ...............10

Table 2 Field unit mixing table for sodium formate brine from sodium formate powder with moisture content of 0.3%. ...........11

Table 3 Metric mixing table for potassium formate brine from standard stock brine (1.57 g/cm3), a diluted potassium formate stock brine (1.54 g/cm3), and potassium formate powder with water content of 0.3%. .........................................12

Table 4 Field unit mixing table for potassium formate brine from standard stock brine (13.10 lb/gal), a diluted stock brine (12.85 lb/gal), and potassium formate powder with water content of 0.3%. .................................................................................13

Table 5 Metric mixing table for cesium formate brine using 2.20 g/cm3 cesium formate stock brine, more concentrated 2.30 g/cm3 cesium formate stock brine, and cesium formate powder with moisture content of 0.3%. ..........................14

Table 6 Field unit mixing table for cesium formate brine using 18.36 lb/gal cesium formate stock brine, more concentrated 19.20 lb/gal cesium formate stock brine, and cesium formate powder with moisture content of 0.3%. ..........................16

Blending tables for cesium and potassium formate brines

Table 7 Metric blending table for a standard potassium / cesium formate blend, composed of 1.57 g/cm3 potassium formate brine and 2.20 g/cm3 cesium formate brine.. ........................................................................................ 18

Table 8 Field unit blending table for a standard potassium / cesium formate blend, composed of 13.10 lb/gal potassium formate brine and 18.36 lb/gal cesium formate brine ......................................................................................... 19

Density tables for potassium and cesium formate brines and blends

Table 9 Density as a function of temperature and pressure for 1.101 g/cm3 / 9.188 lb/gal potassium formate brine.........................20

Table 10 Density as a function of temperature and pressure for 1.201 g/cm3 / 10.023 lb/gal potassium formate brine. ....................21

Table 11 Density as a function of temperature and pressure for 1.301 g/cm3 / 10.857 lb/gal potassium formate brine. ...................22

Table 12 Density as a function of temperature and pressure for 1.400 g/cm3 / 11.684 lb/gal potassium formate brine ....................23

Table 13 Density as a function of temperature and pressure for 1.572 g/cm3 / 13.119 lb/gal potassium formate brine ......................24

Table 14 Density as a function of temperature and pressure for a 1.880 g/cm3 / 15.689 lb/gal cesium/potassium formate blend ..25

Table 15 Density as a function of temperature and pressure for a 2.100 g/cm3 / 17.525 lb/gal cesium/potassium formate blend ....26

Table 16 Density as a function of temperature and pressure for 2.286 g/cm3 / 19.078 lb/gal cesium formate brine ......................... 27

Compressibility factor tables for potassium and cesium formate brines and blends

Table 17 Compressibility as a function of temperature and pressure for 1.101 g/cm3 / 9.188 lb/gal potassium formate brine. .......28

Table 18 Compressibility as a function of temperature and pressure for 1.201 g/cm3 / 10.023 lb/gal potassium formate brine ...29

Table 19 Compressibility as a function of temperature and pressure for 1.301 g/cm3 / 10.857 lb/gal potassium formate brine. ..30

Table 20 Compressibility as a function of temperature and pressure for 1.400 g/cm3 / 11.684 lb/gal potassium formate brine ....31

Table 21 Compressibility as a function of temperature and pressure for 1.572 g/cm3 / 13.119 lb/gal potassium formate brine .....32

Table 22 Compressibility as a function of temperature and pressure for a 1.880 g/cm3 / 15.689 lb/gal cesium / potassium formate blend ........................................................................................................................................................................................................................33

Table 23 Compressibility as a function of temperature and pressure for a 2.100 g/cm3 / 17.525 lb/gal cesium / potassium formate blend .......................................................................................................................................................................................................................34

Table 24 Compressibility as a function of temperature and pressure for 2.286 g/cm3 / 19.078 lb/gal cesium formate brine. .......35

S E C T I O N A : C H E M I C A L A N D P H Y S I C A L P R O P E R T I E S

V E R S I O N 1 0 – 0 5 / 1 5 P A G E 3S E C T I O N A 2

C A B O T

Thermal expansion coefficient tables for potassium and cesium formate brines and blends

Table 25 Thermal expansion coefficient as a function of temperature and pressure for 1.101 g/cm3 / 9.188 lb/gal potassium formate brine. .................................................................................................................................................................... 36

Table 26 Thermal expansion coefficient as a function of temperature and pressure for 1.201 g/cm3 / 10.023 lb/gal potassium formate brine. .....................................................................................................................................................................37

Table 27 Thermal expansion coefficient as a function of temperature and pressure for 1.301 g/cm3 / 10.857 lb/gal potassium formate brine. ....................................................................................................................................................................38

Table 28 Thermal expansion coefficient as a function of temperature and pressure for 1.400 g/cm3 / 11.684 lb/gal potassium formate brine. .................................................................................................................................................................... 39

Table 29 Thermal expansion coefficient as a function of temperature and pressure for 1.572 g/cm3 / 13.119 lb/gal potassium formate brine. ....................................................................................................................................................................40

Table 30 Thermal expansion coefficient as a function of temperature and pressure for a 1.880 g/cm3 / 15.689 lb/gal cesium / potassium formate blend. ................................................................................................................................................. 41

Table 31 Thermal expansion coefficient as a function of temperature and pressure for a 2.100 g/cm3 / 17.525 lb/gal cesium / potassium formate blend. ................................................................................................................................................ 42

Table 32 Thermal expansion coefficient as a function of temperature and pressure for 2.286 g/cm3 / 19.078 lb/gal cesium formate brine. .......................................................................................................................................................................... 43

P A G E 4 V E R S I O N 1 0 – 0 5 / 1 5


S E C T I O N A 2

C A B O T

A2.1 Introduction

Formate salts are extremely soluble in water, and can yield brines of very high density. Cesium formate is the most soluble of the three salts on a weight basis (83%), whilst potassium formate is the most soluble on a molar basis (14 mol/L). Potassium and cesium formate yield favorable blends, with high formate molar concentrations covering the whole density range.

A2.2 Density of single-salt brines

Solution densities of sodium, potassium, and cesium formate brines at 15.6°C / 60°F are shown in Figure 2 and Figure 3 as a function of wt% and molar concentration. The measurements were made on typical field-grade brines. As can be seen, although cesium formate yields the highest density solutions, potassium formate brine attains the highest concentration of formate ions on a molar basis.

Brine tables for single-salt solutions of sodium, potassium, and cesium formate are listed in Table 1 to Table 6. Regression equations have been developed that give good relationships between wt% formate salt concentration and brine density for all three formate brines. The regression equations and constants are given below.

These models can be used to prepare mixing tables for concentrated stock brines or powders. The following equations can be used:

Metric:Making 1 m3 from liquid stock:

wt% = Aρ3 + Bρ2 + Cρ + D1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

18

17

16

stockstock

reqreqstock wt%

wt%literV

ρρ

×

××=

1000

1000 × ρreq – Vstock × ρstock

ρreq − Vstock × ρstock

0.999

)(

water literV =)(

reqreqpowder

wt%kgW

1000)(

××=

ρ

powderreqwater

W

wt%powder

literVρ −×

=1000

)(

stockV waterV reqwt% stockwt% reqρ stockρ stockW

stockstockstock wt%

bblVρ×

=)(

water bblV =)(

powder

reqreqpowder wt%

wt%lbW

42)(

××=

ρ

)(42)(

−×= powderreq

water

lbWbblV

ρ

stockV waterV reqwt% stockwt%

powderwt%

reqρ stockρ stockW

powderWreq

1000)( ×−

−

KFoCsFo

reqCsFoKFo literV

KFoKFoKFo VkgW ρ×=

=

)(

1000)( ×−−=

KFoCsFo

KForeqCsFo literV

CsFoCsFoCsFoVkgW ρ×=)(

W ρ V

KFoCsFo

reqCsFoKFo bblV ρρ

ρρ−

−=)(

42)( ××= KFoKFoKFo VlbW ρ

KFoCsFo

KForeqCsFo bblV ρρ

ρρ−

−=)(

42)( ××= CsFoCsFoCs VlbW ρ

W ρ V

)(sts.g. T T

s.g.

ρ ρρρ

s.g.

ρρρ ρ

s.g.

8.336

0.999

350.11

reqreqwt% × ρ

ρ(st) = 0.99243 × 1.000474T × ρ1.0000621

(4)

wt% = Aρ3 + Bρ2 + Cρ + D1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

18

17

16

stockstock

reqreqstock wt%

wt%literV

ρρ

×

××=

1000



0.999

)(

water literV =)(

reqreqpowder

wt%kgW

1000)(

××=

ρ

powderreqwater

W

wt%powder

literVρ −×

=1000

)(


stockstockstock wt%

bblVρ×

=)(

water bblV =)(

powder

reqreqpowder wt%

wt%lbW

42)(

××=

ρ

)(42)(

−×= powderreq

water

lbWbblV

ρ


powderwt%


powderWreq

1000)( ×−

−

KFoCsFo

reqCsFoKFo literV


=

)(

1000)( ×−−=

KFoCsFo

KForeqCsFo literV


W ρ V

KFoCsFo


ρρ−

−=)(


KFoCsFo


ρρ−

−=)(


W ρ V

)(sts.g. T T

s.g.

ρ ρρρ

s.g.

ρρρ ρ

s.g.

8.336

0.999

350.11

reqreqwt% × ρ

ρ(st) = 0.99243 × 1.000474T × ρ1.0000621

(5)

Making 1 m3 from powder stock:

wt% = Aρ3 + Bρ2 + Cρ + D1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

18

17

16

stockstock

reqreqstock wt%

wt%literV

ρρ

×

××=

1000



0.999

)(

water literV =)(

reqreqpowder

wt%kgW

1000)(

××=

ρ

powderreqwater

W

wt%powder

literVρ −×

=1000

)(


stockstockstock wt%

bblVρ×

=)(

water bblV =)(

powder

reqreqpowder wt%

wt%lbW

42)(

××=

ρ

)(42)(

−×= powderreq

water

lbWbblV

ρ


powderwt%


powderWreq

1000)( ×−

−

KFoCsFo

reqCsFoKFo literV


=

)(

1000)( ×−−=

KFoCsFo

KForeqCsFo literV


W ρ V

KFoCsFo


ρρ−

−=)(


KFoCsFo


ρρ−

−=)(


W ρ V

)(sts.g. T T

s.g.

ρ ρρρ

s.g.

ρρρ ρ

s.g.

8.336

0.999

350.11

reqreqwt% × ρ

ρ(st) = 0.99243 × 1.000474T × ρ1.0000621

(6)

wt% = Aρ3 + Bρ2 + Cρ + D1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

18

17

16

stockstock

reqreqstock wt%

wt%literV

ρρ

×

××=

1000



0.999

)(

water literV =)(

reqreqpowder

wt%kgW

1000)(

××=

ρ

powderreqwater

W

wt%powder

literVρ −×

=1000

)(


stockstockstock wt%

bblVρ×

=)(

water bblV =)(

powder

reqreqpowder wt%

wt%lbW

42)(

××=

ρ

)(42)(

−×= powderreq

water

lbWbblV

ρ


powderwt%


powderWreq

1000)( ×−

−

KFoCsFo

reqCsFoKFo literV


=

)(

1000)( ×−−=

KFoCsFo

KForeqCsFo literV


W ρ V

KFoCsFo


ρρ−

−=)(


KFoCsFo


ρρ−

−=)(


W ρ V

)(sts.g. T T

s.g.

ρ ρρρ

s.g.

ρρρ ρ

s.g.

8.336

0.999

350.11

reqreqwt% × ρ

ρ(st) = 0.99243 × 1.000474T × ρ1.0000621

(7)

Where

wt% = Aρ3 + Bρ2 + Cρ + D1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

18

17

16

stockstock

reqreqstock wt%

wt%literV

ρρ

×

××=

1000



0.999

)(

water literV =)(

reqreqpowder

wt%kgW

1000)(

××=

ρ

powderreqwater

W

wt%powder

literVρ −×

=1000

)(


stockstockstock wt%

bblVρ×

=)(

water bblV =)(

powder

reqreqpowder wt%

wt%lbW

42)(

××=

ρ

)(42)(

−×= powderreq

water

lbWbblV

ρ


powderwt%


powderWreq

1000)( ×−

−

KFoCsFo

reqCsFoKFo literV


=

)(

1000)( ×−−=

KFoCsFo

KForeqCsFo literV


W ρ V

KFoCsFo


ρρ−

−=)(


KFoCsFo


ρρ−

−=)(


W ρ V

)(sts.g. T T

s.g.

ρ ρρρ

s.g.

ρρρ ρ

s.g.

8.336

0.999

350.11

reqreqwt% × ρ

ρ(st) = 0.99243 × 1.000474T × ρ1.0000621

= volume needed of stock brine (liter)

wt% = Aρ3 + Bρ2 + Cρ + D1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

18

17

16

stockstock

reqreqstock wt%

wt%literV

ρρ

×

××=

1000



0.999

)(

water literV =)(

reqreqpowder

wt%kgW

1000)(

××=

ρ

powderreqwater

W

wt%powder

literVρ −×

=1000

)(


stockstockstock wt%

bblVρ×

=)(

water bblV =)(

powder

reqreqpowder wt%

wt%lbW

42)(

××=

ρ

)(42)(

−×= powderreq

water

lbWbblV

ρ


powderwt%


powderWreq

1000)( ×−

−

KFoCsFo

reqCsFoKFo literV


=

)(

1000)( ×−−=

KFoCsFo

KForeqCsFo literV


W ρ V

KFoCsFo


ρρ−

−=)(


KFoCsFo


ρρ−

−=)(


W ρ V

)(sts.g. T T

s.g.

ρ ρρρ

s.g.

ρρρ ρ

s.g.

8.336

0.999

350.11

reqreqwt% × ρ

ρ(st) = 0.99243 × 1.000474T × ρ1.0000621

= volume needed of water (liter)

wt% = Aρ3 + Bρ2 + Cρ + D1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

18

17

16

stockstock

reqreqstock wt%

wt%literV

ρρ

×

××=

1000



0.999

)(

water literV =)(

reqreqpowder

wt%kgW

1000)(

××=

ρ

powderreqwater

W

wt%powder

literVρ −×

=1000

)(


stockstockstock wt%

bblVρ×

=)(

water bblV =)(

powder

reqreqpowder wt%

wt%lbW

42)(

××=

ρ

)(42)(

−×= powderreq

water

lbWbblV

ρ


powderwt%


powderWreq

1000)( ×−

−

KFoCsFo

reqCsFoKFo literV


=

)(

1000)( ×−−=

KFoCsFo

KForeqCsFo literV


W ρ V

KFoCsFo


ρρ−

−=)(


KFoCsFo


ρρ−

−=)(


W ρ V

)(sts.g. T T

s.g.

ρ ρρρ

s.g.

ρρρ ρ

s.g.

8.336

0.999

350.11

reqreqwt% × ρ

ρ(st) = 0.99243 × 1.000474T × ρ1.0000621

= wt% formate in new brine (Eq. 1 – Eq. 3)

wt% = Aρ3 + Bρ2 + Cρ + D1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

18

17

16

stockstock

reqreqstock wt%

wt%literV

ρρ

×

××=

1000



0.999

)(

water literV =)(

reqreqpowder

wt%kgW

1000)(

××=

ρ

powderreqwater

W

wt%powder

literVρ −×

=1000

)(


stockstockstock wt%

bblVρ×

=)(

water bblV =)(

powder

reqreqpowder wt%

wt%lbW

42)(

××=

ρ

)(42)(

−×= powderreq

water

lbWbblV

ρ


powderwt%


powderWreq

1000)( ×−

−

KFoCsFo

reqCsFoKFo literV


=

)(

1000)( ×−−=

KFoCsFo

KForeqCsFo literV


W ρ V

KFoCsFo


ρρ−

−=)(


KFoCsFo


ρρ−

−=)(


W ρ V

)(sts.g. T T

s.g.

ρ ρρρ

s.g.

ρρρ ρ

s.g.

8.336

0.999

350.11

reqreqwt% × ρ

ρ(st) = 0.99243 × 1.000474T × ρ1.0000621

= wt% formate in stock brine (Eq. 1 – Eq. 3)

wt% = Aρ3 + Bρ2 + Cρ + D1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

18

17

16

stockstock

reqreqstock wt%

wt%literV

ρρ

×

××=

1000



0.999

)(

water literV =)(

reqreqpowder

wt%kgW

1000)(

××=

ρ

powderreqwater

W

wt%powder

literVρ −×

=1000

)(


stockstockstock wt%

bblVρ×

=)(

water bblV =)(

powder

reqreqpowder wt%

wt%lbW

42)(

××=

ρ

)(42)(

−×= powderreq

water

lbWbblV

ρ


powderwt%


powderWreq

1000)( ×−

−

KFoCsFo

reqCsFoKFo literV


=

)(

1000)( ×−−=

KFoCsFo

KForeqCsFo literV


W ρ V

KFoCsFo


ρρ−

−=)(


KFoCsFo


ρρ−

−=)(


W ρ V

)(sts.g. T T

s.g.

ρ ρρρ

s.g.

ρρρ ρ

s.g.

8.336

0.999

350.11

reqreqwt% × ρ

ρ(st) = 0.99243 × 1.000474T × ρ1.0000621

= wt% formate in powder

wt% = Aρ3 + Bρ2 + Cρ + D1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

18

17

16

stockstock

reqreqstock wt%

wt%literV

ρρ

×

××=

1000



0.999

)(

water literV =)(

reqreqpowder

wt%kgW

1000)(

××=

ρ

powderreqwater

W

wt%powder

literVρ −×

=1000

)(


stockstockstock wt%

bblVρ×

=)(

water bblV =)(

powder

reqreqpowder wt%

wt%lbW

42)(

××=

ρ

)(42)(

−×= powderreq

water

lbWbblV

ρ


powderwt%


powderWreq

1000)( ×−

−

KFoCsFo

reqCsFoKFo literV


=

)(

1000)( ×−−=

KFoCsFo

KForeqCsFo literV


W ρ V

KFoCsFo


ρρ−

−=)(


KFoCsFo


ρρ−

−=)(


W ρ V

)(sts.g. T T

s.g.

ρ ρρρ

s.g.

ρρρ ρ

s.g.

8.336

0.999

350.11

reqreqwt% × ρ

ρ(st) = 0.99243 × 1.000474T × ρ1.0000621

= density required in new brine (g/cm3)

wt% = Aρ3 + Bρ2 + Cρ + D1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

18

17

16

stockstock

reqreqstock wt%

wt%literV

ρρ

×

××=

1000



0.999

)(

water literV =)(

reqreqpowder

wt%kgW

1000)(

××=

ρ

powderreqwater

W

wt%powder

literVρ −×

=1000

)(


stockstockstock wt%

bblVρ×

=)(

water bblV =)(

powder

reqreqpowder wt%

wt%lbW

42)(

××=

ρ

)(42)(

−×= powderreq

water

lbWbblV

ρ


powderwt%


powderWreq

1000)( ×−

−

KFoCsFo

reqCsFoKFo literV


=

)(

1000)( ×−−=

KFoCsFo

KForeqCsFo literV


W ρ V

KFoCsFo


ρρ−

−=)(


KFoCsFo


ρρ−

−=)(


W ρ V

)(sts.g. T T

s.g.

ρ ρρρ

s.g.

ρρρ ρ

s.g.

8.336

0.999

350.11

reqreqwt% × ρ

ρ(st) = 0.99243 × 1.000474T × ρ1.0000621

= density stock brine (g/cm3)

wt% = Aρ3 + Bρ2 + Cρ + D1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

18

17

16

stockstock

reqreqstock wt%

wt%literV

ρρ

×

××=

1000



0.999

)(

water literV =)(

reqreqpowder

wt%kgW

1000)(

××=

ρ

powderreqwater

W

wt%powder

literVρ −×

=1000

)(


stockstockstock wt%

bblVρ×

=)(

water bblV =)(

powder

reqreqpowder wt%

wt%lbW

42)(

××=

ρ

)(42)(

−×= powderreq

water

lbWbblV

ρ


powderwt%


powderWreq

1000)( ×−

−

KFoCsFo

reqCsFoKFo literV


=

)(

1000)( ×−−=

KFoCsFo

KForeqCsFo literV


W ρ V

KFoCsFo


ρρ−

−=)(


KFoCsFo


ρρ−

−=)(


W ρ V

)(sts.g. T T

s.g.

ρ ρρρ

s.g.

ρρρ ρ

s.g.

8.336

0.999

350.11

reqreqwt% × ρ

ρ(st) = 0.99243 × 1.000474T × ρ1.0000621

= mass stock brine (kg)

wt% = Aρ3 + Bρ2 + Cρ + D1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

18

17

16

stockstock

reqreqstock wt%

wt%literV

ρρ

×

××=

1000



0.999

)(

water literV =)(

reqreqpowder

wt%kgW

1000)(

××=

ρ

powderreqwater

W

wt%powder

literVρ −×

=1000

)(


stockstockstock wt%

bblVρ×

=)(

water bblV =)(

powder

reqreqpowder wt%

wt%lbW

42)(

××=

ρ

)(42)(

−×= powderreq

water

lbWbblV

ρ


powderwt%


powderWreq

1000)( ×−

−

KFoCsFo

reqCsFoKFo literV


=

)(

1000)( ×−−=

KFoCsFo

KForeqCsFo literV


W ρ V

KFoCsFo


ρρ−

−=)(


KFoCsFo


ρρ−

−=)(


W ρ V

)(sts.g. T T

s.g.

ρ ρρρ

s.g.

ρρρ ρ

s.g.

8.336

0.999

350.11

reqreqwt% × ρ

ρ(st) = 0.99243 × 1.000474T × ρ1.0000621

= mass powder (kg)

METRICNaFo KFo CsFo

Regression equation wt% = Aρ2 + Bρ + C (1) wt% = Aρ3 + Bρ2 + Cρ + D (2) wt% = (A+Bρ)/(1+Cρ+Dρ2) (3)A -63.32226 30.94023 -2,416.02B 288.2608 -186.242 2,418.206C -224.796 454.5065 16.73794D -299.048 -0.31469

ρ = density in g/cm3

FIELDNaFo KFo CsFo

Regression equation wt% = Aρ2 + Bρ + C (1) wt% = Aρ3 + Bρ2 + Cρ + D (2) wt% = (A+Bρ)/(1+Cρ+Dρ2) (3)

A -0.90921 0.05324 -2,562.64

B 34.54128 -2.67432 307.3489

C -224.796 54.46365 2.133737

D -299.053 -0.00491

ρ = density in lb/gal



C A B O T

Field:Making 1 bbl from liquid stock:

wt% = Aρ3 + Bρ2 + Cρ + D1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

18

17

16

stockstock

reqreqstock wt%

wt%literV

ρρ

×

××=

1000



0.999

)(

water literV =)(

reqreqpowder

wt%kgW

1000)(

××=

ρ

powderreqwater

W

wt%powder

literVρ −×

=1000

)(


stockstockstock wt%

bblVρ×

=)(

water bblV =)(

powder

reqreqpowder wt%

wt%lbW

42)(

××=

ρ

)(42)(

−×= powderreq

water

lbWbblV

ρ


powderwt%


powderWreq

1000)( ×−

−

KFoCsFo

reqCsFoKFo literV


=

)(

1000)( ×−−=

KFoCsFo

KForeqCsFo literV


W ρ V

KFoCsFo


ρρ−

−=)(


KFoCsFo


ρρ−

−=)(


W ρ V

)(sts.g. T T

s.g.

ρ ρρρ

s.g.

ρρρ ρ

s.g.

8.336

0.999

350.11

reqreqwt% × ρ

ρ(st) = 0.99243 × 1.000474T × ρ1.0000621

(8)

wt% = Aρ3 + Bρ2 + Cρ + D1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

18

17

16

stockstock

reqreqstock wt%

wt%literV

ρρ

×

××=

1000



0.999

)(

water literV =)(

reqreqpowder

wt%kgW

1000)(

××=

ρ

powderreqwater

W

wt%powder

literVρ −×

=1000

)(


stockstockstock wt%

bblVρ×

=)(

water bblV =)(

powder

reqreqpowder wt%

wt%lbW

42)(

××=

ρ

)(42)(

−×= powderreq

water

lbWbblV

ρ


powderwt%


powderWreq

1000)( ×−

−

KFoCsFo

reqCsFoKFo literV


=

)(

1000)( ×−−=

KFoCsFo

KForeqCsFo literV


W ρ V

KFoCsFo


ρρ−

−=)(


KFoCsFo


ρρ−

−=)(


W ρ V

)(sts.g. T T

s.g.

ρ ρρρ

s.g.

ρρρ ρ

s.g.

8.336

0.999

350.11

reqreqwt% × ρ

ρ(st) = 0.99243 × 1.000474T × ρ1.0000621

(9)

Making 1 bbl from powder stock:

wt% = Aρ3 + Bρ2 + Cρ + D1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

18

17

16

stockstock

reqreqstock wt%

wt%literV

ρρ

×

××=

1000



0.999

)(

water literV =)(

reqreqpowder

wt%kgW

1000)(

××=

ρ

powderreqwater

W

wt%powder

literVρ −×

=1000

)(


stockstockstock wt%

bblVρ×

=)(

water bblV =)(

powder

reqreqpowder wt%

wt%lbW

42)(

××=

ρ

)(42)(

−×= powderreq

water

lbWbblV

ρ


powderwt%


powderWreq

1000)( ×−

−

KFoCsFo

reqCsFoKFo literV


=

)(

1000)( ×−−=

KFoCsFo

KForeqCsFo literV


W ρ V

KFoCsFo


ρρ−

−=)(


KFoCsFo


ρρ−

−=)(


W ρ V

)(sts.g. T T

s.g.

ρ ρρρ

s.g.

ρρρ ρ

s.g.

8.336

0.999

350.11

reqreqwt% × ρ

ρ(st) = 0.99243 × 1.000474T × ρ1.0000621

(10)

wt% = Aρ3 + Bρ2 + Cρ + D1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

18

17

16

stockstock

reqreqstock wt%

wt%literV

ρρ

×

××=

1000



0.999

)(

water literV =)(

reqreqpowder

wt%kgW

1000)(

××=

ρ

powderreqwater

W

wt%powder

literVρ −×

=1000

)(


stockstockstock wt%

bblVρ×

=)(

water bblV =)(

powder

reqreqpowder wt%

wt%lbW

42)(

××=

ρ

)(42)(

−×= powderreq

water

lbWbblV

ρ


powderwt%


powderWreq

1000)( ×−

−

KFoCsFo

reqCsFoKFo literV


=

)(

1000)( ×−−=

KFoCsFo

KForeqCsFo literV


W ρ V

KFoCsFo


ρρ−

−=)(


KFoCsFo


ρρ−

−=)(


W ρ V

)(sts.g. T T

s.g.

ρ ρρρ

s.g.

ρρρ ρ

s.g.

8.336

0.999

350.11

reqreqwt% × ρ

ρ(st) = 0.99243 × 1.000474T × ρ1.0000621

(11)

Where:

wt% = Aρ3 + Bρ2 + Cρ + D1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

18

17

16

stockstock

reqreqstock wt%

wt%literV

ρρ

×

××=

1000



0.999

)(

water literV =)(

reqreqpowder

wt%kgW

1000)(

××=

ρ

powderreqwater

W

wt%powder

literVρ −×

=1000

)(


stockstockstock wt%

bblVρ×

=)(

water bblV =)(

powder

reqreqpowder wt%

wt%lbW

42)(

××=

ρ

)(42)(

−×= powderreq

water

lbWbblV

ρ


powderwt%


powderWreq

1000)( ×−

−

KFoCsFo

reqCsFoKFo literV


=

)(

1000)( ×−−=

KFoCsFo

KForeqCsFo literV


W ρ V

KFoCsFo


ρρ−

−=)(


KFoCsFo


ρρ−

−=)(


W ρ V

)(sts.g. T T

s.g.

ρ ρρρ

s.g.

ρρρ ρ

s.g.

8.336

0.999

350.11

reqreqwt% × ρ

ρ(st) = 0.99243 × 1.000474T × ρ1.0000621

= volume needed of stock brine (bbl)

wt% = Aρ3 + Bρ2 + Cρ + D1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

18

17

16

stockstock

reqreqstock wt%

wt%literV

ρρ

×

××=

1000



0.999

)(

water literV =)(

reqreqpowder

wt%kgW

1000)(

××=

ρ

powderreqwater

W

wt%powder

literVρ −×

=1000

)(


stockstockstock wt%

bblVρ×

=)(

water bblV =)(

powder

reqreqpowder wt%

wt%lbW

42)(

××=

ρ

)(42)(

−×= powderreq

water

lbWbblV

ρ


powderwt%


powderWreq

1000)( ×−

−

KFoCsFo

reqCsFoKFo literV


=

)(

1000)( ×−−=

KFoCsFo

KForeqCsFo literV


W ρ V

KFoCsFo


ρρ−

−=)(


KFoCsFo


ρρ−

−=)(


W ρ V

)(sts.g. T T

s.g.

ρ ρρρ

s.g.

ρρρ ρ

s.g.

8.336

0.999

350.11

reqreqwt% × ρ

ρ(st) = 0.99243 × 1.000474T × ρ1.0000621

= volume water (bbl)

wt% = Aρ3 + Bρ2 + Cρ + D1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

18

17

16

stockstock

reqreqstock wt%

wt%literV

ρρ

×

××=

1000



0.999

)(

water literV =)(

reqreqpowder

wt%kgW

1000)(

××=

ρ

powderreqwater

W

wt%powder

literVρ −×

=1000

)(


stockstockstock wt%

bblVρ×

=)(

water bblV =)(

powder

reqreqpowder wt%

wt%lbW

42)(

××=

ρ

)(42)(

−×= powderreq

water

lbWbblV

ρ


powderwt%


powderWreq

1000)( ×−

−

KFoCsFo

reqCsFoKFo literV


=

)(

1000)( ×−−=

KFoCsFo

KForeqCsFo literV


W ρ V

KFoCsFo


ρρ−

−=)(


KFoCsFo


ρρ−

−=)(


W ρ V

)(sts.g. T T

s.g.

ρ ρρρ

s.g.

ρρρ ρ

s.g.

8.336

0.999

350.11

reqreqwt% × ρ

ρ(st) = 0.99243 × 1.000474T × ρ1.0000621

= wt% formate in new brine (Eq. 1 – Eq. 3)

wt% = Aρ3 + Bρ2 + Cρ + D1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

18

17

16

stockstock

reqreqstock wt%

wt%literV

ρρ

×

××=

1000



0.999

)(

water literV =)(

reqreqpowder

wt%kgW

1000)(

××=

ρ

powderreqwater

W

wt%powder

literVρ −×

=1000

)(


stockstockstock wt%

bblVρ×

=)(

water bblV =)(

powder

reqreqpowder wt%

wt%lbW

42)(

××=

ρ

)(42)(

−×= powderreq

water

lbWbblV

ρ


powderwt%


powderWreq

1000)( ×−

−

KFoCsFo

reqCsFoKFo literV


=

)(

1000)( ×−−=

KFoCsFo

KForeqCsFo literV


W ρ V

KFoCsFo


ρρ−

−=)(


KFoCsFo


ρρ−

−=)(


W ρ V

)(sts.g. T T

s.g.

ρ ρρρ

s.g.

ρρρ ρ

s.g.

8.336

0.999

350.11

reqreqwt% × ρ

ρ(st) = 0.99243 × 1.000474T × ρ1.0000621

= wt% formate in stock brine (Eq. 1 – Eq. 3)

wt% = Aρ3 + Bρ2 + Cρ + D1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

18

17

16

stockstock

reqreqstock wt%

wt%literV

ρρ

×

××=

1000



0.999

)(

water literV =)(

reqreqpowder

wt%kgW

1000)(

××=

ρ

powderreqwater

W

wt%powder

literVρ −×

=1000

)(


stockstockstock wt%

bblVρ×

=)(

water bblV =)(

powder

reqreqpowder wt%

wt%lbW

42)(

××=

ρ

)(42)(

−×= powderreq

water

lbWbblV

ρ


powderwt%


powderWreq

1000)( ×−

−

KFoCsFo

reqCsFoKFo literV


=

)(

1000)( ×−−=

KFoCsFo

KForeqCsFo literV


W ρ V

KFoCsFo


ρρ−

−=)(


KFoCsFo


ρρ−

−=)(


W ρ V

)(sts.g. T T

s.g.

ρ ρρρ

s.g.

ρρρ ρ

s.g.

8.336

0.999

350.11

reqreqwt% × ρ

ρ(st) = 0.99243 × 1.000474T × ρ1.0000621

= wt% formate in powder

wt% = Aρ3 + Bρ2 + Cρ + D1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

18

17

16

stockstock

reqreqstock wt%

wt%literV

ρρ

×

××=

1000



0.999

)(

water literV =)(

reqreqpowder

wt%kgW

1000)(

××=

ρ

powderreqwater

W

wt%powder

literVρ −×

=1000

)(


stockstockstock wt%

bblVρ×

=)(

water bblV =)(

powder

reqreqpowder wt%

wt%lbW

42)(

××=

ρ

)(42)(

−×= powderreq

water

lbWbblV

ρ


powderwt%


powderWreq

1000)( ×−

−

KFoCsFo

reqCsFoKFo literV


=

)(

1000)( ×−−=

KFoCsFo

KForeqCsFo literV


W ρ V

KFoCsFo


ρρ−

−=)(


KFoCsFo


ρρ−

−=)(


W ρ V

)(sts.g. T T

s.g.

ρ ρρρ

s.g.

ρρρ ρ

s.g.

8.336

0.999

350.11

reqreqwt% × ρ

ρ(st) = 0.99243 × 1.000474T × ρ1.0000621

= density required in new brine (lb/gal)

wt% = Aρ3 + Bρ2 + Cρ + D1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

18

17

16

stockstock

reqreqstock wt%

wt%literV

ρρ

×

××=

1000



0.999

)(

water literV =)(

reqreqpowder

wt%kgW

1000)(

××=

ρ

powderreqwater

W

wt%powder

literVρ −×

=1000

)(


stockstockstock wt%

bblVρ×

=)(

water bblV =)(

powder

reqreqpowder wt%

wt%lbW

42)(

××=

ρ

)(42)(

−×= powderreq

water

lbWbblV

ρ


powderwt%


powderWreq

1000)( ×−

−

KFoCsFo

reqCsFoKFo literV


=

)(

1000)( ×−−=

KFoCsFo

KForeqCsFo literV


W ρ V

KFoCsFo


ρρ−

−=)(


KFoCsFo


ρρ−

−=)(


W ρ V

)(sts.g. T T

s.g.

ρ ρρρ

s.g.

ρρρ ρ

s.g.

8.336

0.999

350.11

reqreqwt% × ρ

ρ(st) = 0.99243 × 1.000474T × ρ1.0000621

= density stock brine (lb/gal)

wt% = Aρ3 + Bρ2 + Cρ + D1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

18

17

16

stockstock

reqreqstock wt%

wt%literV

ρρ

×

××=

1000



0.999

)(

water literV =)(

reqreqpowder

wt%kgW

1000)(

××=

ρ

powderreqwater

W

wt%powder

literVρ −×

=1000

)(


stockstockstock wt%

bblVρ×

=)(

water bblV =)(

powder

reqreqpowder wt%

wt%lbW

42)(

××=

ρ

)(42)(

−×= powderreq

water

lbWbblV

ρ


powderwt%


powderWreq

1000)( ×−

−

KFoCsFo

reqCsFoKFo literV


=

)(

1000)( ×−−=

KFoCsFo

KForeqCsFo literV


W ρ V

KFoCsFo


ρρ−

−=)(


KFoCsFo


ρρ−

−=)(


W ρ V

)(sts.g. T T

s.g.

ρ ρρρ

s.g.

ρρρ ρ

s.g.

8.336

0.999

350.11

reqreqwt% × ρ

ρ(st) = 0.99243 × 1.000474T × ρ1.0000621

= mass stock brine (lb)

wt% = Aρ3 + Bρ2 + Cρ + D1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

18

17

16

stockstock

reqreqstock wt%

wt%literV

ρρ

×

××=

1000



0.999

)(

water literV =)(

reqreqpowder

wt%kgW

1000)(

××=

ρ

powderreqwater

W

wt%powder

literVρ −×

=1000

)(


stockstockstock wt%

bblVρ×

=)(

water bblV =)(

powder

reqreqpowder wt%

wt%lbW

42)(

××=

ρ

)(42)(

−×= powderreq

water

lbWbblV

ρ


powderwt%


powderWreq

1000)( ×−

−

KFoCsFo

reqCsFoKFo literV


=

)(

1000)( ×−−=

KFoCsFo

KForeqCsFo literV


W ρ V

KFoCsFo


ρρ−

−=)(


KFoCsFo


ρρ−

−=)(


W ρ V

)(sts.g. T T

s.g.

ρ ρρρ

s.g.

ρρρ ρ

s.g.

8.336

0.999

350.11

reqreqwt% × ρ

ρ(st) = 0.99243 × 1.000474T × ρ1.0000621

= mass powder (lb)

A2.2.1 Mixing tables for sodium formate

Using Eq. 1 and Eq. 4 to Eq. 11, sodium formate mixing tables can be prepared for stock brine and powder by using the density of the stock brine, the required density of the new brine, and the formate content as calculated by Equation 1 for the stock brine and the new brine.

Mixing tables are shown in Table 1 and Table 2 for sodium formate powder, with moisture content of 0.3%.

A2.2.2 Mixing tables for potassium formate

Using Eq. 2 and Eq. 4 to Eq. 11, potassium formate mixing tables can be prepared for stock brine and powder by using the density of the stock brine, the required density of the new brine, and the formate content as calculated by Equation 2 for the stock brine and the new brine.

Mixing tables are shown in Table 3 and Table 4 for a standard stock brine (1.57 g/cm3 / 13.1 lb/gal), for a more diluted stock brine (1.54 g/cm3 / 12.8 lb/gal) that is often supplied in the winter, and for a powder with moisture content of 0.3% (typical moisture content of material that has been stored for a while).

A2.2.3 Mixing tables for cesium formate

Cesium formate is only used as single-salt brine at very high densities. In most applications it is blended with potassium formate brine. Mixing tables for single-salt cesium formate brines prepared from 2.20 g/cm3 / 18.36 lb/gal and 2.30 g/cm3 / 19.19 lb/gal stock brine and powder are shown in Table 5 and Table 6. Cesium formate powder can be made with bulk density of 3.19 g/cm3 / 26.62 lb/gal. The moisture content of this dry product is about 0.3%.

A2.3 Density of potassium / cesium formate blends

In most applications a blend of 1.57 g/cm3 / 13.10 lb/gal potassium formate and 2.20 g/cm3 / 18.36 lb/gal cesium formate stock brines can be formulated to cover the entire density range. To achieve lower crystallization temperatures at densities below 1.90 g/cm3 / 15.9 lb/gal, potassium formate stock brine is diluted with water before it is blended with cesium formate. To achieve lower crystallization temperatures at densities above 1.90 g/cm3 / 15.9 lb/gal, cesium formate brine may only be diluted with water.

The volume contraction when blending these two brines is negligible and a linear relationship can be assumed between density and ratio of potassium formate brine to cesium formate brine.

To calculate the amount of potassium and cesium formate brine required to formulate blended brine with a given density, the following equations are used:

Metric:To make up 1 m3 brine with density

wt% = Aρ3 + Bρ2 + Cρ + D1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

18

17

16

stockstock

reqreqstock wt%

wt%literV

ρρ

×

××=

1000



0.999

)(

water literV =)(

reqreqpowder

wt%kgW

1000)(

××=

ρ

powderreqwater

W

wt%powder

literVρ −×

=1000

)(


stockstockstock wt%

bblVρ×

=)(

water bblV =)(

powder

reqreqpowder wt%

wt%lbW

42)(

××=

ρ

)(42)(

−×= powderreq

water

lbWbblV

ρ


powderwt%


powderWreq

1000)( ×−

−

KFoCsFo

reqCsFoKFo literV


=

)(

1000)( ×−−=

KFoCsFo

KForeqCsFo literV


W ρ V

KFoCsFo


ρρ−

−=)(


KFoCsFo


ρρ−

−=)(


W ρ V

)(sts.g. T T

s.g.

ρ ρρρ

s.g.

ρρρ ρ

s.g.

8.336

0.999

350.11

reqreqwt% × ρ

ρ(st) = 0.99243 × 1.000474T × ρ1.0000621

:

wt% = Aρ3 + Bρ2 + Cρ + D1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

18

17

16

stockstock

reqreqstock wt%

wt%literV

ρρ

×

××=

1000



0.999

)(

water literV =)(

reqreqpowder

wt%kgW

1000)(

××=

ρ

powderreqwater

W

wt%powder

literVρ −×

=1000

)(


stockstockstock wt%

bblVρ×

=)(

water bblV =)(

powder

reqreqpowder wt%

wt%lbW

42)(

××=

ρ

)(42)(

−×= powderreq

water

lbWbblV

ρ


powderwt%


powderWreq

1000)( ×−

−

KFoCsFo

reqCsFoKFo literV


=

)(

1000)( ×−−=

KFoCsFo

KForeqCsFo literV


W ρ V

KFoCsFo


ρρ−

−=)(


KFoCsFo


ρρ−

−=)(


W ρ V

)(sts.g. T T

s.g.

ρ ρρρ

s.g.

ρρρ ρ

s.g.

8.336

0.999

350.11

reqreqwt% × ρ

ρ(st) = 0.99243 × 1.000474T × ρ1.0000621

(12)

wt% = Aρ3 + Bρ2 + Cρ + D1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

18

17

16

stockstock

reqreqstock wt%

wt%literV

ρρ

×

××=

1000



0.999

)(

water literV =)(

reqreqpowder

wt%kgW

1000)(

××=

ρ

powderreqwater

W

wt%powder

literVρ −×

=1000

)(


stockstockstock wt%

bblVρ×

=)(

water bblV =)(

powder

reqreqpowder wt%

wt%lbW

42)(

××=

ρ

)(42)(

−×= powderreq

water

lbWbblV

ρ


powderwt%


powderWreq

1000)( ×−

−

KFoCsFo

reqCsFoKFo literV


=

)(

1000)( ×−−=

KFoCsFo

KForeqCsFo literV


W ρ V

KFoCsFo


ρρ−

−=)(


KFoCsFo


ρρ−

−=)(


W ρ V

)(sts.g. T T

s.g.

ρ ρρρ

s.g.

ρρρ ρ

s.g.

8.336

0.999

350.11

reqreqwt% × ρ

ρ(st) = 0.99243 × 1.000474T × ρ1.0000621

(13)

wt% = Aρ3 + Bρ2 + Cρ + D1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

18

17

16

stockstock

reqreqstock wt%

wt%literV

ρρ

×

××=

1000



0.999

)(

water literV =)(

reqreqpowder

wt%kgW

1000)(

××=

ρ

powderreqwater

W

wt%powder

literVρ −×

=1000

)(


stockstockstock wt%

bblVρ×

=)(

water bblV =)(

powder

reqreqpowder wt%

wt%lbW

42)(

××=

ρ

)(42)(

−×= powderreq

water

lbWbblV

ρ


powderwt%


powderWreq

1000)( ×−

−

KFoCsFo

reqCsFoKFo literV


=

)(

1000)( ×−−=

KFoCsFo

KForeqCsFo literV


W ρ V

KFoCsFo


ρρ−

−=)(


KFoCsFo


ρρ−

−=)(


W ρ V

)(sts.g. T T

s.g.

ρ ρρρ

s.g.

ρρρ ρ

s.g.

8.336

0.999

350.11

reqreqwt% × ρ

ρ(st) = 0.99243 × 1.000474T × ρ1.0000621

(14)

wt% = Aρ3 + Bρ2 + Cρ + D1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

18

17

16

stockstock

reqreqstock wt%

wt%literV

ρρ

×

××=

1000



0.999

)(

water literV =)(

reqreqpowder

wt%kgW

1000)(

××=

ρ

powderreqwater

W

wt%powder

literVρ −×

=1000

)(


stockstockstock wt%

bblVρ×

=)(

water bblV =)(

powder

reqreqpowder wt%

wt%lbW

42)(

××=

ρ

)(42)(

−×= powderreq

water

lbWbblV

ρ


powderwt%


powderWreq

1000)( ×−

−

KFoCsFo

reqCsFoKFo literV


=

)(

1000)( ×−−=

KFoCsFo

KForeqCsFo literV


W ρ V

KFoCsFo


ρρ−

−=)(


KFoCsFo


ρρ−

−=)(


W ρ V

)(sts.g. T T

s.g.

ρ ρρρ

s.g.

ρρρ ρ

s.g.

8.336

0.999

350.11

reqreqwt% × ρ

ρ(st) = 0.99243 × 1.000474T × ρ1.0000621

(15)

Where

wt% = Aρ3 + Bρ2 + Cρ + D1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

18

17

16

stockstock

reqreqstock wt%

wt%literV

ρρ

×

××=

1000



0.999

)(

water literV =)(

reqreqpowder

wt%kgW

1000)(

××=

ρ

powderreqwater

W

wt%powder

literVρ −×

=1000

)(


stockstockstock wt%

bblVρ×

=)(

water bblV =)(

powder

reqreqpowder wt%

wt%lbW

42)(

××=

ρ

)(42)(

−×= powderreq

water

lbWbblV

ρ


powderwt%


powderWreq

1000)( ×−

−

KFoCsFo

reqCsFoKFo literV


=

)(

1000)( ×−−=

KFoCsFo

KForeqCsFo literV


W ρ V

KFoCsFo


ρρ−

−=)(


KFoCsFo


ρρ−

−=)(


W ρ V

)(sts.g. T T

s.g.

ρ ρρρ

s.g.

ρρρ ρ

s.g.

8.336

0.999

350.11

reqreqwt% × ρ

ρ(st) = 0.99243 × 1.000474T × ρ1.0000621

= mass [kg]

wt% = Aρ3 + Bρ2 + Cρ + D1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

18

17

16

stockstock

reqreqstock wt%

wt%literV

ρρ

×

××=

1000



0.999

)(

water literV =)(

reqreqpowder

wt%kgW

1000)(

××=

ρ

powderreqwater

W

wt%powder

literVρ −×

=1000

)(


stockstockstock wt%

bblVρ×

=)(

water bblV =)(

powder

reqreqpowder wt%

wt%lbW

42)(

××=

ρ

)(42)(

−×= powderreq

water

lbWbblV

ρ


powderwt%


powderWreq

1000)( ×−

−

KFoCsFo

reqCsFoKFo literV


=

)(

1000)( ×−−=

KFoCsFo

KForeqCsFo literV


W ρ V

KFoCsFo


ρρ−

−=)(


KFoCsFo


ρρ−

−=)(


W ρ V

)(sts.g. T T

s.g.

ρ ρρρ

s.g.

ρρρ ρ

s.g.

8.336

0.999

350.11

reqreqwt% × ρ

ρ(st) = 0.99243 × 1.000474T × ρ1.0000621

= density [g/cm3]

wt% = Aρ3 + Bρ2 + Cρ + D1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

18

17

16

stockstock

reqreqstock wt%

wt%literV

ρρ

×

××=

1000



0.999

)(

water literV =)(

reqreqpowder

wt%kgW

1000)(

××=

ρ

powderreqwater

W

wt%powder

literVρ −×

=1000

)(


stockstockstock wt%

bblVρ×

=)(

water bblV =)(

powder

reqreqpowder wt%

wt%lbW

42)(

××=

ρ

)(42)(

−×= powderreq

water

lbWbblV

ρ


powderwt%


powderWreq

1000)( ×−

−

KFoCsFo

reqCsFoKFo literV


=

)(

1000)( ×−−=

KFoCsFo

KForeqCsFo literV


W ρ V

KFoCsFo


ρρ−

−=)(


KFoCsFo


ρρ−

−=)(


W ρ V

)(sts.g. T T

s.g.

ρ ρρρ

s.g.

ρρρ ρ

s.g.

8.336

0.999

350.11

reqreqwt% × ρ

ρ(st) = 0.99243 × 1.000474T × ρ1.0000621

= volume [liter]

P A G E 6 V E R S I O N 1 0 – 0 5 / 1 5


S E C T I O N A 2

C A B O T

Field:To make up one barrel with density

wt% = Aρ3 + Bρ2 + Cρ + D1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

18

17

16

stockstock

reqreqstock wt%

wt%literV

ρρ

×

××=

1000



0.999

)(

water literV =)(

reqreqpowder

wt%kgW

1000)(

××=

ρ

powderreqwater

W

wt%powder

literVρ −×

=1000

)(


stockstockstock wt%

bblVρ×

=)(

water bblV =)(

powder

reqreqpowder wt%

wt%lbW

42)(

××=

ρ

)(42)(

−×= powderreq

water

lbWbblV

ρ


powderwt%


powderWreq

1000)( ×−

−

KFoCsFo

reqCsFoKFo literV


=

)(

1000)( ×−−=

KFoCsFo

KForeqCsFo literV


W ρ V

KFoCsFo


ρρ−

−=)(


KFoCsFo


ρρ−

−=)(


W ρ V

)(sts.g. T T

s.g.

ρ ρρρ

s.g.

ρρρ ρ

s.g.

8.336

0.999

350.11

reqreqwt% × ρ

ρ(st) = 0.99243 × 1.000474T × ρ1.0000621

:

wt% = Aρ3 + Bρ2 + Cρ + D1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

18

17

16

stockstock

reqreqstock wt%

wt%literV

ρρ

×

××=

1000



0.999

)(

water literV =)(

reqreqpowder

wt%kgW

1000)(

××=

ρ

powderreqwater

W

wt%powder

literVρ −×

=1000

)(


stockstockstock wt%

bblVρ×

=)(

water bblV =)(

powder

reqreqpowder wt%

wt%lbW

42)(

××=

ρ

)(42)(

−×= powderreq

water

lbWbblV

ρ


powderwt%


powderWreq

1000)( ×−

−

KFoCsFo

reqCsFoKFo literV


=

)(

1000)( ×−−=

KFoCsFo

KForeqCsFo literV


W ρ V

KFoCsFo


ρρ−

−=)(


KFoCsFo


ρρ−

−=)(


W ρ V

)(sts.g. T T

s.g.

ρ ρρρ

s.g.

ρρρ ρ

s.g.

8.336

0.999

350.11

reqreqwt% × ρ

ρ(st) = 0.99243 × 1.000474T × ρ1.0000621

(16)

wt% = Aρ3 + Bρ2 + Cρ + D1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

18

17

16

stockstock

reqreqstock wt%

wt%literV

ρρ

×

××=

1000



0.999

)(

water literV =)(

reqreqpowder

wt%kgW

1000)(

××=

ρ

powderreqwater

W

wt%powder

literVρ −×

=1000

)(


stockstockstock wt%

bblVρ×

=)(

water bblV =)(

powder

reqreqpowder wt%

wt%lbW

42)(

××=

ρ

)(42)(

−×= powderreq

water

lbWbblV

ρ


powderwt%


powderWreq

1000)( ×−

−

KFoCsFo

reqCsFoKFo literV


=

)(

1000)( ×−−=

KFoCsFo

KForeqCsFo literV


W ρ V

KFoCsFo


ρρ−

−=)(


KFoCsFo


ρρ−

−=)(


W ρ V

)(sts.g. T T

s.g.

ρ ρρρ

s.g.

ρρρ ρ

s.g.

8.336

0.999

350.11

reqreqwt% × ρ

ρ(st) = 0.99243 × 1.000474T × ρ1.0000621

(17)

wt% = Aρ3 + Bρ2 + Cρ + D1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

18

17

16

stockstock

reqreqstock wt%

wt%literV

ρρ

×

××=

1000



0.999

)(

water literV =)(

reqreqpowder

wt%kgW

1000)(

××=

ρ

powderreqwater

W

wt%powder

literVρ −×

=1000

)(


stockstockstock wt%

bblVρ×

=)(

water bblV =)(

powder

reqreqpowder wt%

wt%lbW

42)(

××=

ρ

)(42)(

−×= powderreq

water

lbWbblV

ρ


powderwt%


powderWreq

1000)( ×−

−

KFoCsFo

reqCsFoKFo literV


=

)(

1000)( ×−−=

KFoCsFo

KForeqCsFo literV


W ρ V

KFoCsFo


ρρ−

−=)(


KFoCsFo


ρρ−

−=)(


W ρ V

)(sts.g. T T

s.g.

ρ ρρρ

s.g.

ρρρ ρ

s.g.

8.336

0.999

350.11

reqreqwt% × ρ

ρ(st) = 0.99243 × 1.000474T × ρ1.0000621

(18)

wt% = Aρ3 + Bρ2 + Cρ + D1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

18

17

16

stockstock

reqreqstock wt%

wt%literV

ρρ

×

××=

1000



0.999

)(

water literV =)(

reqreqpowder

wt%kgW

1000)(

××=

ρ

powderreqwater

W

wt%powder

literVρ −×

=1000

)(


stockstockstock wt%

bblVρ×

=)(

water bblV =)(

powder

reqreqpowder wt%

wt%lbW

42)(

××=

ρ

)(42)(

−×= powderreq

water

lbWbblV

ρ


powderwt%


powderWreq

1000)( ×−

−

KFoCsFo

reqCsFoKFo literV


=

)(

1000)( ×−−=

KFoCsFo

KForeqCsFo literV


W ρ V

KFoCsFo


ρρ−

−=)(


KFoCsFo


ρρ−

−=)(


W ρ V

)(sts.g. T T

s.g.

ρ ρρρ

s.g.

ρρρ ρ

s.g.

8.336

0.999

350.11

reqreqwt% × ρ

ρ(st) = 0.99243 × 1.000474T × ρ1.0000621

(19)

Where

wt% = Aρ3 + Bρ2 + Cρ + D1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

18

17

16

stockstock

reqreqstock wt%

wt%literV

ρρ

×

××=

1000



0.999

)(

water literV =)(

reqreqpowder

wt%kgW

1000)(

××=

ρ

powderreqwater

W

wt%powder

literVρ −×

=1000

)(


stockstockstock wt%

bblVρ×

=)(

water bblV =)(

powder

reqreqpowder wt%

wt%lbW

42)(

××=

ρ

)(42)(

−×= powderreq

water

lbWbblV

ρ


powderwt%


powderWreq

1000)( ×−

−

KFoCsFo

reqCsFoKFo literV


=

)(

1000)( ×−−=

KFoCsFo

KForeqCsFo literV


W ρ V

KFoCsFo


ρρ−

−=)(


KFoCsFo


ρρ−

−=)(


W ρ V

)(sts.g. T T

s.g.

ρ ρρρ

s.g.

ρρρ ρ

s.g.

8.336

0.999

350.11

reqreqwt% × ρ

ρ(st) = 0.99243 × 1.000474T × ρ1.0000621

= mass [lb]

wt% = Aρ3 + Bρ2 + Cρ + D1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

18

17

16

stockstock

reqreqstock wt%

wt%literV

ρρ

×

××=

1000



0.999

)(

water literV =)(

reqreqpowder

wt%kgW

1000)(

××=

ρ

powderreqwater

W

wt%powder

literVρ −×

=1000

)(


stockstockstock wt%

bblVρ×

=)(

water bblV =)(

powder

reqreqpowder wt%

wt%lbW

42)(

××=

ρ

)(42)(

−×= powderreq

water

lbWbblV

ρ


powderwt%


powderWreq

1000)( ×−

−

KFoCsFo

reqCsFoKFo literV


=

)(

1000)( ×−−=

KFoCsFo

KForeqCsFo literV


W ρ V

KFoCsFo


ρρ−

−=)(


KFoCsFo


ρρ−

−=)(


W ρ V

)(sts.g. T T

s.g.

ρ ρρρ

s.g.

ρρρ ρ

s.g.

8.336

0.999

350.11

reqreqwt% × ρ

ρ(st) = 0.99243 × 1.000474T × ρ1.0000621

= density [lb/gal]

wt% = Aρ3 + Bρ2 + Cρ + D1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

18

17

16

stockstock

reqreqstock wt%

wt%literV

ρρ

×

××=

1000



0.999

)(

water literV =)(

reqreqpowder

wt%kgW

1000)(

××=

ρ

powderreqwater

W

wt%powder

literVρ −×

=1000

)(


stockstockstock wt%

bblVρ×

=)(

water bblV =)(

powder

reqreqpowder wt%

wt%lbW

42)(

××=

ρ

)(42)(

−×= powderreq

water

lbWbblV

ρ


powderwt%


powderWreq

1000)( ×−

−

KFoCsFo

reqCsFoKFo literV


=

)(

1000)( ×−−=

KFoCsFo

KForeqCsFo literV


W ρ V

KFoCsFo


ρρ−

−=)(


KFoCsFo


ρρ−

−=)(


W ρ V

)(sts.g. T T

s.g.

ρ ρρρ

s.g.

ρρρ ρ

s.g.

8.336

0.999

350.11

reqreqwt% × ρ

ρ(st) = 0.99243 × 1.000474T × ρ1.0000621

= volume [gal]

Mixing tables for the most commonly used blends of cesium and potassium formate (1.57 g/cm3 / 13.10 lb/gal potassium formate and 2.20 g/cm3 / 18.36 lb/gal cesium formate) are shown in Table 7 and Table 8 for metric and field units respectively, along with stock brine volumes required for blending.

Although blends of Cabot cesium and potassium formate may not have the exact amounts of cesium and potassium formate shown in these tables, they will not deviate much. Special blends may be needed due to specific TCT and PCT requirements. These can be formulated on request using more cesium formate and water, and less potassium formate.

A2.4 Density of sodium / potassium formate blends

Some blending tables exist in the industry for mixing potassium formate brine, sodium formate powder, and water at various TCTs. Due to the inconsistency in TCT measurements performed at the various laboratories, these tables are not reliable. Cabot does not provide blending tables for sodium / potassium formate brines.

A2.5 Density, compressibility, and thermal expansion coefficients for potassium and cesium formate brines and blends

Density, compressibility, and thermal expansion coefficients have been measured for nine typical potassium and cesium formate brines and blends over a wide range of temperatures (4.4 – 204°C / 40 – 400°F) and pressures (6.9 – 138 MPa / 1,000 – 20,000 psia). Based on measured data, tables have been constructed that provide density, compressibility, and thermal expansion coefficients for the measured brines.

These are shown in Table 9 to Table 32. Testing was completed by Westport International Inc. [1] with PVT measurements taken using test equipment consisting of two cells connected to a single pump and pressure gauge. The measurements were made by injecting or removing mercury. Standard error detection included a pycnometer determination.

The test covered five potassium formate brines with densities from 1.10 to 1.58 g/cm3 / 9.2 – 13.2 lb/gal, two cesium / potassium formate blends, and pure cesium formate. The blended potassium / cesium formate brines were composed of concentrated potassium formate (1.57 g/cm3 / 13.10 lb/gal) and concentrated cesium formate (2.284 g/cm3 / 19.06 lb/gal).

A2.5.1 Software package DensiCalc

The above mentioned PVT data for cesium and potassium formate brines and blends have been incorporated into a custom-built software package, DensiCalc. DensiCalc converts surface density at any temperature to the equivalent density of brine at standard conditions (15.6°C / 60°F). Density of brine at standard conditions (15.6°C / 60°F) can also be calculated by using the following equation:

wt% = Aρ3 + Bρ2 + Cρ + D1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

18

17

16

stockstock

reqreqstock wt%

wt%literV

ρρ

×

××=

1000



0.999

)(

water literV =)(

reqreqpowder

wt%kgW

1000)(

××=

ρ

powderreqwater

W

wt%powder

literVρ −×

=1000

)(


stockstockstock wt%

bblVρ×

=)(

water bblV =)(

powder

reqreqpowder wt%

wt%lbW

42)(

××=

ρ

)(42)(

−×= powderreq

water

lbWbblV

ρ


powderwt%


powderWreq

1000)( ×−

−

KFoCsFo

reqCsFoKFo literV


=

)(

1000)( ×−−=

KFoCsFo

KForeqCsFo literV


W ρ V

KFoCsFo


ρρ−

−=)(


KFoCsFo


ρρ−

−=)(


W ρ V

)(sts.g. T T

s.g.

ρ ρρρ

s.g.

ρρρ ρ

s.g.

8.336

0.999

350.11

reqreqwt% × ρ

ρ(st) = 0.99243 × 1.000474T × ρ1.0000621 (20)

whereρ(st) = specific gravity at standard conditions (15.6°C / 60°F)T = temperature (°C)ρ = measured density at temperature T

The software also calculates average density of fluid in the wellbore and hydrostatic pressure thus generated for any given cesium / potassium formate brine. The software has been validated in the field against a PLT log with a predicted EMW of 2.137 g/cm3 and matched up nicely with a measured value of 2.136 g/cm3. The difference between the actual and predicted bottom-hole pressure was only 2.1 bars / 31 psi in a well with a TVD of 5,505 m / 18,061 ft. The DensiCalc software, which is valid for diluted potassium formate brine in the density range 1.00 – 1.57 g/cm3 / 8.34 – 13.10 lb/gal and for potassium / cesium formate brine blends in the density range 1.57 – 2.20 g/cm3 / 13.10– 18.36 lb/gal, is available from Cabot. More information can be found on cabotcorp.com/densicalc.



C A B O T

As a rule of thumb:

The density of formate brine at the bottom of an average HPHT well is about 0.03 g/cm3 / 0.25 lb/gal

lower than at the surface.

A screen dump of the DensiCalc interface is shown in Figure 1 to illustrate the simple input and output fields.

Figure 1 DensiCalc software for calculating surface and downhole pressures. DensiCalc is available from Cabot.

A2.5.2 PVTCalc software

PVTCalc calculates density, thermal expansion coefficient, and compressibility under actual downhole pressure and temperature conditions. Required input is density at reference conditions. Please go to cabotcorp.com/pvtcalc to download your free copy.

References

[1] “Cabot – Compressibility report”, report # R-03-144, Westport Technology Center International.

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Figure 2 Density of sodium, potassium, and cesium formate field-grade brines as a function of concentration (wt%) of these salts at 15.6°C / 60°F.

Den

sity

[g

/cm

3]

Concentration [wt%]

Den

sity

[lb

/gal

]

1.0

1.1

1.2

1.3

1.4

1.5

1.6

1.7

1.8

1.9

2.0

2.1

2.2

2.3

2.4

0 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90

Density vs. concentration at 15.6°C

Concentration [wt%]

Sodium formate Potassium formate Cesium formate

8

9

10

11

12

13

14

15

16

17

18

19

20

0 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90

Density vs. concentration at 60°F


METRIC

FIELD



C A B O T

Figure 3 Density of sodium, potassium, and cesium formate field-grade brines as a function of molar concentration (mol/L) at 15.6°C / 60°F.

Concentration [mol/L]

Concentration [mol/L]

Den

sity

[lb

/gal

]

1.0

1.1

1.2

1.3

1.4

1.5

1.6

1.7

1.8

1.9

2.0

2.1

2.2

2.3

2.4

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

Density vs. molar concentration at 15.6°CD

ensi

ty [

g/c

m3]

8

9

10

11

12

13

14

15

16

17

18

19

20

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16

Density vs. molar concentration at 60°F



METRIC

FIELD

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Table 1 Metric mixing table for sodium formate brine from sodium formate powder with moisture content of 0.3%.

METRIC

Density NaFo NaFo NaFoQuantities for 1 m3 from

powder (0.3% H2O)Powder Water

[g/cm3] [wt%] [mol/L] [mol%] [kg] [liter]0.999 0.0 0.00 0.0 0.0 1,000.01.000 0.1 0.02 0.0 1.4 999.61.010 1.8 0.26 0.5 17.8 993.21.020 3.3 0.50 0.9 34.3 986.71.030 4.9 0.75 1.4 51.0 980.01.040 6.5 0.99 1.8 67.9 973.11.050 8.1 1.25 2.3 84.9 966.01.060 9.6 1.50 2.7 102.2 958.81.070 11.1 1.75 3.2 119.6 951.31.080 12.7 2.01 3.7 137.2 943.71.090 14.2 2.27 4.2 155.0 936.01.100 15.7 2.53 4.7 172.9 928.01.110 17.2 2.80 5.2 191.0 919.91.120 18.6 3.07 5.7 209.2 911.71.130 20.1 3.34 6.2 227.6 903.31.140 21.5 3.61 6.8 246.2 894.71.150 23.0 3.88 7.3 264.8 886.01.160 24.4 4.16 7.9 283.7 877.21.170 25.8 4.44 8.4 302.6 868.21.180 27.2 4.72 9.0 321.7 859.11.190 28.6 5.00 9.6 340.9 849.91.200 29.9 5.28 10.2 360.3 840.61.210 31.3 5.57 10.8 379.7 831.11.220 32.6 5.85 11.4 399.3 821.51.230 34.0 6.14 12.0 419.0 811.81.240 35.3 6.43 12.6 438.8 802.01.250 36.6 6.73 13.3 458.7 792.11.260 37.9 7.02 13.9 478.8 782.01.270 39.2 7.31 14.6 498.9 771.91.280 40.4 7.61 15.2 519.1 761.71.290 41.7 7.91 15.9 539.4 751.41.300 42.9 8.21 16.6 559.7 741.01.310 44.2 8.51 17.3 580.2 730.51.320 45.4 8.81 18.0 600.8 720.01.330 46.6 9.11 18.8 621.4 709.31.340 47.8 9.41 19.5 642.1 698.61.350 49.0 9.72 20.3 662.8 687.91.360 50.1 10.02 21.0 683.7 677.0


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Table 2 Field unit mixing table for sodium formate brine from sodium formate powder with moisture content of 0.3%.

FIELD

Density NaFo NaFo NaFoQuantities for 1 bbl from powder

(0.3% H2O)Powder Water

[lb/gal] [wt%] [mol/L] [mol%] [lb] [bbl]8.34 0.0 0.0 0.0 0.0 1.000

8.40 1.2 0.2 0.3 4.2 0.995

8.50 3.1 0.5 0.8 11.2 0.988

8.60 5.0 0.8 1.4 18.2 0.980

8.70 6.9 1.1 1.9 25.3 0.971

8.80 8.8 1.4 2.5 32.5 0.963

8.90 10.6 1.7 3.0 39.8 0.954

9.00 12.4 2.0 3.6 47.1 0.945

9.10 14.2 2.3 4.2 54.6 0.936

9.20 16.0 2.6 4.8 62.1 0.926

9.30 17.8 2.9 5.4 69.7 0.916

9.40 19.6 3.2 6.0 77.4 0.906

9.50 21.3 3.6 6.7 85.2 0.896

9.60 23.0 3.9 7.3 93.0 0.886

9.70 24.7 4.2 8.0 101.0 0.875

9.80 26.4 4.6 8.7 108.9 0.864

9.90 28.1 4.9 9.4 117.0 0.853

10.00 29.7 5.2 10.1 125.1 0.842

10.10 31.3 5.6 10.8 133.3 0.831

10.20 32.9 5.9 11.5 141.5 0.819

10.30 34.5 6.3 12.3 149.8 0.808

10.40 36.1 6.6 13.0 158.1 0.796

10.50 37.6 7.0 13.8 166.5 0.784

10.60 39.2 7.3 14.6 175.0 0.772

10.70 40.7 7.7 15.4 183.5 0.759

10.80 42.2 8.0 16.2 192.0 0.747

10.90 43.7 8.4 17.0 200.6 0.735

11.00 45.1 8.7 17.9 209.2 0.722

11.10 46.6 9.1 18.8 217.9 0.709

11.20 48.0 9.5 19.7 226.5 0.696

11.30 49.4 9.8 20.6 235.3 0.683

11.40 50.8 10.2 21.5 244.0 0.670

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Table 3 Metric mixing table for potassium formate brine from standard stock brine (1.57 g/cm3), a diluted potassium formate stock brine (1.54 g/cm3), and potassium formate powder with water content of 0.3%.

METRIC

Density KFo conc. KFo conc. KFo conc.Quantities for 1 m3 from 1.57 g/cm3 stock brine

Quantities for 1 m3 from 1.54 g/cm3 stock brine

Quantities for 1 m3 from powder (0.3% H2O)

Brine Water Brine Water Powder Water[g/cm3] [wt%] [mol/L] [mol%] [liter] [liter] [liter] [liter] [kg] [liter]

0.999 0.00 0.00 0.00 0.0 1,000.0 0.0 1,000.0 0.0 1,000.01.000 0.16 0.02 0.03 1.3 998.9 1.4 998.8 1.6 999.41.010 1.90 0.23 0.41 16.2 985.5 17.2 984.5 19.2 991.81.020 3.62 0.44 0.80 31.3 971.9 33.2 969.9 37.0 984.01.030 5.32 0.65 1.19 46.4 958.1 49.3 955.1 55.0 976.01.040 7.00 0.87 1.59 61.7 944.1 65.5 940.1 73.1 967.91.050 8.67 1.08 1.99 77.1 929.9 81.9 924.8 91.3 959.71.060 10.32 1.30 2.40 92.6 915.5 98.4 909.4 109.7 951.21.070 11.95 1.52 2.82 108.3 900.9 115.0 893.8 128.2 942.71.080 13.56 1.74 3.25 124.1 886.1 131.7 878.0 146.9 934.01.090 15.16 1.96 3.69 140.0 871.1 148.6 862.0 165.7 925.21.100 16.74 2.19 4.13 156.0 856.0 165.6 845.8 184.7 916.21.110 18.30 2.42 4.58 172.1 840.7 182.7 829.5 203.8 907.21.120 19.85 2.64 5.04 188.3 825.2 199.9 813.0 223.0 897.91.130 21.38 2.87 5.50 204.6 809.6 217.2 796.3 242.3 888.61.140 22.89 3.10 5.98 221.0 793.8 234.7 779.4 261.7 879.21.150 25.10 3.45 6.70 245.5 770.1 260.7 754.1 290.7 864.91.160 25.87 3.57 6.95 254.2 761.7 269.9 745.2 301.0 859.91.170 27.33 3.80 7.46 270.9 745.5 287.6 727.8 320.8 850.11.180 28.78 4.04 7.97 287.7 729.1 305.4 710.3 340.7 840.21.190 30.22 4.27 8.49 304.6 712.5 323.4 692.7 360.7 830.21.200 31.64 4.51 9.02 321.6 695.8 341.4 674.9 380.8 820.01.210 33.04 4.75 9.56 338.6 679.0 359.6 656.9 401.0 809.81.220 34.43 4.99 10.11 355.8 662.0 377.8 638.9 421.3 799.51.230 35.81 5.24 10.67 373.1 645.0 396.1 620.7 441.7 789.11.240 37.17 5.48 11.24 390.4 627.7 414.5 602.3 462.3 778.51.250 38.51 5.72 11.83 407.8 610.4 433.0 583.8 482.9 767.91.260 39.85 5.97 12.42 425.3 592.9 451.5 565.2 503.6 757.21.270 41.16 6.21 13.03 442.8 575.3 470.2 546.5 524.4 746.41.280 42.47 6.46 13.65 460.5 557.6 488.9 527.7 545.2 735.51.290 43.76 6.71 14.28 478.2 539.8 507.7 508.7 566.2 724.51.300 45.04 6.96 14.93 495.9 521.9 526.6 489.6 587.3 713.51.310 46.30 7.21 15.59 513.8 503.9 545.5 470.4 608.4 702.31.320 47.55 7.46 16.26 531.7 485.7 564.5 451.1 629.6 691.11.330 48.79 7.72 16.95 549.7 467.4 583.6 431.6 650.9 679.81.340 50.02 7.97 17.65 567.8 449.1 602.8 412.1 672.3 668.41.350 51.24 8.22 18.37 585.9 430.6 622.0 392.4 693.8 656.91.360 52.44 8.48 19.10 604.1 412.0 641.4 372.7 715.3 645.41.370 53.63 8.73 19.85 622.3 393.3 660.7 352.8 736.9 633.71.380 54.81 8.99 20.62 640.6 374.6 680.2 332.8 758.6 622.01.390 55.97 9.25 21.40 659.0 355.7 699.7 312.8 780.4 610.31.400 57.13 9.51 22.20 677.5 336.7 719.3 292.6 802.2 598.41.410 58.27 9.77 23.02 696.0 317.7 738.9 272.3 824.1 586.51.420 59.40 10.03 23.86 714.5 298.5 758.6 252.0 846.1 574.51.430 60.53 10.29 24.72 733.1 279.2 778.4 231.5 868.1 562.41.440 61.64 10.55 25.60 751.8 259.9 798.2 210.9 890.3 550.31.450 62.74 10.81 26.50 770.6 240.4 818.1 190.3 912.4 538.11.460 63.83 11.08 27.43 789.4 220.9 838.1 169.5 934.7 525.81.470 64.91 11.34 28.38 808.2 201.3 858.1 148.6 957.0 513.51.480 65.98 11.61 29.35 827.1 181.6 878.2 127.7 979.4 501.11.490 67.04 11.88 30.34 846.1 161.8 898.3 106.6 1,001.9 488.61.500 68.09 12.14 31.37 865.2 141.9 918.6 85.5 1,024.4 476.01.510 69.13 12.41 32.42 884.2 121.9 938.8 64.3 1,047.1 463.41.520 70.17 12.68 33.50 903.4 101.8 959.2 42.9 1,069.7 450.71.530 71.19 12.95 34.61 922.6 81.6 979.5 21.5 1,092.5 438.01.540 72.20 13.22 35.75 941.9 61.3 1,000.0 0.0 1,115.3 425.11.550 73.21 13.49 36.92 961.2 41.0 1,138.2 412.31.560 74.21 13.76 38.13 980.6 20.5 1,161.1 399.31.570 75.20 14.04 39.37 1,000.0 0.0 1,184.1 386.31.580 76.18 14.31 40.65 1,207.2 373.21.590 77.15 14.58 41.97 1,230.4 360.01.600 78.12 14.86 43.33 1,253.6 346.71.610 79.07 15.13 44.73 1,276.9 333.41.620 80.02 15.41 46.18 1,300.3 320.01.630 80.97 15.69 47.67 1,323.7 306.61.640 81.90 15.97 49.22 1,347.2 293.01.650 82.83 16.25 50.82 1,370.8 279.4



C A B O T

Table 4 Field unit mixing table for potassium formate brine from standard stock brine (13.10 lb/gal), a diluted stock brine (12.85 lb/gal), and potassium formate powder with water content of 0.3%.

FIELD

Density KFo conc. KFo conc. KFo conc.Quantities for 1 bbl from 12.85 lb/gal stock brine

Quantities for 1 bbl from 13.10 lb/gal stock brine

Quantities for 1 bbl from powder (0.3% H2O)

Brine Water Brine Water Powder Water[lb/gal] [wt%] [mol/L] [mol%] [bbl] [bbl] [bbl] [bbl] [lb] [bbl]

8.34 0.00 0.00 0.00 0.000 1.000 0.000 1.000 0.0 1.0008.40 1.30 0.16 0.28 0.012 0.989 0.011 0.990 4.6 0.9948.50 3.36 0.41 0.74 0.031 0.972 0.029 0.974 12.0 0.9858.60 5.41 0.66 1.21 0.050 0.954 0.047 0.957 19.6 0.9768.70 7.42 0.92 1.69 0.070 0.936 0.066 0.941 27.2 0.9668.80 9.41 1.18 2.18 0.089 0.918 0.084 0.923 34.9 0.9568.90 11.37 1.44 2.67 0.109 0.899 0.103 0.906 42.6 0.9469.00 13.31 1.71 3.18 0.129 0.880 0.122 0.888 50.5 0.9359.10 15.23 1.97 3.70 0.149 0.861 0.141 0.870 58.4 0.9259.20 17.12 2.24 4.24 0.170 0.842 0.160 0.852 66.3 0.9149.30 18.98 2.51 4.78 0.190 0.822 0.179 0.834 74.4 0.9039.40 20.82 2.79 5.33 0.211 0.802 0.199 0.815 82.5 0.8929.50 22.64 3.06 5.90 0.232 0.782 0.218 0.796 90.6 0.8819.60 24.44 3.34 6.48 0.253 0.762 0.238 0.777 98.8 0.8699.70 26.21 3.62 7.07 0.274 0.741 0.258 0.758 107.1 0.8589.80 27.96 3.90 7.67 0.295 0.720 0.278 0.738 115.4 0.8469.90 29.69 4.19 8.29 0.317 0.699 0.298 0.719 123.8 0.834

10.00 31.39 4.47 8.92 0.338 0.678 0.319 0.699 132.2 0.82210.10 33.08 4.76 9.57 0.360 0.656 0.339 0.678 140.7 0.81010.20 34.74 5.05 10.23 0.382 0.635 0.360 0.658 149.3 0.79710.30 36.38 5.34 10.91 0.404 0.613 0.381 0.637 157.9 0.78510.40 38.00 5.63 11.60 0.426 0.591 0.401 0.617 166.5 0.77210.50 39.60 5.92 12.31 0.448 0.568 0.422 0.596 175.2 0.75910.60 41.18 6.22 13.04 0.471 0.546 0.443 0.575 183.9 0.74610.70 42.75 6.52 13.79 0.493 0.523 0.464 0.554 192.7 0.73310.80 44.29 6.81 14.55 0.516 0.501 0.486 0.532 201.5 0.72010.90 45.81 7.11 15.33 0.538 0.478 0.507 0.511 210.4 0.70711.00 47.32 7.41 16.13 0.561 0.454 0.529 0.489 219.3 0.69311.10 48.80 7.72 16.95 0.584 0.431 0.550 0.467 228.2 0.68011.20 50.27 8.02 17.80 0.607 0.408 0.572 0.445 237.2 0.66611.30 51.72 8.33 18.66 0.630 0.384 0.594 0.423 246.2 0.65211.40 53.16 8.63 19.55 0.653 0.360 0.615 0.400 255.3 0.63811.50 54.57 8.94 20.46 0.677 0.337 0.637 0.378 264.4 0.62411.60 55.97 9.25 21.40 0.700 0.312 0.659 0.355 273.5 0.61011.70 57.35 9.56 22.36 0.723 0.288 0.681 0.333 282.7 0.59611.80 58.72 9.87 23.35 0.747 0.264 0.704 0.310 291.9 0.58211.90 60.07 10.18 24.37 0.771 0.239 0.726 0.287 301.1 0.56712.00 61.41 10.50 25.42 0.794 0.215 0.748 0.264 310.4 0.55312.10 62.73 10.81 26.49 0.818 0.190 0.771 0.240 319.7 0.53812.20 64.03 11.13 27.60 0.842 0.165 0.793 0.217 329.1 0.52312.30 65.32 11.45 28.75 0.866 0.140 0.816 0.193 338.5 0.50912.40 66.60 11.76 29.93 0.890 0.115 0.839 0.170 347.9 0.49412.50 67.86 12.08 31.14 0.915 0.090 0.861 0.146 357.4 0.47912.60 69.11 12.41 32.40 0.939 0.064 0.884 0.122 366.9 0.46412.70 70.35 12.73 33.69 0.963 0.039 0.907 0.098 376.4 0.44812.80 71.57 13.05 35.03 0.988 0.013 0.930 0.073 385.9 0.43312.85 72.18 13.21 35.72 1.000 0.000 0.942 0.061 390.7 0.42512.90 72.78 13.38 36.42 0.953 0.049 395.5 0.41813.00 73.98 13.70 37.85 0.977 0.025 405.2 0.40213.10 75.17 14.03 39.33 1.000 0.000 414.8 0.38713.20 76.34 14.36 40.87 424.5 0.37113.30 77.51 14.68 42.46 434.3 0.35513.40 78.66 15.02 44.12 444.0 0.33913.50 79.80 15.35 45.83 453.8 0.32313.60 80.93 15.68 47.62 463.7 0.30713.70 82.05 16.01 49.48 473.6 0.29113.80 83.17 16.35 51.41 483.5 0.27413.90 84.27 16.69 53.43 493.4 0.25814.00 85.36 17.02 55.53 503.4 0.24114.10 86.45 17.36 57.73 513.5 0.22514.20 87.52 17.70 60.04 523.6 0.208

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Table 5 Metric mixing table for cesium formate brine using 2.20 g/cm3 cesium formate stock brine, more concentrated 2.30 g/cm3 cesium formate stock brine, and cesium formate powder with moisture content of 0.3%.

METRIC

Density CsFo conc. CsFo conc. CsFo conc.Quantities for 1 m3 from 2.20 g/cm3 stock brine


Quantities for 1 m3 from wet powder (0.3% H2O)

Brine Water Brine Water Powder Water [g/cm3] [wt%] [mol/L] [mol%] [liter] [liter] [liter] [liter] [kg] [liter]

0.999 0.00 0.00 0.00 0.00 1,000.00 0.00 1,000.00 0.0 1,000.01.000 0.13 0.01 0.01 0.71 999.43 0.65 999.49 1.3 999.71.010 1.50 0.09 0.15 8.60 992.06 7.92 992.78 15.2 995.81.020 2.85 0.16 0.30 16.51 984.67 15.19 986.05 29.1 991.91.030 4.17 0.24 0.44 24.42 977.25 22.48 979.28 43.1 987.91.040 5.47 0.32 0.58 32.35 969.80 29.77 972.50 57.1 983.91.050 6.75 0.40 0.73 40.29 962.33 37.08 965.69 71.1 979.91.060 8.01 0.48 0.87 48.24 954.84 44.39 958.86 85.2 975.81.070 9.24 0.56 1.02 56.20 947.32 51.71 952.01 99.2 971.81.080 10.46 0.63 1.17 64.16 939.78 59.05 945.13 113.3 967.71.090 11.65 0.71 1.32 72.14 932.22 66.39 938.24 127.4 963.61.100 12.82 0.79 1.47 80.13 924.63 73.74 931.32 141.5 959.51.110 13.97 0.87 1.62 88.13 917.02 81.11 924.38 155.6 955.41.120 15.11 0.95 1.77 96.14 909.40 88.48 917.42 169.7 951.21.130 16.22 1.03 1.92 104.16 901.75 95.86 910.44 183.9 947.11.140 17.32 1.11 2.08 112.19 894.08 103.24 903.44 198.0 942.91.155 18.91 1.23 2.31 124.09 882.69 114.19 893.05 219.1 936.71.160 19.46 1.27 2.39 128.27 878.68 118.04 889.39 226.4 934.51.170 20.51 1.35 2.55 136.33 870.95 125.46 882.33 240.7 930.31.180 21.54 1.43 2.70 144.39 863.20 132.88 875.26 254.9 926.01.190 22.55 1.51 2.86 152.46 855.43 140.31 868.16 269.1 921.81.200 23.55 1.59 3.02 160.55 847.65 147.74 861.05 283.4 917.51.210 24.53 1.67 3.19 168.64 839.84 155.19 853.92 297.7 913.21.220 25.50 1.75 3.35 176.73 832.02 162.64 846.77 312.0 908.91.230 26.45 1.83 3.51 184.84 824.18 170.10 839.61 326.3 904.61.240 27.39 1.91 3.68 192.95 816.32 177.57 832.43 340.6 900.31.250 28.31 1.99 3.84 201.08 808.44 185.04 825.23 355.0 895.91.260 29.22 2.07 4.01 209.21 800.55 192.52 818.01 369.3 891.61.270 30.12 2.15 4.18 217.34 792.64 200.01 810.78 383.7 887.21.280 31.00 2.23 4.35 225.49 784.71 207.51 803.53 398.1 882.81.290 31.88 2.31 4.52 233.64 776.77 215.01 796.27 412.4 878.41.300 32.74 2.39 4.70 241.80 768.81 222.52 788.99 426.9 874.01.310 33.58 2.47 4.87 249.97 760.83 230.04 781.69 441.3 869.61.320 34.42 2.55 5.05 258.14 752.84 237.56 774.38 455.7 865.21.330 35.24 2.63 5.22 266.33 744.83 245.09 767.06 470.1 860.71.340 36.06 2.72 5.40 274.52 736.80 252.63 759.72 484.6 856.31.350 36.86 2.80 5.58 282.71 728.76 260.17 752.36 499.1 851.81.360 37.65 2.88 5.76 290.92 720.71 267.72 744.99 513.6 847.31.370 38.43 2.96 5.94 299.13 712.64 275.27 737.61 528.0 842.81.380 39.20 3.04 6.13 307.34 704.55 282.84 730.21 542.6 838.31.390 39.96 3.12 6.31 315.57 696.45 290.40 722.79 557.1 833.81.400 40.71 3.20 6.50 323.80 688.34 297.98 715.36 571.6 829.21.410 41.45 3.28 6.69 332.03 680.21 305.56 707.92 586.1 824.71.420 42.18 3.37 6.88 340.28 672.06 313.15 700.47 600.7 820.11.430 42.90 3.45 7.07 348.53 663.90 320.74 693.00 615.3 815.61.440 43.61 3.53 7.26 356.78 655.73 328.34 685.51 629.8 811.01.450 44.31 3.61 7.46 365.05 647.55 335.94 678.02 644.4 806.41.460 45.00 3.69 7.65 373.32 639.34 343.55 670.51 659.0 801.81.470 45.69 3.77 7.85 381.59 631.13 351.16 662.98 673.6 797.21.480 46.36 3.86 8.05 389.87 622.90 358.79 655.45 688.2 792.61.490 47.03 3.94 8.25 398.16 614.66 366.41 647.90 702.9 787.91.500 47.69 4.02 8.45 406.45 606.41 374.04 640.34 717.5 783.31.510 48.34 4.10 8.66 414.75 598.14 381.68 632.76 732.2 778.61.520 48.99 4.18 8.86 423.06 589.86 389.33 625.18 746.8 774.01.530 49.62 4.27 9.07 431.37 581.57 396.97 617.58 761.5 769.31.540 50.25 4.35 9.28 439.69 573.26 404.63 609.96 776.2 764.61.550 50.87 4.43 9.49 448.01 564.94 412.29 602.34 790.9 759.91.560 51.48 4.51 9.70 456.34 556.61 419.95 594.70 805.6 755.21.570 52.09 4.60 9.92 464.67 548.26 427.62 587.05 820.3 750.51.580 52.69 4.68 10.13 473.02 539.91 435.30 579.39 835.0 745.71.590 53.28 4.76 10.35 481.36 531.54 442.98 571.72 849.7 741.01.600 53.87 4.84 10.57 489.71 523.15 450.67 564.03 864.5 736.21.610 54.45 4.93 10.80 498.07 514.76 458.36 556.34 879.2 731.51.620 55.02 5.01 11.02 506.43 506.35 466.05 548.63 894.0 726.71.630 55.59 5.09 11.25 514.80 497.93 473.75 540.91 908.8 721.91.640 56.15 5.18 11.48 523.18 489.50 481.46 533.18 923.6 717.21.650 56.70 5.26 11.71 531.55 481.06 489.17 525.43 938.4 712.41.660 57.25 5.34 11.94 539.94 472.61 496.89 517.68 953.2 707.61.670 57.79 5.42 12.17 548.33 464.14 504.61 509.91 968.0 702.71.680 58.32 5.51 12.41 556.72 455.66 512.33 502.14 982.8 697.91.690 58.85 5.59 12.65 565.12 447.17 520.06 494.35 997.6 693.11.700 59.38 5.67 12.89 573.53 438.67 527.80 486.55 1,012.5 688.21.710 59.90 5.76 13.14 581.94 430.16 535.54 478.74 1,027.3 683.41.720 60.41 5.84 13.38 590.36 421.63 543.28 470.92 1,042.2 678.51.730 60.92 5.92 13.63 598.78 413.10 551.03 463.08 1,057.0 673.71.740 61.42 6.01 13.88 607.21 404.55 558.79 455.24 1,071.9 668.8



C A B O T

Table 5 continued

METRIC

Density CsFo conc. CsFo conc. CsFo conc.Quantities for 1 m3 from 2.20 g/cm3 stock brine


Quantities for 1 m3 from wet powder (0.3% H2O)

Brine Water Brine Water Powder Water [g/cm3] [wt%] [mol/L] [mol%] [liter] [liter] [liter] [liter] [kg] [liter]

1.750 61.92 6.09 14.13 615.64 395.99 566.55 447.39 1,086.8 663.91.760 62.41 6.17 14.39 624.07 387.42 574.31 439.52 1,101.7 659.01.770 62.89 6.26 14.65 632.52 378.84 582.08 431.64 1,116.6 654.11.780 63.38 6.34 14.91 640.96 370.25 589.85 423.76 1,131.5 649.21.790 63.85 6.42 15.17 649.41 361.65 597.63 415.86 1,146.4 644.21.800 64.33 6.51 15.44 657.87 353.04 605.42 407.95 1,161.3 639.31.810 64.79 6.59 15.71 666.33 344.41 613.20 400.03 1,176.3 634.41.820 65.26 6.68 15.98 674.80 335.78 620.99 392.11 1,191.2 629.41.830 65.71 6.76 16.25 683.27 327.13 628.79 384.17 1,206.2 624.41.840 66.17 6.84 16.53 691.75 318.47 636.59 376.22 1,221.1 619.51.850 66.62 6.93 16.81 700.23 309.81 644.40 368.26 1,236.1 614.51.860 67.06 7.01 17.09 708.72 301.13 652.21 360.29 1,251.1 609.51.870 67.50 7.09 17.38 717.21 292.44 660.02 352.31 1,266.1 604.51.880 67.94 7.18 17.67 725.70 283.74 667.84 344.32 1,281.1 599.51.890 68.37 7.26 17.96 734.20 275.03 675.66 336.32 1,296.1 594.51.900 68.80 7.35 18.25 742.71 266.31 683.49 328.31 1,311.1 589.51.910 69.22 7.43 18.55 751.22 257.58 691.32 320.29 1,326.1 584.51.920 69.64 7.52 18.85 759.73 248.84 699.15 312.26 1,341.2 579.41.930 70.06 7.60 19.15 768.25 240.08 707.00 304.22 1,356.2 574.41.940 70.47 7.68 19.46 776.78 231.32 714.84 296.17 1,371.2 569.31.950 70.88 7.77 19.77 785.31 222.55 722.69 288.10 1,386.3 564.31.960 71.28 7.85 20.09 793.84 213.77 730.54 280.03 1,401.4 559.21.970 71.68 7.94 20.40 802.38 204.98 738.40 271.95 1,416.4 554.11.980 72.08 8.02 20.72 810.92 196.17 746.26 263.86 1,431.5 549.01.990 72.48 8.11 21.05 819.47 187.36 754.13 255.77 1,446.6 543.92.000 72.87 8.19 21.38 828.02 178.54 762.00 247.66 1,461.7 538.82.010 73.25 8.28 21.71 836.58 169.70 769.87 239.54 1,476.8 533.72.020 73.64 8.36 22.05 845.14 160.86 777.75 231.41 1,491.9 528.62.030 74.02 8.44 22.39 853.70 152.01 785.63 223.27 1,507.0 523.52.040 74.39 8.53 22.73 862.27 143.14 793.52 215.12 1,522.2 518.42.050 74.77 8.61 23.08 870.85 134.27 801.41 206.97 1,537.3 513.22.060 75.14 8.70 23.43 879.43 125.39 809.30 198.80 1,552.4 508.12.070 75.50 8.78 23.78 888.01 116.49 817.20 190.62 1,567.6 502.92.080 75.87 8.87 24.14 896.60 107.59 825.11 182.44 1,582.8 497.72.090 76.23 8.95 24.51 905.19 98.68 833.01 174.24 1,597.9 492.62.100 76.58 9.04 24.88 913.79 89.76 840.93 166.04 1,613.1 487.42.110 76.94 9.12 25.25 922.39 80.82 848.84 157.82 1,628.3 482.22.120 77.29 9.21 25.63 931.00 71.88 856.76 149.60 1,643.5 477.02.130 77.64 9.29 26.01 939.61 62.93 864.69 141.37 1,658.7 471.82.140 77.98 9.38 26.40 948.22 53.97 872.61 133.12 1,673.9 466.62.150 78.33 9.46 26.79 956.84 45.00 880.54 124.87 1,689.1 461.42.160 78.67 9.55 27.19 965.46 36.02 888.48 116.61 1,704.3 456.12.170 79.00 9.64 27.59 974.09 27.03 896.42 108.34 1,719.6 450.92.180 79.34 9.72 28.00 982.72 18.03 904.36 100.06 1,734.8 445.72.190 79.67 9.81 28.41 991.36 9.02 912.31 91.77 1,750.0 440.42.200 80.00 9.89 28.83 1,000.00 0.00 920.26 83.48 1,765.3 435.12.210 80.33 9.98 29.25 928.22 75.17 1,780.6 429.92.220 80.65 10.06 29.68 936.18 66.85 1,795.8 424.62.230 80.97 10.15 30.11 944.14 58.53 1,811.1 419.32.240 81.29 10.23 30.55 952.11 50.19 1,826.4 414.02.250 81.61 10.32 31.00 960.08 41.85 1,841.7 408.72.260 81.92 10.41 31.45 968.06 33.50 1,857.0 403.42.270 82.23 10.49 31.91 976.04 25.14 1,872.3 398.12.280 82.54 10.58 32.37 984.02 16.77 1,887.6 392.82.290 82.85 10.66 32.84 992.01 8.39 1,902.9 387.52.300 83.15 10.75 33.32 1,000.00 0.00 1,918.2 382.12.310 83.45 10.83 33.81 1,933.6 376.82.320 83.75 10.92 34.30 1,948.9 371.42.330 84.05 11.01 34.79 1,964.3 366.12.340 84.35 11.09 35.30 1,979.6 360.72.350 84.64 11.18 35.81 1,995.0 355.32.360 84.93 11.27 36.33 2,010.4 350.02.370 85.22 11.35 36.86 2,025.8 344.62.380 85.51 11.44 37.39 2,041.1 339.22.390 85.79 11.52 37.94 2,056.5 333.82.400 86.07 11.61 38.49 2,071.9 328.42.410 86.35 11.70 39.05 2,087.4 323.02.420 86.63 11.78 39.62 2,102.8 317.52.430 86.91 11.87 40.20 2,118.2 312.12.440 87.18 11.96 40.78 2,133.6 306.72.450 87.45 12.04 41.38 2,149.1 301.22.460 87.72 12.13 41.98 2,164.5 295.82.470 87.99 12.22 42.60 2,180.0 290.32.480 88.26 12.30 43.22 2,195.4 284.82.490 88.53 12.39 43.86 2,210.9 279.42.500 88.79 12.48 44.50 2,226.4 273.9

P A G E 1 6 V E R S I O N 1 0 – 0 5 / 1 5


S E C T I O N A 2

C A B O T

Table 6 Field unit mixing table for cesium formate brine using 18.36 lb/gal cesium formate stock brine, more concentrated 19.20 lb/gal cesium formate stock brine, and cesium formate powder with moisture content of 0.3%.

FIELD

Density CsFo conc. CsFo conc. CsFo conc.Quantities for 1 bbl from 18.36 lb/gal stock brine



Brine Water Brine Water Powder Water [lb/gal] [wt%] [mol/L] [mol%] [bbl] [bbl] [bbl] [bbl] [lb] [bbl]

8.34 0.00 0.00 0.00 0.000 1.000 0.000 1.000 0.000 1.0008.40 1.03 0.06 0.11 0.006 0.995 0.005 0.995 3.637 0.9978.50 2.65 0.15 0.28 0.015 0.986 0.014 0.987 9.500 0.9928.60 4.24 0.25 0.45 0.025 0.977 0.023 0.979 15.372 0.9888.70 5.80 0.34 0.62 0.034 0.968 0.032 0.971 21.255 0.9838.80 7.32 0.43 0.79 0.044 0.959 0.040 0.963 27.146 0.9788.90 8.81 0.53 0.97 0.053 0.950 0.049 0.954 33.047 0.9739.00 10.28 0.62 1.15 0.063 0.941 0.058 0.946 38.956 0.9689.10 11.71 0.72 1.32 0.073 0.932 0.067 0.938 44.875 0.9639.20 13.11 0.81 1.50 0.082 0.923 0.076 0.930 50.802 0.9589.30 14.48 0.91 1.69 0.092 0.913 0.084 0.921 56.738 0.9539.40 15.83 1.00 1.87 0.101 0.904 0.093 0.913 62.681 0.9489.50 17.15 1.10 2.05 0.111 0.895 0.102 0.904 68.633 0.9439.60 18.44 1.19 2.24 0.121 0.886 0.111 0.896 74.593 0.9389.70 19.72 1.29 2.43 0.130 0.877 0.120 0.888 80.561 0.9339.80 20.96 1.38 2.62 0.140 0.867 0.129 0.879 86.536 0.9289.90 22.18 1.48 2.81 0.150 0.858 0.138 0.871 92.519 0.923

10.00 23.38 1.57 3.00 0.159 0.849 0.146 0.862 98.509 0.91810.10 24.56 1.67 3.19 0.169 0.839 0.155 0.854 104.507 0.91310.20 25.72 1.77 3.39 0.179 0.830 0.164 0.845 110.512 0.90810.30 26.85 1.86 3.58 0.188 0.821 0.173 0.836 116.523 0.90310.40 27.97 1.96 3.78 0.198 0.811 0.182 0.828 122.542 0.89710.50 29.07 2.06 3.98 0.208 0.802 0.191 0.819 128.568 0.89210.60 30.14 2.15 4.19 0.218 0.792 0.200 0.810 134.600 0.88710.70 31.20 2.25 4.39 0.227 0.783 0.209 0.802 140.639 0.88210.80 32.24 2.35 4.60 0.237 0.773 0.218 0.793 146.684 0.87610.90 33.26 2.44 4.80 0.247 0.764 0.227 0.784 152.736 0.87111.00 34.27 2.54 5.01 0.257 0.754 0.236 0.776 158.794 0.86611.10 35.26 2.64 5.23 0.267 0.744 0.245 0.767 164.859 0.86111.20 36.23 2.73 5.44 0.276 0.735 0.254 0.758 170.929 0.85511.30 37.18 2.83 5.65 0.286 0.725 0.263 0.749 177.006 0.85011.40 38.12 2.93 5.87 0.296 0.715 0.272 0.740 183.089 0.84411.50 39.05 3.02 6.09 0.306 0.706 0.281 0.731 189.178 0.83911.60 39.96 3.12 6.31 0.316 0.696 0.290 0.723 195.272 0.83411.70 40.86 3.22 6.54 0.326 0.686 0.299 0.714 201.373 0.82811.80 41.74 3.32 6.76 0.335 0.677 0.309 0.705 207.479 0.82311.90 42.61 3.41 6.99 0.345 0.667 0.318 0.696 213.591 0.81712.00 43.46 3.51 7.22 0.355 0.657 0.327 0.687 219.708 0.81212.10 44.30 3.61 7.45 0.365 0.647 0.336 0.678 225.831 0.80612.20 45.13 3.71 7.69 0.375 0.637 0.345 0.669 231.959 0.80112.30 45.95 3.81 7.93 0.385 0.628 0.354 0.660 238.093 0.79512.40 46.75 3.90 8.17 0.395 0.618 0.363 0.651 244.232 0.79012.50 47.55 4.00 8.41 0.405 0.608 0.372 0.642 250.377 0.78412.60 48.33 4.10 8.65 0.415 0.598 0.381 0.633 256.527 0.77912.70 49.10 4.20 8.90 0.425 0.588 0.391 0.624 262.682 0.77312.80 49.86 4.30 9.15 0.435 0.578 0.400 0.615 268.842 0.76812.90 50.61 4.40 9.40 0.445 0.568 0.409 0.605 275.007 0.76213.00 51.34 4.50 9.65 0.455 0.558 0.418 0.596 281.178 0.75613.10 52.07 4.59 9.91 0.465 0.548 0.427 0.587 287.353 0.75113.20 52.79 4.69 10.17 0.475 0.538 0.437 0.578 293.534 0.74513.30 53.49 4.79 10.43 0.485 0.528 0.446 0.569 299.719 0.73913.40 54.19 4.89 10.70 0.495 0.518 0.455 0.560 305.910 0.73413.50 54.88 4.99 10.97 0.505 0.508 0.464 0.550 312.105 0.72813.60 55.56 5.09 11.24 0.515 0.498 0.473 0.541 318.305 0.72213.70 56.23 5.19 11.51 0.525 0.488 0.483 0.532 324.510 0.71613.80 56.89 5.29 11.79 0.535 0.478 0.492 0.523 330.719 0.71113.90 57.54 5.39 12.07 0.545 0.468 0.501 0.513 336.934 0.70514.00 58.18 5.49 12.35 0.555 0.457 0.510 0.504 343.153 0.69914.10 58.82 5.59 12.63 0.565 0.447 0.520 0.495 349.376 0.69314.20 59.45 5.69 12.92 0.575 0.437 0.529 0.485 355.605 0.68814.30 60.07 5.78 13.22 0.585 0.427 0.538 0.476 361.838 0.68214.40 60.68 5.88 13.51 0.595 0.417 0.547 0.467 368.075 0.67614.50 61.28 5.98 13.81 0.605 0.406 0.557 0.457 374.317 0.67014.60 61.88 6.08 14.11 0.615 0.396 0.566 0.448 380.564 0.664



C A B O T

FIELD

Density CsFo conc. CsFo conc. CsFo conc.Quantities for 1 bbl from 18.36 lb/gal stock brine



Brine Water Brine Water Powder Water [lb/gal] [wt%] [mol/L] [mol%] [bbl] [bbl] [bbl] [bbl] [lb] [bbl]

14.70 62.46 6.18 14.42 0.625 0.386 0.575 0.438 386.815 0.65914.80 63.05 6.28 14.73 0.636 0.376 0.585 0.429 393.070 0.65314.90 63.62 6.38 15.04 0.646 0.365 0.594 0.420 399.330 0.64715.00 64.19 6.48 15.36 0.656 0.355 0.603 0.410 405.595 0.64115.10 64.75 6.58 15.68 0.666 0.345 0.613 0.401 411.863 0.63515.20 65.30 6.68 16.01 0.676 0.334 0.622 0.391 418.136 0.62915.30 65.85 6.79 16.33 0.686 0.324 0.631 0.382 424.414 0.62315.40 66.39 6.89 16.67 0.696 0.314 0.641 0.372 430.695 0.61715.50 66.92 6.99 17.00 0.707 0.303 0.650 0.363 436.982 0.61115.60 67.45 7.09 17.34 0.717 0.293 0.659 0.353 443.272 0.60515.70 67.97 7.19 17.69 0.727 0.282 0.669 0.343 449.566 0.59915.80 68.49 7.29 18.04 0.737 0.272 0.678 0.334 455.865 0.59315.90 69.00 7.39 18.39 0.747 0.262 0.687 0.324 462.168 0.58716.00 69.50 7.49 18.75 0.757 0.251 0.697 0.315 468.475 0.58116.10 70.00 7.59 19.11 0.768 0.241 0.706 0.305 474.787 0.57516.20 70.50 7.69 19.48 0.778 0.230 0.715 0.295 481.102 0.56916.30 70.98 7.79 19.85 0.788 0.220 0.725 0.286 487.422 0.56316.40 71.47 7.89 20.23 0.798 0.209 0.734 0.276 493.746 0.55716.50 71.94 7.99 20.61 0.809 0.199 0.744 0.266 500.074 0.55116.60 72.42 8.10 21.00 0.819 0.188 0.753 0.257 506.406 0.54516.70 72.88 8.20 21.39 0.829 0.177 0.763 0.247 512.742 0.53916.80 73.35 8.30 21.79 0.839 0.167 0.772 0.237 519.082 0.53316.90 73.80 8.40 22.19 0.850 0.156 0.781 0.228 525.426 0.52717.00 74.25 8.50 22.60 0.860 0.146 0.791 0.218 531.774 0.52017.10 74.70 8.60 23.02 0.870 0.135 0.800 0.208 538.126 0.51417.20 75.15 8.70 23.44 0.880 0.124 0.810 0.198 544.483 0.50817.30 75.58 8.81 23.86 0.891 0.114 0.819 0.189 550.843 0.50217.40 76.02 8.91 24.30 0.901 0.103 0.829 0.179 557.207 0.49617.50 76.45 9.01 24.74 0.911 0.092 0.838 0.169 563.575 0.49017.60 76.87 9.11 25.18 0.921 0.082 0.848 0.159 569.947 0.48317.70 77.29 9.21 25.63 0.932 0.071 0.857 0.149 576.323 0.47717.80 77.71 9.32 26.09 0.942 0.060 0.867 0.139 582.703 0.47117.90 78.12 9.42 26.55 0.952 0.050 0.876 0.130 589.087 0.46518.00 78.53 9.52 27.03 0.963 0.039 0.886 0.120 595.475 0.45818.10 78.93 9.62 27.51 0.973 0.028 0.895 0.110 601.867 0.45218.20 79.34 9.72 27.99 0.983 0.017 0.905 0.100 608.262 0.44618.30 79.73 9.83 28.49 0.994 0.006 0.914 0.090 614.662 0.44018.36 79.97 9.89 28.78 1.000 0.000 0.920 0.084 618.503 0.43618.40 80.12 9.93 28.99 0.924 0.080 621.065 0.43318.50 80.51 10.03 29.50 0.933 0.070 627.472 0.42718.60 80.90 10.13 30.01 0.943 0.060 633.883 0.42118.70 81.28 10.24 30.54 0.952 0.050 640.298 0.41418.80 81.66 10.34 31.07 0.962 0.040 646.716 0.40818.90 82.03 10.44 31.61 0.971 0.030 653.139 0.40219.00 82.40 10.54 32.17 0.981 0.020 659.565 0.39519.10 82.77 10.65 32.73 0.990 0.010 665.995 0.38919.20 83.14 10.75 33.30 1.000 0.000 672.429 0.38319.30 83.50 10.85 33.88 678.867 0.37619.40 83.86 10.96 34.47 685.308 0.37019.50 84.21 11.06 35.06 691.754 0.36319.60 84.56 11.16 35.67 698.202 0.35719.70 84.91 11.27 36.29 704.655 0.35119.80 94.15 11.34 32.11 711.112 0.34419.90 85.60 11.47 37.57 1,704.326 456.13020.00 85.94 11.58 38.22 1,719.557 450.89420.10 86.27 11.68 38.89 1,734.795 445.65020.20 86.61 11.78 39.57 1,750.041 440.39920.30 86.94 11.89 40.26 1,765.295 435.14020.40 87.26 11.99 40.96 1,780.556 429.87420.50 87.59 12.09 41.68 1,795.825 424.60020.60 87.91 12.20 42.41 1,811.102 419.31820.70 88.23 12.30 43.15 1,826.386 414.02820.80 88.55 12.40 43.91 1,841.677 408.731

Table 6 continued

P A G E 1 8 V E R S I O N 1 0 – 0 5 / 1 5


S E C T I O N A 2

C A B O T

Table 7 Metric blending table for a standard potassium / cesium formate blend composed of 1.57 g/cm3 potassium formate brine and 2.20 g/cm3 cesium formate brine.

METRIC

Density KFo brine CsFo brine KFo CsFo H2O K+ Cs+ HCOO- Quantities for

1 m3 brineKFo CsFo

[g/cm3] [wt%] [wt%] [wt%] [wt%] [wt%] [mol/L] [mol/L] [mol/L] [liter] [liter]1.57 100.00 0.00 75.0 0.0 25.0 14.0 0.0 14.0 1,000.0 0.01.58 97.79 2.21 73.4 1.8 24.9 13.8 0.2 13.9 984.1 15.91.59 95.61 4.39 71.7 3.5 24.8 13.6 0.3 13.9 968.3 31.71.60 93.45 6.55 70.1 5.2 24.7 13.3 0.5 13.8 952.4 47.61.61 91.32 8.68 68.5 6.9 24.6 13.1 0.6 13.7 936.5 63.51.62 89.22 10.78 66.9 8.6 24.5 12.9 0.8 13.7 920.6 79.41.63 87.15 12.85 65.4 10.3 24.3 12.7 0.9 13.6 904.8 95.21.64 85.09 14.91 63.8 11.9 24.2 12.4 1.1 13.5 888.9 111.11.65 83.07 16.93 62.3 13.5 24.1 12.2 1.3 13.5 873.0 127.01.66 81.07 18.93 60.8 15.1 24.0 12.0 1.4 13.4 857.1 142.91.67 79.09 20.91 59.3 16.7 24.0 11.8 1.6 13.3 841.3 158.71.68 77.14 22.86 57.9 18.3 23.9 11.6 1.7 13.3 825.4 174.61.69 75.20 24.80 56.4 19.8 23.8 11.3 1.9 13.2 809.5 190.51.70 73.30 26.70 55.0 21.3 23.7 11.1 2.0 13.2 793.7 206.31.71 71.41 28.59 53.6 22.9 23.6 10.9 2.2 13.1 777.8 222.21.72 69.55 30.45 52.2 24.3 23.5 10.7 2.4 13.0 761.9 238.11.73 67.70 32.30 50.8 25.8 23.4 10.4 2.5 13.0 746.0 254.01.74 65.88 34.12 49.4 27.3 23.3 10.2 2.7 12.9 730.2 269.81.75 64.08 35.92 48.1 28.7 23.2 10.0 2.8 12.8 714.3 285.71.76 62.30 37.70 46.7 30.1 23.1 9.8 3.0 12.8 698.4 301.61.77 60.54 39.46 45.4 31.5 23.0 9.6 3.1 12.7 682.5 317.51.78 58.80 41.20 44.1 32.9 23.0 9.3 3.3 12.6 666.7 333.31.79 57.08 42.92 42.8 34.3 22.9 9.1 3.5 12.6 650.8 349.21.80 55.38 44.62 41.5 35.7 22.8 8.9 3.6 12.5 634.9 365.11.81 53.70 46.30 40.3 37.0 22.7 8.7 3.8 12.4 619.0 381.01.82 52.03 47.97 39.0 38.4 22.6 8.4 3.9 12.4 603.2 396.81.83 50.39 49.61 37.8 39.7 22.5 8.2 4.1 12.3 587.3 412.71.84 48.76 51.24 36.6 41.0 22.5 8.0 4.2 12.2 571.4 428.61.85 47.15 52.85 35.4 42.3 22.4 7.8 4.4 12.2 555.6 444.41.86 45.55 54.45 34.2 43.5 22.3 7.6 4.6 12.1 539.7 460.31.87 43.98 56.02 33.0 44.8 22.2 7.3 4.7 12.0 523.8 476.21.88 42.42 57.58 31.8 46.0 22.1 7.1 4.9 12.0 507.9 492.11.89 40.88 59.12 30.7 47.3 22.1 6.9 5.0 11.9 492.1 507.91.90 39.35 60.65 29.5 48.5 22.0 6.7 5.2 11.8 476.2 523.81.91 37.84 62.16 28.4 49.7 21.9 6.4 5.3 11.8 460.3 539.71.92 36.34 63.66 27.3 50.9 21.8 6.2 5.5 11.7 444.4 555.61.93 34.86 65.14 26.2 52.1 21.8 6.0 5.6 11.6 428.6 571.41.94 33.40 66.60 25.1 53.2 21.7 5.8 5.8 11.6 412.7 587.31.95 31.95 68.05 24.0 54.4 21.6 5.6 6.0 11.5 396.8 603.21.96 30.52 69.48 22.9 55.6 21.6 5.3 6.1 11.5 381.0 619.01.97 29.10 70.90 21.8 56.7 21.5 5.1 6.3 11.4 365.1 634.91.98 27.69 72.31 20.8 57.8 21.4 4.9 6.4 11.3 349.2 650.81.99 26.30 73.70 19.7 58.9 21.3 4.7 6.6 11.3 333.3 666.72.00 24.92 75.08 18.7 60.0 21.3 4.4 6.7 11.2 317.5 682.52.01 23.56 76.44 17.7 61.1 21.2 4.2 6.9 11.1 301.6 698.42.02 22.21 77.79 16.7 62.2 21.1 4.0 7.1 11.1 285.7 714.32.03 20.87 79.13 15.7 63.3 21.1 3.8 7.2 11.0 269.8 730.22.04 19.55 80.45 14.7 64.3 21.0 3.6 7.4 10.9 254.0 746.02.05 18.23 81.77 13.7 65.4 20.9 3.3 7.5 10.9 238.1 761.92.06 16.94 83.06 12.7 66.4 20.9 3.1 7.7 10.8 222.2 777.82.07 15.65 84.35 11.7 67.4 20.8 2.9 7.8 10.7 206.3 793.72.08 14.38 85.62 10.8 68.5 20.8 2.7 8.0 10.7 190.5 809.52.09 13.12 86.88 9.8 69.5 20.7 2.4 8.2 10.6 174.6 825.42.10 11.87 88.13 8.9 70.5 20.6 2.2 8.3 10.5 158.7 841.32.11 10.63 89.37 8.0 71.5 20.6 2.0 8.5 10.5 142.9 857.12.12 9.40 90.60 7.1 72.4 20.5 1.8 8.6 10.4 127.0 873.02.13 8.19 91.81 6.1 73.4 20.5 1.6 8.8 10.3 111.1 888.92.14 6.99 93.01 5.2 74.4 20.4 1.3 8.9 10.3 95.2 904.82.15 5.80 94.20 4.3 75.3 20.3 1.1 9.1 10.2 79.4 920.62.16 4.61 95.39 3.5 76.3 20.3 0.9 9.3 10.1 63.5 936.52.17 3.45 96.55 2.6 77.2 20.2 0.7 9.4 10.1 47.6 952.42.18 2.29 97.71 1.7 78.1 20.2 0.4 9.6 10.0 31.7 968.32.19 1.14 98.86 0.9 79.0 20.1 0.2 9.7 10.0 15.9 984.12.20 0.00 100.00 0.0 80.0 20.0 0.0 9.9 9.9 0.0 1,000.0



C A B O T

Table 8 Field unit blending table for a standard potassium / cesium formate blend composed of 13.10 lb/gal potassium formate brine and 18.36 lb/gal cesium formate brine.

FIELD

Density KFo brine CsFo brine KFo CsFo H2O K+ Cs+ HCOO- Quantities for 1 bbl

brineKFo CsFo

[lb/gal] [wt%] [wt%] [wt%] [wt%] [wt%] [mol/L] [mol/L] [mol/L] [bbl] [bbl]13.10 100.0 0.0 75.0 0.0 25.0 14.0 0.0 14.0 1.000 0.00013.20 97.4 2.6 73.0 2.1 24.9 13.7 0.2 13.9 0.981 0.01913.30 94.8 5.2 71.1 4.2 24.7 13.5 0.4 13.8 0.962 0.03813.40 92.2 7.8 69.1 6.2 24.6 13.2 0.6 13.8 0.943 0.05713.50 89.7 10.3 67.2 8.3 24.5 12.9 0.8 13.7 0.924 0.07613.60 87.2 12.8 65.4 10.3 24.4 12.7 0.9 13.6 0.905 0.09513.70 84.7 15.3 63.5 12.2 24.3 12.4 1.1 13.5 0.886 0.11413.80 82.3 17.7 61.7 14.2 24.1 12.1 1.3 13.4 0.867 0.13313.90 79.9 20.1 59.9 16.1 24.0 11.9 1.5 13.4 0.848 0.15214.00 77.6 22.4 58.2 17.9 23.9 11.6 1.7 13.3 0.829 0.17114.10 75.2 24.8 56.4 19.8 23.8 11.3 1.9 13.2 0.810 0.19014.20 73.0 27.0 54.7 21.6 23.7 11.1 2.1 13.1 0.791 0.20914.30 70.7 29.3 53.0 23.4 23.6 10.8 2.3 13.1 0.772 0.22814.40 68.5 31.5 51.4 25.2 23.4 10.5 2.4 13.0 0.753 0.24714.50 66.3 33.7 49.7 26.9 23.3 10.3 2.6 12.9 0.734 0.26614.60 64.1 35.9 48.1 28.7 23.2 10.0 2.8 12.8 0.715 0.28514.70 62.0 38.0 46.5 30.4 23.1 9.7 3.0 12.7 0.696 0.30414.80 59.9 40.1 44.9 32.1 23.0 9.5 3.2 12.7 0.677 0.32314.90 57.8 42.2 43.4 33.7 22.9 9.2 3.4 12.6 0.658 0.34215.00 55.8 44.2 41.8 35.3 22.8 8.9 3.6 12.5 0.639 0.36115.10 53.8 46.2 40.3 37.0 22.7 8.7 3.8 12.4 0.620 0.38015.20 51.8 48.2 38.8 38.6 22.6 8.4 3.9 12.4 0.601 0.39915.30 49.8 50.2 37.4 40.1 22.5 8.1 4.1 12.3 0.582 0.41815.40 47.9 52.1 35.9 41.7 22.4 7.9 4.3 12.2 0.563 0.43715.50 46.0 54.0 34.5 43.2 22.3 7.6 4.5 12.1 0.544 0.45615.60 44.1 55.9 33.0 44.7 22.2 7.3 4.7 12.0 0.525 0.47515.70 42.2 57.8 31.6 46.2 22.1 7.1 4.9 12.0 0.506 0.49415.80 40.4 59.6 30.3 47.7 22.1 6.8 5.1 11.9 0.487 0.51315.90 38.5 61.5 28.9 49.1 22.0 6.5 5.3 11.8 0.468 0.53216.00 36.7 63.3 27.5 50.6 21.9 6.3 5.5 11.7 0.449 0.55116.10 35.0 65.0 26.2 52.0 21.8 6.0 5.6 11.7 0.430 0.57016.20 33.2 66.8 24.9 53.4 21.7 5.7 5.8 11.6 0.411 0.58916.30 31.5 68.5 23.6 54.8 21.6 5.5 6.0 11.5 0.392 0.60816.40 29.8 70.2 22.3 56.2 21.5 5.2 6.2 11.4 0.373 0.62716.50 28.1 71.9 21.1 57.5 21.4 4.9 6.4 11.3 0.354 0.64616.60 26.4 73.6 19.8 58.8 21.4 4.7 6.6 11.3 0.335 0.66516.70 24.8 75.2 18.6 60.2 21.3 4.4 6.8 11.2 0.316 0.68416.80 23.1 76.9 17.3 61.5 21.2 4.2 7.0 11.1 0.297 0.70316.90 21.5 78.5 16.1 62.7 21.1 3.9 7.1 11.0 0.278 0.72217.00 19.9 80.1 14.9 64.0 21.0 3.6 7.3 10.9 0.259 0.74117.10 18.4 81.6 13.8 65.3 21.0 3.4 7.5 10.9 0.240 0.76017.20 16.8 83.2 12.6 66.5 20.9 3.1 7.7 10.8 0.221 0.77917.30 15.3 84.7 11.4 67.8 20.8 2.8 7.9 10.7 0.202 0.79817.40 13.7 86.3 10.3 69.0 20.7 2.6 8.1 10.6 0.183 0.81717.50 12.2 87.8 9.2 70.2 20.7 2.3 8.3 10.6 0.163 0.83717.60 10.8 89.2 8.1 71.4 20.6 2.0 8.5 10.5 0.144 0.85617.70 9.3 90.7 7.0 72.5 20.5 1.8 8.6 10.4 0.125 0.87517.80 7.8 92.2 5.9 73.7 20.4 1.5 8.8 10.3 0.106 0.89417.90 6.4 93.6 4.8 74.8 20.4 1.2 9.0 10.2 0.087 0.91318.00 5.0 95.0 3.7 76.0 20.3 1.0 9.2 10.2 0.068 0.93218.10 3.6 96.4 2.7 77.1 20.2 0.7 9.4 10.1 0.049 0.95118.20 2.2 97.8 1.6 78.2 20.2 0.4 9.6 10.0 0.030 0.97018.30 0.8 99.2 0.6 79.3 20.1 0.2 9.8 9.9 0.011 0.98918.36 0.0 100.0 0.0 80.0 20.0 0.0 9.9 9.9 0.000 1.000

P A G E 2 0 V E R S I O N 1 0 – 0 5 / 1 5


S E C T I O N A 2

C A B O T

Table 9 Density as a function of temperature and pressure for 1.101 g/cm3 / 9.188 lb/gal potassium formate brine.

METRICDensity [g/cm3]

0°C 25°C 50°C 75°C 100°C 125°C 150°C 175°C 200°C 225°C 250°C

100 bar 1.110 1.100 1.087 1.073 1.058 1.042 1.024 1.004 0.983 0.961 0.938200 bar 1.114 1.103 1.091 1.078 1.063 1.046 1.028 1.009 0.988 0.966 0.943300 bar 1.118 1.107 1.095 1.082 1.067 1.051 1.033 1.014 0.993 0.971 0.948400 bar 1.121 1.111 1.099 1.086 1.071 1.055 1.037 1.018 0.998 0.976 0.953500 bar 1.125 1.114 1.103 1.089 1.075 1.059 1.042 1.023 1.003 0.981 0.958600 bar 1.128 1.118 1.106 1.093 1.079 1.063 1.046 1.027 1.007 0.986 0.963700 bar 1.131 1.121 1.110 1.097 1.083 1.067 1.050 1.032 1.012 0.990 0.967800 bar 1.134 1.125 1.113 1.101 1.087 1.071 1.054 1.036 1.016 0.995 0.972900 bar 1.138 1.128 1.117 1.104 1.090 1.075 1.058 1.040 1.020 0.999 0.977

1,000 bar 1.141 1.131 1.120 1.108 1.094 1.079 1.062 1.044 1.025 1.004 0.9811,100 bar 1.144 1.134 1.123 1.111 1.098 1.082 1.066 1.048 1.029 1.008 0.9861,200 bar 1.146 1.137 1.127 1.115 1.101 1.086 1.070 1.052 1.033 1.012 0.9901,300 bar 1.149 1.140 1.130 1.118 1.104 1.090 1.074 1.056 1.037 1.016 0.9951,400 bar 1.152 1.143 1.133 1.121 1.108 1.093 1.077 1.060 1.041 1.021 0.9991,500 bar 1.155 1.146 1.136 1.124 1.111 1.097 1.081 1.063 1.045 1.025 1.0031,600 bar 1.157 1.149 1.139 1.127 1.114 1.100 1.084 1.067 1.049 1.029 1.0071,700 bar 1.160 1.151 1.141 1.130 1.117 1.103 1.088 1.071 1.052 1.032 1.0111,800 bar 1.162 1.154 1.144 1.133 1.120 1.106 1.091 1.074 1.056 1.036 1.0151,900 bar 1.164 1.156 1.147 1.136 1.123 1.109 1.094 1.078 1.059 1.040 1.0192,000 bar 1.167 1.159 1.149 1.138 1.126 1.112 1.097 1.081 1.063 1.043 1.0232,100 bar 1.169 1.161 1.152 1.141 1.129 1.115 1.100 1.084 1.066 1.047 1.026

MIXDensity [g/cm3]

0°C 25°C 50°C 75°C 100°C 125°C 150°C 175°C 200°C 225°C 250°C

1,000 psia 1.109 1.098 1.086 1.072 1.057 1.040 1.022 1.003 0.982 0.960 0.9362,000 psia 1.112 1.101 1.089 1.075 1.060 1.043 1.025 1.006 0.985 0.963 0.9403,000 psia 1.114 1.104 1.091 1.078 1.063 1.046 1.029 1.009 0.989 0.967 0.9434,000 psia 1.117 1.106 1.094 1.081 1.066 1.049 1.032 1.013 0.992 0.970 0.9475,000 psia 1.119 1.109 1.097 1.083 1.069 1.052 1.035 1.016 0.995 0.973 0.9506,000 psia 1.122 1.111 1.099 1.086 1.071 1.055 1.038 1.019 0.999 0.977 0.9547,000 psia 1.124 1.114 1.102 1.089 1.074 1.058 1.041 1.022 1.002 0.980 0.9578,000 psia 1.126 1.116 1.105 1.091 1.077 1.061 1.044 1.025 1.005 0.983 0.9609,000 psia 1.129 1.119 1.107 1.094 1.080 1.064 1.047 1.028 1.008 0.987 0.964

10,000 psia 1.131 1.121 1.109 1.097 1.082 1.067 1.050 1.031 1.011 0.990 0.96711,000 psia 1.133 1.123 1.112 1.099 1.085 1.069 1.052 1.034 1.014 0.993 0.97012,000 psia 1.135 1.126 1.114 1.102 1.088 1.072 1.055 1.037 1.017 0.996 0.97313,000 psia 1.137 1.128 1.117 1.104 1.090 1.075 1.058 1.040 1.020 0.999 0.97714,000 psia 1.140 1.130 1.119 1.107 1.093 1.077 1.061 1.043 1.023 1.002 0.98015,000 psia 1.142 1.132 1.121 1.109 1.095 1.080 1.063 1.045 1.026 1.005 0.98316,000 psia 1.144 1.134 1.124 1.111 1.098 1.083 1.066 1.048 1.029 1.008 0.98617,000 psia 1.146 1.136 1.126 1.114 1.100 1.085 1.069 1.051 1.032 1.011 0.98918,000 psia 1.148 1.138 1.128 1.116 1.102 1.088 1.071 1.054 1.035 1.014 0.99219,000 psia 1.150 1.141 1.130 1.118 1.105 1.090 1.074 1.056 1.037 1.017 0.99520,000 psia 1.151 1.143 1.132 1.120 1.107 1.092 1.076 1.059 1.040 1.020 0.99821,000 psia 1.153 1.144 1.134 1.122 1.109 1.095 1.079 1.062 1.043 1.023 1.00122,000 psia 1.155 1.146 1.136 1.125 1.112 1.097 1.081 1.064 1.045 1.025 1.00423,000 psia 1.157 1.148 1.138 1.127 1.114 1.099 1.084 1.067 1.048 1.028 1.00724,000 psia 1.159 1.150 1.140 1.129 1.116 1.102 1.086 1.069 1.051 1.031 1.00925,000 psia 1.160 1.152 1.142 1.131 1.118 1.104 1.088 1.071 1.053 1.033 1.01226,000 psia 1.162 1.154 1.144 1.133 1.120 1.106 1.091 1.074 1.056 1.036 1.01527,000 psia 1.164 1.155 1.146 1.135 1.122 1.108 1.093 1.076 1.058 1.038 1.01728,000 psia 1.165 1.157 1.148 1.137 1.124 1.110 1.095 1.079 1.060 1.041 1.02029,000 psia 1.167 1.159 1.149 1.138 1.126 1.112 1.097 1.081 1.063 1.043 1.02330,000 psia 1.168 1.160 1.151 1.140 1.128 1.115 1.100 1.083 1.065 1.046 1.025

FIELDDensity [lb/gal]

40°F 80°F 120°F 160°F 200°F 240°F 280°F 320°F 360°F 400°F 440°F 480°F

1,000 psia 9.24 9.16 9.07 8.97 8.86 8.74 8.61 8.47 8.32 8.16 8.00 7.822,000 psia 9.26 9.18 9.09 8.99 8.88 8.76 8.63 8.49 8.35 8.19 8.02 7.853,000 psia 9.28 9.20 9.11 9.01 8.90 8.79 8.66 8.52 8.37 8.22 8.05 7.884,000 psia 9.30 9.22 9.14 9.04 8.93 8.81 8.68 8.55 8.40 8.25 8.08 7.915,000 psia 9.33 9.25 9.16 9.06 8.95 8.84 8.71 8.57 8.43 8.27 8.11 7.946,000 psia 9.35 9.27 9.18 9.08 8.98 8.86 8.73 8.60 8.45 8.30 8.14 7.977,000 psia 9.37 9.29 9.20 9.10 9.00 8.88 8.76 8.62 8.48 8.33 8.17 7.998,000 psia 9.39 9.31 9.22 9.13 9.02 8.91 8.78 8.65 8.51 8.35 8.19 8.029,000 psia 9.40 9.33 9.24 9.15 9.04 8.93 8.81 8.67 8.53 8.38 8.22 8.05

10,000 psia 9.42 9.35 9.26 9.17 9.07 8.95 8.83 8.70 8.56 8.41 8.25 8.0811,000 psia 9.44 9.37 9.28 9.19 9.09 8.98 8.85 8.72 8.58 8.43 8.27 8.1112,000 psia 9.46 9.39 9.30 9.21 9.11 9.00 8.88 8.75 8.61 8.46 8.30 8.1313,000 psia 9.48 9.41 9.32 9.23 9.13 9.02 8.90 8.77 8.63 8.48 8.33 8.1614,000 psia 9.50 9.42 9.34 9.25 9.15 9.04 8.92 8.79 8.66 8.51 8.35 8.1915,000 psia 9.51 9.44 9.36 9.27 9.17 9.06 8.94 8.82 8.68 8.53 8.38 8.2116,000 psia 9.53 9.46 9.38 9.29 9.19 9.08 8.97 8.84 8.70 8.56 8.40 8.2417,000 psia 9.55 9.48 9.40 9.31 9.21 9.10 8.99 8.86 8.73 8.58 8.43 8.2618,000 psia 9.56 9.50 9.42 9.33 9.23 9.12 9.01 8.88 8.75 8.60 8.45 8.2919,000 psia 9.58 9.51 9.43 9.35 9.25 9.14 9.03 8.90 8.77 8.63 8.47 8.3120,000 psia 9.60 9.53 9.45 9.37 9.27 9.16 9.05 8.93 8.79 8.65 8.50 8.3421,000 psia 9.61 9.55 9.47 9.38 9.29 9.18 9.07 8.95 8.81 8.67 8.52 8.3622,000 psia 9.63 9.56 9.49 9.40 9.31 9.20 9.09 8.97 8.84 8.69 8.54 8.3823,000 psia 9.64 9.58 9.50 9.42 9.32 9.22 9.11 8.99 8.86 8.72 8.57 8.4124,000 psia 9.66 9.59 9.52 9.44 9.34 9.24 9.13 9.01 8.88 8.74 8.59 8.4325,000 psia 9.67 9.61 9.53 9.45 9.36 9.26 9.15 9.03 8.90 8.76 8.61 8.4526,000 psia 9.69 9.62 9.55 9.47 9.38 9.28 9.17 9.05 8.92 8.78 8.63 8.4827,000 psia 9.70 9.64 9.57 9.48 9.39 9.29 9.18 9.07 8.94 8.80 8.65 8.5028,000 psia 9.71 9.65 9.58 9.50 9.41 9.31 9.20 9.09 8.96 8.82 8.68 8.5229,000 psia 9.73 9.66 9.59 9.52 9.43 9.33 9.22 9.10 8.98 8.84 8.70 8.5430,000 psia 9.74 9.68 9.61 9.53 9.44 9.34 9.24 9.12 9.00 8.86 8.72 8.56



C A B O T



0°C 25°C 50°C 75°C 100°C 125°C 150°C 175°C 200°C 225°C 250°C



MIXDensity [g/cm3]

0°C 25°C 50°C 75°C 100°C 125°C 150°C 175°C 200°C 225°C 250°C




40°F 80°F 120°F 160°F 200°F 240°F 280°F 320°F 360°F 400°F 440°F 480°F



P A G E 2 2 V E R S I O N 1 0 – 0 5 / 1 5


S E C T I O N A 2

C A B O T



0°C 25°C 50°C 75°C 100°C 125°C 150°C 175°C 200°C 225°C 250°C



MIXDensity [g/cm3]

0°C 25°C 50°C 75°C 100°C 125°C 150°C 175°C 200°C 225°C 250°C




40°F 80°F 120°F 160°F 200°F 240°F 280°F 320°F 360°F 400°F 440°F 480°F





C A B O T



0°C 25°C 50°C 75°C 100°C 125°C 150°C 175°C 200°C 225°C 250°C



MIXDensity [g/cm3]

0°C 25°C 50°C 75°C 100°C 125°C 150°C 175°C 200°C 225°C 250°C




40°F 80°F 120°F 160°F 200°F 240°F 280°F 320°F 360°F 400°F 440°F 480°F



P A G E 2 4 V E R S I O N 1 0 – 0 5 / 1 5


S E C T I O N A 2

C A B O T



0°C 25°C 50°C 75°C 100°C 125°C 150°C 175°C 200°C 225°C 250°C



MIXDensity [g/cm3]

0°C 25°C 50°C 75°C 100°C 125°C 150°C 175°C 200°C 225°C 250°C




40°F 80°F 120°F 160°F 200°F 240°F 280°F 320°F 360°F 400°F 440°F 480°F





C A B O T

Table 14 Density as a function of temperature and pressure for a 1.880 g/cm3 / 15.689 lb/gal cesium / potassium formate blend.


0°C 25°C 50°C 75°C 100°C 125°C 150°C 175°C 200°C 225°C 250°C



MIXDensity [g/cm3]

0°C 25°C 50°C 75°C 100°C 125°C 150°C 175°C 200°C 225°C 250°C




40°F 80°F 120°F 160°F 200°F 240°F 280°F 320°F 360°F 400°F 440°F 480°F



P A G E 2 6 V E R S I O N 1 0 – 0 5 / 1 5


S E C T I O N A 2

C A B O T

Table 15 Density as a function of temperature and pressure for a 2.100 g/cm3 / 17.525 lb/gal cesium / potassium formate blend.


0°C 25°C 50°C 75°C 100°C 125°C 150°C 175°C 200°C 225°C 250°C



MIXDensity [g/cm3]

0°C 25°C 50°C 75°C 100°C 125°C 150°C 175°C 200°C 225°C 250°C




40°F 80°F 120°F 160°F 200°F 240°F 280°F 320°F 360°F 400°F 440°F 480°F





C A B O T

Table 16 Density as a function of temperature and pressure for 2.286 g/cm3 / 19.078 lb/gal cesium formate brine.


0°C 25°C 50°C 75°C 100°C 125°C 150°C 175°C 200°C 225°C 250°C



MIXDensity [g/cm3]

0°C 25°C 50°C 75°C 100°C 125°C 150°C 175°C 200°C 225°C 250°C




40°F 80°F 120°F 160°F 200°F 240°F 280°F 320°F 360°F 400°F 440°F 480°F



P A G E 2 8 V E R S I O N 1 0 – 0 5 / 1 5


S E C T I O N A 2

C A B O T

Table 17 Compressibility as a function of temperature and pressure for 1.101 g/cm3 / 9.188 lb/gal potassium formate brine.

METRICCompress-

ibility [1/bar]0°C 25°C 50°C 75°C 100°C 125°C 150°C 175°C 200°C 225°C 250°C

100 bar 3.34E-05 3.51E-05 3.69E-05 3.88E-05 4.08E-05 4.29E-05 4.51E-05 4.75E-05 5.00E-05 5.28E-05 5.57E-05200 bar 3.26E-05 3.43E-05 3.60E-05 3.79E-05 3.99E-05 4.19E-05 4.41E-05 4.65E-05 4.90E-05 5.17E-05 5.46E-05300 bar 3.18E-05 3.35E-05 3.52E-05 3.70E-05 3.90E-05 4.10E-05 4.32E-05 4.55E-05 4.80E-05 5.06E-05 5.35E-05400 bar 3.10E-05 3.26E-05 3.44E-05 3.62E-05 3.81E-05 4.01E-05 4.23E-05 4.45E-05 4.70E-05 4.96E-05 5.24E-05500 bar 3.02E-05 3.18E-05 3.35E-05 3.53E-05 3.72E-05 3.92E-05 4.13E-05 4.36E-05 4.60E-05 4.85E-05 5.13E-05600 bar 2.94E-05 3.10E-05 3.27E-05 3.45E-05 3.64E-05 3.83E-05 4.04E-05 4.26E-05 4.50E-05 4.75E-05 5.02E-05700 bar 2.86E-05 3.02E-05 3.19E-05 3.37E-05 3.55E-05 3.75E-05 3.95E-05 4.17E-05 4.40E-05 4.65E-05 4.91E-05800 bar 2.79E-05 2.95E-05 3.11E-05 3.29E-05 3.47E-05 3.66E-05 3.86E-05 4.08E-05 4.30E-05 4.55E-05 4.81E-05900 bar 2.71E-05 2.87E-05 3.03E-05 3.20E-05 3.38E-05 3.57E-05 3.77E-05 3.98E-05 4.21E-05 4.45E-05 4.71E-05

1,000 bar 2.63E-05 2.79E-05 2.95E-05 3.12E-05 3.30E-05 3.49E-05 3.69E-05 3.89E-05 4.12E-05 4.35E-05 4.61E-051,100 bar 2.56E-05 2.71E-05 2.88E-05 3.04E-05 3.22E-05 3.40E-05 3.60E-05 3.80E-05 4.02E-05 4.26E-05 4.51E-051,200 bar 2.49E-05 2.64E-05 2.80E-05 2.96E-05 3.14E-05 3.32E-05 3.51E-05 3.72E-05 3.93E-05 4.16E-05 4.41E-051,300 bar 2.41E-05 2.56E-05 2.72E-05 2.89E-05 3.06E-05 3.24E-05 3.43E-05 3.63E-05 3.84E-05 4.07E-05 4.31E-051,400 bar 2.34E-05 2.49E-05 2.64E-05 2.81E-05 2.98E-05 3.16E-05 3.34E-05 3.54E-05 3.75E-05 3.97E-05 4.21E-051,500 bar 2.26E-05 2.41E-05 2.57E-05 2.73E-05 2.90E-05 3.07E-05 3.26E-05 3.46E-05 3.66E-05 3.88E-05 4.12E-051,600 bar 2.19E-05 2.34E-05 2.49E-05 2.65E-05 2.82E-05 2.99E-05 3.18E-05 3.37E-05 3.57E-05 3.79E-05 4.02E-051,700 bar 2.12E-05 2.27E-05 2.42E-05 2.58E-05 2.74E-05 2.91E-05 3.10E-05 3.29E-05 3.49E-05 3.70E-05 3.93E-051,800 bar 2.05E-05 2.19E-05 2.34E-05 2.50E-05 2.66E-05 2.84E-05 3.01E-05 3.20E-05 3.40E-05 3.61E-05 3.84E-051,900 bar 1.98E-05 2.12E-05 2.27E-05 2.43E-05 2.59E-05 2.76E-05 2.93E-05 3.12E-05 3.32E-05 3.52E-05 3.75E-052,000 bar 1.91E-05 2.05E-05 2.20E-05 2.35E-05 2.51E-05 2.68E-05 2.85E-05 3.04E-05 3.23E-05 3.44E-05 3.66E-052,100 bar 1.84E-05 1.98E-05 2.13E-05 2.28E-05 2.44E-05 2.60E-05 2.78E-05 2.96E-05 3.15E-05 3.35E-05 3.57E-05

MIXCompress-

ibility [1/psi]0°C 25°C 50°C 75°C 100°C 125°C 150°C 175°C 200°C 225°C 250°C

1,000 psia 2.32E-06 2.44E-06 2.56E-06 2.69E-06 2.83E-06 2.98E-06 3.13E-06 3.30E-06 3.47E-06 3.66E-06 3.87E-062,000 psia 2.28E-06 2.40E-06 2.52E-06 2.65E-06 2.79E-06 2.93E-06 3.09E-06 3.25E-06 3.42E-06 3.61E-06 3.81E-063,000 psia 2.24E-06 2.36E-06 2.48E-06 2.61E-06 2.75E-06 2.89E-06 3.04E-06 3.20E-06 3.37E-06 3.56E-06 3.76E-064,000 psia 2.21E-06 2.32E-06 2.44E-06 2.57E-06 2.70E-06 2.84E-06 2.99E-06 3.15E-06 3.33E-06 3.51E-06 3.71E-065,000 psia 2.17E-06 2.28E-06 2.40E-06 2.53E-06 2.66E-06 2.80E-06 2.95E-06 3.11E-06 3.28E-06 3.46E-06 3.65E-066,000 psia 2.13E-06 2.24E-06 2.36E-06 2.49E-06 2.62E-06 2.76E-06 2.91E-06 3.06E-06 3.23E-06 3.41E-06 3.60E-067,000 psia 2.09E-06 2.21E-06 2.32E-06 2.45E-06 2.58E-06 2.72E-06 2.86E-06 3.02E-06 3.18E-06 3.36E-06 3.55E-068,000 psia 2.05E-06 2.17E-06 2.28E-06 2.41E-06 2.54E-06 2.67E-06 2.82E-06 2.97E-06 3.13E-06 3.31E-06 3.50E-069,000 psia 2.02E-06 2.13E-06 2.25E-06 2.37E-06 2.50E-06 2.63E-06 2.77E-06 2.93E-06 3.09E-06 3.26E-06 3.45E-0610,000 psia 1.98E-06 2.09E-06 2.21E-06 2.33E-06 2.46E-06 2.59E-06 2.73E-06 2.88E-06 3.04E-06 3.21E-06 3.40E-0611,000 psia 1.94E-06 2.05E-06 2.17E-06 2.29E-06 2.42E-06 2.55E-06 2.69E-06 2.84E-06 3.00E-06 3.17E-06 3.35E-0612,000 psia 1.91E-06 2.02E-06 2.13E-06 2.25E-06 2.38E-06 2.51E-06 2.65E-06 2.79E-06 2.95E-06 3.12E-06 3.30E-0613,000 psia 1.87E-06 1.98E-06 2.09E-06 2.21E-06 2.34E-06 2.47E-06 2.60E-06 2.75E-06 2.91E-06 3.07E-06 3.25E-0614,000 psia 1.84E-06 1.94E-06 2.06E-06 2.17E-06 2.30E-06 2.43E-06 2.56E-06 2.71E-06 2.86E-06 3.02E-06 3.20E-0615,000 psia 1.80E-06 1.91E-06 2.02E-06 2.13E-06 2.26E-06 2.39E-06 2.52E-06 2.66E-06 2.82E-06 2.98E-06 3.15E-0616,000 psia 1.76E-06 1.87E-06 1.98E-06 2.10E-06 2.22E-06 2.35E-06 2.48E-06 2.62E-06 2.77E-06 2.93E-06 3.10E-0617,000 psia 1.73E-06 1.83E-06 1.94E-06 2.06E-06 2.18E-06 2.31E-06 2.44E-06 2.58E-06 2.73E-06 2.89E-06 3.06E-0618,000 psia 1.69E-06 1.80E-06 1.91E-06 2.02E-06 2.14E-06 2.27E-06 2.40E-06 2.54E-06 2.69E-06 2.84E-06 3.01E-0619,000 psia 1.66E-06 1.76E-06 1.87E-06 1.98E-06 2.10E-06 2.23E-06 2.36E-06 2.50E-06 2.64E-06 2.80E-06 2.96E-0620,000 psia 1.62E-06 1.73E-06 1.83E-06 1.95E-06 2.06E-06 2.19E-06 2.32E-06 2.45E-06 2.60E-06 2.75E-06 2.92E-0621,000 psia 1.59E-06 1.69E-06 1.80E-06 1.91E-06 2.03E-06 2.15E-06 2.28E-06 2.41E-06 2.56E-06 2.71E-06 2.87E-0622,000 psia 1.55E-06 1.66E-06 1.76E-06 1.87E-06 1.99E-06 2.11E-06 2.24E-06 2.37E-06 2.52E-06 2.67E-06 2.83E-0623,000 psia 1.52E-06 1.62E-06 1.73E-06 1.84E-06 1.95E-06 2.07E-06 2.20E-06 2.33E-06 2.47E-06 2.62E-06 2.78E-0624,000 psia 1.48E-06 1.59E-06 1.69E-06 1.80E-06 1.92E-06 2.03E-06 2.16E-06 2.29E-06 2.43E-06 2.58E-06 2.74E-0625,000 psia 1.45E-06 1.55E-06 1.66E-06 1.76E-06 1.88E-06 2.00E-06 2.12E-06 2.25E-06 2.39E-06 2.54E-06 2.69E-0626,000 psia 1.42E-06 1.52E-06 1.62E-06 1.73E-06 1.84E-06 1.96E-06 2.08E-06 2.21E-06 2.35E-06 2.50E-06 2.65E-0627,000 psia 1.38E-06 1.48E-06 1.59E-06 1.69E-06 1.81E-06 1.92E-06 2.04E-06 2.17E-06 2.31E-06 2.45E-06 2.61E-0628,000 psia 1.35E-06 1.45E-06 1.55E-06 1.66E-06 1.77E-06 1.88E-06 2.01E-06 2.13E-06 2.27E-06 2.41E-06 2.56E-0629,000 psia 1.31E-06 1.41E-06 1.52E-06 1.62E-06 1.73E-06 1.85E-06 1.97E-06 2.10E-06 2.23E-06 2.37E-06 2.52E-0630,000 psia 1.28E-06 1.38E-06 1.48E-06 1.59E-06 1.70E-06 1.81E-06 1.93E-06 2.06E-06 2.19E-06 2.33E-06 2.48E-06

FIELDCompress-

ibility [1/psi]40°F 80°F 120°F 160°F 200°F 240°F 280°F 320°F 360°F 400°F 440°F 480°F

1,000 psia 2.34E-06 2.45E-06 2.56E-06 2.67E-06 2.79E-06 2.92E-06 3.05E-06 3.20E-06 3.35E-06 3.51E-06 3.68E-06 3.86E-062,000 psia 2.30E-06 2.41E-06 2.52E-06 2.63E-06 2.75E-06 2.88E-06 3.01E-06 3.15E-06 3.30E-06 3.46E-06 3.62E-06 3.80E-063,000 psia 2.26E-06 2.37E-06 2.48E-06 2.59E-06 2.71E-06 2.83E-06 2.96E-06 3.10E-06 3.25E-06 3.41E-06 3.57E-06 3.75E-064,000 psia 2.23E-06 2.33E-06 2.44E-06 2.55E-06 2.67E-06 2.79E-06 2.92E-06 3.06E-06 3.20E-06 3.36E-06 3.52E-06 3.70E-065,000 psia 2.19E-06 2.29E-06 2.40E-06 2.51E-06 2.62E-06 2.75E-06 2.88E-06 3.01E-06 3.16E-06 3.31E-06 3.47E-06 3.64E-066,000 psia 2.15E-06 2.25E-06 2.36E-06 2.47E-06 2.58E-06 2.70E-06 2.83E-06 2.97E-06 3.11E-06 3.26E-06 3.42E-06 3.59E-067,000 psia 2.11E-06 2.21E-06 2.32E-06 2.43E-06 2.54E-06 2.66E-06 2.79E-06 2.92E-06 3.06E-06 3.21E-06 3.37E-06 3.54E-068,000 psia 2.07E-06 2.17E-06 2.28E-06 2.39E-06 2.50E-06 2.62E-06 2.75E-06 2.88E-06 3.02E-06 3.16E-06 3.32E-06 3.49E-069,000 psia 2.04E-06 2.14E-06 2.24E-06 2.35E-06 2.46E-06 2.58E-06 2.70E-06 2.83E-06 2.97E-06 3.12E-06 3.27E-06 3.44E-0610,000 psia 2.00E-06 2.10E-06 2.20E-06 2.31E-06 2.42E-06 2.54E-06 2.66E-06 2.79E-06 2.93E-06 3.07E-06 3.22E-06 3.39E-0611,000 psia 1.96E-06 2.06E-06 2.16E-06 2.27E-06 2.38E-06 2.50E-06 2.62E-06 2.75E-06 2.88E-06 3.03E-06 3.18E-06 3.34E-0612,000 psia 1.93E-06 2.02E-06 2.13E-06 2.23E-06 2.34E-06 2.46E-06 2.58E-06 2.70E-06 2.84E-06 2.98E-06 3.13E-06 3.29E-0613,000 psia 1.89E-06 1.99E-06 2.09E-06 2.19E-06 2.30E-06 2.42E-06 2.54E-06 2.66E-06 2.79E-06 2.93E-06 3.08E-06 3.24E-0614,000 psia 1.85E-06 1.95E-06 2.05E-06 2.15E-06 2.26E-06 2.38E-06 2.49E-06 2.62E-06 2.75E-06 2.89E-06 3.04E-06 3.19E-0615,000 psia 1.82E-06 1.91E-06 2.01E-06 2.12E-06 2.22E-06 2.34E-06 2.45E-06 2.58E-06 2.71E-06 2.84E-06 2.99E-06 3.14E-0616,000 psia 1.78E-06 1.88E-06 1.98E-06 2.08E-06 2.19E-06 2.30E-06 2.41E-06 2.54E-06 2.66E-06 2.80E-06 2.94E-06 3.10E-0617,000 psia 1.75E-06 1.84E-06 1.94E-06 2.04E-06 2.15E-06 2.26E-06 2.37E-06 2.49E-06 2.62E-06 2.76E-06 2.90E-06 3.05E-0618,000 psia 1.71E-06 1.81E-06 1.90E-06 2.00E-06 2.11E-06 2.22E-06 2.33E-06 2.45E-06 2.58E-06 2.71E-06 2.85E-06 3.00E-0619,000 psia 1.68E-06 1.77E-06 1.87E-06 1.97E-06 2.07E-06 2.18E-06 2.29E-06 2.41E-06 2.54E-06 2.67E-06 2.81E-06 2.96E-0620,000 psia 1.64E-06 1.73E-06 1.83E-06 1.93E-06 2.03E-06 2.14E-06 2.25E-06 2.37E-06 2.50E-06 2.63E-06 2.76E-06 2.91E-0621,000 psia 1.61E-06 1.70E-06 1.79E-06 1.89E-06 2.00E-06 2.10E-06 2.21E-06 2.33E-06 2.45E-06 2.58E-06 2.72E-06 2.87E-0622,000 psia 1.57E-06 1.66E-06 1.76E-06 1.86E-06 1.96E-06 2.06E-06 2.18E-06 2.29E-06 2.41E-06 2.54E-06 2.68E-06 2.82E-0623,000 psia 1.54E-06 1.63E-06 1.72E-06 1.82E-06 1.92E-06 2.03E-06 2.14E-06 2.25E-06 2.37E-06 2.50E-06 2.63E-06 2.78E-0624,000 psia 1.50E-06 1.59E-06 1.69E-06 1.78E-06 1.88E-06 1.99E-06 2.10E-06 2.21E-06 2.33E-06 2.46E-06 2.59E-06 2.73E-0625,000 psia 1.47E-06 1.56E-06 1.65E-06 1.75E-06 1.85E-06 1.95E-06 2.06E-06 2.17E-06 2.29E-06 2.42E-06 2.55E-06 2.69E-0626,000 psia 1.43E-06 1.52E-06 1.62E-06 1.71E-06 1.81E-06 1.91E-06 2.02E-06 2.13E-06 2.25E-06 2.38E-06 2.51E-06 2.64E-0627,000 psia 1.40E-06 1.49E-06 1.58E-06 1.68E-06 1.77E-06 1.88E-06 1.98E-06 2.10E-06 2.21E-06 2.33E-06 2.46E-06 2.60E-0628,000 psia 1.37E-06 1.45E-06 1.55E-06 1.64E-06 1.74E-06 1.84E-06 1.95E-06 2.06E-06 2.17E-06 2.29E-06 2.42E-06 2.56E-0629,000 psia 1.33E-06 1.42E-06 1.51E-06 1.61E-06 1.70E-06 1.80E-06 1.91E-06 2.02E-06 2.13E-06 2.25E-06 2.38E-06 2.51E-0630,000 psia 1.30E-06 1.39E-06 1.48E-06 1.57E-06 1.67E-06 1.77E-06 1.87E-06 1.98E-06 2.09E-06 2.21E-06 2.34E-06 2.47E-06



C A B O T


METRICCompress-

ibility [1/bar] 0°C 25°C 50°C 75°C 100°C 125°C 150°C 175°C 200°C 225°C 250°C



MIXCompress-

ibility [1/psi] 0°C 25°C 50°C 75°C 100°C 125°C 150°C 175°C 200°C 225°C 250°C


FIELDCompress-



P A G E 3 0 V E R S I O N 1 0 – 0 5 / 1 5


S E C T I O N A 2

C A B O T


METRICCompress-




MIXCompress-



FIELDCompress-





C A B O T


METRICCompress-




MIXCompress-



FIELDCompress-

ibility [1/psi] 40°F 80°F 120°F 160°F 200°F 240°F 280°F 320°F 360°F 400°F 440°F 480°F


P A G E 3 2 V E R S I O N 1 0 – 0 5 / 1 5


S E C T I O N A 2

C A B O T


METRICCompress-




MIXCompress-



FIELDCompress-





C A B O T

Table 22 Compressibility as a function of temperature and pressure for a 1.880 g/cm3 / 15.689 lb/gal cesium / potassium formate blend.

METRICCompress-




MIXCompress-



FIELDCompress-



P A G E 3 4 V E R S I O N 1 0 – 0 5 / 1 5


S E C T I O N A 2

C A B O T

Table 23 Compressibility as a function of temperature and pressure for a 2.100 g/cm3 / 17.525 lb/gal cesium / potassium formate blend.

METRICCompress-




MIXCompress-



FIELDCompress-





C A B O T

Table 24 Compressibility as a function of temperature and pressure for 2.286 g/cm3 / 19.078 lb/gal cesium formate brine.

METRICCompress-




MIXCompress-



FIELDCompress-



P A G E 3 6 V E R S I O N 1 0 – 0 5 / 1 5


S E C T I O N A 2

C A B O T

Table 25 Thermal expansion coefficient as a function of temperature and pressure for 1.101 g/cm3 / 9.188 lb/gal potassium formate brine.

METRICThermal

expansion [1/K] 0°C 25°C 50°C 75°C 100°C 125°C 150°C 175°C 200°C 225°C 250°C



MIXThermal



FIELDThermal

expansion [1/F] 40°F 80°F 120°F 160°F 200°F 240°F 280°F 320°F 360°F 400°F 440°F 480°F




C A B O T


METRICThermal




MIXThermal



FIELDThermal



P A G E 3 8 V E R S I O N 1 0 – 0 5 / 1 5


S E C T I O N A 2

C A B O T


METRICThermal




MIXThermal



FIELDThermal





C A B O T


METRICThermal




MIXThermal



FIELDThermal



P A G E 4 0 V E R S I O N 1 0 – 0 5 / 1 5


S E C T I O N A 2

C A B O T


METRICThermal




MIXThermal



FIELDThermal





C A B O T

Table 30 Thermal expansion coefficient as a function of temperature and pressure for a 1.880 g/cm3 / 15.689 lb/gal cesium / potassium formate blend.

METRICThermal




MIXThermal



FIELDThermal



P A G E 4 2 V E R S I O N 1 0 – 0 5 / 1 5


S E C T I O N A 2

C A B O T

Table 31 Thermal expansion coefficient as a function of temperature and pressure for a 2.100 g/cm3 / 17.525 lb/gal cesium / potassium formate blend.

METRICThermal




MIXThermal



FIELDThermal





C A B O T

Table 32 Thermal expansion coefficient as a function of temperature and pressure for 2.286 g/cm3 / 19.078 lb/gal cesium formate brine.

METRICThermal




MIXThermal



FIELDThermal



Documents

SECTION A2 BRINE DENSITY AND PVT DATA