Ballsim Direct

Moly-Cop Tools / 315551747.xls Page 1 04/23/2016 / 23:53:05

Moly-Cop Tools, Version 2.0About the BallSim_Direct Spreadsheet ...

Scope :

The BallSim_Direct spreadsheet was designed to simulate the Size-by-Size Mass Balance around any given Conventional Ball Mill grinding section, of the Direct configuration (see Flowsheet), operating under various conditions, on the basis of well accepted mathematical models for the grinding and hydroclassification processes.

Theoretical Framework :

- The Grinding Model :

For the simulation of the ball mill response, this routine is based on the so called Modern Theory of Comminution. This theory introduced two new sets of parameters : the Selection Function S and the Breakage Function B. The first set – also referred to as Grindability – relates to the grinding kinetics of each independent particle and the second set – also referred to as Distribution of Primary Fragments – characterizes the size distribution of the fragments produced as a result of breakage events.

The Figure below helps define both concepts with greater clarity. Consider that at any given instant t, the size distribution of the mineral charge in a hypothetical batch mill is quantified by the fractions f i (i = 1, n) retained on the n different screens

represented on the left of such Figure. After a time interval t, the resulting size distribution is represented on the right of the same Figure. During this time interval, some particles will be fractured and their fragments redistributed to the lower screens. For the particles retained on mesh ‘i+1’ (the ‘i’ fraction), the Selection Function S

i (min-1) denotes the fractional

breakage velocity; that is, the fraction of the particles in the size range [di+1

, di] which are fractured, per unit of time.

Therefore, the product (Sit) represents the fraction of the material retained on mesh ‘i+1’, at time t, that will be fractured

by the action of the grinding media, during the following time period t. Complementarily, the Breakage Function bij

denotes the fraction, by weight, of the fragments arising from the breakage of the particles retained on mesh ‘j+1’ to be retained on the lower ‘i+1’ mesh.

(1-S1t) f1

S1t f1b21S1t f1

bi1S1t f1

bn1S1t f1

(1-S2t) f2

S2t f2

bi2S2t f2

bn2S2t f2

t = t

f1

f2

fi

fn

2

3

i + 1

n + 1

•

t = t + t

2

3

i + 1

n + 1

••

•••

•••

•••

(1-S1t) f1

S1t f1b21S1t f1

bi1S1t f1

bn1S1t f1

(1-S2t) f2

S2t f2

bi2S2t f2

bn2S2t f2

t = t

f1

f2

fi

fn

2

3

i + 1

n + 1

•

t = t + t

2

3

i + 1

n + 1

••

••••••

•••

•••


Scope :

The BallSim_Direct spreadsheet was designed to simulate the Size-by-Size Mass Balance around any given Conventional Ball Mill grinding section, of the Direct configuration (see Flowsheet), operating under various conditions, on the basis of well accepted mathematical models for the grinding and hydroclassification processes.

Theoretical Framework :

- The Grinding Model :

For the simulation of the ball mill response, this routine is based on the so called Modern Theory of Comminution. This theory introduced two new sets of parameters : the Selection Function S and the Breakage Function B. The first set – also referred to as Grindability – relates to the grinding kinetics of each independent particle and the second set – also referred to as Distribution of Primary Fragments – characterizes the size distribution of the fragments produced as a result of breakage events.

The Figure below helps define both concepts with greater clarity. Consider that at any given instant t, the size distribution of the mineral charge in a hypothetical batch mill is quantified by the fractions f

i (i = 1, n) retained on the n different screens

represented on the left of such Figure. After a time interval t, the resulting size distribution is represented on the right of the same Figure. During this time interval, some particles will be fractured and their fragments redistributed to the lower screens. For the particles retained on mesh ‘i+1’ (the ‘i’ fraction), the Selection Function S

i (min-1) denotes the fractional

breakage velocity; that is, the fraction of the particles in the size range [di+1

, di] which are fractured, per unit of time.

Therefore, the product (Sit) represents the fraction of the material retained on mesh ‘i+1’, at time t, that will be fractured

by the action of the grinding media, during the following time period t. Complementarily, the Breakage Function bij

denotes the fraction, by weight, of the fragments arising from the breakage of the particles retained on mesh ‘j+1’ to be retained on the lower ‘i+1’ mesh.


Moly-Cop Tools, Version 2.0About the Ballsim_Direct Spreadsheet ...

It is customary to define mesh ‘1’ as the coarsest opening and ‘n’ as the finest opening. Then, by definition :

i+1

Bij = b

kj (1)

k=n

represents the cumulative fraction of fragments from the breakage of particles retained on mesh ‘j’ that will become finer than mesh ‘i’.

With reference to the Figure above, it is then possible to establish, for each size fraction ‘i’, the following population balance of particles :

[Particles in fraction ‘i’ at time (t+t)] = [Particles in fraction ‘i’ at time t] - [Particles in fraction ‘i’ broken during the time interval t] + [New particles added to fraction ‘i’ as a result of the breakage of particles originally retained in the coarser fractions (j = 1, i-1)]

then, if H represents the total weight of ore in the mill : fi(t+t) H = fi(t) H - Sitfi(t) H + bi1S1tf1(t) H + bi2S2tf2(t) H + … + bi,i-1Si-1tfi-1(t) H ; for i = 1, 2, …, n (2)

Considering the limiting condition when t approaches zero, the expression above reduces to the system of first order differential equations :

1

d(fi)/dt = -S

i f

i + b

ij S

j f

j ; for i = 1, 2, …, n (3)

j = i-1

which constitutes the General Grinding Model, in its differential form.

The analytical solution of this complex system of differential equations is fortunately known, under the restrictive assumption that the parameters S and B are invariant with time; so giving rise to particular solution of the general system denoted ‘Linear Model’, which in its matrix form is expressed as :

f = ( T J T-1 ) f° (4)where :

f = {fi | i = 1, 2, …, n} = vector containing the size distribution of the mill discharge (ground product), f° = {f

i° | i = 1, 2, …, n} = vector containing the size distribution of the mill feed,

T = {Tij | i,j = 1, 2, …, n} = lower triangular matrix of values T

ij recursively defined as :

Tij = 0 ; when i < j

Tij = 1 ; when i = j

i - 1

Tij = ( b

ik S

k T

kj )/( S

i – S

j ) ; when i > j

k = j


It is customary to define mesh ‘1’ as the coarsest opening and ‘n’ as the finest opening. Then, by definition :

i+1

Bij = b

kj (1)

k=n

represents the cumulative fraction of fragments from the breakage of particles retained on mesh ‘j’ that will become finer than mesh ‘i’.

With reference to the Figure above, it is then possible to establish, for each size fraction ‘i’, the following population balance of particles :

[Particles in fraction ‘i’ at time (t+t)] = [Particles in fraction ‘i’ at time t] - [Particles in fraction ‘i’ broken during the time interval t] + [New particles added to fraction ‘i’ as a result of the breakage of particles originally retained in the coarser fractions (j = 1, i-1)]

then, if H represents the total weight of ore in the mill : f

i(t+t) H = f

i(t) H - S

itf

i(t) H + b

i1S

1tf

1(t) H + b

i2S

2tf

2(t) H + … + b

i,i-1S

i-1tf

i-1(t) H ; for i = 1, 2, …, n (2)

Considering the limiting condition when t approaches zero, the expression above reduces to the system of first order differential equations :

1

d(fi)/dt = -S

i f

i + b

ij S

j f

j ; for i = 1, 2, …, n (3)

j = i-1

which constitutes the General Grinding Model, in its differential form.

The analytical solution of this complex system of differential equations is fortunately known, under the restrictive assumption that the parameters S and B are invariant with time; so giving rise to particular solution of the general system denoted ‘Linear Model’, which in its matrix form is expressed as :

f = ( T J T-1 ) f° (4)where :

f = {fi | i = 1, 2, …, n} = vector containing the size distribution of the mill discharge (ground product),

f° = {fi° | i = 1, 2, …, n} = vector containing the size distribution of the mill feed,

T = {Tij | i,j = 1, 2, …, n} = lower triangular matrix of values T

ij recursively defined as :

Tij = 0 ; when i < j

Tij = 1 ; when i = j

i - 1

Tij = ( b

ik S

k T

kj )/( S

i – S

j ) ; when i > j

k = j



J = {Jij | i,j = 1, 2, …, n} = diagonal matrix of values J

ij defined as :

Jij = exp (-Sit) ; when i = j ( batch grinding)

Jij = (1 + S

i/N)-N ; when i = j (continuous grinding)

Jij = 0 ; in all other cases

and where - the average mean residence time - and N are parameters characteristic of the Residence Time Distribution (RTD) of the mineral slurry in the mill, here represented by :

E(t) = [ NN (t/)N-1 / (N) ] exp (-Nt/) (5)

referred to as the ‘N-Mixers in Series Model’ and where the parameter N may be approximated by the effective (Length/Diameter) ratio of the mill.

The grinding model parameters (the Selection and Breakage parameters) are different for different particle sizes. Such dependence is here represented by the following relationships :

- For the Selection Function :

Si =

0 (d

i*)1 / [ 1 + (d

i* / d

crit)2 ] (6)

with : d

i* = (d

i · d

i+1)0.5 = average particle size of the ‘i-th’ fraction.

An expanded form of this expression - also available in this simulation routine - is given by :

Si = [1/(1+

02/

01)] {

01 (d

i*)11 / [ 1 + (d

i* / d

crit)2 ] +

02 (d

i*)12 } (6e)

- For the Breakage Function :

Bij =

0 (d

i/d

j+1)1 + (1-

0) (d

i/d

j+1)2 (7)

An expanded form of this expression - also available in this simulation routine - is obtained by replacing 0 in

Equation 7 by :

0j =

00(d

j+1/1000) -01 , never > 1 (7e)

These expanded forms for Si and Bij are intended to provide the model greater descriptive flexibility when tuning the model to actual specific grinding systems (see Files BallParam_Batch and BallParam_Open) but, since they increment the total number of ore characteristic parameters to be estimated, its use should be avoided whenever possible.

In any case, the proposed expanded forms reduce to the normal forms if 02

and 01

are set equal to zero.

Not considering the expanded forms, the above expressions considerably reduce the number of ore characteristic parameters to a maximum of seven (

0,

1,

2, d

crit,

0,

1 and

2) and simplify the computation of the (n-1) S

i‘s values and

the n(n-1)/2 Bij’s values required for the evaluation of the model.


J = {Jij | i,j = 1, 2, …, n} = diagonal matrix of values J

ij defined as :

Jij = exp (-S

it) ; when i = j ( batch grinding)

Jij = (1 + S

i/N)-N ; when i = j (continuous grinding)

Jij = 0 ; in all other cases

and where - the average mean residence time - and N are parameters characteristic of the Residence Time Distribution (RTD) of the mineral slurry in the mill, here represented by :

E(t) = [ NN (t/)N-1 / (N) ] exp (-Nt/) (5)

referred to as the ‘N-Mixers in Series Model’ and where the parameter N may be approximated by the effective (Length/Diameter) ratio of the mill.

The grinding model parameters (the Selection and Breakage parameters) are different for different particle sizes. Such dependence is here represented by the following relationships :

- For the Selection Function :

Si =

0 (d

i*)1 / [ 1 + (d

i* / d

crit)2 ] (6)

with : di* = (di · di+1)

0.5 = average particle size of the ‘i-th’ fraction.

An expanded form of this expression - also available in this simulation routine - is given by :

Si = [1/(1+

02/

01)] {

01 (d

i*)11 / [ 1 + (d

i* / d

crit)2 ] +

02 (d

i*)12 } (6e)

- For the Breakage Function :

Bij =

0 (d

i/d

j+1)1 + (1-

0) (d

i/d

j+1)2 (7)

An expanded form of this expression - also available in this simulation routine - is obtained by replacing 0 in

Equation 7 by :

0j =

00(d

j+1/1000) -01 , never > 1 (7e)

These expanded forms for Si and B

ij are intended to provide the model greater descriptive flexibility when tuning

the model to actual specific grinding systems (see Files BallParam_Batch and BallParam_Open) but, since they increment the total number of ore characteristic parameters to be estimated, its use should be avoided whenever possible.

In any case, the proposed expanded forms reduce to the normal forms if 02

and 01

are set equal to zero.

Not considering the expanded forms, the above expressions considerably reduce the number of ore characteristic parameters to a maximum of seven (

0,

1,

2, d

crit,

0,

1 and

2) and simplify the computation of the (n-1) S

i‘s values and

the n(n-1)/2 Bij’s values required for the evaluation of the model.



The critical role of the Specific Energy Consumption E (kWh/ton) becomes explicit in the above formulations through a simple change of variables, when introducing the Specific Selection Function parameter as : S

iE

balls = S

i (H/P

balls) ; i = 1, 2, ..., n (8)

and recognizing that (see Equations 2 and 5) :

Eballs

= t (Pballs

/H) (batch grinding)

Eballs

= (Pballs

/H) (continuous grinding) (9)

where Pballs

represents the contribution of the balls to the Net Mill Power Draw (kW) (see Mill Power_Ball Mills), it may be concluded that : S

iE

balls E

balls = S

i t (batch grinding)

or : SiE

balls E

balls = S

i (continuous grinding) (10)

Therefore, it is enough to replace in Equations 4 above the products (Sit) or (S

i) by the product (S

iE

ballsE

balls) to obtain the

equations of the Linear Grinding Model in terms of the Specific Selection Function, SiE

balls.

- The Hydrocyclone Model : (see Files Cyclosim_Single and Cyclobal_Single)

- Simulation of Grinding/Classification Circuits :

The mathematical simulation of the response of grinding/classification circuits, like the one represented here in Flowsheet, requires the proper combination of the unit grinding and classification models. As a result of the circulating load stream, both models can not be solved independently : the feed to the mill is affected by the cyclones discharge stream which depends on the cyclones feed and this cyclones feed is affected by the mill discharge, which in turns depends on the mill feed. Such interdependence condition implies that the system must be solved with the aid of numerical convergence algorithms, starting from an initial guessed value for the Circulating Load ratio (defined as the ratio of the massflowrate of solids in the cyclones discharge stream to the massflowrate of solids in the cyclones overflow stream). For such purposes, the present Ballsim_Direct simulator makes use of the Goal Seek tool available in Microsoft Excel.

Data Input and Program Execution :

The data required by the simulator must be defined in each corresponding unprotected white background cell - inside the red double-lined border - of the here attached Data_File worksheet. Gray background cells contain the results of the corresponding formulas there defined and are protected to avoid any accidental editing.

In addition to the above, the user is requested to provide an initial guess of the Circulating Load ratio in Cell E25. Finally, the system is solved by single clicking on the macro button Iterate, next to Cell E25.

Important Notice : Iterate ... must be clicked every time any element of input data gets to be modified. After clicking ITERATE, Cell E27 must display a zero value; otherwise, the current outputs are not valid.


The critical role of the Specific Energy Consumption E (kWh/ton) becomes explicit in the above formulations through a simple change of variables, when introducing the Specific Selection Function parameter as : S

iE

balls = S

i (H/P

balls) ; i = 1, 2, ..., n (8)

and recognizing that (see Equations 2 and 5) :

Eballs

= t (Pballs

/H) (batch grinding)

Eballs

= (Pballs

/H) (continuous grinding) (9)

where Pballs

represents the contribution of the balls to the Net Mill Power Draw (kW) (see Mill Power_Ball Mills), it may be concluded that : S

iE

balls E

balls = S

i t (batch grinding)

or : SiE

balls E

balls = S

i (continuous grinding) (10)

Therefore, it is enough to replace in Equations 4 above the products (Sit) or (S

i) by the product (S

iE

ballsE

balls) to obtain the

equations of the Linear Grinding Model in terms of the Specific Selection Function, SiE

balls.

- The Hydrocyclone Model : (see Files Cyclosim_Single and Cyclobal_Single)

- Simulation of Grinding/Classification Circuits :

The mathematical simulation of the response of grinding/classification circuits, like the one represented here in Flowsheet, requires the proper combination of the unit grinding and classification models. As a result of the circulating load stream, both models can not be solved independently : the feed to the mill is affected by the cyclones discharge stream which depends on the cyclones feed and this cyclones feed is affected by the mill discharge, which in turns depends on the mill feed. Such interdependence condition implies that the system must be solved with the aid of numerical convergence algorithms, starting from an initial guessed value for the Circulating Load ratio (defined as the ratio of the massflowrate of solids in the cyclones discharge stream to the massflowrate of solids in the cyclones overflow stream). For such purposes, the present Ballsim_Direct simulator makes use of the Goal Seek tool available in Microsoft Excel.

Data Input and Program Execution :

The data required by the simulator must be defined in each corresponding unprotected white background cell - inside the red double-lined border - of the here attached Data_File worksheet. Gray background cells contain the results of the corresponding formulas there defined and are protected to avoid any accidental editing.

In addition to the above, the user is requested to provide an initial guess of the Circulating Load ratio in Cell E25. Finally, the system is solved by single clicking on the macro button Iterate, next to Cell E25.

Important Notice : Iterate ... must be clicked every time any element of input data gets to be modified. After clicking ITERATE, Cell E27 must display a zero value; otherwise, the current outputs are not valid.



Calculation results are presented in the Reports worksheet and graphically summarized in the Flowsheet worksheet.

New Moly-Cop Tools users are invited to explore the brief comments inserted in each relevant cell, rendering the whole utilization of the worksheets self-explanatory. Eventually, the user may wish to remove the view of the comments by selecting Tools / Options / View / Comments / None.


Calculation results are presented in the Reports worksheet and graphically summarized in the Flowsheet worksheet.

New Moly-Cop Tools users are invited to explore the brief comments inserted in each relevant cell, rendering the whole utilization of the worksheets self-explanatory. Eventually, the user may wish to remove the view of the comments by selecting Tools / Options / View / Comments / None.


Circuit Type DIRECT Simulation N° 0

Remarks Base Case Example

Mill Dimensions and Operating Conditions 2141 BallsEff. Diam. Eff. Length Speed Charge Balls App. Dens. Interstitial Lift 0 Overfilling

ft ft % Critical Filling,% Filling,% ton/m3 Slurry, % Angle, (°) 351 Slurry16.0 20.0 76.5 40.00 40.00 5.45 100.0 32.3 2492 Net kW

rpm 14.65 10.0 % Losses2769 Gross kW

Cyclone Dimensions (inches) and Operating ConditionsNumber Diameter Height Inlet Vortex Apex

6 26.0 78.0 6.50 6.00 5.08Suggested Default Values: 78.0 6.5 9.1 4.6

% Solids O'flow 35.0% Solids U'flow 80.4 Main Simulated Outputs% Solids Mill Discharge 76.1 P80 220.9

Wio 17.12Circulating Load 3.065 (Guess) % Fines MD 12.20

3.065 (Actual) Q 11710.000 (Delta) Bpf 0.108

Pressure 4.4Ore Density, ton/m3 2.70 Total Water 524.4Balls Density, ton/m3 7.80

Arbiter's

Feedrate, ton/hr (dry) 285.0 Flow # 2.29Feed Moisture, % 1.7

Feed Size Distributioni Mesh Opening Mid-Size ton/hr % Retained % Passing

1 1.05 25400 100.002 0.742 19050 21997 0.00 0.00 100.003 0.525 12700 15554 19.84 6.96 93.044 0.371 9500 10984 30.30 10.63 82.415 3 6700 7978 43.38 15.22 67.196 4 4750 5641 33.80 11.86 55.337 6 3350 3989 26.45 9.28 46.058 8 2360 2812 29.98 10.52 35.539 10 1700 2003 9.35 3.28 32.25

10 14 1180 1416 14.11 4.95 27.3011 20 850 1001 11.09 3.89 23.4112 28 600 714 9.66 3.39 20.0213 35 425 505 7.13 2.50 17.5214 48 300 357 6.81 2.39 15.1315 65 212 252 5.33 1.87 13.2616 100 150 178 4.19 1.47 11.7917 150 106 126 3.85 1.35 10.4418 200 75 89 3.08 1.08 9.3619 270 53 63 2.96 1.04 8.3220 400 38 45 2.22 0.78 7.5421 -400 0 19 21.49 7.54 0.00

Make-up Ball Size, mm 82.6 3.25 inches

Selection Function Parameters : Expanded Form :alpha0 alpha1 alpha2 dcrit alpha02 alpha12

0.00313 0.750 3.50 6365 0 15.75 <<< 5.73 7.30 >>> 7.27 0 1 Suggested Default Values4.60 <<< 4.60 0.50 >>> 0.504.20 <<< 4.20

^ ^ ^ Defaults ^ ^ ^

Breakage Function Parameters : Expanded Form :beta0 beta1 beta2 beta01

0.309 0.315 4.50 00 Suggested Default Value

Classifier Constants :a1 a2 a3 a4 Bpc

4.807 1.899 8.067 0.062 0.377 0.000 9.932 1.361 52.968 0.441 0.950 0.000 Suggested Default Values

Moly-Cop Tools TM (Version 2.0)BALLSIM : Conventional Closed Circuit Grinding Simulator

(see Flowsheet)

Iterate

Very Important :Simulation results are not valid until the Iterate button has been clicked after any input data changes.

Moly-Cop Tools / 315551747.xls / Flowsheet 04/23/2016 / 23:53:05

Simulation N° 0

Remarks Base Case Example

35.00 % Solids52.77 % - Size 18

psi 4.45 0.000 Bpc 220.9 P80

# of Cyclones 6Vortex 6.00 Circ. Load 3.06

Apex 5.08 0.108 Bpf 11710.286 Bpw

% Solids 80.43

Water,

378.0ton/hr 285.0 Water, 146.4

F80 9030

Gross kW 2769.2kWh/ton 9.72 % Balls 40.00

Wio 17.12 % Critical 76.50% Solids 76.10

% Solids 60.96

Moly-Cop Tools TM (Version 2.0)

m3/hr

m3/hr

m3/hr


Simulation N° 0

BALLSIMConventional Closed Circuit Grinding Simulator

Remarks : Base Case Example

CIRCUIT MASS BALANCEConfiguration : DIRECT

Fresh Mill Mill Sump Cyclone Cyclone Cyclone

Feed Feed Discharge Water Feed U'flow O'flow Ore, ton/hr 285.0 1158.4 1158.4 0.0 1158.4 873.4 285.0 Water, m3/hr 4.9 217.4 363.8 378.0 741.8 212.5 529.3 Slurry, ton/hr 289.9 1375.8 1522.2 378.0 1900.2 1085.9 814.3 Slurry, m3/hr 110.5 646.5 792.8 378.0 1170.8 536.0 634.8 Slurry Dens., ton/m3 2.624 2.128 1.920 1.000 1.623 2.026 1.283 % Solids (by volume) 95.5 66.4 54.1 0.0 36.6 60.4 16.6 % Solids (by weight) 98.30 84.20 76.10 0.00 60.96 80.43 35.00

i Mesh Opening

1 1.05 25400 100.00 100.00 100.00 0.00 100.00 100.00 100.002 0.742 19050 100.00 100.00 100.00 0.00 100.00 100.00 100.003 0.525 12700 93.04 93.70 95.41 0.00 95.41 93.91 100.004 0.371 9500 82.41 87.35 91.67 0.00 91.67 88.96 100.005 3 6700 67.19 80.47 88.54 0.00 88.54 84.80 100.006 4 4750 55.33 75.15 86.13 0.00 86.13 81.61 100.007 6 3350 46.05 70.39 83.66 0.00 83.66 78.33 99.998 8 2360 35.53 64.53 80.39 0.00 80.39 73.99 99.999 10 1700 32.25 59.89 76.56 0.00 76.56 68.91 99.99

10 14 1180 27.30 53.37 71.25 0.00 71.25 61.87 99.9911 20 850 23.41 45.88 64.69 0.00 64.69 53.21 99.9012 28 600 20.02 36.72 56.19 0.00 56.19 42.16 99.1713 35 425 17.52 26.98 46.32 0.00 46.32 30.06 96.1514 48 300 15.13 18.09 36.28 0.00 36.28 19.06 89.0515 65 212 13.26 11.87 28.01 0.00 28.01 11.42 78.8516 100 150 11.79 8.25 22.22 0.00 22.22 7.10 68.5617 150 106 10.44 6.20 18.34 0.00 18.34 4.82 59.7818 200 75 9.36 5.02 15.70 0.00 15.70 3.60 52.7719 270 53 8.32 4.22 13.71 0.00 13.71 2.88 46.8820 400 38 7.54 3.69 12.20 0.00 12.20 2.44 42.11

D80, microns 9030 6507 2285 0 2285 4009 220.9

Specific Energy Consumption : 9.72 kWh/ton (Gross) Operational Work Index : 17.12 kWh/ton

Moly-Cop ToolsTM, Version 2.0

Particle Size Distributions (Cummulative % Passing)


Simulation N° 0



CLASSIFIERS PERFORMANCE

Number of Cyclones : 6 Operating Conditions :Cyclone Dimensions, in : Feed Flowrate, m3/hr 1170.8

Diameter 26.00 Pressure, psi 4.4Height 78.00 D50 (corr.), microns 174.2Inlet 6.50 Water By-Pass, % 28.6Vortex 6.00 Solids By-Pass, % 10.8Apex 5.08 Plitt's Parameter 1.20

Ore Density, ton/m3 2.70 Circulating Load, % 306

Mass Balance around the Classifiers

Size Distributions, % Passing Classifier Efficiency

i Mesh Opening Mid-Size Feed U'flow O'flow Actual Corrected

1 1.05 25400 21997 100.00 100.00 100.00 1.000 1.0002 0.742 19050 15554 100.00 100.00 100.00 1.000 1.0003 0.525 12700 10984 95.41 93.91 100.00 1.000 1.0004 0.371 9500 7978 91.67 88.96 100.00 1.000 1.0005 3 6700 5641 88.54 84.80 100.00 1.000 1.0006 4 4750 3989 86.13 81.61 100.00 1.000 1.0007 6 3350 2812 83.66 78.33 99.99 1.000 1.0008 8 2360 2003 80.39 73.99 99.99 1.000 1.0009 10 1700 1416 76.56 68.91 99.99 1.000 1.000

10 14 1180 1001 71.25 61.87 99.99 0.997 0.99611 20 850 714 64.69 53.21 99.90 0.979 0.97612 28 600 505 56.19 42.16 99.17 0.925 0.91613 35 425 357 46.32 30.06 96.15 0.826 0.80514 48 300 252 36.28 19.06 89.05 0.697 0.66015 65 212 178 28.01 11.42 78.85 0.563 0.51016 100 150 126 22.22 7.10 68.56 0.443 0.37617 150 106 89 18.34 4.82 59.78 0.346 0.26718 200 75 63 15.70 3.60 52.77 0.274 0.18619 270 53 45 13.71 2.88 46.88 0.222 0.12820 400 38 19 12.20 2.44 42.11 0.151 0.048

Ore, ton/hr 1158.4 873.4 285.0 Classifier Constants Water, m3/hr 741.8 212.5 529.3 a1 4.807 Slurry, ton/hr 1900.2 1085.9 814.3 a2 1.899 Slurry, m3/hr 1170.8 536.0 634.8 a3 8.067 Slurry Dens., ton/m3 1.623 2.026 1.283 a4 0.062 % Solids (by volume) 36.6 60.4 16.6 0.377 % Solids (by weight) 61.0 80.4 35.0 Bpc 0.000



Simulation N° 0



BALL MILL PERFORMANCE

Eff. Diameter, ft 16.0 2769Eff. Length, ft 20.0 2492Speed, % Critical 76.5 Throughput, ton/hr 1158.4App. Density, ton/m3 5.45 % Solids (by weight) 76.1Charge Level, % 40.0 Sp. Energy, kWh/ton 2.39Balls Filling, % 40.0 Reduction Ratio 2.85Lift Angle, (°) 32.3 Arbiter's Flow Number 2.29

Size Distributions

Mill Mill

i Mesh Opening Mid-Size Feed Discharge

1 1.05 25400 21997 100.00 100.002 0.742 19050 15554 100.00 100.003 0.525 12700 10984 93.70 95.414 0.371 9500 7978 87.35 91.675 3 6700 5641 80.47 88.546 4 4750 3989 75.15 86.137 6 3350 2812 70.39 83.668 8 2360 2003 64.53 80.399 10 1700 1416 59.89 76.56

10 14 1180 1001 53.37 71.2511 20 850 714 45.88 64.6912 28 600 505 36.72 56.1913 35 425 357 26.98 46.3214 48 300 252 18.09 36.2815 65 212 178 11.87 28.0116 100 150 126 8.25 22.2217 150 106 89 6.20 18.3418 200 75 63 5.02 15.7019 270 53 45 4.22 13.7120 400 38 19 3.69 12.20

D80, microns 6507 2285

Selection Function Parameters Breakage Function Parametersalpha01 alpha02 alpha11 alpha12 alpha2 Dcrit Beta00 Beta01 Beta1 Beta20.00313 0.0000000 0.750 1.000 3.50 6365 0.309 0.000 0.32 4.50


Mill Power, kW (Gross)

Mill Power, kW (Net)

Moly-Cop Tools / 315551747.xls 04/23/2016 / 23:53:05

CONVENTIONAL BALL MILL POWER ESTIMATIONHogg & Fuerstenau Model

MillPower, kW

Mill Dimensions and Operating Conditions 2141 BallsDiameter Length Mill Speed Charge Balls Interstitial Lift 0 Overfilling

ft ft % Critical Filling,% Filling,% Slurry Filling,% Angle, (°) 351 Slurry16.00 20.00 76.50 40.00 40.00 100.00 32.30 2492 Net Total

10.00 % Losses2769 Gross Total

% Solids in the Mill 76.10 Charge Mill Charge Weight, tons ApparentOre Density, ton/m3 2.70 Volume, Ball Slurry DensitySlurry Density, ton/m3 1.92 m3 Charge Interstitial above Balls ton/m3Balls Density, ton/m3 7.80 45.64 213.58 35.05 0.00 5.448

SiE

Page 17

Selection Function :

alpha01 alpha02 alpha11 alpha12 alpha2 dcrit0.003134 0 0.75 1 3.5 6365

i Mesh Opening Mid-Size SiE

1 1.05 254002 0.742 19050 21997.05 0.0728223 0.525 12700 15554.26 0.1833044 0.371 9500 10984.08 0.4338125 3 6700 7978.095 0.8255266 4 4750 5641.365 1.2322927 6 3350 3989.048 1.3165178 8 2360 2811.761 1.1445459 10 1700 2002.998 0.922209

10 14 1180 1416.333 0.71981111 20 850 1001.499 0.55707412 28 600 714.1428 0.43274213 35 425 504.9752 0.33380114 48 300 357.0714 0.25742115 65 212 252.1904 0.19832916 100 150 178.3255 0.15293417 150 106 126.0952 0.11792918 200 75 89.16277 0.09093519 270 53 63.0476 0.07012120 400 38 44.87761 0.0543421 -400 0 19 0

Bij

Page 18

Breakage Function :

Beta00 Beta01 Beta1 Beta20.308835 0 0.315023 4.5

i Mesh Opening Beta0J Cummulative

1 1.05 25400 0.308835 12 0.742 19050 0.308835 1 13 0.525 12700 0.308835 0.383276 1 14 0.371 9500 0.308835 0.278234 0.469007 1 15 3 6700 0.308835 0.228481 0.291371 0.420267 1 16 4 4750 0.308835 0.200724 0.234828 0.278799 0.424136 1 17 6 3350 0.308835 0.178897 0.204675 0.22874 0.278799 0.420267 1 18 8 2360 0.308835 0.160015 0.182107 0.200469 0.22863 0.277445 0.419451 1 19 10 1700 0.308835 0.144267 0.163989 0.179904 0.201932 0.230218 0.282066 0.436456 1 1

10 14 1180 0.308835 0.128583 0.146115 0.160148 0.178985 0.200469 0.22863 0.278799 0.408949 1 111 20 850 0.308835 0.115957 0.131759 0.144386 0.161224 0.179904 0.201932 0.23086 0.278799 0.436456 1 112 28 600 0.308835 0.103906 0.118064 0.129373 0.144426 0.161003 0.179955 0.202071 0.228826 0.282516 0.420912 113 35 425 0.308835 0.09321 0.10591 0.116053 0.12955 0.144386 0.161224 0.180272 0.200905 0.23086 0.278799 0.4234814 48 300 0.308835 0.083524 0.094904 0.103993 0.116085 0.129373 0.144426 0.161326 0.179099 0.202071 0.228826 0.27879915 65 212 0.308835 0.07487 0.085071 0.093218 0.104058 0.115967 0.129454 0.144568 0.16035 0.180135 0.200743 0.22893616 100 150 0.308835 0.06714 0.076287 0.083593 0.093313 0.103993 0.116085 0.129631 0.143753 0.161326 0.179099 0.20090517 150 106 0.308835 0.060184 0.068383 0.074932 0.083645 0.093218 0.104058 0.116199 0.128851 0.144568 0.16035 0.17916318 200 75 0.308835 0.053969 0.061323 0.067195 0.075009 0.083593 0.093313 0.1042 0.115545 0.129631 0.143753 0.1604719 270 53 0.308835 0.048378 0.054969 0.060233 0.067237 0.074932 0.083645 0.093404 0.103573 0.116199 0.128851 0.14380320 400 38 0.308835 0.043564 0.0495 0.05424 0.060547 0.067476 0.075322 0.08411 0.093267 0.104636 0.116028 0.129486

Bij

Page 19

i Mesh Opening Partial

1 1.05 25400 02 0.742 19050 0.616724 03 0.525 12700 0.105042 0.530993 04 0.371 9500 0.049753 0.177636 0.579733 05 3 6700 0.027757 0.056543 0.141468 0.575864 06 4 4750 0.021827 0.030153 0.050059 0.145338 0.579733 07 6 3350 0.018882 0.022568 0.02827 0.050169 0.142822 0.580549 08 8 2360 0.015749 0.018118 0.020565 0.026698 0.047227 0.137386 0.563544 09 10 1700 0.015684 0.017874 0.019756 0.022947 0.029748 0.053436 0.157658 0.591051 0

10 14 1180 0.012626 0.014356 0.015762 0.01776 0.020565 0.026698 0.047938 0.13015 0.563544 011 20 850 0.012051 0.013695 0.015014 0.016798 0.018902 0.021977 0.02879 0.049972 0.15394 0.579088 012 28 600 0.010696 0.012154 0.01332 0.014876 0.016616 0.018731 0.021799 0.027921 0.051656 0.142113 0.5765213 35 425 0.009686 0.011006 0.012061 0.013465 0.015014 0.016798 0.018946 0.021806 0.02879 0.049972 0.14468214 48 300 0.008654 0.009833 0.010774 0.012027 0.013406 0.014973 0.016758 0.018749 0.021936 0.028083 0.04986215 65 212 0.007731 0.008784 0.009625 0.010744 0.011974 0.013369 0.014936 0.016597 0.018809 0.021644 0.02803116 100 150 0.006956 0.007904 0.008661 0.009668 0.010774 0.012027 0.013432 0.014902 0.016758 0.018749 0.02174217 150 106 0.006214 0.007061 0.007737 0.008637 0.009625 0.010744 0.011998 0.013306 0.014936 0.016597 0.01869318 200 75 0.005592 0.006353 0.006962 0.007771 0.008661 0.009668 0.010796 0.011971 0.013432 0.014902 0.01666719 270 53 0.004814 0.00547 0.005993 0.00669 0.007456 0.008323 0.009294 0.010306 0.011563 0.012823 0.01431820 400 38 0.043564 0.0495 0.05424 0.060547 0.067476 0.075322 0.08411 0.093267 0.104636 0.116028 0.129486

1 1 1 1 1 1 1 1 1 1 1

Bij

Page 20

11 1

0.420912 1 10.278292 0.421731 1 10.228826 0.278799 0.422654 1 10.200743 0.228936 0.278799 0.421731 1 10.179099 0.200905 0.229059 0.278799 0.422654 1 1

0.16035 0.179163 0.200905 0.228936 0.278799 0.421731 1 10.144355 0.161144 0.180001 0.201823 0.230386 0.281713 0.43276 1 1

Bij

Page 21

00.579088 00.142619 0.578269 00.049466 0.142932 0.577346 00.028083 0.049862 0.143855 0.578269 00.021644 0.028031 0.049739 0.142932 0.577346 00.018749 0.021742 0.028154 0.049862 0.143855 0.578269 00.015995 0.018019 0.020905 0.027114 0.048413 0.140018 0.56724 00.144355 0.161144 0.180001 0.201823 0.230386 0.281713 0.43276 1 0

1 1 1 1 1 1 1 1 0

J&T

Page 22

Mill Throughput, ton/hr 1158.3834444 Reynolds Number 2.9792212399 Slurry, m3/hr 792.83332746 Slurry Viscosity, cp 19.853134684 Slurry Dens., ton/m3 1.9199317358 % Solids (by volume) 54.1136315153

Ebar 1.8482531818 N 2.4070198262

Matrix J1 2 3 4 5 6 7 8 9 10

1 0.8772477659 0 0 0 0 0 0 0 0 02 0 0.7283491112 0 0 0 0 0 0 0 03 0 0 0.5005500464 0 0 0 0 0 0 04 0 0 0 0.3067396221 0 0 0 0 0 05 0 0 0 0 0.2013285561 0 0 0 0 06 0 0 0 0 0 0.1860942022 0 0 0 07 0 0 0 0 0 0 0.2191474932 0 0 08 0 0 0 0 0 0 0 0.2756253834 0 09 0 0 0 0 0 0 0 0 0.346768081 0

10 0 0 0 0 0 0 0 0 0 0.424370921311 0 0 0 0 0 0 0 0 0 012 0 0 0 0 0 0 0 0 0 013 0 0 0 0 0 0 0 0 0 014 0 0 0 0 0 0 0 0 0 015 0 0 0 0 0 0 0 0 0 016 0 0 0 0 0 0 0 0 0 017 0 0 0 0 0 0 0 0 0 018 0 0 0 0 0 0 0 0 0 019 0 0 0 0 0 0 0 0 0 020 0 0 0 0 0 0 0 0 0 0

J&T

Page 23

Matrix T1 2 3 4 5 6 7 8 9 10

1 1 0 0 0 0 0 0 0 0 02 0.4065040803 1 0 0 0 0 0 0 0 03 0.1307952774 0.3885436204 1 0 0 0 0 0 0 04 0.0661002274 0.202855709 0.6420391797 1 0 0 0 0 0 05 0.0394016263 0.1245443042 0.4591096917 1.1687054065 1 0 0 0 0 06 0.0343781148 0.1123159766 0.4834414578 1.9448468285 8.4820119286 1 0 0 0 07 0.0378906669 0.130109325 0.6882371011 5.4340232963 -75.886189222 -4.4443206718 1 0 0 08 0.0448220107 0.1661133085 1.1899033656 40.821510315 152.71514962 6.8112250528 -2.9010288842 1 0 09 0.0617916931 0.2552395551 2.9522738414 -221.63342187 -136.94350106 -4.995766478 3.2981319008 -2.6930738658 1 0

10 0.0796770031 0.3905602502 11.5447936879 315.11901522 60.8114659058 1.8667476291 -1.7780328673 2.6631436817 -2.4926449408 111 0.1151464185 0.7225140734 -3895.8823522 -201.77757332 -11.567937715 -0.2772395342 0.4339257987 -1.2396936359 2.4151260594 -2.594624858812 0.1698944418 1.5978691149 9707.4308057 65.815633952 0.9961829182 0.0182949524 -0.0498050281 0.2937346301 -1.1460368006 2.544639573313 0.2692614821 5.2285339575 -9257.7111244 -9.2990186098 0.0462772089 0.0025186542 0.000297188 -0.0264745889 0.2573280665 -1.19227147914 0.464815334 59.592889341 4245.4389172 0.4732517313 0.0362757696 0.0019465619 -0.0003338778 0.0003797782 -0.0242627391 0.269494756215 0.9237119638 -232.8920262 -921.25535153 0.1070446807 0.0321084469 0.0017178888 -0.000323627 0.000212517 -0.0009655257 -0.023731347516 2.3731112212 287.38192351 77.959373671 0.0866100383 0.0288635044 0.0015436101 -0.0002934102 0.0001845904 -0.0008862944 -0.000394626317 10.808079378 -163.8651954 2.7726374903 0.0765337774 0.0257631276 0.0013777761 -0.0002621726 0.0001641242 -0.0007916996 -0.000323614418 -231.87599938 45.278146738 2.3255034826 0.0687747488 0.0231789738 0.001239568 -0.0002359163 0.0001475885 -0.0007123934 -0.000289606119 490.1390717 -5.329122375 1.9848312615 0.0590827219 0.0199293408 0.0010658717 -0.000202827 0.0001268297 -0.000611935 -0.000248441420 -275.28845326 -0.485814779 17.976960967 0.5349810812 0.1804212528 0.009649119 -0.0018362769 0.0011483509 -0.0055417972 -0.002250356

Vector SiE1 2 3 4 5 6 7 8 9 10

1 0.0728224043 0.183304296 0.4338123064 0.8255256735 1.2322921128 1.3165174668 1.1445446649 0.9222093456 0.7198111827 0.5570743218

Matrix bij1 2 3 4 5 6 7 8 9 10

1 0 0 0 0 0 0 0 0 0 02 0.6167242104 0 0 0 0 0 0 0 0 0

J&T

Page 24

3 0.1050417821 0.5309929521 0 0 0 0 0 0 0 04 0.0497529211 0.1776355928 0.579733044 0 0 0 0 0 0 05 0.0277568723 0.056543416 0.1414683802 0.57586354 0 0 0 0 0 06 0.021826732 0.0301526528 0.050058828 0.1453378842 0.579733044 0 0 0 0 07 0.0188823608 0.0225684855 0.0282703612 0.0501686397 0.1428219715 0.5805485288 0 0 0 08 0.0157485418 0.0181180986 0.0205650484 0.0266981187 0.0472273567 0.137385749 0.5635439166 0 0 09 0.0156838544 0.0178742201 0.0197560483 0.0229472473 0.0297482411 0.0534357861 0.1576575076 0.5910514849 0 0

10 0.012625697 0.0143558059 0.015762075 0.0177602432 0.0205650484 0.0266981187 0.0479383436 0.1301499393 0.5635439166 011 0.0120505561 0.0136947295 0.0150136049 0.0167981411 0.0189016259 0.021976633 0.028789568 0.0499722251 0.1539397887 0.579088325112 0.010696233 0.0121540463 0.0133195327 0.0148763713 0.0166164974 0.0187308575 0.0217988192 0.0279211184 0.0516560625 0.14211309913 0.0096863484 0.0110061885 0.0120605422 0.0134646469 0.0150136049 0.0167981411 0.0189457781 0.02180597 0.028789568 0.049972225114 0.0086535497 0.0098325928 0.0107742969 0.0120274817 0.01340563 0.0149725027 0.0167584806 0.0187490735 0.0219355741 0.028083388915 0.0077306584 0.0087839432 0.0096251678 0.0107444505 0.0119744449 0.0133685155 0.0149364255 0.0165972792 0.0188090233 0.021643699416 0.0069560499 0.007903793 0.0086607172 0.0096677952 0.0107742969 0.0120274817 0.0134324722 0.0149021583 0.0167584806 0.018749073517 0.0062141972 0.0070608642 0.0077370614 0.0086367249 0.0096251678 0.0107444505 0.0119983812 0.0133061371 0.0149364255 0.016597279218 0.0055915379 0.0063533691 0.0069618113 0.0077713267 0.0086607172 0.0096677952 0.0107958258 0.0119714513 0.0134324722 0.014902158319 0.0048138138 0.0054696823 0.0059934965 0.0066904163 0.0074560997 0.0083230932 0.0092941749 0.0103060636 0.0115626844 0.012822982420 0.0435640838 0.0494995672 0.054239984 0.0605469723 0.0674762534 0.075322347 0.0841103067 0.0932670993 0.1046360042 0.1160277689

1 1 1 1 1 1 1 1 1 1

Matrix Tij (inverse)1 2 3 4 5 6 7 8 9 10

1 1 -7.2484E-018 1.087257E-017 5.798703E-017 -1.81209E-018 2.174514E-017 -1.63089E-017 7.248379E-018 4.892656E-017 1.812095E-0172 -0.4065040803 1 -4.32341E-016 -3.73058E-016 9.815350E-017 -1.29346E-016 -1.38472E-016 9.109166E-017 -1.69086E-016 -2.89463E-0163 0.0271492897 -0.38854362 1 2.797860E-016 -5.28797E-016 -7.33881E-016 -1.51099E-017 -6.18546E-016 4.082730E-016 2.901591E-0164 -0.0010694617 0.0466045183 -0.6420391797 1 8.581346E-016 1.029743E-015 5.766628E-016 6.047106E-016 -1.90377E-016 -2.69659E-0175 1.152514E-005 -0.000627115 0.2912449688 -1.1687054065 1 -5.31647E-016 -5.87530E-016 -1.31685E-016 3.223988E-016 -1.15097E-0166 0.0001358787 -0.009797336 -1.7051168953 7.9681263708 -8.4820119286 1 3.723609E-015 1.515940E-016 -2.57007E-015 9.150563E-0167 0.0036041232 -0.20708109 17.324003308 -58.709714176 38.189408269 4.4443206718 1 -1.21101E-014 1.386680E-014 -4.67460E-0158 0.0418258394 -2.044497189 42.412955541 -86.933767865 15.846318988 6.0818775865 2.9010288842 1 1.585347E-014 -1.38761E-015

J&T

Page 25

9 -0.1722060538 6.2631407594 -56.79950016 60.907033326 11.290952049 6.7167562764 4.5145531711 2.6930738658 1 -5.99660E-01510 -0.4325209297 10.153929628 -47.484184229 20.0261144087 8.8676430485 6.5809752819 5.305354246 4.0497332651 2.4926449408 111 105.07733179 -1496.2743 3828.2656696 13.033653346 8.0287345599 6.7417480191 6.0246502478 5.2431193638 4.0523524681 2.594624858812 2.8475676657 -23.88330233 31.815769083 9.5215345687 7.0260394888 6.3675950037 6.0626731736 5.708228606 5.0213055312 3.997799810213 5.3203960101 -26.34960962 15.481567245 7.768759888 6.3781354337 6.0547823498 5.9857538692 5.9040280217 5.6035360331 5.023035465414 32.639227209 -94.78875 10.375300937 6.6659436916 5.8501007471 5.711061951 5.7681456965 5.8437108597 5.8024889313 5.574045177815 -23.607727395 38.928896184 8.0710772391 5.9772872062 5.4741439309 5.4314723909 5.5461595589 5.6982558051 5.8053155573 5.806685694716 -18.905289633 16.015379573 6.7964181048 5.505082968 5.1841565882 5.1898247827 5.3228711068 5.501639403 5.6799530724 5.811718257717 -32.845055005 10.404684388 5.9990040085 5.1569772688 4.9468863275 4.9742082474 5.1041375614 5.280693961 5.4808649742 5.671989248118 178.97831086 8.0021168311 5.4840905679 4.9110536433 4.7697517992 4.8044470865 4.9214155719 5.0817768783 5.2762727263 5.482614160819 23.153016632 6.7911332489 5.1814269113 4.773451501 4.6747306251 4.7098923057 4.811416497 4.9515464786 5.1285514922 5.327317809820 1 1 1 1 1 1 1 1 1 1

J&T

Page 26

11 12 13 14 15 16 17 18 19 200 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0

0.5012934601 0 0 0 0 0 0 0 0 00 0.5773913104 0 0 0 0 0 0 0 00 0 0.6478087682 0 0 0 0 0 0 00 0 0 0.7109194659 0 0 0 0 0 00 0 0 0 0.7654748207 0 0 0 0 00 0 0 0 0 0.8116780729 0 0 0 00 0 0 0 0 0 0.850047089 0 0 00 0 0 0 0 0 0 0.8814099507 0 00 0 0 0 0 0 0 0 0.906291 00 0 0 0 0 0 0 0 0 1

J&T

Page 27

11 12 13 14 15 16 17 18 19 200 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 01 0 0 0 0 0 0 0 0 0

-2.5215357671 1 0 0 0 0 0 0 0 02.4230001902 -2.5307771757 1 0 0 0 0 0 0 0-1.1186278109 2.4294536118 -2.5191121353 1 0 0 0 0 0 00.2446026668 -1.1145167388 2.4084980948 -2.5223984736 1 0 0 0 0 0

-0.0209288725 0.2425538935 -1.1037471205 2.419668522 -2.5263781209 1 0 0 0 0-0.0007102303 -0.0209217844 0.2410789035 -1.1124650964 2.4218425794 -2.522331079 1 0 0 0

-0.000604574 -0.0006651164 -0.0205530192 0.2425863412 -1.1123782178 2.4195358725 -2.5263580527 1 0 0-0.0005165421 -0.0005128373 -0.000649201 -0.0207341577 0.2402367487 -1.0981682173 2.3979372744 -2.5204498929 1 0-0.0046790602 -0.0046138527 -0.0055155224 -0.0066571355 -0.0233229894 0.2009634237 -0.8715792216 1.5204498929 -1 1

11 12 13 14 15 16 17 18 19 200.4327421915 0.3338007647 0.2574210156 0.1983293013 0.1529341282 0.1179286391 0.0909354818 0.0701208583 0.05434 0

11 12 13 14 15 16 17 18 19 200 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0

J&T

Page 28

0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0

0.57651958 0 0 0 0 0 0 0 0 00.1446818442 0.5790883251 0 0 0 0 0 0 0 00.0498624703 0.142619354 0.5782692385 0 0 0 0 0 0 00.0280308732 0.0494659702 0.1429321857 0.5773464357 0 0 0 0 0 00.0217419923 0.0280833889 0.0498624703 0.1438549885 0.5782692385 0 0 0 0 00.0186934251 0.0216436994 0.0280308732 0.0497391773 0.1429321857 0.5773464357 0 0 0 00.0166665491 0.0187490735 0.0217419923 0.0281541661 0.0498624703 0.1438549885 0.5782692385 0 0 00.0143175216 0.0159954973 0.018019043 0.0209045005 0.0271135717 0.0484128625 0.1400182025 0.5672397442 0 00.1294857441 0.1443546916 0.161144197 0.1800007318 0.2018225339 0.2303857133 0.281712559 0.4327602558 1 0

1 1 1 1 1 1 1 1 1 0

11 12 13 14 15 16 17 18 19 20-9.06047E-018 2.718142E-017 3.986608E-017 -3.98661E-017 -6.16112E-017 9.060474E-018 1.630885E-017 -4.53024E-018 0 0-8.22396E-016 -6.66782E-016 -5.95053E-016 -3.10697E-016 2.542865E-016 -1.11722E-016 -1.12241E-016 -7.13909E-017 0 01.399371E-015 1.268730E-015 7.769837E-016 3.699943E-016 -1.35230E-016 -1.44837E-016 -1.00322E-017 2.972516E-017 0 0-6.95540E-016 -5.20106E-016 -3.46436E-016 -1.66307E-016 4.300139E-017 1.143064E-016 2.797873E-017 -4.45979E-018 0 03.191145E-016 9.581545E-017 1.204399E-016 6.450813E-017 -1.72346E-017 -5.33796E-017 -1.48370E-017 6.287963E-019 0 0-1.93963E-015 -3.43393E-016 -6.58775E-016 -3.67341E-016 1.008429E-016 3.124154E-016 8.815518E-017 -2.91104E-018 0 01.851804E-014 7.781910E-015 7.634005E-015 3.953231E-015 -1.03145E-015 -3.16959E-015 -8.65378E-016 4.800445E-017 0 04.506519E-014 3.011367E-014 2.155507E-014 1.052108E-014 -2.68107E-015 -7.64674E-015 -1.95752E-015 2.217702E-016 0 0

J&T

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-6.38166E-014 -5.20767E-014 -3.30764E-014 -1.55089E-014 4.252117E-015 9.909612E-015 2.248163E-015 -5.47810E-016 0 0-5.86041E-014 -5.18489E-014 -3.19466E-014 -1.46274E-014 4.680970E-015 7.787475E-015 1.357623E-015 -8.13159E-016 0 0

1 4.864660E-012 2.979183E-012 1.419606E-012 -5.19510E-013 -5.53485E-013 -3.74652E-014 1.144318E-013 0 02.5215357671 1 3.066664E-014 1.584029E-014 -6.73925E-015 -3.30529E-015 9.189882E-016 1.775179E-015 0 03.9584449768 2.5307771757 1 1.256392E-014 -6.71669E-015 4.645929E-017 2.060801E-015 1.921423E-015 0 04.9644404119 3.9458578831 2.5191121353 1 -2.39294E-014 8.686696E-015 9.997896E-015 6.801847E-015 0 05.5540808857 4.9721706343 3.9457065101 2.5223984736 1 -5.65630E-015 -4.55932E-015 -2.87957E-015 0 05.7978510364 5.5646991186 4.976677382 3.952863794 2.5263781209 1 -1.44089E-015 -1.44089E-015 0 05.7949246469 5.7946329459 5.5582934195 4.9740442691 3.9505194722 2.522331079 1 -1.19581E-015 0 05.6695188262 5.8017317784 5.7995586868 5.5653958227 4.9801424076 3.9527755604 2.5263580527 1 0 05.5339067048 5.728255371 5.8592641933 5.8555258834 5.6132529112 5.0125492428 3.9696216091 2.5204498929 1 0

1 1 1 1 1 1 1 1 1 1

J&T

Page 30

J&T

Page 31

SiE1 0.07282240432 0.1833042963 0.43381230644 0.82552567355 1.23229211286 1.31651746687 1.14454466498 0.92220934569 0.7198111827

10 0.557074321811 0.432742191512 0.333800764713 0.257421015614 0.198329301315 0.152934128216 0.117928639117 0.090935481818 0.070120858319 0.054339811520 0

J&T

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J&T

Page 33

C

Page 34

Cyclone Cyclone Cyclone Number of Cyclones 6Feed U'flow O'flow Classifier Dimensions, inches.

Solids, tons 193.0639 145.5639 47.5 DC h DI DO DUWater, m3/hr 123.6325 35.4182 88.21429 26 78 6.5 6 5.077264Slurry, tons 316.6964 180.9821 135.7143Slurry, m3/hr 195.1376 89.33076 105.8069 Classifier ConstantsSolids Density, ton/m3 2.7 2.7 2.7 a1 a2 a3 a4 BpcSlurry Density, ton/m3 1.622939 2.025978 1.28266 4.80711 1.89918 8.06673 0.062239 0.376893 7.97E-005% Solids (by volume) 36.64344 60.35162 16.62708% Solids (by weight) 60.96183 80.43 35

Opening Mid-Size ClassifierEfficiency

1 25400 Circulating Load, CL 3.0645032 19050 21997.05 0.99992 Slurry Split, S 0.8442813 12700 15554.26 0.99992 Cyclone Pressure, ft 6.3303284 9500 10984.08 0.99992 Cyclone Pressure, lb/in2 4.4485265 6700 7978.095 0.99992 Corrected Cut Size, d50c, microns 174.18136 4750 5641.365 0.99992 Water By-Pass 0.286487 3350 3989.048 0.99992 Solids By-Pass 0.1079728 2360 2811.761 0.99992 Plitt's Parameter 1.1958069 1700 2002.998 0.999918

10 1180 1416.333 0.99973811 850 1001.499 0.99666212 600 714.1428 0.97884813 425 504.9752 0.92482614 300 357.0714 0.82604115 212 252.1904 0.69664816 150 178.3255 0.56260917 106 126.0952 0.4429718 75 89.16277 0.34647619 53 63.0476 0.2737220 38 44.87761 0.22209821 0 19 0.150612

Mill

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Matrix J1 2 3 4 5 6 7 8 9 10

1 0.8772477659 0 0 0 0 0 0 0 0 02 0 0.7283491112 0 0 0 0 0 0 0 03 0 0 0.5005500464 0 0 0 0 0 0 04 0 0 0 0.3067396221 0 0 0 0 0 05 0 0 0 0 0.2013285561 0 0 0 0 06 0 0 0 0 0 0.1860942022 0 0 0 07 0 0 0 0 0 0 0.2191474932 0 0 08 0 0 0 0 0 0 0 0.2756253834 0 09 0 0 0 0 0 0 0 0 0.346768081 0

10 0 0 0 0 0 0 0 0 0 0.424370921311 0 0 0 0 0 0 0 0 0 012 0 0 0 0 0 0 0 0 0 013 0 0 0 0 0 0 0 0 0 014 0 0 0 0 0 0 0 0 0 015 0 0 0 0 0 0 0 0 0 016 0 0 0 0 0 0 0 0 0 017 0 0 0 0 0 0 0 0 0 018 0 0 0 0 0 0 0 0 0 019 0 0 0 0 0 0 0 0 0 020 0 0 0 0 0 0 0 0 0 0

Mill

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Matrix T1 2 3 4 5 6 7 8 9 10

1 1 0 0 0 0 0 0 0 0 02 0.4065040803 1 0 0 0 0 0 0 0 03 0.1307952774 0.3885436204 1 0 0 0 0 0 0 04 0.0661002274 0.202855709 0.6420391797 1 0 0 0 0 0 05 0.0394016263 0.1245443042 0.4591096917 1.1687054065 1 0 0 0 0 06 0.0343781148 0.1123159766 0.4834414578 1.9448468285 8.4820119286 1 0 0 0 07 0.0378906669 0.130109325 0.6882371011 5.4340232963 -75.886189222 -4.4443206718 1 0 0 08 0.0448220107 0.1661133085 1.1899033656 40.821510315 152.71514962 6.8112250528 -2.9010288842 1 0 09 0.0617916931 0.2552395551 2.9522738414 -221.63342187 -136.94350106 -4.995766478 3.2981319008 -2.6930738658 1 0

10 0.0796770031 0.3905602502 11.5447936879 315.11901522 60.8114659058 1.8667476291 -1.7780328673 2.6631436817 -2.4926449408 111 0.1151464185 0.7225140734 -3895.8823522 -201.77757332 -11.567937715 -0.2772395342 0.4339257987 -1.2396936359 2.4151260594 -2.594624858812 0.1698944418 1.5978691149 9707.4308057 65.815633952 0.9961829182 0.0182949524 -0.0498050281 0.2937346301 -1.1460368006 2.544639573313 0.2692614821 5.2285339575 -9257.7111244 -9.2990186098 0.0462772089 0.0025186542 0.000297188 -0.0264745889 0.2573280665 -1.19227147914 0.464815334 59.592889341 4245.4389172 0.4732517313 0.0362757696 0.0019465619 -0.0003338778 0.0003797782 -0.0242627391 0.269494756215 0.9237119638 -232.89202622 -921.25535153 0.1070446807 0.0321084469 0.0017178888 -0.000323627 0.000212517 -0.0009655257 -0.023731347516 2.3731112212 287.38192351 77.959373671 0.0866100383 0.0288635044 0.0015436101 -0.0002934102 0.0001845904 -0.0008862944 -0.000394626317 10.808079378 -163.8651954 2.7726374903 0.0765337774 0.0257631276 0.0013777761 -0.0002621726 0.0001641242 -0.0007916996 -0.000323614418 -231.87599938 45.278146738 2.3255034826 0.0687747488 0.0231789738 0.001239568 -0.0002359163 0.0001475885 -0.0007123934 -0.000289606119 490.1390717 -5.3291223749 1.9848312615 0.0590827219 0.0199293408 0.0010658717 -0.000202827 0.0001268297 -0.000611935 -0.000248441420 -275.28845326 -0.4858147789 17.976960967 0.5349810812 0.1804212528 0.009649119 -0.0018362769 0.0011483509 -0.0055417972 -0.002250356

Matrix T (inverse)1 2 3 4 5 6 7 8 9 10

1 1 -7.24838E-018 1.087257E-017 5.798703E-017 -1.81209E-018 2.174514E-017 -1.63089E-017 7.248379E-018 4.892656E-017 1.812095E-0172 -0.4065040803 1 -4.32341E-016 -3.73058E-016 9.815350E-017 -1.29346E-016 -1.38472E-016 9.109166E-017 -1.69086E-016 -2.89463E-016

Mill

Page 37

3 0.0271492897 -0.3885436204 1 2.797860E-016 -5.28797E-016 -7.33881E-016 -1.51099E-017 -6.18546E-016 4.082730E-016 2.901591E-0164 -0.0010694617 0.0466045183 -0.6420391797 1 8.581346E-016 1.029743E-015 5.766628E-016 6.047106E-016 -1.90377E-016 -2.69659E-0175 1.152514E-005 -0.0006271149 0.2912449688 -1.1687054065 1 -5.31647E-016 -5.87530E-016 -1.31685E-016 3.223988E-016 -1.15097E-0166 0.0001358787 -0.0097973359 -1.7051168953 7.9681263708 -8.4820119286 1 3.723609E-015 1.515940E-016 -2.57007E-015 9.150563E-0167 0.0036041232 -0.2070810899 17.324003308 -58.709714176 38.189408269 4.4443206718 1 -1.21101E-014 1.386680E-014 -4.67460E-0158 0.0418258394 -2.0444971891 42.412955541 -86.933767865 15.846318988 6.0818775865 2.9010288842 1 1.585347E-014 -1.38761E-0159 -0.1722060538 6.2631407594 -56.79950016 60.907033326 11.290952049 6.7167562764 4.5145531711 2.6930738658 1 -5.99660E-015

10 -0.4325209297 10.153929628 -47.484184229 20.0261144087 8.8676430485 6.5809752819 5.305354246 4.0497332651 2.4926449408 111 105.07733179 -1496.2743004 3828.2656696 13.033653346 8.0287345599 6.7417480191 6.0246502478 5.2431193638 4.0523524681 2.594624858812 2.8475676657 -23.883302332 31.815769083 9.5215345687 7.0260394888 6.3675950037 6.0626731736 5.708228606 5.0213055312 3.997799810213 5.3203960101 -26.349609618 15.481567245 7.768759888 6.3781354337 6.0547823498 5.9857538692 5.9040280217 5.6035360331 5.023035465414 32.639227209 -94.788750001 10.375300937 6.6659436916 5.8501007471 5.711061951 5.7681456965 5.8437108597 5.8024889313 5.574045177815 -23.607727395 38.928896184 8.0710772391 5.9772872062 5.4741439309 5.4314723909 5.5461595589 5.6982558051 5.8053155573 5.806685694716 -18.905289633 16.015379573 6.7964181048 5.505082968 5.1841565882 5.1898247827 5.3228711068 5.501639403 5.6799530724 5.811718257717 -32.845055005 10.404684388 5.9990040085 5.1569772688 4.9468863275 4.9742082474 5.1041375614 5.280693961 5.4808649742 5.671989248118 178.97831086 8.0021168311 5.4840905679 4.9110536433 4.7697517992 4.8044470865 4.9214155719 5.0817768783 5.2762727263 5.482614160819 23.153016632 6.7911332489 5.1814269113 4.773451501 4.6747306251 4.7098923057 4.811416497 4.9515464786 5.1285514922 5.327317809820 1 1 1 1 1 1 1 1 1 1

Matrix T*J1 2 3 4 5 6 7 8 9 10

1 0.8772477659 0 0 0 0 0 0 0 0 02 0.3566047963 0.7283491112 0 0 0 0 0 0 0 03 0.1147398649 0.2829954006 0.5005500464 0 0 0 0 0 0 04 0.0579862769 0.1477497754 0.3213727412 0.3067396221 0 0 0 0 0 05 0.0345649887 0.0907117333 0.2298073775 0.3584882548 0.2013285561 0 0 0 0 06 0.0301581244 0.0818052418 0.2419866441 0.5965615812 1.7076712144 0.1860942022 0 0 0 07 0.0332395029 0.0947650112 0.3444971129 1.6668302524 -15.278056904 -0.8270623096 0.2191474932 0 0 08 0.0393200088 0.1209884806 0.5956061848 12.521574648 30.745920566 1.2675294921 -0.6357532076 0.2756253834 0 0

Mill

Page 38

9 0.0542066247 0.1859035031 1.4777608082 -67.98375207 -27.570637335 -0.929683177 0.7227773382 -0.7422795167 0.346768081 010 0.069896473 0.2844642111 5.7787470158 96.659487647 12.243084625 0.3473909107 -0.3896514456 0.7340299983 -0.8643697028 0.424370921311 0.1010119384 0.5262424832 -1950.084092 -61.893176589 -2.3289561973 -0.0515926699 0.095093751 -0.3416910337 0.8374886291 -1.101083341812 0.1490395195 1.1638065497 4859.0549399 20.188262687 0.2005600685 0.0034045846 -0.0109146471 0.08096072 -0.3974089821 1.079871040213 0.2362090337 3.8081980609 -4633.9477326 -2.8523774543 0.0093169236 0.0004687069 0.000065128 -0.0072970687 0.0892331598 -0.50596534614 0.4077582133 43.404427987 2125.0546469 0.1451650572 0.0073033483 0.0003622439 -7.31685E-005 0.0001046765 -0.0084135435 0.11436573815 0.8103242566 -169.62670031 -461.13440892 0.0328348449 0.0064643473 0.0003196891 -7.09221E-005 5.857507E-005 -0.0003348135 -0.010070893816 2.0818065171 209.31436857 39.022568106 0.0265667304 0.0058110477 0.0002872569 -6.43001E-005 5.087781E-005 -0.0003073386 -0.000167467917 9.4813634885 -119.35106943 1.3878438243 0.023475942 0.0051868533 0.0002563961 -5.74545E-005 4.523680E-005 -0.0002745362 -0.000137332518 -203.41270243 32.978297934 1.164030876 0.0210959405 0.0046665893 0.0002306764 -5.17005E-005 4.067914E-005 -0.0002470353 -0.000122900419 429.97340564 -3.8814615453 0.99350738 0.0181230118 0.0040123454 0.0001983525 -0.000044449 3.495749E-005 -0.0002121995 -0.000105431320 -241.49618061 -0.3538427624 8.9983686455 0.1640998947 0.0363239503 0.0017956451 -0.0004024155 0.0003165146 -0.0019217184 -0.0009549856

Matrix [T*J*T(inv.)]1 2 3 4 5 6 7 8 9 10

1 0.8772477659 -6.35862E-018 9.537936E-018 5.086899E-017 -1.58966E-018 1.907587E-017 -1.43069E-017 6.358624E-018 4.292071E-017 1.589656E-0172 0.0605279107 0.7283491112 -3.11018E-016 -2.51038E-016 7.084381E-017 -8.64548E-017 -1.06672E-016 6.893134E-017 -1.05706E-016 -2.04368E-0163 0.013290658 0.0885098734 0.5005500464 4.112660E-017 -2.37120E-016 -4.01454E-016 -4.86216E-017 -2.83003E-016 1.621244E-016 6.540167E-0174 0.0063223857 0.0371778994 0.1244338858 0.3067396221 1.076801E-016 6.216367E-017 1.506244E-016 5.840180E-019 5.066619E-017 4.326040E-0175 0.0035483369 0.0180024591 0.0582798015 0.1231944828 0.2013285561 8.248225E-017 7.184309E-017 5.663703E-017 7.683724E-017 8.210164E-0186 0.0028806929 0.0126912066 0.0390090173 0.0836191202 0.1292179717 0.1860942022 1.817278E-017 2.207455E-017 4.514481E-017 4.734121E-0187 0.0027887527 0.0108974793 0.0314193922 0.0661542715 0.1062085598 0.1468994244 0.2191474932 3.634509E-017 4.777702E-017 5.401717E-0188 0.0026801495 0.0095689604 0.0258698551 0.0522222298 0.0833292394 0.118358211 0.1638439908 0.2756253834 4.938101E-017 1.139158E-0179 0.0028611398 0.0095494977 0.0242774817 0.0460871355 0.0703290922 0.0972746171 0.1349059599 0.1915925398 0.346768081 1.036504E-016

10 0.0025616328 0.0081869884 0.0198823591 0.0356209828 0.0512391193 0.0669494474 0.0889858676 0.124807578 0.1934363272 0.424370921311 0.0025042283 0.0077993142 0.0183573569 0.0313643049 0.0424644488 0.0515103558 0.063205725 0.0829753168 0.124296598 0.199585131312 0.0022914258 0.0070351937 0.0162569262 0.0269198964 0.0347906887 0.0394213199 0.0441290013 0.052323276 0.0712916671 0.108483835113 0.0021013597 0.0064070621 0.0146673658 0.0238744182 0.0299999237 0.0324484555 0.0337147423 0.0360007631 0.0428102378 0.057741054814 0.0018929965 0.0057542767 0.0131182991 0.0211831744 0.0262504363 0.0276946989 0.0275148548 0.0272599009 0.0285479223 0.0328880538

Mill

Page 39

15 0.0016975691 0.005154063 0.0117305996 0.0188807162 0.0232598505 0.0242712164 0.0236103865 0.0224932148 0.021747233 0.021984998416 0.0015295203 0.00464184 0.0105584398 0.0169735729 0.0208638856 0.0216788993 0.0209124087 0.0195984451 0.018259141 0.017172264817 0.0013682826 0.0041519115 0.0094423108 0.0151735446 0.0186375556 0.0193372985 0.0185984923 0.0173268546 0.0159180976 0.014531182618 0.0012316838 0.0037372487 0.0084987994 0.0136557225 0.0167693072 0.0173907724 0.0167103948 0.0155378036 0.0142081435 0.012837706619 0.0010623439 0.0032233834 0.00733037 0.0117785921 0.01446395 0.0149982164 0.0144073287 0.0133884479 0.0122252959 0.011011105220 0.0096111652 0.0291622313 0.0663176935 0.1065582132 0.1308474151 0.1356728648 0.1303133541 0.121070476 0.1104912555 0.099393746

Matrix [T*J*T(inv.)] (inverse)1 2 3 4 5 6 7 8 9 10

1 1.1399288079 1.680445E-017 2.564634E-017 -1.89220E-016 8.355145E-017 -1.73569E-016 1.076483E-016 7.391475E-017 -1.18867E-016 -4.81765E-0172 -0.0947313699 1.3729679691 5.593089E-016 1.281421E-015 -1.01714E-015 1.078441E-017 7.580542E-016 -7.78117E-016 -1.57885E-016 -2.26401E-0163 -0.0135166153 -0.2427753668 1.9978022323 -1.44819E-015 -1.27823E-016 3.991181E-015 -1.03008E-015 2.946007E-015 -4.98372E-016 7.414045E-0164 -0.0065307222 -0.067922698 -0.8104407677 3.2600939948 -7.76975E-016 -8.77127E-016 -1.81374E-015 -7.15439E-016 3.198764E-017 -1.84034E-0165 -0.003711144 -0.0109283945 -0.0824010595 -1.9948764408 4.9670052743 -1.44160E-015 6.140567E-016 -5.66529E-016 -8.29261E-016 1.563963E-0166 -0.0028406035 -0.0046342684 0.0025994361 -0.0797032041 -3.4489325264 5.3736225433 5.192340E-016 2.298627E-016 6.654700E-017 1.025268E-0177 -0.0021834113 -0.0045594795 -0.0035855812 0.0361042932 -0.0953343049 -3.6020583542 4.5631368425 -1.95417E-016 -1.31984E-016 -2.33230E-0178 -0.0016500033 -0.004005567 -0.0080311956 -0.0018132727 0.0360368296 -0.1663008477 -2.7125315596 3.6281128673 -9.13471E-017 -6.09581E-0179 -0.0016717902 -0.0042821095 -0.0103410543 -0.0193810246 -0.0227085574 -0.0141764312 -0.2765350971 -2.0045655782 2.8837717619 -6.96366E-016

10 -0.0012705824 -0.0032751057 -0.008206128 -0.0184117761 -0.0358706303 -0.0370688198 -0.0330330438 -0.1533096953 -1.3144779488 2.356429127811 -0.0012420436 -0.0032154873 -0.0081270565 -0.0189141553 -0.040391614 -0.0521992977 -0.0446403801 -0.0424597543 -0.1916896451 -0.938189412712 -0.0010927336 -0.0028275171 -0.0071554039 -0.0168104935 -0.0368239389 -0.0504518157 -0.0477564941 -0.0383569699 -0.0453890045 -0.13095355813 -0.0009893192 -0.0025598926 -0.0064794414 -0.0152499966 -0.0335953164 -0.0467306492 -0.0458822943 -0.0387530557 -0.0330024002 -0.037355440714 -0.0008820541 -0.0022818954 -0.0057755394 -0.0136004726 -0.030013889 -0.0419163126 -0.0415894792 -0.0359207728 -0.0302774141 -0.025816223615 -0.0007873816 -0.0020368228 -0.005155113 -0.0121410375 -0.0268055022 -0.0374726355 -0.0372825758 -0.0324212583 -0.0275730321 -0.022897078116 -0.0007083903 -0.00183246 -0.0046378457 -0.0109230355 -0.0241186188 -0.0337242127 -0.0335761003 -0.0292522321 -0.0249734697 -0.020774695217 -0.0006324636 -0.0016359646 -0.0041404541 -0.0097521037 -0.0215362782 -0.0301167565 -0.0299897163 -0.0261398857 -0.0223425559 -0.018617496918 -0.0005690249 -0.0014718553 -0.0037250973 -0.0087738923 -0.0193765734 -0.0270972135 -0.0269840201 -0.0235227589 -0.0201120899 -0.016769161419 -0.0004893667 -0.0012656903 -0.0032032237 -0.0075453895 -0.0166673538 -0.0233110537 -0.0232142616 -0.0202368242 -0.0173037835 -0.014429962120 -0.0044297882 -0.0114573943 -0.028996707 -0.0683019934 -0.1508670002 -0.2109981432 -0.2101218202 -0.183174082 -0.1566304182 -0.1306260991

Mill

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Matrix { [T*J*T(inv.)] (inverse) - C}1 2 3 4 5 6 7 8 9 10

1 0.1400084605 1.680445E-017 2.564634E-017 -1.89220E-016 8.355145E-017 -1.73569E-016 1.076483E-016 7.391475E-017 -1.18867E-016 -4.81765E-0172 -0.0947313699 0.3730476217 5.593089E-016 1.281421E-015 -1.01714E-015 1.078441E-017 7.580542E-016 -7.78117E-016 -1.57885E-016 -2.26401E-0163 -0.0135166153 -0.2427753668 0.9978818849 -1.44819E-015 -1.27823E-016 3.991181E-015 -1.03008E-015 2.946007E-015 -4.98372E-016 7.414045E-0164 -0.0065307222 -0.067922698 -0.8104407677 2.2601736475 -7.76975E-016 -8.77127E-016 -1.81374E-015 -7.15439E-016 3.198764E-017 -1.84034E-0165 -0.003711144 -0.0109283945 -0.0824010595 -1.9948764408 3.9670849269 -1.44160E-015 6.140567E-016 -5.66529E-016 -8.29261E-016 1.563963E-0166 -0.0028406035 -0.0046342684 0.0025994361 -0.0797032041 -3.4489325264 4.373702196 5.192340E-016 2.298627E-016 6.654700E-017 1.025268E-0177 -0.0021834113 -0.0045594795 -0.0035855812 0.0361042932 -0.0953343049 -3.6020583542 3.5632164989 -1.95417E-016 -1.31984E-016 -2.33230E-0178 -0.0016500033 -0.004005567 -0.0080311956 -0.0018132727 0.0360368296 -0.1663008477 -2.7125315596 2.6281948487 -9.13471E-017 -6.09581E-0179 -0.0016717902 -0.0042821095 -0.0103410543 -0.0193810246 -0.0227085574 -0.0141764312 -0.2765350971 -2.0045655782 1.8840339868 -6.96366E-016

10 -0.0012705824 -0.0032751057 -0.008206128 -0.0184117761 -0.0358706303 -0.0370688198 -0.0330330438 -0.1533096953 -1.3144779488 1.35976737511 -0.0012420436 -0.0032154873 -0.0081270565 -0.0189141553 -0.040391614 -0.0521992977 -0.0446403801 -0.0424597543 -0.1916896451 -0.938189412712 -0.0010927336 -0.0028275171 -0.0071554039 -0.0168104935 -0.0368239389 -0.0504518157 -0.0477564941 -0.0383569699 -0.0453890045 -0.13095355813 -0.0009893192 -0.0025598926 -0.0064794414 -0.0152499966 -0.0335953164 -0.0467306492 -0.0458822943 -0.0387530557 -0.0330024002 -0.037355440714 -0.0008820541 -0.0022818954 -0.0057755394 -0.0136004726 -0.030013889 -0.0419163126 -0.0415894792 -0.0359207728 -0.0302774141 -0.025816223615 -0.0007873816 -0.0020368228 -0.005155113 -0.0121410375 -0.0268055022 -0.0374726355 -0.0372825758 -0.0324212583 -0.0275730321 -0.022897078116 -0.0007083903 -0.00183246 -0.0046378457 -0.0109230355 -0.0241186188 -0.0337242127 -0.0335761003 -0.0292522321 -0.0249734697 -0.020774695217 -0.0006324636 -0.0016359646 -0.0041404541 -0.0097521037 -0.0215362782 -0.0301167565 -0.0299897163 -0.0261398857 -0.0223425559 -0.018617496918 -0.0005690249 -0.0014718553 -0.0037250973 -0.0087738923 -0.0193765734 -0.0270972135 -0.0269840201 -0.0235227589 -0.0201120899 -0.016769161419 -0.0004893667 -0.0012656903 -0.0032032237 -0.0075453895 -0.0166673538 -0.0233110537 -0.0232142616 -0.0202368242 -0.0173037835 -0.014429962120 -0.0044297882 -0.0114573943 -0.028996707 -0.0683019934 -0.1508670002 -0.2109981432 -0.2101218202 -0.183174082 -0.1566304182 -0.1306260991

Mill

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Matrix { [T*J*T(inv.)] (inverse) - C} (inverse)1 2 3 4 5 6 7 8 9 10

1 7.1424255113 1.421256E-016 4.629262E-016 7.661118E-016 1.690104E-016 3.625247E-016 7.770993E-017 3.176685E-016 6.614418E-016 3.007749E-0162 1.8137409642 2.6806229066 -4.88296E-015 -3.59460E-015 -2.23268E-015 -2.99459E-015 -3.28865E-015 -2.75764E-015 -3.88469E-015 -4.76465E-0153 0.5380126184 0.6521705817 1.002122611 7.106166E-017 -2.95861E-016 -6.15164E-016 2.816875E-016 1.491814E-017 1.133154E-015 8.323184E-0164 0.26806203 0.31440981 0.3593356728 0.4424438809 3.021683E-016 1.227329E-016 4.036032E-016 1.369869E-016 3.968805E-016 2.975851E-0165 0.1576500872 0.1790340231 0.2015097351 0.2224860043 0.2520742607 1.827302E-016 2.644687E-016 1.934398E-016 3.151274E-016 1.386307E-0166 0.1354425887 0.1493616062 0.1648554699 0.183506644 0.1987760203 0.2286392523 1.566873E-016 1.241857E-016 2.410267E-016 1.064523E-0167 0.1456596968 0.1566804648 0.1694113857 0.1869765885 0.2076871134 0.2311315996 0.2806453103 1.636610E-016 2.664764E-016 1.066903E-0168 0.1658197349 0.1749996139 0.1858261686 0.2018426409 0.2234729718 0.2530157382 0.2896509981 0.3804892931 3.151273E-016 1.283793E-0169 0.2168978169 0.2253809156 0.2354465437 0.2508135329 0.2727876375 0.3048479653 0.3493741107 0.4048312 0.5307759876 3.249286E-016

10 0.257678039 0.2648553744 0.2733947416 0.2866217933 0.306011828 0.3350691226 0.3772126387 0.4342466174 0.5130975667 0.735419909611 0.329190245 0.3356396151 0.3432774068 0.3551552657 0.3727443835 0.3994030539 0.438679789 0.493274817 0.5739486785 0.679103308212 0.3829343248 0.3881516739 0.3942858501 0.4038225172 0.4179943365 0.4395660618 0.4715478887 0.5164752143 0.5845335359 0.677128953713 0.3885960384 0.3921652609 0.3963087295 0.4027287651 0.4122789584 0.4268452791 0.448497181 0.479037718 0.5257353869 0.590228547314 0.3230244982 0.3248482885 0.3269142706 0.3300895408 0.3348091449 0.3420138076 0.3527374919 0.3678955345 0.3911828753 0.423558390715 0.2300591403 0.2306732755 0.2313192056 0.2322852996 0.2337146209 0.2358978407 0.2391531176 0.2437671475 0.2508980287 0.260869799116 0.1555184309 0.1555596473 0.1555455083 0.1554910412 0.1554015156 0.1552656775 0.1550688185 0.1548022016 0.1544308425 0.153954528917 0.1081764599 0.1080289722 0.1078070617 0.1074362713 0.1068766614 0.1060217845 0.1047528896 0.1029680271 0.1002546747 0.096504878918 0.0815591651 0.0813777501 0.0811259077 0.0807136508 0.0800934715 0.0791457793 0.0777377371 0.0757541578 0.0727288238 0.068536550119 0.0631789155 0.0630162783 0.0627949531 0.0624344068 0.0618917584 0.0610611481 0.0598260172 0.0580852153 0.0554280944 0.051743570920 0.5069360864 0.5055430415 0.503660805 0.5006008823 0.4959979048 0.4889538392 0.4784790785 0.4637136758 0.4411679578 0.4098948738

Circuit Balance1 2 3 4 5 6 7

Fresh Mill Mill Sump Cyclone Cyclone CycloneFeed Feed Discharge Water Feed U'flow O'flow

1 0.000 0.000 0.000 0.000 0.000 0.000 0.0002 19.836 73.005 53.173 0.000 53.173 53.169 0.004

Mill

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3 30.296 73.588 43.296 0.000 43.296 43.293 0.0034 43.377 79.689 36.315 0.000 36.315 36.312 0.0035 33.801 61.626 27.827 0.000 27.827 27.825 0.0026 26.448 55.129 28.683 0.000 28.683 28.681 0.0027 29.982 67.877 37.898 0.000 37.898 37.895 0.0038 9.348 53.687 44.343 0.000 44.343 44.339 0.0049 14.108 75.605 61.513 0.000 61.513 61.497 0.016

10 11.087 86.768 75.935 0.000 75.935 75.682 0.25311 9.662 106.102 98.525 0.000 98.525 96.441 2.08412 7.125 112.808 114.273 0.000 114.273 105.683 8.59013 6.812 102.910 116.337 0.000 116.337 96.099 20.23814 5.330 72.086 95.826 0.000 95.826 66.757 29.06915 4.190 41.929 67.079 0.000 67.079 37.739 29.34016 3.848 23.739 44.905 0.000 44.905 19.892 25.01417 3.078 13.673 30.581 0.000 30.581 10.595 19.98518 2.964 9.284 23.091 0.000 23.091 6.320 16.77019 2.223 6.108 17.490 0.000 17.490 3.885 13.60620 21.489 42.769 141.293 0.000 141.293 21.280 120.013

Total 285.000 1158.384 1158.384 0.000 1158.384 873.384 285.000CL = 3.0645043221

Mill

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11 12 13 14 15 16 17 18 19 200 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0

0.5012934601 0 0 0 0 0 0 0 0 00 0.5773913104 0 0 0 0 0 0 0 00 0 0.6478087682 0 0 0 0 0 0 00 0 0 0.7109194659 0 0 0 0 0 00 0 0 0 0.7654748207 0 0 0 0 00 0 0 0 0 0.8116780729 0 0 0 00 0 0 0 0 0 0.850047089 0 0 00 0 0 0 0 0 0 0.8814099507 0 00 0 0 0 0 0 0 0 0.9062909083 00 0 0 0 0 0 0 0 0 1

Mill

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11 12 13 14 15 16 17 18 19 200 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 01 0 0 0 0 0 0 0 0 0

-2.5215357671 1 0 0 0 0 0 0 0 02.4230001902 -2.5307771757 1 0 0 0 0 0 0 0-1.1186278109 2.4294536118 -2.5191121353 1 0 0 0 0 0 00.2446026668 -1.1145167388 2.4084980948 -2.5223984736 1 0 0 0 0 0

-0.0209288725 0.2425538935 -1.1037471205 2.419668522 -2.5263781209 1 0 0 0 0-0.0007102303 -0.0209217844 0.2410789035 -1.1124650964 2.4218425794 -2.522331079 1 0 0 0

-0.000604574 -0.0006651164 -0.0205530192 0.2425863412 -1.1123782178 2.4195358725 -2.5263580527 1 0 0-0.0005165421 -0.0005128373 -0.000649201 -0.0207341577 0.2402367487 -1.0981682173 2.3979372744 -2.5204498929 1 0-0.0046790602 -0.0046138527 -0.0055155224 -0.0066571355 -0.0233229894 0.2009634237 -0.8715792216 1.5204498929 -1 1

11 12 13 14 15 16 17 18 19 20-9.06047E-018 2.718142E-017 3.986608E-017 -3.98661E-017 -6.16112E-017 9.060474E-018 1.630885E-017 -4.53024E-018 0 0-8.22396E-016 -6.66782E-016 -5.95053E-016 -3.10697E-016 2.542865E-016 -1.11722E-016 -1.12241E-016 -7.13909E-017 0 0

Mill

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1.399371E-015 1.268730E-015 7.769837E-016 3.699943E-016 -1.35230E-016 -1.44837E-016 -1.00322E-017 2.972516E-017 0 0-6.95540E-016 -5.20106E-016 -3.46436E-016 -1.66307E-016 4.300139E-017 1.143064E-016 2.797873E-017 -4.45979E-018 0 03.191145E-016 9.581545E-017 1.204399E-016 6.450813E-017 -1.72346E-017 -5.33796E-017 -1.48370E-017 6.287963E-019 0 0-1.93963E-015 -3.43393E-016 -6.58775E-016 -3.67341E-016 1.008429E-016 3.124154E-016 8.815518E-017 -2.91104E-018 0 01.851804E-014 7.781910E-015 7.634005E-015 3.953231E-015 -1.03145E-015 -3.16959E-015 -8.65378E-016 4.800445E-017 0 04.506519E-014 3.011367E-014 2.155507E-014 1.052108E-014 -2.68107E-015 -7.64674E-015 -1.95752E-015 2.217702E-016 0 0-6.38166E-014 -5.20767E-014 -3.30764E-014 -1.55089E-014 4.252117E-015 9.909612E-015 2.248163E-015 -5.47810E-016 0 0-5.86041E-014 -5.18489E-014 -3.19466E-014 -1.46274E-014 4.680970E-015 7.787475E-015 1.357623E-015 -8.13159E-016 0 0

1 4.864660E-012 2.979183E-012 1.419606E-012 -5.19510E-013 -5.53485E-013 -3.74652E-014 1.144318E-013 0 02.5215357671 1 3.066664E-014 1.584029E-014 -6.73925E-015 -3.30529E-015 9.189882E-016 1.775179E-015 0 03.9584449768 2.5307771757 1 1.256392E-014 -6.71669E-015 4.645929E-017 2.060801E-015 1.921423E-015 0 04.9644404119 3.9458578831 2.5191121353 1 -2.39294E-014 8.686696E-015 9.997896E-015 6.801847E-015 0 05.5540808857 4.9721706343 3.9457065101 2.5223984736 1 -5.65630E-015 -4.55932E-015 -2.87957E-015 0 05.7978510364 5.5646991186 4.976677382 3.952863794 2.5263781209 1 -1.44089E-015 -1.44089E-015 0 05.7949246469 5.7946329459 5.5582934195 4.9740442691 3.9505194722 2.522331079 1 -1.19581E-015 0 05.6695188262 5.8017317784 5.7995586868 5.5653958227 4.9801424076 3.9527755604 2.5263580527 1 0 05.5339067048 5.728255371 5.8592641933 5.8555258834 5.6132529112 5.0125492428 3.9696216091 2.5204498929 1 0

1 1 1 1 1 1 1 1 1 1

11 12 13 14 15 16 17 18 19 200 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0

Mill

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0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0

0.5012934601 0 0 0 0 0 0 0 0 0-1.2640293894 0.5773913104 0 0 0 0 0 0 0 01.2146341492 -1.4612487497 0.6478087682 0 0 0 0 0 0 0

-0.5607608059 1.4027454044 -1.6319029292 0.7109194659 0 0 0 0 0 00.1226177172 -0.6435122802 1.5602461839 -1.7932221756 0.7654748207 0 0 0 0 0

-0.0104915069 0.1400485104 -0.7150170625 1.7201894533 -1.9338788391 0.8116780729 0 0 0 0-0.0003560338 -0.0120800565 0.1561730275 -0.7908730922 1.8538595142 -2.0473208294 0.850047089 0 0 0

-0.000303069 -0.0003840324 -0.013314426 0.1724593521 -0.8514975168 1.9638842143 -2.1475233084 0.8814099507 0 0-0.0002589392 -0.0002961078 -0.0004205581 -0.0147403163 0.1838951822 -0.8913590624 2.0383595996 -2.2215496158 0.9062909083 0-0.0023455823 -0.0026639984 -0.0035730038 -0.0047326872 -0.0178531611 0.1631176045 -0.7408833801 1.3401396651 -0.9062909083 1

11 12 13 14 15 16 17 18 19 20-7.94828E-018 2.384484E-017 3.497243E-017 -3.49724E-017 -5.40483E-017 7.948280E-018 1.430690E-017 -3.97414E-018 0 0-6.02223E-016 -4.75957E-016 -4.19190E-016 -2.40512E-016 1.632385E-016 -7.81415E-017 -7.59348E-017 -5.36130E-017 0 04.666812E-016 4.494855E-016 2.250961E-016 9.270069E-017 -2.79676E-018 -1.03075E-016 -3.49140E-017 -5.84418E-018 0 01.143356E-016 1.512573E-016 5.782853E-017 1.967602E-017 3.729150E-018 -2.74659E-017 -1.02798E-017 -2.62583E-018 0 06.157538E-017 6.485645E-017 2.601113E-017 8.833769E-018 1.805987E-018 -1.28753E-017 -4.88040E-018 -1.27371E-018 0 04.013483E-017 4.273148E-017 1.695097E-017 5.501001E-018 1.208204E-018 -8.74009E-018 -3.35819E-018 -9.12176E-019 0 03.142685E-017 3.338046E-017 1.288666E-017 4.083269E-018 1.008474E-018 -7.11171E-018 -2.78974E-018 -7.88542E-019 0 02.548757E-017 2.689649E-017 1.023193E-017 3.127472E-018 9.472643E-019 -5.89556E-018 -2.39014E-018 -7.05097E-019 0 08.969780E-018 2.031639E-018 -6.84612E-017 2.575980E-017 2.120925E-017 -2.58458E-018 -2.65141E-018 -9.09494E-019 0 09.449390E-018 6.903367E-018 -3.65823E-017 1.426225E-017 1.207701E-017 -3.01632E-018 -2.17314E-018 -7.34345E-019 0 00.5012934601 5.587259E-017 -1.68223E-017 1.212824E-017 9.038154E-018 -2.23847E-018 -1.94677E-018 -5.94163E-019 0 00.1918834512 0.5773913104 -1.15972E-017 8.071597E-018 5.398200E-018 -2.85340E-018 -1.86095E-018 -6.64044E-019 0 00.0943585265 0.178210895 0.6478087682 -1.73048E-017 -7.38393E-018 -3.91344E-018 -1.12010E-018 -5.99811E-019 0 00.0458312767 0.0779498968 0.1589829245 0.7109194659 -3.72146E-017 2.645296E-017 -1.14716E-018 -7.14521E-019 0 0

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0.0252915893 0.0353947175 0.0632574235 0.1376103437 0.7654748207 9.479599E-017 2.764430E-016 -1.07466E-016 0 00.0171372206 0.0192914458 0.0272746459 0.0506292881 0.1167268855 0.8116780729 4.271458E-017 -1.85657E-017 0 00.0135269954 0.0131785409 0.0146164532 0.020690787 0.0396805415 0.0967793617 0.850047089 -2.73080E-017 0 00.0116449383 0.0106488302 0.0102129386 0.0111293745 0.0157310215 0.0311351426 0.0792338183 0.8814099507 0 00.0099061358 0.0088660473 0.008028109 0.0075934501 0.0081710658 0.0115994845 0.023561812 0.0627112071 0.9062909083 00.0891264061 0.0790683161 0.0698187372 0.0614272907 0.0542156649 0.0488079384 0.0471572807 0.0558788422 0.0937090917 1

11 12 13 14 15 16 17 18 19 203.822739E-017 -3.26760E-017 -7.89888E-017 4.118800E-017 8.277605E-017 -9.01508E-018 -1.96649E-017 5.139761E-018 0 01.140274E-015 8.344636E-016 7.913453E-016 5.097689E-016 -3.24915E-016 1.160280E-016 1.164973E-016 8.308563E-017 0 0-1.41772E-015 -1.47681E-015 -7.73765E-016 -3.65003E-016 2.095285E-017 2.232798E-016 6.074362E-017 -1.58170E-018 0 03.990253E-017 -2.61941E-016 -5.08656E-017 -6.96130E-018 -4.96857E-018 8.967402E-019 1.634997E-019 1.776517E-019 0 0-9.92640E-017 1.981674E-017 3.277967E-019 4.094756E-019 -2.06544E-019 -2.05487E-019 9.388261E-020 6.931366E-021 0 01.557814E-018 4.377952E-018 8.365170E-019 1.253320E-018 7.771679E-019 3.426113E-019 1.984580E-019 6.228975E-020 0 02.215920E-018 2.324356E-018 2.307150E-018 5.609711E-019 5.189776E-019 1.659092E-020 1.155649E-019 1.340040E-020 0 0-2.31127E-018 -4.46866E-019 -2.01219E-020 1.240842E-019 -1.48612E-020 -1.04981E-019 1.630628E-019 4.586648E-020 0 0

1.659541E-017 1.288870E-017 3.727343E-016 -7.81818E-017 -7.45506E-017 -1.08458E-017 1.187396E-018 6.828791E-019 0 03.693325E-018 4.392738E-020 1.486574E-018 2.292653E-018 2.449596E-019 2.067438E-019 1.967255E-019 5.029655E-020 0 01.9948395094 -1.54594E-016 -1.26331E-017 -5.89546E-018 -2.11448E-018 -2.46829E-018 5.163693E-020 -1.32431E-019 0 0

-0.6629415491 1.7319276928 8.761473E-018 -2.37429E-018 -2.30069E-019 1.228284E-020 3.670929E-019 2.487094E-019 0 0-0.1081904311 -0.4764498404 1.543665429 4.404621E-017 2.154927E-017 2.016547E-018 -7.67476E-019 1.359013E-019 0 0-0.0317186208 -0.083351489 -0.3452099092 1.4066290881 7.575222E-017 -5.10316E-017 -1.74994E-019 3.941616E-019 0 0-0.0206138387 -0.0257253075 -0.065506849 -0.2528714297 1.3063786985 -1.01072E-016 -4.41349E-016 1.586150E-016 0 0-0.0177828725 -0.0162546302 -0.0209181276 -0.0513747214 -0.1878694545 1.2320155409 -2.29848E-018 2.620422E-018 0 0

-0.015847305 -0.0135777871 -0.0127010122 -0.0165851693 -0.0395930164 -0.1402671442 1.1764054168 2.831527E-017 0 0-0.0142710993 -0.0120974417 -0.0104778278 -0.0099423775 -0.0131201415 -0.0309107903 -0.1057522586 1.1345458481 0 0-0.0122819321 -0.0103941517 -0.0088681721 -0.007729023 -0.0074365244 -0.0099828256 -0.0232666921 -0.0785054103 1.1033984682 0-0.1111918608 -0.0940770452 -0.079983531 -0.0681263672 -0.0583595618 -0.0508547808 -0.0473864662 -0.0560404378 -0.1033984682 1

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11 12 13 14 15 16 17 18 19 203.822739E-017 -3.26760E-017 -7.89888E-017 4.118800E-017 8.277605E-017 -9.01508E-018 -1.96649E-017 5.139761E-018 0 01.140274E-015 8.344636E-016 7.913453E-016 5.097689E-016 -3.24915E-016 1.160280E-016 1.164973E-016 8.308563E-017 0 0-1.41772E-015 -1.47681E-015 -7.73765E-016 -3.65003E-016 2.095285E-017 2.232798E-016 6.074362E-017 -1.58170E-018 0 03.990253E-017 -2.61941E-016 -5.08656E-017 -6.96130E-018 -4.96857E-018 8.967402E-019 1.634997E-019 1.776517E-019 0 0-9.92640E-017 1.981674E-017 3.277967E-019 4.094756E-019 -2.06544E-019 -2.05487E-019 9.388261E-020 6.931366E-021 0 01.557814E-018 4.377952E-018 8.365170E-019 1.253320E-018 7.771679E-019 3.426113E-019 1.984580E-019 6.228975E-020 0 02.215920E-018 2.324356E-018 2.307150E-018 5.609711E-019 5.189776E-019 1.659092E-020 1.155649E-019 1.340040E-020 0 0-2.31127E-018 -4.46866E-019 -2.01219E-020 1.240842E-019 -1.48612E-020 -1.04981E-019 1.630628E-019 4.586648E-020 0 0

1.659541E-017 1.288870E-017 3.727343E-016 -7.81818E-017 -7.45506E-017 -1.08458E-017 1.187396E-018 6.828791E-019 0 03.693325E-018 4.392738E-020 1.486574E-018 2.292653E-018 2.449596E-019 2.067438E-019 1.967255E-019 5.029655E-020 0 01.0159914768 -1.54594E-016 -1.26331E-017 -5.89546E-018 -2.11448E-018 -2.46829E-018 5.163693E-020 -1.32431E-019 0 0

-0.6629415491 0.8071012913 8.761473E-018 -2.37429E-018 -2.30069E-019 1.228284E-020 3.670929E-019 2.487094E-019 0 0-0.1081904311 -0.4764498404 0.717624382 4.404621E-017 2.154927E-017 2.016547E-018 -7.67476E-019 1.359013E-019 0 0-0.0317186208 -0.083351489 -0.3452099092 0.7099810592 7.575222E-017 -5.10316E-017 -1.74994E-019 3.941616E-019 0 0-0.0206138387 -0.0257253075 -0.065506849 -0.2528714297 0.7437697753 -1.01072E-016 -4.41349E-016 1.586150E-016 0 0-0.0177828725 -0.0162546302 -0.0209181276 -0.0513747214 -0.1878694545 0.7890456417 -2.29848E-018 2.620422E-018 0 0

-0.015847305 -0.0135777871 -0.0127010122 -0.0165851693 -0.0395930164 -0.1402671442 0.8299292304 2.831527E-017 0 0-0.0142710993 -0.0120974417 -0.0104778278 -0.0099423775 -0.0131201415 -0.0309107903 -0.1057522586 0.8608262025 0 0-0.0122819321 -0.0103941517 -0.0088681721 -0.007729023 -0.0074365244 -0.0099828256 -0.0232666921 -0.0785054103 0.8813000033 0-0.1111918608 -0.0940770452 -0.079983531 -0.0681263672 -0.0583595618 -0.0508547808 -0.0473864662 -0.0560404378 -0.1033984682 0.8493879434

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11 12 13 14 15 16 17 18 19 202.478778E-017 4.347786E-016 3.982221E-016 -6.73700E-016 -7.59386E-016 1.090527E-016 1.638034E-016 -4.26455E-017 0 0-6.75868E-015 -4.97588E-015 -3.55965E-015 -1.77870E-015 8.313383E-016 -4.49376E-016 -3.67651E-016 -2.69559E-016 0 01.609194E-015 1.420408E-015 4.185791E-016 1.208568E-017 8.498711E-017 -4.04352E-016 -1.60339E-016 -6.43175E-017 0 04.677019E-016 5.254185E-016 7.841663E-017 -4.57668E-017 5.607977E-017 -1.58704E-016 -6.81678E-017 -3.13779E-017 0 02.705210E-016 2.741214E-016 3.853314E-017 -2.84052E-017 3.162884E-017 -8.92796E-017 -3.84974E-017 -1.78991E-017 0 02.122516E-016 2.182783E-016 2.751227E-017 -2.60719E-017 2.603038E-017 -7.35696E-017 -3.18445E-017 -1.49780E-017 0 02.083487E-016 2.165224E-016 2.309500E-017 -2.96245E-017 2.707479E-017 -7.60804E-017 -3.31020E-017 -1.57423E-017 0 02.206973E-016 2.311087E-016 2.118815E-017 -3.50254E-017 3.025791E-017 -8.38782E-017 -3.67231E-017 -1.76259E-017 0 01.501257E-016 1.490302E-016 -2.10742E-016 3.131389E-017 9.395675E-017 -9.96827E-017 -4.77194E-017 -2.31399E-017 0 01.834482E-016 1.907222E-016 -2.06388E-016 1.617545E-017 9.869586E-017 -1.17825E-016 -5.57612E-017 -2.71645E-017 0 00.9842602254 4.543712E-016 -2.09073E-016 1.807281E-017 1.209165E-016 -1.46187E-016 -7.02071E-017 -3.42121E-017 0 00.8084573839 1.2390018586 -2.30890E-016 9.122517E-018 1.308428E-016 -1.70415E-016 -8.13501E-017 -3.99160E-017 0 00.6851452403 0.8226061609 1.3934866556 -1.05211E-016 8.382116E-017 -1.76086E-016 -8.03890E-017 -4.03968E-017 0 00.4720188312 0.5454292658 0.6775468101 1.4084882787 -4.18411E-017 -5.40396E-017 -6.65147E-017 -3.39745E-017 0 00.2760652364 0.3007429543 0.3530866126 0.478866521 1.3445020666 2.119572E-016 6.361785E-016 -2.71567E-016 0 00.1534640843 0.1544506207 0.1651261888 0.205723315 0.3201220012 1.2673538097 1.338914E-016 -7.88284E-017 0 00.0910459664 0.0842102395 0.0796181892 0.0857615395 0.1182456138 0.2141966966 1.2049220143 -7.31333E-017 0 00.0623733249 0.0541992633 0.0458787963 0.041489287 0.0465134797 0.0718225027 0.148024333 1.1616746761 0 00.0463134336 0.0390123528 0.0310028402 0.0246834921 0.0222363424 0.0264085732 0.044996324 0.1034809336 1.1346873894 00.3637562974 0.3013723809 0.2309519016 0.1687154787 0.1239167188 0.0957826113 0.08246514 0.0892413508 0.1381288007 1.1773183358

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0

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Fresh MillFeed Discharge

1 0.00 1 8.341670E-0142 19.84 2 53.1728359763 30.30 3 43.296261224 43.38 4 36.3147750865 33.80 5 27.8272945586 26.45 6 28.6829626167 29.98 7 37.8981081758 9.35 8 44.3428175629 14.11 9 61.51349804

10 11.09 10 75.93519254311 9.66 11 98.52454332212 7.13 12 114.2733980313 6.81 13 116.3367737114 5.33 14 95.82597832115 4.19 15 67.07887838316 3.85 16 44.90536083917 3.08 17 30.58057300818 2.96 18 23.09073520619 2.22 19 17.49039156520 21.49 20 141.29335364

285 1158.3837318

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