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Studies of Foam for EOR and CO2 storage:
Liquid Injectivity3, the Effect of Oil on Foam2, and
Generation In-situ in Heterogeneous Formations1
Delft University of Technology
1Swej Y. Shah [email protected]
2Jinyu Tang [email protected]
3Jiakun Gong [email protected]
4William Rossen [email protected]
2
INTRODUCTION TO FOAM IN POROUS MEDIA
Foams are a distribution of discontinuous gas bubbles in a continuous liquid phase.
Gas mobility reduction, conformance improvement in displacement processes. Enhanced oil recovery (EOR).
Shallow aquifer remediation - (D)NAPL removal.
CO2 storage.
Subsurface applications
1Fried, A.N., 19612Marsden, 19862Kovscek and Radke, 19943Rossen, W.R., 19964Hirasaki, G.J. et. al., SPE J., 19975Alcorn, Z.P. et. al., 20186Rognmo, A. et. al. 2018
3
N2 vs CO2 FOAM
Some considerations before extending conclusions from N2-foam to CO2-foam:
CO2-water systems have lower interfacial tension
CO2 foam can be easier to generate
Lower pressure gradient required to sustain propagation
Different rates of gas diffusion.
CO2 solubility in water is much higher than N2.
Different behaviour in the presence of oil.
Studies of Foam for EOR and CO2 storage:
Liquid Injectivity3, the Effect of Oil on Foam2, and
Generation In-situ in Heterogeneous Formations1
Delft University of Technology
1Swej Y. Shah [email protected]
2Jinyu Tang [email protected]
3Jiakun Gong [email protected]
4William Rossen [email protected]
5
BACKGROUND
Liquid Injectivity in Surfactant-Alternating-Gas Foam
Enhanced Oil Recovery
Injectivity is a key economic factor of a foam EOR process
Gas injectivity in SAG process is good
Liquid injectivity is often very poor in a SAG process
What controls liquid injectivity? How to model it?
6
EXPERIMENTAL DESIGN
Surfactant
Solution
Back-Pressure
Regulator
CT Scan
Effluent
Flask
Quizix Pump
N2
dP2
6.9 cm
4.2 cm
dPt Pout
P1
N2Mass Flow
Controller
7
EXPERIMENTAL DESIGN
Surfactant
Solution
Back-Pressure
Regulator
CT Scan
Effluent
Flask
Quizix Pump
N2
dP2
6.9 cm
4.2 cm
dPt Pout
P1
N2Mass Flow
Controller
Field core is used for all experiments
Focus on middle section
Free of entrance and capillary-end effects
0 2 4 6 80.1
0.2
0.3
0.4
0.5 Case A
Case B
Case C
Wa
ter
sa
tura
tio
n [
-]
Distance from inlet [cm]
Region studied (Section 2)
Liquid injection directly after
steady-state foam
9
LIQUID INJECTION DIRECTLY AFTER STEADY-STATE FOAM
0 5 10 15 20 25 300
100
200
300
400
Pre
ssu
re g
rad
ien
t [b
ar/
m]
Total pore volumes liquid injected [-]
a
c
b
d
e
fg
1
0
0.8
0.6
0.4
0.2
Sw
Liquid injectivity directly following foam is
poor
Pressure gradient evolves over three
stages
Liquid enters with relatively high
mobility
Liquid penetrates foam in a finger
Displacement or dissolution of gas
trapped within a finger into
unsaturated injected liquid
Gong, J. et. al., EAGE IOR, 2019
How would gas-slug injection affect
subsequent liquid injectivity?
11
PROLONGED PERIOD OF GAS INJECTION
[email protected], J. et. al., EAGE IOR, 2019
Foam collapses or greatly weakens
when a sufficient volume of gas is
injected.
0 100 200 300 400 500 600 7000
50
100
150
200
250
300
0 100 200 300 400 500 600 7000.0
0.1
0.2
0.3
0.4
c
b
Pre
ss
ure
gra
die
nt
[ba
r/m
]
Total pore volumes gas injected [-]
afoam
34 PV
174 PV
211 PV
340 PV
397 PV
461 PV
539 PV
639 PV
1
0
0.8
0.6
0.4
0.2
Sw
1.8 cm
3.0 cm
4.2 cm
5.4 cm
Wa
ter
sa
tura
tio
n [
-]
Total pore volumes gas injected [-]
0 100 200 300 400 500 600 7000
50
100
150
200
250
300
0 100 200 300 400 500 600 7000.0
0.1
0.2
0.3
0.4
c
b
Pre
ss
ure
gra
die
nt
[ba
r/m
]
Total pore volumes gas injected [-]
afoam
34 PV
174 PV
211 PV
340 PV
397 PV
461 PV
539 PV
639 PV
1
0
0.8
0.6
0.4
0.2
Sw
1.8 cm
3.0 cm
4.2 cm
5.4 cm
Wa
ter
sa
tura
tio
n [
-]
Total pore volumes gas injected [-]
Foam weakens
Foam collapses
The collapsed-foam region moves
as a front from the inlet to the
outlet as more gas is injected.
12
LIQUID FOLLOWS PROLONGED PERIOD OF GAS INJECTION
[email protected], J. et. al., EAGE IOR, 2019
0 100 200 300 400 500 600 7000
50
100
150
200
250
300
0 100 200 300 400 500 600 7000.0
0.1
0.2
0.3
0.4
c
b
Pre
ss
ure
gra
die
nt
[ba
r/m
]
Total pore volumes gas injected [-]
afoam
34 PV
174 PV
211 PV
340 PV
397 PV
461 PV
539 PV
639 PV
1
0
0.8
0.6
0.4
0.2
Sw
1.8 cm
3.0 cm
4.2 cm
5.4 cm
Wa
ter
sa
tura
tio
n [
-]
Total pore volumes gas injected [-]
Foam collapses or greatly weakens after a prolonged period of gas
injection, leaving less trapped gas
Subsequent liquid injection is much easier than following full-strength foam
Liquid sweeps the entire cross section
without fingering
13
LIQUID FOLLOWS PROLONGED PERIOD OF GAS INJECTION
If the gas slug in a SAG process is equivalent to the pore volume to a
radius of 20 m from the well (far less than a pattern pore volume), at the
end of injection of the gas slug ...
region out to 20 cm has seen
10,000 PV gas injection
In radial flow, radius out to 3 m
represents half the pressure drop
in a region of radius 100 m
Translate to radial flow
14
LIQUID FOLLOWS A SMALLER GAS SLUG
[email protected], J. et. al., EAGE IOR, 2019
Gas-slug size: 250 PV
0 100 200 300 400 500 600 7000
50
100
150
200
250
300
0 100 200 300 400 500 600 7000.0
0.1
0.2
0.3
0.4
c
b
Pre
ss
ure
gra
die
nt
[ba
r/m
]
Total pore volumes gas injected [-]
afoam
34 PV
174 PV
211 PV
340 PV
397 PV
461 PV
539 PV
639 PV
1
0
0.8
0.6
0.4
0.2
Sw
1.8 cm
3.0 cm
4.2 cm
5.4 cm
Wa
ter
sa
tura
tio
n [
-]
Total pore volumes gas injected [-]
Foam collapses or greatly weakens to this position
15
LIQUID FOLLOWS A SMALLER GAS SLUG
[email protected], J. et. al., EAGE IOR, 2019
At the end of gas
injection, core is
occupied by the
collapsed-foam bank
and the weakened-
foam bank
OutletInlet
c
b
12 PV6.3 PV2.5 PV0.46 PV0.37 PV
3 cm1.2 cm
gas-end
a
gas-end 0.37 PV 0.46 PV 2.5 PV 6.3 PV 12 PV
front
collpased-foam bank weakened-foam bank 1
0
0.8
0.6
0.4
0.2
Sw
1.2 cm
3 cm
16
LIQUID FOLLOWS A SMALLER GAS SLUG
[email protected], J. et. al., EAGE IOR, 2019
In the collapsed-foam
region, liquid first
flushes the entire cross
section, then forms
preferential paths
OutletInlet
c
b
12 PV6.3 PV2.5 PV0.46 PV0.37 PV
3 cm1.2 cm
gas-end
a
gas-end 0.37 PV 0.46 PV 2.5 PV 6.3 PV 12 PV
front
collpased-foam bank weakened-foam bank 1
0
0.8
0.6
0.4
0.2
Sw
1.2 cm
3 cm
17
LIQUID FOLLOWS A SMALLER GAS SLUG
[email protected], J. et. al., EAGE IOR, 2019
In the weakened-
foam region, liquid
fingers through foam
as in liquid injection
directly following
foam
OutletInlet
c
b
12 PV6.3 PV2.5 PV0.46 PV0.37 PV
3 cm1.2 cm
gas-end
a
gas-end 0.37 PV 0.46 PV 2.5 PV 6.3 PV 12 PV
front
collpased-foam bank weakened-foam bank 1
0
0.8
0.6
0.4
0.2
Sw
1.2 cm
3 cm
Bank-propagation model
19
BANKS IN A SAG PROCESS
[email protected], J. et. al., SPE J., 2019
Gas-injection period Liquid-injection period
Foam bank
Collapsed-foambank
Injection Well
Flow Flow
Liquid-fingering bank
Gas-dissolution bank
Foam bank
Collapsed-foambank
Injection Well
Flow Flow
20
BANK-PROPAGATION MODEL
[email protected], J. et. al., SPE J., 2019
Gas-injection period:
∆𝑝𝑡 = ∆𝑝𝐹 + ∆𝑝𝐹𝐶𝐺
total pressure difference
foam bank
collapsed-foam bank
Foam bank
Collapsed-foambank
Injection Well
Flow Flow
Liquid-fingering bank
Gas-dissolution bank
Foam bank
Collapsed-foambank
Injection Well
Flow Flow Key parameters:
Dimensionless propagation velocity
Total mobility of each bank
21
BANK-PROPAGATION MODEL
[email protected], J. et. al., SPE J., 2019
Liquid-injection period:
∆𝑝𝑡 = ∆𝑝𝐹𝐶𝐿 + ∆𝑝𝐺𝐷 + ∆𝑝𝐿𝐹 + ∆𝑝𝐹
collapsed-foam bank
gas-dissolution bank
liquid-fingering bank
Foam bank
Collapsed-foambank
Injection Well
Flow Flow
Liquid-fingering bank
Gas-dissolution bank
Foam bank
Collapsed-foambank
Injection Well
Flow Flow
foam bank
Solve Darcy’s Law in each bank
[email protected], J. et. al., SPE J., 2019
Linear-flow model gives reasonable fit tolab data. Especially Section 4.
In Sections 2 and 3, foam collapse takesa somewhat shorter time in experimentthan in model.
WHY? Drying out and collapse of foam reflects
interplay of pressure gradient, capillaryeffects, evaporation.
Not all of these effects scale-up simply.
0 100 200 300 4000
20
40
60 Linear-flow model - S2
Linear-flow model - S3
Linear-flow model - S4
Experiment - S2
Experiment - S3
Experiment - S4
Pre
ssu
re g
rad
ien
t [b
ar/
m]
Total pore volumes gas injected [-]
S4S3S2
Experiment
Linear-flow model
LINEAR-FLOW FIT FOR GAS INJECTIVITY
[email protected], J. et. al., SPE J., 2019
Liquid injection follows 135 TPV gas Liquid injection follows 245 TPV gas
0 5 10 15 200
20
40
60
80
100 Linear-flow model - S2
Linear-flow model - S3
Linear-flow model - S4
Experiment - S2
Experiment - S3
Experiment - S4
Pre
ssu
re g
rad
ien
t [b
ar/
m]
Total pore volumes liquid injected [-]
S4
S3
S2
0 5 10 15 200
20
40
60
80
100 Linear-flow model - S2
Linear-flow model - S3
Linear-flow model - S4
Experiment - S2
Experiment - S3
Experiment - S4
Pre
ssu
re g
rad
ien
t [b
ar/
m]
Total pore volumes liquid injected [-]
Linear-flow model gives reasonable fit to lab data
LINEAR-FLOW FIT FOR LIQUID INJECTIVITY
Can conventional foam simulators
represent our experimental
findings?
GAS INJECTIVITY
PEACEMAN EQUATION VS. BANK-PROPAGATION MODEL
0 5 10 15 201
10
100
1000
10000 1 G-PV gas injection - Peaceman equation
10 G-PV gas injection - Peaceman equation
20 G-PV gas injection - Peaceman equation
1 G-PV gas injection - Radial-flow model
10 G-PV gas injection - Radial-flow model
20 G-PV gas injection - Radial-flow model
Dim
en
sio
nle
ss p
res
su
re d
rop
[-]
Grid-block pore volumes gas injected [-]
Peaceman equation,Parameters fit to foam scan
Bank-propagation model
GAS INJECTIVITY
PEACEMAN EQUATION VS. BANK-PROPAGATION MODEL
0 5 10 15 201
10
100
1000
10000 1 G-PV gas injection - Peaceman equation
10 G-PV gas injection - Peaceman equation
20 G-PV gas injection - Peaceman equation
1 G-PV gas injection - Radial-flow model
10 G-PV gas injection - Radial-flow model
20 G-PV gas injection - Radial-flow model
Dim
en
sio
nle
ss p
res
su
re d
rop
[-]
Grid-block pore volumes gas injected [-]
Bank-propagation model
Peaceman equation based simulation overestimates pressure peak by 70 times.
Peaceman equation,Parameters fit to foam scan
GAS INJECTIVITY
PEACEMAN EQUATION VS. BANK-PROPAGATION MODEL
0 5 10 15 201
10
100
1000
10000 1 G-PV gas injection - Peaceman equation
10 G-PV gas injection - Peaceman equation
20 G-PV gas injection - Peaceman equation
1 G-PV gas injection - Radial-flow model
10 G-PV gas injection - Radial-flow model
20 G-PV gas injection - Radial-flow model
Dim
en
sio
nle
ss p
res
su
re d
rop
[-]
Grid-block pore volumes gas injected [-]
Bank-propagation model
Peaceman equation based simulation overestimates pressure rise by 40 times at a later stage.
Peaceman equation,Parameters fit to foam scan
LIQUID INJECTIVITY
PEACEMAN EQUATION VS. BANK-PROPAGATION MODEL
In radial-flow calculations based on lab data, larger gas slugs increase injectivity of liquid slugs.
Small effects of gas slug on subsequent liquid slug in Peaceman equation.
The more gas is injected before liquid, the bigger error the simulation would give.
0 1 2 3 4 51
10
100
1000
10000 Liquid follows 1 GPV gas - Peaceman
Liquid follows 10 GPV gas - Peaceman
Liquid follows 20 GPV gas - Peaceman
Liquid follows 1 GPV gas - Radial-flow
Liquid follows 10 GPV gas - Radial-flow
Liquid follows 20 GPV gas - Radial-flow
Dim
en
sio
nle
ss p
ressu
re d
rop
[-]
Grid-block pore volumes liquid injected [-]
Peaceman equation
Bank-propagation model
More gas was injected
EXPLANATION
Example: 1 GPV liquid follows 10-GPV gas slug
20 m Conventional simulator
Collapsed-foam region mobility: 150 md/cPGas-dissolution region mobility: 66 md/cPLiquid-fingering region mobility: 0.85 md/cP
9 m
16 m
20 m
Grid-block water saturation: ~0.45Grid-block mobility: 0.75 md/cPDimensionless pressure rise: 300
Bank-propagation model
1 Grid block = 100 x 100 m2
SUMMARY
During gas injection following foam
Gas first weakens foam in the entire core.
Then a collapsed-foam region forms near the inlet and propagates slowly
downstream.
During subsequent liquid injection
Liquid sweeps the entire core cross section in the collapsed-foam region.
Liquid fingers through the weakened-foam region.
Gas dissolution is the key for forming the liquid finger and directing liquid
to flow through the finger
SUMMARY
Conventional simulation using Peaceman model
Underestimates injectivity.
Propagation of the collapsed-foam region.
Cannot represent the effect of previous gas injection on subsequent liquid
injectivity
A new set of experiments would need to be conducted and a new set of
parameters fit to those results is necessary for each field application.
With assumptions and approximations, this model is not predictive. It indicates
trends in expected behavior. Be prepared for adjusting injection rate in field.
SUMMARY
Simulators face two challenges:
o Grid resolution near well
o Mechanisms not represented in model
Evaporation of liquid during gas injection
Dissolution of trapped gas during liquid injection
Capillary-pressure gradients during drying near well
Fingering of liquid through trapped gas
SUMMARY
CO2 instead of N2?
o We expect similar overall behavior incl. bank-propagation
o Liquid evaporation and foam collapse during gas injection could be
different
o CO2 is more soluble
Faster gas dissolution into water
Faster propagation of the gas-dissolution front during liquid
injection
Studies of Foam for EOR and CO2 storage:
Liquid Injectivity3, the Effect of Oil on Foam2, and
Generation In-situ in Heterogeneous Formations1
Delft University of Technology
1Swej Y. Shah [email protected]
2Jinyu Tang [email protected]
3Jiakun Gong [email protected]
4William Rossen [email protected]
35
OUTLINE
Foam for gas-mobility control
Experiment investigation of foam flow regimes with oil
Modeling of steady-state foam-oil flow
CT study of foam corefloods with oil
Summary
Current challenges
36
FOAM FLOW REGIMES
Foam-flow regimes in porous media
High-quality regime at the upper left
Low-quality regime at the lower right
Crucial starting point for deeper
exploration in geological formations
Pressure gradient as a function of Uw
and Ug, Osterloh and Jante (1992)
37
EXPERIMENTAL INVESTIGATION:
FOAM-FLOW REGIMES WITH OIL
Co-inject foam and oil to ensure steady state
Fix Uo/Uw ratio to quantify the effect of oil
Water Oil
Gas
4P
2P
3P
1P
Bentheimer core sample
Foam mobility-reduction factor with oil
Two types of model oils used:
Hexadecane (C16), benign to foam stability
Mixture of C16 and oleic acid (OA), very
harmful to foam
C16
C16 + 20%OA
38
200250
300350400
450
450
500
550
600600
500
B
B
B
B B
B
B
B
B
B
B
BB
BB
B
B
B
B
B
B
B
B
B
B
B
B
B
B
B
B
B
B
B
B
B
B
BB
B
B
B
B
B
B
B
B
B
B
0
1
2
3
4
5
6
7
0 0.25 0.5 0.75 1 1.25 1.5 1.75 2
Ug,
ft/D
Uw, ft/D
Steady-state foam flow without oil
Reference without oil
EXPERIMENTAL INVESTIGATION:
FOAM AND C16
100
120
140
160
160
180
180
200
200
B
B
B
B
B
B
B
B
BB
B
B
B
B
B
B B
B
0
1
2
3
4
5
6
7
0 0.25 0.5 0.75 1 1.25 1.5 1.75 2
Ug
, ft
/D
Uw, ft/D
201
237
194
201
196
200
206
204
14493
107
104
158
217
193
181 198
204
∇P, 3 times lower
∇P, 2 times lower
Steady-state foam flow with C16
Uo/Uw=0.25 with C16
Two regimes still exist, oil affects both regimes, high-quality regime is more vulnerable to oil
Low-quality, tilted upward, not independent of Uw.
Tang, J. et. al., SPE J., 2019
39
EXPERIMENTAL INVESTIGATION:
FOAM AND C16 + 20%OA
Oil type plays as significant a role as oil saturation
Gas-mobility reduction is 40x lower in the high-quality regime
and 7x lower in the low-quality regime
200250
300350400
450
450
500
550
600600
500
B
B
B
B B
B
B
B
B
B
B
BB
BB
B
B
B
B
B
B
B
B
B
B
B
B
B
B
B
B
B
B
B
B
B
B
BB
B
B
B
B
B
B
B
B
B
B
0
1
2
3
4
5
6
7
0 0.25 0.5 0.75 1 1.25 1.5 1.75 2
Ug,
ft/D
Uw, ft/D
Steady-state foam flow without oil
10
10
20
20
30
30
30
40
40
40
50
50
60
60
70
B
B
B
B
B
B
B
B
B
B
B
B
B
B
B
B
B
B
B
B
B
BB B B0
1
2
3
4
5
6
7
0 0.5 1 1.5 2 2.5 3 3.5 4
Ug , ft/D
Uw , ft/D
6
7
7
9
9
9
11
13
13
18
19
20
31
30
32
51
52
58
71
77
79
161522 30
fg*=0.2
Steady state foam flow with 20% OA in oil
Uo/Uw=0.25 with 20%OAReference without oil
Tang, J. et. al., SPE J., 2019
40
Implicit-texture modelling: "wet-foam" algorithm and "dry-out“ algorithm
Contour shift reflects the effect of oil on each regime.
Each algorithm represents the effect of oil only on one regime or the other.
MODELLING OF STEADY-STATE FOAM + OIL FLOW
0 1 2 3 4 5
0
1
2
3
4
5
6
7
Ug,
ft/D
Uw, ft/D
200 psi/ft
300 psi/ft
400 psi/ft
500 psi/ft
600 psi/ft
700 psi/ft
0 1 2 3 4 5
0
1
2
3
4
5
6
7
Ug,
ft/D
Uw, ft/D
200 psi/ft
300 psi/ft
400 psi/ft
500 psi/ft
600 psi/ft
700 psi/ft
0 1 2 3 4 5
0
1
2
3
4
5
6
7
Ug,
ft/D
Uw, ft/D
200 psi/ft
300 psi/ft
400 psi/ft
500 psi/ft
600 psi/ft
700 psi/ft
0 1 2 3 4 5
0
1
2
3
4
5
6
7
Ug,
ft/D
Uw, ft/D
200 psi/ft
300 psi/ft
400 psi/ft
500 psi/ft
600 psi/ft
700 psi/ft
(Uo/Uw)=0.25
With wet-foam algorithm
0 1 2 3 4 5 6 7
0
1
2
3
4
5
Ug,
ft/D
Uw, ft/D
200 psi/ft
300 psi/ft
400 psi/ft
500 psi/ft
600 psi/ft
700 psi/ft
0 1 2 3 4 5 6 7
0
1
2
3
4
5
Ug,
ft/D
Uw, ft/D
200 psi/ft
300 psi/ft
400 psi/ft
500 psi/ft
600 psi/ft
700 psi/ft
0 1 2 3 4 5 6 7
0
1
2
3
4
5
Ug,
ft/D
Uw, ft/D
200 psi/ft
300 psi/ft
400 psi/ft
500 psi/ft
600 psi/ft
700 psi/ft
0 1 2 3 4 5 6 7
0
1
2
3
4
5
Ug,
ft/D
Uw, ft/D
200 psi/ft
300 psi/ft
400 psi/ft
500 psi/ft
600 psi/ft
700 psi/ft
(Uo/Uw)=0.25
With dry-out algorithm
( , )f o
rg rg w ok k FM S S
41
Foam properties were estimated from steady-state data.
Good match to experimental data, except for the upward-tilting ∇P contours in the low-
quality regime.
MODELLING OF STEADY-STATE FOAM + OIL FLOW
100
120
140
140
160
160
180
180
200220
200
B
B
B
B
B
B
B
B
BB
B
B
B
B
B
B B
B
0
1
2
3
4
5
6
7
0 0.25 0.5 0.75 1 1.25 1.5 1.75 2
Ug ,
ft/D
Uw , ft/D
201
237
194
201
196
200
206
204
144
93
107
104
158
217
193
181 198
204
Data on foam flow with C16
0.00 0.25 0.50 0.75 1.00 1.25 1.50 1.75 2.000
1
2
3
4
5
6
7
Ug,
ft/D
Uw, ft/D
100 psi/ft
140 psi/ft
160 psi/ft
180 psi/ft
200 psi/ft
Model fit to data
MODEL FIT TO STEADY-STATE FOAM WITH C16
Tang, J. et. al., SPE J., 2019
42
One must combine wet-foam and dry-out algorithms to represent the effect of oil on
both regimes.
MODELLING OF STEADY-STATE FOAM + OIL FLOW
MODEL FIT TO STEADY-STATE FOAM WITH C16 + 20% OA
Data on foam flow with 20% OA Model fit to data
10
10
20
20
30
30
30
40
40
40
50
50
60
60
70
B
B
B
B
B
B
B
B
B
B
B
B
B
B
B
B
B
B
B
B
B
BB B B0
1
2
3
4
5
6
7
0 0.5 1 1.5 2 2.5 3 3.5 4
Ug , ft/D
Uw , ft/D
6
7
7
9
9
9
11
13
13
18
19
20
31
30
32
51
52
58
71
77
79
161522 30
0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.00
1
2
3
4
5
6
7
Ug,
ft/D
Uw, ft/D
7 psi/ft
10 psi/ft
20 psi/ft
30 psi/ft
40 psi/ft
50 psi/ft
60 psi/ft
70 psi/ft
Tang, J. et. al., SPE J., 2019
43
Pre-generated foam vs.
in-situ-generated foam
with C16.
Two injection methods
show similarities in
foam dynamics.
Foam develops quickly,
followed by refinement
in texture.
CT STUDY OF DYNAMIC FOAM COREFLOODS WITH OIL
Mobility reduction factor (MRF)
Simjoo and Zitha (2013)
0 1 2 3 4 5 6 7 8
0
1
2
3
4
5
6
7
Se
ctio
na
l p
ressu
re d
rop
, 1
05 P
a
Number of pore volume injected (PVI)
dp for section 2
dp for section 3
dp for section 4
dp for section 5
dp for section 6
~ 1.5 PVITexture refinement
Sectional pressure drop
Tang (2019)
In-situ-generated foam Pre-generated foam
0.5 wt%
44
Pre-generated foam vs.
in-situ-generated foam
with C16 + 20% OA.
Foam behavior is very
different.
In-situ foam generation
is very difficult even at
Sor ~0.1.
Pre-generated foam
shows two stages of
CT STUDY OF DYNAMIC FOAM COREFLOODS WITH OIL
Sectional pressure drop
In-situ-generated foam Pre-generated foam
0 5 10 15 20 25 300.0
0.1
0.2
0.3
0.4
0.5 dp for section 1
dp for section 2
dp for section 3
dp for section 4
dp for section 5
dp for section 6
Se
ctio
na
l p
ressu
re d
rop
, 1
05 P
a
Number of pore volume injected (PVI)(a)
0 1 2 3 4 5 6 7 8
0
1
2
3
4
5
6
7
~ 7.3 PVI
Secondary propagation
Se
ctio
na
l p
ressu
re d
rop
, 1
05 P
a
Number of pore volume injected (PVI)
dp for section 2
dp for section 3
dp for section 4
dp for section 5
dp for section 6
Primary propagation
~ 2.6 PVI
Sectional pressure drop
45
Foam-flow regimes in porous media with oil
The two regimes for foam without oil apply to foam with oil.
Oil affects both regimes, but has a stronger impact on the high-quality regime.
Modeling of foam flow with oil
Each of the two algorithms for foam represents the effect of oil only on one regime or
the other.
The currently applied foam model, though simplified, give a good match to data.
SUMMARY
46
Dynamics of foam with oil
Pre-generated foam behaves very differently than in-situ generated foam, depending
on oil type.
Currently applied foam models needs further investigation for reliable prediction of
foam EOR.
SUMMARY
47
Need an effective approach for estimation of oil-related foam-simulation-model
parameters.
Implicit-texture modeling of foam EOR uses steady-state data to predict dynamic
behavior. The reliability needs to be verified.
With N2 foam, oil affects foam through its interaction with aqueous phase. With CO2
foam, oil interacts with both aqueous and gas phases, especially when miscibility is
involved.
CURRENT CHALLENGES
Studies of Foam for EOR and CO2 storage:
Liquid Injectivity3, the Effect of Oil on Foam2, and
Generation In-situ in Heterogeneous Formations1
Delft University of Technology
1Swej Y. Shah [email protected]
2Jinyu Tang [email protected]
3Jiakun Gong [email protected]
4William Rossen [email protected]
Foam Generation by Snap-off in Flow Across a
Sharp Permeability Transition
50
What dominates in the reservoir?
In the near-well region,
o SAG flood, gas draining liquid → leave-behind, snap-off
o High ∇P → lamella division
What happens away from the wells?
o Low ∇P, low velocity, surfactant and gas slugs might’ve mixed.
o Can we still expect foam?
HOW DOES FOAM GENERATE IN POROUS MEDIA?
Distance from well
Pressure
51
WHY ARE WE INTERESTED IN THIS?
Snap-off doesn’t only happen during drainage.
There are several documented ways in which snap-off
can occur.1
A particular mechanism of snap-off could help
generate foam and improve sweep efficiency away
from wells. Snap-off (Roof, 1970)
----------------------------
---------------------------------
----------------------------
---------------------------------
----------------------------
---------------------------------
----------------------------
---------------------------------
----------------------------
---------------------------------
Snap-off in flow across a
sharp increase in permeability.
----------------------------
---------------------------------1Rossen, W.R., 2003
52
Snap-off can cause foam generation independent of pressure gradient in flow across a sharp
increase in permeability (Falls, A.H. et al. 1988, Hirasaki. et al. 1997).
Previous experiments were all under drainage and questions still remain.
fg=80% fg=90%
“Internal” capillary end-effect
Rossen, W.R., 1999
Tanzil, D. et al. 2002
WHY ARE WE INTERESTED IN THIS?
4
53
Sharp heterogeneities do exist in subsurface formations1,2,3 (e.g. laminations, cross-
strata, layer boundaries).
Design an experiment with no foam generation by other mechanisms.
Do we observe foam generation? Validate (or contradict) theoretical predictions.
Investigate the effect of:
permeability contrast (kH/kL) – Shah et. al., SPE J., 2018
fractional flow (fg) – Shah et. al., SPE J., 2019
velocity (ut) – Shah et. al., SPE J., 2019
Does the foam mobilize and propagate at field-like velocities?1Reineck and Singh, 19802Collinson and Thompson, 19893Hartkamp-Bakker, 1993
WHY ARE WE INTERESTED IN THIS?
54
EXPERIMENTAL METHODOLOGY
55
So what do we observe?
Here’s an experiment assisted with CT-scanning, ut=0.67 ft/d, fg=60%, kH/kL ≈ 4:1, core placed
horizontally.
RESULTS
In-situ saturation measurements
Shah, S.Y. et. al., SPE J., 2019
56
RESULTS
In-situ saturation measurements
57
RESULTS
In-situ saturation measurements
58
RESULTS
In-situ saturation measurements
59
RESULTS
In-situ saturation measurements
60
RESULTS
In-situ saturation measurements
61
RESULTS
In-situ saturation measurements
62
Magnitude of pressure gradient is similar but that of fluctuations increases as velocity decreases.
RESULTS
Effect of velocity
fg=80%
kH/kL ≈ 4:1
Shah, S.Y. et. al., SPE J., 2019
63
RESULTS
Effect of velocity
<
Observed weaker foam in outlet tubing at
lower velocity.
64
RESULTS
No clear effect of fg observed. At fg<60%, foam was generated in the low-perm zone itself.
Effect of fractional flow
ut=0.67 ft/d,
kH/kL ≈ 4:1
CT images
𝜇appH =
kH∇P
ul+ug
Shah, S.Y. et. al., SPE J., 2019
65
RESULTS
Foam strength appears to increase with increase in permeability contrast.
Effect of permeability contrast
ut=0.67 ft/d, fg=80%.
𝜇appH =
kH∇P
ul+ug
Shah, S.Y. et. al., SPE J., 2018
66
At a given permeability contrast, we observe foam
generation in drier flows than predicted by theory.
Effect of fg unclear.
CAN WE VALIDATE THEORETICAL RESPONSES?
fg=80% fg=90%
Rossen, W.R., 1999
67
CAN WE VALIDATE THEORETICAL RESPONSES?
Analytical saturation response to
a sharp change in permeability
(Yortsos and Chang, 1990)
68
CAN WE VALIDATE THEORETICAL RESPONSES?
Analytical saturation response to
a sharp change in permeability
(Yortsos and Chang, 1990)
Falls, A.H. et al. (1988)
estimated Pcsn≈1/2 Pc
e
69
We obtained Pc curves for sintered glass porous media from Berg et al. (2014).
These curves were extended to the petrophysical and fluid properties of our system.
CAN WE VALIDATE THEORETICAL RESPONSES?
70
Phase saturations extracted from CT results (sensitive to CT error and slice width).
CAN WE VALIDATE THEORETICAL RESPONSES?
71
Pc < Pcsn (≈1/2 Pc
e) at the boundary of the low-permeability zone.
Foam generation is observed as soon as surfactant reaches the boundary.
CAN WE VALIDATE THEORETICAL RESPONSES?
Shah, S.Y. et. al., SPE J., 2019
72
SUMMARY
Demonstrated foam generation across a sharp increase in permeability.
Demonstrated propagation at field-like velocities (< 1ft/d).
Reduced λg high-permeability zone (benefits sweep efficiency away from wells).
Foam generation triggered as soon as surfactant reaches the boundary.
73
SUMMARY
Foam strength higher with greater permeability contrast.
Foam generation takes longer across greater permeability contrast.
No clear effect of fg in range of conditions studied.
Some theoretical responses verified and some inconsistencies observed.
74
This process is intermittent (also reported by Falls et al., 1988).
Intermittency greater with greater kH/kL, higher fg and lower ut.
SUMMARY
75
Implications for the field:
Foam generation deep in the reservoir
Propagation even at field-like superficial velocities
Foam generates in the high-permeability layers, blocks flow and reduces:
λV
Extent of gravity segregation
Reduced cross-flow
Improved reservoir scale sweep efficiency
WHAT DOES IT MEAN FOR THE FIELD?
THANK YOU
Herru As Syukri
Michiel Slob
Ellen Meijvogel-de Koning
Marc Friebel
Karel Heller
Joost van Meel
Jens van den Berg
Jolanda van Haagen-Donker
ACKNOWLEDGEMENTS
Special thanks to: