A novel and pragmatic technique has been proposed to quantify the nonequilibrium phase behavior together with physical properties of foamy oil under reservoir conditions. Experimentally, constant-composition expansion (CCE) experiments at various constant pressure decline rates are conducted to examine the nonequilibrium phase behavior of solvent–CO2–heavy oil systems. Theoretically, the amount of evolved gas is first formulated as a function of time, and then incorporated into the real gas equation to quantify the nonequilibrium phase behavior of the aforementioned systems. Meanwhile, theoretical models have been developed to determine the time-dependent compressibility and density of foamy oil. Good agreements between the calculated volume–pressure profiles and experimentally measured ones have been achieved, while both amounts of evolved gas and entrained gas as well as compressibility and density of foamy oil were determined. The time-dependent effects of entrained gas on physical properties of oleic phase were quantitatively analyzed and evaluated. A larger pressure decline rate and a lower temperature are found to result in a lower pseudo-bubblepoint pressure and a higher expansion rate of the evolved gas volume in the solvent–CO2–heavy oil systems. Apparent critical supersaturation pressure increases with either an increase in pressure decline rate or a decrease in system temperature. Physical properties of the oleic phase under nonequilibrium conditions follow the same trends as those of conventionally undersaturated oil under equilibrium conditions when pressure is higher than the pseudo-bubblepoint pressure. However, there is an abrupt increase of compressibility and decrease of density associated with pseudo-bubblepoint pressure instead of bubblepoint pressure due to the initialization of gas bubble growth. The amount of dispersed gas in the oleic phase is found to impose a dominant impact on physical properties of the foamy oil. Compared with CCE experiment at constant volume expansion rate, a rebound pressure and its corresponding effects on physical properties cannot be observed in the CCE experiments at constant pressure decline rate.

References

References
1.
Sarma
,
H.
, and
Maini
,
B.
,
1992
, “
Role of Solution Gas in Primary Production of Heavy Oils
,” SPE Latin America Petroleum Engineering Conference, Caracas, Venezuela, Mar. 8–11, SPE Paper No.
SPE-23631-MS
.
2.
Maini
,
B. B.
,
1996
, “
Foamy Oil Flow in Heavy Oil Production
,”
J. Can. Pet. Technol.
,
35
(
6
), pp.
21
24
.
3.
Kamp
,
A. M.
,
Heny
,
C.
,
Andarcia
,
L.
,
Lago
,
M.
, and
Rodriguez
,
A.
,
2001
, “
Experimental Investigation of Foamy Oil Solution Gas Driven
,” SPE International Thermal Operations and Heavy Oil Symposium, Porlamar, Venezuela, Mar. 12–14, SPE Paper No.
SPE-69725-MS
.
4.
Maini
,
B. B.
,
Sarma
,
H. K.
, and
George
,
A. E.
,
1993
, “
Significance of Foamy-Oil Behaviour in Primary Production of Heavy Oils
,”
J. Can. Pet. Technol.
,
32
(
9
), pp.
50
54
.
5.
Sheng
,
J. J.
,
Hayes
,
R. E.
, and
Maini
,
B. B.
,
1996
, “
A Dynamic Model to Simulate Foamy Oil Flow in Porous Media
,” SPE Annual Technical Conference and Exhibition, Denver, CO, Oct. 6–9, SPE Paper No.
SPE-36750-MS
.
6.
Bennion
,
D. B.
,
Mastmann
,
M.
, and
Moustakis
,
M. L.
,
2003
, “
A Case Study of Foamy Oil Recovery in the Patos-Marinza Reservoir, Driza Sand, Albania
,”
J. Can. Pet. Technol.
,
42
(
3
), pp.
21
28
.
7.
Bjorndalen
,
N.
,
Jossy
,
E.
, and
Alvarez
,
J.
,
2002
, “
Foamy Oil Behaviour in Solvent Based Production Processes
,” SPE Heavy Oil Conference Canada, Calgary, AB, Canada, June 12–14, SPE Paper No.
SPE-157905-MS
.
8.
Kumar
,
R.
,
1999
, “
Solution-Gas Drive in Heavy Oil: Gas Mobility and Kinetics of Bubble Growth
,”
M.Sc. thesis
, University of Calgary, Calgary, AB, Canada.http://hdl.handle.net/1880/25130
9.
Sheng
,
J. J.
,
Maini
,
B. B.
,
Hayes
,
R. E.
, and
Tortike
,
W. S.
,
1999
, “
Critical Review of Foamy Oil Flow
,”
Transp. Porous Media
,
35
(
2
), pp.
157
187
.
10.
Laari
,
A.
, and
Turunen
,
I.
,
2005
, “
Prediction of Coalescence Properties of Gas Bubbles in a Gas–Liquid Reactor Using Persistence Time Measurements
,”
Chem. Eng. Res. Des.
,
83
(
7
), pp.
881
886
.
11.
Slettebø
,
E. S.
,
2009
, “
Separation of Gas From Liquids in Viscous Systems
,”
M.Sc. thesis
, Norwegian University of Science and Technology, Trondheim, Norwayhttp://daim.idi.ntnu.no/masteroppgaver/004/4803/masteroppgave.pdf.
12.
Firoozabadi
,
A.
,
Ottesen
,
B.
, and
Mikkelsen
,
M.
,
1992
, “
Measurements of Supersaturation and Critical Gas Saturation
,”
SPE Form. Eval.
,
7
(
4
), pp.
337
344
.
13.
Mastmann
,
M.
,
Moustakis
,
M. L.
, and
Bennion
,
B.
,
2001
, “
Predicting Foamy Oil Recovery
,” SPE Western Regional Meeting, Bakersfield, CA, Mar. 26–30, SPE Paper No.
SPE-68860-MS
.
14.
Bora
,
R.
,
Maini
,
B. B.
, and
Chakma
,
A.
,
1997
, “
Flow Visualization Studies of Solution Gas Drive Process in Heavy Oil Reservoirs Using a Glass Micromodel
,” SPE International Thermal Operations and Heavy Oil Symposium, Bakersfield, CA, Feb. 10–12, SPE Paper No.
SPE-64226-PA
.
15.
Goodarzi
,
N. N.
,
Bryan
,
J. L.
,
Mai
,
A. T.
, and
Kantzas
,
A.
,
2007
, “
Novel Techniques for Measuring Heavy-Oil Fluid Properties
,”
SPE J.
,
12
(
3
), pp.
305
315
.
16.
Kumar
,
R.
,
Pooladi-Darvish
,
M.
, and
Okazawa
,
T.
,
2002
, “
Effect of Depletion Rate on Gas Mobility and Solution Gas Drive in Heavy Oil
,”
SPE J.
,
7
(
2
), pp.
213
220
.
17.
Kraus
,
W. P.
,
McCaffrey
,
W. J.
, and
Boyd
,
G. W.
,
1993
, “
Pseudo-Bubble Point Model for Foamy Oils
,” 44th Annual Technical Conference of the Petroleum Society of CIM, Calgary, AB, Canada, May 9–12, SPE Paper No.
PETSOC-93-45
.
18.
Chen
,
Z.
,
Sun
,
J.
,
Wang
,
R.
, and
Wu
,
X.
,
2015
, “
A Pseudobubblepoint Model and Its Simulation for Foamy Oil in Porous Media
,”
SPE J.
,
20
(
2
), pp.
239
247
.
19.
Sheng
,
J. J.
,
1997
, “
Foamy Oil Flow in Porous Media
,”
Ph.D. dissertation
, University of Alberta, Edmonton, AB, Canada.http://www.collectionscanada.gc.ca/obj/s4/f2/dsk3/ftp04/nq21633.pdf
20.
Sheng
,
J. J.
,
Hayes
,
R. E.
,
Maini
,
B. B.
, and
Tortike
,
W. S.
,
1999
, “
Modelling Foamy Oil Flow in Porous Media
,”
Transp. Porous Media
,
35
(
2
), pp.
227
258
.
21.
Arora
,
P.
, and
Kovscek
,
A. R.
,
2001
, “
Mechanistic Modeling of Solution Gas Drive in Viscous Oils
,” SPE International Thermal Operations and Heavy Oil Symposium, Porlamar, Margarita Island, Venezuela, Mar. 12–14, SPE Paper No.
SPE-0601-0048-JPT
.
22.
Arora
,
P.
, and
Kovscek
,
A. R.
,
2003
, “
A Mechanistic Modeling and Experimental Study of Solution Gas Drive
,”
Transp. Porous Media
,
51
(
3
), pp.
237
265
.
23.
Coombe
,
D.
, and
Maini
,
B.
,
1994
, “
Modeling Foamy Oil Flow
,”
Workshop on Foamy Oil Flow
, Petroleum Recovery Institute, Calgary, AB, Canada, Apr. 27.
24.
Luigi
,
A.
,
Saputelli
,
B.
,
Carlas
,
M.
,
Canache
,
P.
, and
Lopez
,
E.
,
1998
, “
Application of a Non-Equilibrium Reaction Model for Describing Horizontal Well Performance in Foamy Oils
,” SPE International Conference on Horizontal Well Technology SPE, Calgary, AB, Canada, Nov. 1–4, Paper No.
SPE-50414-MS
.
25.
Uddin
,
M.
,
2005
, “
Numerical Studies of Gas Exsolution in a Live Heavy Oil Reservoir
,” SPE International Thermal Operations and Heavy Oil Symposium, Calgary, AB, Canada, Nov. 1–3, SPE Paper No.
SPE-97739-MS
.
26.
Istchenko
,
C. M.
, and
Gates
,
I. D.
,
2014
, “
Well/Wormhole Model of Cold Heavy-Oil Production With Sand
,”
SPE J.
,
19
(
2
), pp.
260
269
.
27.
Maini
,
B. B.
,
2001
, “
Foamy-Oil Flow
,”
J. Pet. Technol.
,
53
(
10
), pp.
54
64
.
28.
Gor
,
G. Y.
,
Kuchma
,
A. E.
, and
Kuni
,
F. M.
,
2011
, “
Gas Bubble Growth Dynamics in a Supersaturated Solution: Henry’s and Sievert’s Solubility Laws
,”
Nucleation Theory and Applications
,
J. W. P.
Schmelzer
, ed.,
JINR
,
Dubna, Russia
, pp.
213
233
.
29.
Kashchiev
,
D.
, and
Firoozabadi
,
A.
,
1993
, “
Kinetics of the Initial Stage of Isothermal Gas Phase Formation
,”
J. Chem. Phys.
,
98
(
6
), pp.
4690
4699
.
30.
Shi
,
Y.
,
Li
,
X.
, and
Yang
,
D.
,
2016
, “
Nonequilibrium Phase Behavior of Alkane Solvent(s)–CO2–Heavy Oil Systems Under Reservoir Conditions
,”
Ind. Eng. Chem. Res.
,
55
(
10
), pp.
2860
2871
.
31.
Peng
,
D.
, and
Robinson
,
D. B.
,
1976
, “
A New Two-Constant Equation of State
,”
Ind. Eng. Chem. Fundam.
,
15
(
1
), pp.
59
64
.
32.
Li
,
H.
, and
Yang
,
D.
,
2011
, “
Modified α Function for the Peng–Robinson Equation of State to Improve the Vapor Pressure Prediction of Non-Hydrocarbon and Hydrocarbon Compounds
,”
Energy Fuels
,
25
(
1
), pp.
215
223
.
33.
Li
,
H.
, and
Yang
,
D.
,
2013
, “
Phase Behaviour of C3H8/n-C4H10/Heavy-Oil Systems at High Pressures and Elevated Temperatures
,”
J. Can. Pet. Technol.
,
52
(
1
), pp.
30
40
.
34.
Li
,
H.
,
Zheng
,
S.
, and
Yang
,
D.
,
2013
, “
Enhanced Swelling Effect and Viscosity Reduction of Solvent(s)/CO2/Heavy Oil Systems
,”
SPE J.
,
18
(
4
), pp.
695
705
.
35.
Li
,
H.
,
Sun
,
H.
, and
Yang
,
D.
,
2017
, “
Effective Diffusion Coefficients of Gas Mixture in Heavy Oil Under Constant-Pressure Conditions
,”
Heat Mass Transfer
,
53
(
5
), pp.
1527
1540
.
36.
Li
,
X.
,
Li
,
H.
, and
Yang
,
D.
,
2013
, “
Determination of Multiphase Boundaries and Swelling Factors of Solvent(s)–CO2–Heavy Oil Systems at High Pressures and Elevated Temperatures
,”
Energy Fuels
,
27
(
3
), pp.
1293
1306
.
37.
Zheng
,
S.
,
Li
,
H.
,
Sun
,
H.
, and
Yang
,
D.
,
2016
, “
Determination of Diffusion Coefficient for Solvent-CO2 Mixtures in Heavy Oil With Consideration of Swelling Effect
,”
Ind. Eng. Chem. Res.
,
55
(
6
), pp.
1533
1549
.
38.
Zheng
,
S.
,
Sun
,
H.
, and
Yang
,
D.
,
2016
, “
Coupling Heat and Mass Transfer for Determining Individual Diffusion Coefficient of a Hot C3H8-CO2 Mixture in Heavy Oil Under Reservoir Conditions
,”
Int. J. Heat Mass Transfer
,
102
, pp.
251
263
.
39.
Zheng
,
S.
, and
Yang
,
D.
,
2017
, “
Determination of Individual Diffusion Coefficients of C3H8/n-C4H10/CO2/Heavy-Oil Systems at High Pressures and Elevated Temperatures by Dynamic Volume Analysis
,”
SPE J.
, 22(3), pp. 799–816.
40.
Zheng
,
S.
, and
Yang
,
D.
,
2017
, “
Experimental and Theoretical Determination of Diffusion Coefficients of CO2-Heavy Oil Systems by Coupling Heat and Mass Transfer
,”
ASME J. Energy Res. Technol.
,
139
(
2
), p.
022901
.
41.
Shi
,
Y.
,
Zheng
,
S.
, and
Yang
,
D.
,
2017
, “
Determination of Individual Diffusion Coefficients of Solvents-CO2-Heavy Oil Systems With Consideration of Natural Convection Induced by Swelling Effect
,”
Int. J. Heat Mass Transfer
,
107
, pp.
572
585
.
42.
Li
,
X.
,
Yang
,
D.
, and
Fan
,
Z.
,
2017
, “
Vapor-Liquid Phase Boundaries and Swelling Factors of C3H8-n-C4H10-CO2-Heavy Oil Systems Under Reservoir Conditions
,”
Fluid Phase Equilib.
,
434
, pp.
211
221
.
43.
Chueh
,
P. L.
, and
Prausnitz
,
J. M.
,
1967
, “
Vapor-Liquid Equilibria at High Pressures: Calculation of Partial Molar Volumes in Non Polar Liquid Mixtures
,”
AIChE J.
,
13
(
6
), pp.
1099
1107
.
44.
Sheikha
,
H.
, and
Pooladi-Darvish
,
M.
,
2009
, “
The Effect of Pressure-Decline Rate and Pressure Gradient on the Behaviour of Solution-Gas Drive in Heavy Oil
,”
SPE Reservoir Eval. Eng.
,
12
(
3
), pp.
390
398
.
45.
Delale
,
C. F.
,
Hruby
,
J.
, and
Marsik
,
F.
,
2003
, “
Homogeneous Bubble Nucleation in Liquids: The Classical Theory Revisited
,”
J. Chem. Phys.
,
118
(
2
), pp.
792
806
.
46.
Chernov
,
A. A.
,
Kedrinskey
,
V. K.
, and
Pil’nik
,
A. A.
,
2014
, “
Kinetics of Gas Bubble Nucleation and Growth in Magmatic Melt at Its Rapid Decompression
,”
Phys. Fluid
,
26
(
11
), p.
116602
.
47.
Bories
,
S.
, and
Prat
,
M.
,
2002
, “
Isothermal Nucleation and Bubble Growth in Porous Media at Low Supersaturations
,”
Transport Phenomena in Porous Media II
,
I.
Pop
and
D. B.
Ingham
, eds.,
Elsevier
,
Pergamon, Turkey
, pp.
276
312
.
48.
Jones
,
S. F.
,
Evans
,
G. M.
, and
Galvin
,
K. P.
,
1999
, “
Bubble Nucleation From Gas Cavities—A Review
,”
Adv. Colloid Interface Sci.
,
80
(
1
), pp.
27
50
.
49.
Lillico
,
D. A.
,
Babchin
,
A. J.
,
Jossy
,
W. E.
,
Sawatzky
,
R. P.
, and
Yuan
,
J.-Y.
,
2001
, “
Gas Bubble Nucleation Kinetics in a Live Heavy Oil
,”
Colloids Surf., A
,
192
(1–3), pp.
25
38
.
50.
Geilikman
,
M. B.
, and
Dusseault
,
M. B.
,
1999
, “
Sand Production Caused by Foamy Oil Flow
,”
Transp. Porous Media
,
35
(
2
), pp.
259
272
.
51.
Katz
,
J. L.
, and
Blander
,
M.
,
1973
, “
Condensation and Boiling: Corrections to Homogeneous Nucleation Theory for Nonideal Gases
,”
J. Colloid Interface Sci.
,
42
(
3
), pp.
496
502
.
52.
Ward
,
C. A.
, and
Levart
,
E.
,
1984
, “
Conditions for Stability of Bubble Nuclei in Solid Surfaces Contacting a Liquid-Gas Solution
,”
J. Appl. Phys.
,
56
(
2
), pp.
491
500
.
53.
Hayduk
,
W.
, and
Cheng
,
S. C.
,
1971
, “
Review of Relation Between Diffusivity and Solvent Viscosity in Diluted Liquid Solutions
,”
Chem. Eng. Sci.
,
26
(
5
), pp.
635
646
.
54.
Shi
,
Y.
, and
Yang
,
D.
,
2017
, “
Quantification of a Single Gas Bubble Growth in Solvent(s)–CO2–Heavy Oil Systems With Consideration of Multicomponent Diffusion Under Non-Equilibrium Conditions
,”
ASME J. Energy Res. Technol.
,
139
(2), p.
022908
.
55.
Bora
,
R.
,
1998
, “
Cold Production of Heavy Oil—An Experimental Investigation of Foamy Oil Flow in Porous Media
,”
Ph.D. dissertation
, University of Calgary, Calgary, AB, Canada.https://dspace.ucalgary.ca/handle/1880/25885?mode=full
56.
Alshmakhy
,
A. B.
, and
Maini
,
B. B.
,
2012
, “
Foamy-Oil-Viscosity Measurement
,”
J. Can. Pet. Technol.
,
51
(
1
), pp.
60
64
.
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