Foam displacements with multiple steady states

SPE Journal

Volumn 12, Issue 1, 2007, Pages 5-18

  Rossen, William R ^a,b   Bruining, Johannes ^b  

^a UNIVERSITY OF TEXAS AT AUSTIN   (United States)

^b DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

CAPILLARITY; COMPUTER SIMULATION; SATURATION (MATERIALS COMPOSITION); STEADY FLOW; SURFACE ACTIVE AGENTS;

FRACTIONAL-FLOW FUNCTION; SURFACTANT-ALTERNATING-GAS (SAG);

FOAMS;

EID: 34247233997     PISSN: 1086055X     EISSN: None     Source Type: Journal    
DOI: 10.2118/89397-PA     Document Type: Article

References (47)

1. Barenblatt, G.I., Entov, V.M., and Ryzhik, V.M. 1991. Theory of Fluids Through Natural Rocks. Dordrecht: Academic Publishers.
2. Bedrikovetsky, P., Marchesin, D., and Ballin, P.R. 1996. Mathematical Model for Immiscible Displacement Honouring Hysteresis. Paper SPE 36132 presented at the SPE Latin American and Caribbean Petroleum Engineering Conference, Port-of-Spain, Trinidad and Tobago, 23-26 April. DOI: 10.2118/36132-MS.
3. Bedrikovetsky, P.G., Potsch, K.T., Polyanin, A.D., and Zhurov, A.I. 1995. Upscaling of the Waterflood Reservoir Properties on the Core Level: Laboratory Study, Macro, and Micro Modeling. Paper SPE 29870 presented at the SPE Middle East Oil Show, Bahrain, 11-14 March. DOI: 10.2118/29870-MS.
4. Bruining, J. and van Duijn, C.J. 2000. Uniqueness Conditions in a Hyperbolic Model for Oil Recovery by Steamdrive. Computational Geosciences B 4 (1): 65-98. DOI: http://dx.doi.org/10.1023/ A:1011555715400.
5. Bruining, J. and van Duijn, C.J. 2007. Traveling Waves in a Finite Condensation Rate Model for Steam Injection. Computational Geosciences 10 (4): 373-387.
6. Bruining, J., Marchesin, D., and van Duijn, C.J. 2004. Steam injection into water-saturated porous rock. Comp. Appl. Math. 22 (3): 359-395.
7. Bruining, J., Marchesin, D., and Schecter, S. 2004. Steam Condensation Waves in Water-Saturated Porous Rock. Qualitative Theory of Dynamical Systems 5: 81-106.
8. Buckley, S.E. and Leverett, M.C. 1941. Mechanism of Fluid Displacement in Sands. Trans., AIME 146: 107.
9. Dafermos, C.M. 2000. Hyperbolic Conservation Laws in Continuum Physics. Vol. 325. Grundlehren der Mathematischen Wissenschaften. Berlin: Springer-Verlag.
10. Gauglitz, P.A., Friedmann, F., Kam, S.I., and Rossen, W.R. 2002. Foam Generation in Porous Media. Chem. Eng. Sci. 57: 4037-4052.
11. Gdanski, R.D. 1993. Experience and Research Show Best Designs for Foam-Diverted Acidizing. Oil Gas J. 9: 85.
12. Glimm, J. 1988. The Interaction of Nonlinear Hyperbolic Waves. Comm. Pure Appl. Math. 41: 569-590.
13. Godlewski, E. and Raviart, P.A. 1996. Numerical Approximation of Hyperbolic Systems of Conservation Laws. Applied Mathematical Series 118. Berlin: Springer.
14. Guzman, R.E. and Fayers, F.J. 1997. Solutions to the Three-Phase Buckley-Leverett Problem, SPEJ 2 (3): 301-311. SPE-35156-PA. DOI: 10.2118/35156-PA.
15. Hirasaki, G.J. et al. 2000. Field Demonstration of the Surfactant/Foam Process for Remediation of a Heterogeneous Aquifer Contaminated With DNAPL. NAPL Removal: Surfactants, Foams, and Microemulsions. S. Fiorenza, C.A. Miller, C.L. Oubre, and C.H. Ward (eds.). Boca Raton, Florida: Lewis Publishers.
16. Hundsdorfer, W. and Verwer, J.G. 2003. Numerical Solution of Time Dependent Advection-Diffusion Reaction Equations. Springer Series in Computational Mathematics. Berlin: Springer.
17. Isaacson, E., Marchesin, D., and Plohr, B. 1990. Transitional Waves for Conservation Laws. SIAM J. Math. Anal. 21: 837-866.
18. Kam, S.I. and Rossen, W.R. 2003. A Model for Foam Generation in Homogeneous Media. SPEJ 8 (4): 417-425. SPE-87334-PA. DOI: 10.2118/87334-PA.
19. Khatib, Z.I., Hirasaki, G.J., and Falls, A.H. 1988. Effects of Capillary Pressure on Coalescence and Phase Mobilities in Foams Flowing Through Porous Media. SPERE 3 (3): 919-926. SPE-15442-PA. DOI: 10.2118/ 15442-PA.
20. Kibodeaux, K.R. and Rossen, W.R. 1997. Coreflood Study of Surfactant-Alternating-Gas Foam Processes: Implications for Field Design. Paper SPE 38318 presented at the SPE Western Regional Meeting, Long Beach, California, 25-27 June. DOI: 10.2118/38318-MS.
21. Kovscek, A.R., Patzek, T.W., and Radke, C.J. 1995. A Mechanistic Population Balance Model for Transient and Steady-State Foam Flow in Boise Sandstone. Chem. Eng. Sci. 50: 3783-3799.
22. Kruzkov, S. 1970. First Order Quasilinear Equations in Several Independent Variables. Mat Sb. 123: 228-255; English translation in Math. USSR, Sbornik 10: 217-243.
23. Lake, L.W. 1989. Enhanced Oil Recovery. Englewood Cliffs, New Jersey: Prentice Hall.
24. Martinsen, H.A. and Vassenden, F. 1999. Foam-Assisted Water Alternating Gas (FAWAG) Process on Snorre. Paper presented at the European IOR Symposium, Brighton, U.K., 18-20 August.
25. Medeiros, H.B., Marchesin, D., and Paes Leme, P.J. 1998. Hysteresis in Two-Phase Flow: A Simple Mathematical Model. Comp. Appl. Math 17: 81-99.
26. Oleinik, O.A. 1963a. Discontinuous Solutions of Non-Linear Differential Equations. Am. Math. Soc. Trans. 26: 95-172.
27. Oleinik, O.A. 1963b. Uniqueness and Stability of the Generalized Solution of the Cauchy Problem for a Quasi-Linear Equation. Am. Math Soc. Trans. 33: 285-290.
28. Persoff, P., Radke, C.J., Pruess, K., Benson, S.M., and Witherspoon, P.A. 1991. A Laboratory Investigation of Foam Flow in Sandstone at Elevated Pressure. SPERE 6 (3): 365-372. SPE-18781-PA. DOI: 10.2118/18781-PA.
29. Pope, G.A. 1980. The Application of Fractional-Flow Theory to Enhanced Oil Recovery. SPEJ 20 (3): 191-205. SPE-7660-PA. DOI: 10.2118/7660-PA.
30. Ransohoff, T.C. and Radke, C.J. 1988. Mechanisms of Foam Generation in Glass-Bead Packs. SPERE 3 (2): 573-585. SPE-15441-PA. DOI: 10.2118/15441-PA.
31. Rossen, W.R. 1996. Foams in Enhanced Oil Recovery. Foams: Theory, Measurements and Applications. R.K. Prud'homme and S. Khan (eds.). New York: Marcel Dekker.
32. Rossen, W.R. and Bruining, J. 2004. Foam Displacements With Multiple Steady States. Paper SPE 89397 presented at the SPE/DOE Symposium on Improved Oil Recovery, Tulsa, 17-21 April, DOI: 10.2118/89397-MS.
33. Rossen, W.R. and Gauglitz, P.A. 1990. Percolation Theory of Creation and Mobilization of Foam in Porous Media. AIChE J. 36: 1176-1188.
34. Rossen, W.R., Zeilinger, S.C., Shi, J.-X., and Lim, M.T. 1999. Simplified Mechanistic Simulation of Foam Processes in Porous Media. SPEJ 4 (3): 279-287. SPE-57678-PA. DOI: 10.2118/57678-PA.
35. Schramm, L.L., ed. 1994. Foams: Fundamentals and Applications in the Petroleum Industry. ACS Advances in Chemistry Series. No. 242. Washington, DC: American Chem. Soc.
36. Serre, D. 1999. Systems of Conservation Laws, Vol 1: Hyperbolicity, Entropies and Shock Waves. Cambridge: Cambridge U. Press.
37. Shan, D. and Rossen, W.R. 2004. Optimal Injection Strategies for Foam IOR. SPEJ 9 (2): 132-150. SPE-75180-PA. DOI: 10.2118/ 75180-PA.
38. Shi, J.-X., and Rossen, W.R. 1998. Improved Surfactant-Alternating-Gas Foam Process To Control Gravity Override. Paper SPE 39653 prepared for presentation at the SPE/DOE Improved Oil Recovery Symposium, Tulsa, 19-22 April. DOI: 10.2118/39653-MS.
39. Smoller, J. 1980. Shock Waves and Reaction-Diffusion Equations. New York: Springer-Verlag.
40. Tanzil, D., Hirasaki, G.J., and Miller, C.A. 2002. Conditions for Foam Generation in Homogeneous Porous Media. Paper SPE 75176 presented at the SPE/DOE Improved Oil Recovery Symposium, Tulsa, 13-17 April. DOI: 10.2118/75176-MS.
41. van der Net, A. and Zitha, P.L.J. 2005. A New Method for the Determination of Foam Capillary Pressures in Porous Media. Paper SPE 96988 presented at the SPE Annual Technical Conference and Exhibition, Dallas, 9-12 October. DOI: 10.2118/96988-MS.
42. van Dyke, M. 1975. Perturbation Methods in Fluid Mechanics. Ch. 5. Stanford: The Parabolic Press.
43. Wassmuth, F.R., Green, K.A., and Randall, L. 2001. Details of In-Situ Foam Propagation Exposed With Magnetic Resonance Imaging. SPEREE 4 (2): 135-145. SPE-71300-PA. DOI: 10.2118/71300-PA.
44. Welge, H.J. 1952. A Simplified Method for Computing Oil Recovery by Gas or Water Drive. Trans., AIME 195, 91-98.
45. Xu, Q. and Rossen, W.R. 2004. Experimental Study of Gas Injection in Surfactant-Alternating-Gas Foam Process. SPEREE 7 (6): 438-448. SPE-84183-PA. DOI: 10.2118/84183-PA.
46. Zeilinger, S.C. 1996. A Modeling and Experimental Study of Foam in Acid Diversion and Enhanced Oil Recovery. PhD dissertation. Austin, Texas: U. of Texas at Austin.
47. Zhou, Z.H. and Rossen, W.R. 1995. Applying Fractional-Flow Theory to Foam Processes at the 'Limiting Capillary Pressure'. SPE Advanced Technology 3: 154-162.