A model of buoyancy-driven two-phase countercurrent fluid flow

Transport in Porous Media

Volumn 76, Issue 3, 2009, Pages 449-469

  Silin, Dmitriy ^a   Patzek, Tad ^b   Benson, Sally M ^c  

^a LAWRENCE BERKELEY NATIONAL LABORATORY   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

^c STANFORD UNIVERSITY   (United States)

Author keywords

Darcy's law; Gas migration; Multiphase flow; Porous media

Indexed keywords

BUOYANCY; CARBON DIOXIDE; FLUID DYNAMICS; GAS INDUSTRY; GASES; GROUNDWATER FLOW; HYDROCARBONS; MULTIPHASE FLOW; POROUS MATERIALS; SEEPAGE;

ANALYTICAL RESULTS; ANALYTICAL SOLUTIONS; CAPILLARY FORCES; COUNTER CURRENTS; DARCY'S LAW; FLUID FLOWS; GAS FLOWS; GAS MIGRATION; GAS PLUMES; GAS STORAGES; GEOLOGICAL FORMATIONS; LOW GAS SATURATIONS; POROUS MEDIA; SECONDARY HYDROCARBON MIGRATIONS; TRANSITION ZONES; TRAVELING-WAVE SOLUTIONS;

LEAKAGE (FLUID);

BUOYANCY; COUNTERCURRENT; DARCY LAW; FLUID FLOW; GAS FLOW; HYDROCARBON MIGRATION; MULTIPHASE FLOW; POROUS MEDIUM;

EID: 59749084749     PISSN: 01693913     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11242-008-9257-1     Document Type: Article

References (38)

1. Al-Futaisi A., Patzek T.W.: Impact of wettability on two-phase flow characteristics of sedimentary rock: Quasi-static model. Water Resour. Res. 39(2), 1042-1055 (2003)
2. Al-Futaisi A., Patzek T.W.: Secondary imbibition in NAPL-invaded mixed-wet sediments. J. Contam. Hydrol. 74(1-4), 61-81 (2004)
3. Barenblatt G.I., Gilman A.A.: A mathematical model of non-equilibrium countercurrent capillary imbibition. Eng. Phys. J. 52(3), 46-461 (1987)
4. Barenblatt G.I., Entov V.M., Ryzhik V.M.: Theory of Fluid Flows through Natural Rocks. Kluwer Academic Publishers, Dordrecht (1990)
5. Bedrikovetsky, P., De Deus, J., Eurico Altoé, J.: Secondary migration of oil: Analytical model. SPE 69411. In: 2001 SPE Latin American and Carribean petroleum engineering conference, Buenos Aires, Argentina, SPE (2001)
6. 2, SPE 99938. In: 2006 SPE/DOE symposium on improved oil recovery,Tulsa, OK, SPE, 22-26 April 2006
7. Buckley S.E., Leverett M.C.: Mechanisms of fluid displacement in sands. Trans. AIME 146, 149-158 (1942)
8. Corey A.T.: The interrelations between gas and oil relative permeabilities. Producers Mon. 19, 38-41 (1954)
9. Crandall M.G., Evans L.C., Lions P.-L.: Some properties of viscosity solutions of Hamilton-Jacobi equations. Trans. Am. Math. Soc. 282, 487-502 (1984)
10. 2 injection in a brine aquifer. Geophysics 72(5), A57-A61 (2007)
11. Doughty, C.: Modeling geologic storage Cf carbon dioxide: comparison of non-hysteretic and hysteretic characteristic curves. In: Energy conversion and management. Lawrence Berkeley National Laboratory, Berkeley, CA (2007)
12. 2 in geologic storage. In: McPherson, B., Sundquist, E. (eds.) Science and Technology of Carbon Sequestration. American Geophysical Union, Washington (2008)
13. 2 geologic storage and vice versa: The Frio brine pilot, Texas, USA as a case study. Environ. Geol. (2008, in print)
14. 2 leakage from storage sites in geological media: Analysis of well distribution in mature sedimentary basins. Environ. Geol. 46 (6-7), 707-720 (2004)
15. Hubbert M.K.: Entrapment of petroleum under hydrodynamic conditions. Bull. Am. Assoc. Petrol. Geol. 37 (8), 188-200 (1953)
16. Hubbert M.K.: Darcy's law and the field equations of the flow of underground fluids. Trans. AIME 207 (7), 222-239 (1956)
17. Homsy G.M.: Viscous fingering in porous media. Annu. Rev. Fluid Mech. 19, 271-311 (1987)
18. IPCC.: Intergovernmental Panel on Climate Change Special Report on Carbon Dioxide Capture and Storage. Cambridge University Press, Cambridge (2005)
19. Landau L.D., Lifshitz E.M.: Course of Theoretical Physics. Fluid Mechanics. Series in Advanced Physics, vol. 6. Addison-Wesley, Reading (1959)
20. Leverett M.C.: Capillary behavior in porous solids. Trans. AIME 142, 152-169 (1941)
21. Leverett M.C., Lewis W.B., True M.E.: Dimensional-model studies of oil-field behavior. Trans. AIME 146, 175-193 (1942)
22. 2 from aquifers. Energy Convers. Manage. 38, 235-240 (1997)
23. Luan, Z.-A.: Some theoretical aspects of gravity drainage in naturally fractured reservoirs, SPE 28641. In: 69th SPE annual technical conference and exhibition, pp. 357-366. New Orleans, LA, SPE (1994)
24. Mattax C.C., Kyte J.R.: Imbibition oil recovery from fractured, water-drive reservoir. SPE J. 2, 177-184 (1962)
25. Muskat M.: Physical Principles of Oil Production. McGraw-Hill, New York (1949)
26. 2 plume evolution during injection. Transp. Porous Media 58 (3), 339-360 (2005)
27. Rapoport L.A.: Scaling laws for use in design and operation of water-oil flow models. Trans. AIME 204, 143-150 (1955)
28. 2 sequestration. SPE paper 103169. In: 2006 SPE annual technical conference and exhibition, San Antonio, TX, September 24-27, SPE (2006)
29. Rockafellar R.T.: Convex Analysis. Princeton University Press, Princeton (1970)
30. Ryzhik V.M.: On capillary imbibibtion by water of an oil-saturated reservoir. Soviet Acad. Izvestia Mech. Gas Fluids 2, 149-151 (1960)
31. Saffman P.G., Taylor G.: The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous fluid. Proc. R. Soc. Lond. Ser. A. Math. Phys. Sci. 245 (1242), 312-329 (1958)
32. Shvidler, M.I., Levi, B.I.: One-dimensional filtration of immiscible fluids. Nedra, Moscow (1970) (in Russian)
33. Siddique F.I., Lake L.W.: A comprehensive dynamic theory of hydrocarbon migration and trapping SPE 38682. In: 1997 72th annual technical conference and exhibition, San Antonio, TX, SPE (1997)
34. Silin D.B.: Generalizing Hopf and Lax-Oleinik formulae via conjugate integral. Monatsh. Mathe. 124, 343-364 (1997)
35. Silin D.B.: Viscosity solutions via unbounded set-valued integration. Nonlinear Anal. Theory Methods Appl. 31 (1-2), 55-90 (1998)
36. Silin D.B., Patzek T.W.: On Barenblatt's model of spontaneous countercurrent imbibition. Transp. Porous Media 54 (3), 297-322 (2004)
37. Van Genuchten M.Th.: A closed-form equation for predicting the hydraulic conductivity of unsaturated soils. Soil Sci. Soc. Am. J. 44 (5), 892-898 (1980)
38. Xu T., Apps J.A., Pruess K.: Mineral sequestration of carbon dixoide in a sandstone-shale system. Chem. Geol. 217 (3-4), 295-318 (2005)