TECHNICAL PAPERS
Jun 14, 2002

Coupling of Fluid Flow and Deformation in Underground Formations

Publication: Journal of Engineering Mechanics
Volume 128, Issue 7

Abstract

The extraction of fluids from deformable underground formations has resulted in surface subsidence above the formation in several field cases. This paper demonstrates the necessity of using the coupled Biot’s equations for deformation-flow problems in deformable fluid-saturated porous media, particularly for problems involving fluid extraction or injection in underground formations. It is shown that it is not possible to decouple the fluid flow and deformation fields from Biot’s theory except for idealized one-dimensional cases where the total stresses are constant and the deformation mode can be assumed. The deficiencies of the uncoupled approach are also shown via an analysis of a case involving production-induced subsidence in a hydrocarbon field. An important prediction of the coupled analysis is the increase of pore pressure above the initial value during continuous withdrawal of fluids from deformable formations.

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References

Allen, D. R.(1968). “Physical changes of reservoir properties caused by subsidence and repressurizing operations, Wilmington Field, California,” J. Pet. Technol., 20, 23–29.
Biot, M. A.(1941). “General theory of three-dimensional consolidation,” J. Appl. Phys., 12, 155–164.
Biot, M. A., and Willis, D. G.(1957). “The elastic coefficients of the theory of consolidation,” J. Appl. Mech., 24, 594–601.
Carroll, M. M. (1980). “Mechanical response of fluid-saturated porous materials.” Proc., Theoretical and Applied Mechanics, 15th Intl. Cong. Theoretical and Appl. Mech., Toronto, 251–262.
Cheng, A. H.-D.(1997). “Material coefficients of anisotropic poroelasticity,” Int. J. Rock Mech. Min. Sci., 34, 199–205.
Chin, L. Y., Boade, R. R., Nagel, N. B., and Landa, G. H. (1994). “Numerical simulation of Ekofisk reservoir compaction and subsidence: Treating the mechanical behavior of the overburden and reservoir.” Proc., Eurock’94, Delft, 787–794.
Cryer, C. W.(1963). “A comparison of the three-dimensional consolidation theories of Biot and Terzaghi,” Q. J. Mech. Appl. Math., 16, 401–412.
Desai, C. S., and Saxena, S. K.(1977). “Consolidation analysis of layered anisotropic foundation,” Int. J. Numer. Analyst. Meth. Geomech., 1, 5–23.
Detournay, E., and Cheng, A. H.-D. (1993). “Fundamentals of poroelasticity.” Comprehensive rock engineering: principles, practice and projects, C. Fairhurst, ed., Vol. II, Chap. 5, Pergamon, New York, 113–171.
Finol, A., and Farouq-Ali, S. M.(1975). “Numerical simulation of oil production with simultaneous ground subsidence,” J. Soc. Petr. Eng., 259, 411–424.
Fredrich, J. T., Aguello, J. G., Deitrick, G. L., and de Rouffignac, E. P.(2000). “Geomechanical modeling of reservoir compaction, surface subsidence, and casing damage at the Belridge diatomite field,” SPE Reservoir Eval. Eng., 3, 348–359.
Gambolati, G.(1977). “Derivation of the Theis solution in aquifers undergoing three-dimensional consolidation,” Water Resour. Res., 13, 62–68.
Gambolati, G., Gatto, P., and Freeze, P. A.(1974). “Mathematical simulation of the Venice Subsidence, 2. Results” Water Resour. Res., 10, 563–577.
Gambolati, G., Sartoretto, F., Rinaldo, A., and Ricceri, G.(1987). “A boundary element solution to land subsidence above 3D gas/oil reservoirs,” Int. J. Numer. Analyt. Meth. Geomech., 11, 489–502.
Geertsma, J.(1957). “The effect of fluid pressure decline on volumetric change of porous rocks,” Trans. AIME, 210, 331–340.
Geertsma, J.(1973). “Land subsidence above compacting oil and gas reservoirs,” JPT, J. Pet. Technol., 734–744.
Green, D. H., and Wang, H. F.(1990). “Specific storage as a poroelastic coefficient,” Water Resour. Res., 26, 1631–1637.
Gutierrez, M., Barton, N., and Makurat, A. (1995). “Compaction and subsidence in North Sea hydrocarbon fields,” Proc., Intl. Workshop on Rock Foundations of Large Structures, Tokyo, 57–64.
Gutierrez, M., and Lewis, R. W. (1998). “The role of geomechanics in reservoir simulation.” Proc., SPE/ISRM Eurock’98 Symp., Trondheim, 439–448.
Harada, Y., and Yamanouchi, T.(1983). “Land subsidence in Saga Plain, Japan and its analysis by quasi three-dimensional aquifer model,” Geotech. Eng., 14(1), 23–54.
Kim, J. M., and Parizek, R. R.(1977). “Numerical simulation of the Noordbergum effect resulting from groundwater pumping in a layered acquifer,” J. Hydrol., 202 (1–4), 231–243.
Kosloff, D., Scott, R. F., and Scranton, J.(1980). “Finite element simulation of Wilmington oil field subsidence: II. Nonlinear modelling,” Tectonophysics, 70, 159–183.
Lewis, R. W., and Schrefler, B. A. (1989). Finite element method in the deformation and consolidation of porous media, Wiley, Chichester.
Lewis, R. W., Schrefler, B. A., and Simoni, L.(1991). “Coupling versus uncoupling in soil consolidation,” Int. J. Numer. Analyt. Meth. Geomech., 15, 533–548.
Premchitt, J.(1979). “Land subsidence in Bangkok, Thailand: results of initial investigation, ” Geotech. Eng., 10(1), 49–76.
Schoonbeek, J. B. (1976). “Land subsidence as a result of gas-extraction in Groningen, the Netherlands,” Proc., 2nd Int. Symp. on LandSubsidence.
Terzaghi, K. (1925). Erdbaumechanik auf Bodenphysikalicher Grundlage, Franz Deutike, Vienna.
Tortike, W. S., and Ali, S. M. (1992). “Reservoir simulation integrated with geomechanics.” Proc. CIM Ann. Tech. Conf. Calgary, Canada, 39–51.
Verruijt, A. (1969). “Elastic storage of aquifers.” Flow through porous media, R. J. M. deWiest, ed., Academic, New York.

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Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 128Issue 7July 2002
Pages: 779 - 787

History

Received: Mar 22, 2001
Accepted: Jan 11, 2002
Published online: Jun 14, 2002
Published in print: Jul 2002

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Authors

Affiliations

Marte S. Gutierrez, M.ASCE
Associate Professor of Civil and Environmental Engineering, Virginia Tech, Blacksburg, VA 24061.
Roland W. Lewis
Professor and Head of Mechanical Engineering, Univ. of Wales Swansea, Swansea, SA2 8PP U.K.

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