Modeling Fully Coupled Oil–Gas Flow in a Dual-Porosity Medium
Publication: International Journal of Geomechanics
Volume 5, Issue 4
Abstract
A finite element model has been developed to simulate two-phase, (i.e., oil and gas) flow and solid deformation in a dual-porosity medium. The model accounts for coupling between solid deformations and fluid flow in both the primary medium (representing the matrix pores and solid) and the secondary medium (used to represent fractures in the present study). The model is verified against relevant analytical solutions and then applied to the problem of an inclined wellbore under generalized plane strain conditions, subjected to a three-dimensional in situ state of stress in a fractured formation saturated with oil and gas. A parametric study has been carried out to demonstrate the effect of dual-porosity parameters, phase saturations, and interaction between the two media. The implementation of double effective stress laws in the present study is a significant deviation from some classical dual-porosity models and helps to incorporate the effect of deformation of the secondary medium (representing the fractures).
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Acknowledgments
This work is supported by a NSF grant to the Rock Mechanics Research Center,NSF the Oklahoma Center for Advancement of Science and Technology, and the O.U. Rock Mechanics Consortium.
References
Aifantis, E. C. (1977). “Introducing a multi-porous medium.” Developments in Mechanics, Proc., 15th MidWestern Mech. Conf., Vol. 9, Univ. of Illinois, Chicago, 209–211.
Biot, M. A. (1941). “General theory of three-dimensional consolidation.” J. Appl. Phys., 12, 155–164.
Cui, L., Cheng, A. H.-D., and Abousleiman, Y. (1997). “Poroelastic solution for an inclined borehole.” J. Appl. Mech., 64, 32–38.
Ekbote, S., Abousleiman, Y., Cui, L., and Zaman, M. M. (2004). “Analysis of inclined boreholes in poroelastic media.” Int. J. Geomech., 4(3), 178–190.
Kazemi, H. (1969). “Pressure transient analysis of naturally fractured reservoirs with uniform fracture distribution.” Soc. Pet. Eng. J., 9, 451–462.
Kent, T. L., Dixon, T. N., and Pierson, R. G. (1983). “Fractured reservoir simulation.” SPEJ, 23(1), 42–54.
Khaled, M. Y., Beskos, D. E., and Aifantis, E. C. (1984). “On the theory of consolidation with double porosity—III: A finite element formulation.” Int. J. Numer. Analyt. Meth. Geomech., 8, 101–123.
Lewallen, K. T., and Wang, H. F. (1998). “Consolidation of a double-porosity medium.” Int. J. Solids Struct., 35(34–35), 4845–4867.
Lewis, R. W., and Ghafouri, H. R. (1997). “A novel finite element double porosity model for multiphase flow through deformable fractured porous media.” Int. J. Numer. Analyt. Meth. Geomech., 21, 789–816.
Lewis, R. W., and Sukirman, Y. (1993a). “Finite element modeling of three-phase flow in deforming saturated oil reservoirs.” Int. J. Numer. Analyt. Meth. Geomech., 17, 577–598.
Lewis, R. W., and Sukirman, Y. (1993b). “Finite element modeling for simulating the surface subsidence above a compacting hydrocarbon reservoir.” Int. J. Numer. Analyt. Meth. Geomech., 18, 619–639.
Li, X., Zienkiewicz, O. C., and Xie, Y. M. (1990). “A numerical model for immiscible two-phase fluid flow in a porous medium and its time domain solution.” Int. J. Numer. Methods Eng., 30, 1195–1212.
Masters, I., Pao, W. K. S., and Lewis, R. W. (2000). “Coupling temperature to a double-porosity model of deformable porous media.” Int. J. Numer. Methods Eng., 49, 421–438.
Nair, R. (2003). “The poromechanics of naturally fractured rock formations: A finite element approach.” PhD dissertation, The Univ. of Oklahoma, Stillwater, Okla.
Nair, R., Bai, M., Abousleiman, Y., and Zaman, M. M. (2000). “Finite element modeling of an inclined wellbore in a fractured porous medium saturated with oil and gas.” Proc., 4th NAARMS, Seattle, 189–196.
Peaceman, D. W. (1977). Fundamentals of Numerical Reservoir Simulation: Developments in Petroleum Sciences 6, Elsevier, New York.
Schrefler, B. A., and Zhan, X. (1993). “A fully coupled model for water flow and airflow in deformable porous media.” Water Resour. Res., 29(1), 155–167.
Warren, J. E., and Root, P. J. (1963). “The behavior of naturally fractured reservoirs.” SPEJ, Paper No. 426, 245–255.
Wilson, R. K., and Aifantis, E. C. (1982). “On the theory of consolidation with double porosity.” Int. J. Eng. Sci., 20(9), 1009–1035.
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Information
Published In
International Journal of Geomechanics
Volume 5 • Issue 4 • December 2005
Pages: 326 - 338
Copyright
© 2005 ASCE.
History
Received: Mar 9, 2004
Accepted: Jul 19, 2004
Published online: Dec 1, 2005
Published in print: Dec 2005
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