Poromechanics Response of Inclined Wellbore Geometry in Fractured Porous Media
Publication: Journal of Engineering Mechanics
Volume 131, Issue 11
Abstract
This paper presents the poromechanics/poroelastic analytical solution for stress and pore pressure fields induced by the action of drilling and/or the pressurization of an inclined/horizontal wellbore in fractured fluid-saturated porous media, or naturally fractured fluid-saturated rock formations. The model which is developed within the framework of the coupled processes in the dual-porosity/dual-permeability approach accounts for coupled isothermal fluid flow and rock/fractures deformation. The solution to the inclined/horizontal wellbore problem is derived for a wellbore drilled in an infinite naturally fractured poroelastic medium, subjected to three-dimensional in situ state of stress and pore pressure. The dual-porosity analytical solution is first reduced to the limiting single-porosity case and verified against an existing single-porosity solution. A comparison between single-porosity and dual-porosity poroelastic results is conducted and displayed in this work. Finally, wellbore stability analyses have been carried out to demonstrate possible applications of the solution.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgment
The work is supported by the PoroMechanics Institute Industrial Consortium at the University of Oklahoma.
References
Abousleiman, Y., Cheng, A. H.-D., Jiang, C., and Roegiers, J. C. (1996). “Poroviscoelasticity analysis of borehole and cylinder problems.” Acta Mech., 119, 199–219.
Abousleiman, Y., and Cui, L. (1998). “Poroelastic solutions in transversely isotropic media for wellbore and cylinder.” Int. J. Solids Struct., 35, 4905–4929.
Aifantis, E. C. (1977). “Introducing a multi-porous medium.” Developments Mechanics, 8, 209–211.
Aifantis, E. C. (1979). “On the response of fissured rocks.” Developments Mechanics, 10, 249–253.
Bai, M., Abousleiman, Y., Cui, L., and Zhang, J. (1999). “Dual porosity poroelastic modeling of generalized plane strain.” Int. J. Rock Mech. Min. Sci., 36, 1087–1094.
Barenblatt, G. I., Zheltov, I. P., and Kochina, I. N. (1960). “Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks.” Prikl. Mat. Mekh., 24(5), 852–864.
Bear, J. (1972). Dynamics of fluids in porous media, 3rd Ed., Elsevier, New York.
Berryman, J. G., and Wang, H. F. (1995). “The elastic coefficients of double-porosity models for fluid transport in jointed rock.” J. Geophys. Res., 100(812), 24611–24627.
Biot, M. A. (1941). “General theory of three dimensional consolidation.” J. Appl. Phys., 12, 155–164.
Bowen, R. M. (1976). “Theory of mixtures.” Continuum physics, A. C. Eringen, ed., Vol. III, Academic, New York, 1–127.
Bradley, W. B. (1979). “Failure of inclined boreholes.” J. Energy Resour. Technol., 101, 232–239.
Carter, J. P., and Booker, J. R. (1982). “Elastic consolidation around a deep circular tunnel.” Int. J. Solids Struct., 18(12), 1059–1074.
Cheng, A. H.-D. (1998). “On generalized plane strain poroelasticity.” Int. J. Rock Mech. Min. Sci., 35, 199–205.
Cheng, A. H.-D., Sidauruk, P., and Abousleiman, Y. (1994). “Approximate inversion of the Laplace transform.” Mathematika, 4(2), 76–82.
Cui, L., Cheng, A. H.-D., and Abousleiman, Y. (1997). “Poroelastic solution for an inclined borehole.” J. Appl. Mech., 64, 32–38.
Jaeger, J. S., and Cook, N. G. W. (1979). Fundamentals of rock mechanics, 3rd Ed., Chapman and Hall, New York.
Li, X. (2003). “Consolidation around a borehole in a media with double porosity under release of geostatic stresses.” Mech. Res. Commun., 30, 95–100.
Morland, L. W. (1972). “A simple constitutive theory for a fluid-saturated porous solid.” J. Geophys. Res., 77(5), 890–900.
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.” Pacific Rocks 2000, Proc., 4th NAARMS, Seattle, J. Girard, M. Leibman, C. Breeds, and T. Doe, eds., Balkema, Rotterdam, The Netherlands, 189–196.
Saada, A. (1974). Elasticity: Theory and applications, Pergamon, New York.
Stehfesh, H. (1970). “Numerical inversion of Laplace transforms.” Commun. ACM, 13, 47–49.
Valliappan, S., and Khalili-Naghadeh, N. (1990). “Flow through fissured porous media with deformable matrix.” Int. J. Numer. Methods Eng., 29, 1079–1094.
Wang, H. (2000). Theory of poroelasticity with applications to geomechanics and hydrology, Princeton University Press, Princeton, N.J.
Warren, J. E., and Root, P. J. (1963). “The behavior of naturally fractured reservoirs.” SPE J., 228, 245–255.
Wilson, R. K., and Aifantis, E. C. (1982). “On the theory of consolidation with double porosity.” Int. J. Eng. Sci., 20, 1009–1035.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 131 • Issue 11 • November 2005
Pages: 1170 - 1183
Copyright
© 2005 ASCE.
History
Received: Aug 11, 2003
Accepted: Jan 31, 2005
Published online: Nov 1, 2005
Published in print: Nov 2005
Notes
Note. Associate Editor: Alexander H.-D. Cheng
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.