TECHNICAL PAPERS
Oct 15, 2003

Poromechanics of Anisotropic Hollow Cylinders

Publication: Journal of Engineering Mechanics
Volume 129, Issue 11

Abstract

It has been known that inherent material anisotropy influences the mechanics of geoengineering applications. Aiming at the experimental studies associated with geoengineering applications in anisotropic materials, this paper proposes a poromechanics analysis of a fully saturated transversely isotropic hollow cylinder. Closed-form analytical solutions for the pore pressure and stress fields were derived. These solutions are obtained under various loading conditions that are encountered in laboratory testing procedures. Numerical analyses were carried out to demonstrate the material anisotropy effect on stress, displacement, and pore pressure distributions in the cylinder. It is also shown that uncertainties in the estimation or measurements of the poromechanical parameters have proven effects on the time-dependent responses of the hollow cylinder geometry during laboratory testing.

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References

Abousleiman, Y., and Cheng, A. H.-D. (1993). “Anisotropic poroelasticity with applications.” Rep. No. RMRC-93-19, Rock Mechanics Research Center, Univ. of Oklahoma, Norman, Okla., 36.
Abousleiman, Y., Cheng, A. H.-D., Cui, L., Detournay, E., and Roegiers, J.-C.(1996). “Mandel’s problem revisited.” Geotechnique, 46(2), 187–195.
Abousleiman, Y., and Cui, L.(1998). “Poroelastic solutions in transversely isotropic media for wellbore and cylinder.” Int. J. Solids Struct., 35(34-35), 4905-4927.
Abousleiman, Y., and Cui, L. (2000). “The theory of anisotropic poroelasticity with applications.” Modeling in geomechanics, M. Zaman, G. Gioda, and J. Booker, eds., Wiley, New York, 559–593.
Adams, F. D.(1912). “An experimental contribution to the question of the depth of the zone of flow in the earth’s crust.” J. Geol., 20(1), 97–118.
Aoki, T., Tan, C. P., and Bamford, W. E.(1993). “Effects of elastic and strength anisotropy on boreholes failures in saturated rocks.” Int. J. Rock Mech. Min. Sci. Geomech. Abstr., 30(7), 1031–1034.
Bailey, L., Denis, J. H., Goldsmith, G., Hall, P. L., and Sherwood, J. D.(1994). “A wellbore simulator for mud-shale interaction studies.” J. Pet. Sci. Eng., 11(3), 195–211.
Biot, M. A.(1955). “Theory of elasticity and consolidation of a porous anisotropic solid.” J. Appl. Phys., 26, 182–185.
Biot, M. A., and Willis, D. G.(1957). “The elastic coefficient of the theory of consolidation.” J. Appl. Mech., 24, 594–601.
Carslaw, H. S., and Jaeger, J. C. (1959). Conduction of heat in solids, 2nd Ed., Oxford Univ. Press (Clarendon), London.
Cheng, A. H.-D.(1997). “Material coefficients of anisotropic poroelasticity.” Int. J. Rock Mech. Min. Sci., 34(2), 199–205.
Cooling, L. F., and Smith, D. B.(1936). “The shearing resistance of soils.” J. Institution Civ. Eng., 3, 333–343.
Cryer, C.(1963). “A comparison of the three-dimensional consolidation theories of Biot and Terzaghi.” Q. J. Mech. Appl. Math., 16, 401–412.
Cui, L., and Abousleiman, Y.(2001). “Time-dependent poromechanical responses of saturated cylinders.” J. Eng. Mech., 127(4), 391–398.
Cui, L., Abousleiman, Y., Cheng, A. H.-D., Kaliakin, V. N., and Roegiers, J.-C.(1996a). “Finite element analyses of anisotropic poroelasticity: A generalized Mandel’s problem and an inclined borehole problem.” Int. J. Numer. Analyt. Meth. Geomech., 20(6), 381–401.
Cui, L., Abousleiman, Y., Cheng, A. H.-D., and Roegiers, J.-C. (1996b). “Anisotropic effect on one-dimensional consolidation.” Proc., 11th Engineering Mechanics Conf., Y. K. Lin and T. C. Su, eds., ASCE, Reston, Va., 1, 471–474.
Ewy, R. T., and Cook, N. G. W.(1990). “Deformation and fracture around cylindrical openings in rock. I: Observations and analysis of deformations.” Int. J. Rock Mech. Min. Sci. Geomech. Abstr., 27(5), 387–407.
Kanj, M., and Abousleiman, Y. (2002). “Porothermoelastic solutions of anisotropic hollow cylinders.” RMC Internal Research Rep., The PoroMechanics Institute, Univ. of Oklahoma, Norman, Okla.
Mandel, J.(1953). “Consolidation des Sols (Étude Mathématique).” Geotechnique, 3, 287–299.
Papamichos, E., Skjærstein, A., and Tronvoll, J. (2000). “A volumetric sand production experiment.” 4th North American Rock Mechanics Symp., Seattle, A.A. Balkema, Rotterdam, The Netherlands, 303–310.
Papamichos, E., and van den Hoek, P. J. (1995). “Size dependency of castlegate and berea sandstone hollow-cylinder strength on the basis of bifurcation theory.” Proc., 35th US Symp. on Rock Mechanics, Daemen and Schultz, eds., Reno, Nev., 301–306.
Savage, W. Z., and Braddock, W. A.(1991). “A model for hydrostatic consolidation of pierre shale.” Int. J. Rock Mech. Min. Sci. Geomech. Abstr., 28(5), 345–354.
Scott, T. E., and Abousleiman, Y. (2002). “Determination of the stress-induced dynamic moduli of a porous medium subjected to various deformational pathways.” Proc., 2nd Biot Conf. on Poromechanics, Grenoble, France, A.A. Balkema, Rotterdam, The Netherlands, 795–799.
Sherwood, J. D., and Bailey, L.(1994). “Swelling of shale around a cylindrical wellbore.” Proc. R. Soc. London, Ser. A, 444, 161–184.
Thompson, M., and Willis, J. R.(1991). “A reformulation of the equations of anisotropic poroelasticity.” J. Appl. Mech., 58, 612–616.

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Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 129Issue 11November 2003
Pages: 1277 - 1287

History

Received: Jun 24, 2002
Accepted: Mar 19, 2003
Published online: Oct 15, 2003
Published in print: Nov 2003

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Authors

Affiliations

Mazen Kanj
Sr. Research Associate, PoroMechanics Institute, Univ. of Oklahoma, Norman, OK 73019-1014; currently, Petroleum Engineer II, Saudi Aramco, P.O. Box 9892, Dhahran 31311, KSA.
Younane Abousleiman
Professor, School of Civil Engineering & Environment Sci./Mewbourne School Petroleum & Geological Engineering; Director, PoroMechanics Institute, Univ. of Oklahoma, Norman, OK 73019-1014.
Roger Ghanem
Professor Dept. Civil Engineering, Johns Hopkins Univ., Baltimore, MD 21218.

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