Conclusions
A porothermoelastic theory for saturated porous elastic materials has been presented. Constitutive equations for the most general case were presented and specializations for orthotropy, transverse isotropy, and isotropy were carried out to identify the material constants required to define the system. Although theoretical developments have accomplished development of governing equations to describe behaviors of anisotropic poroelastic materials under non-isothermal conditions, the experimental research is still lacking in measurement of these fundamental constants. The solution for an inclined borehole in a transversely isotropic poroelastic formation subject to a temperature gradient via difference in borehole fluid and formation temperature has been presented. Although the solution is limited for the case where the isotropic plane is perpendicular to the borehole axis, it is still a unique solution in transversely isotropic porothermoelasticity and can serve as a benchmark for validating numerical codes.
On leave from the Lebanese American University, Byblos, Lebanon
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References
Biot, M. A. General theory of three-dimensional consolidation, J. Appl. Phys., 12, 155–164, 1941.
Rice, J. R. and Cleary, M. P. Some basic stress diffusion solutions for fluidsaturated elastic porous media with compressible constituents, Reviews of Geophysics and Space Physics, 14, 227–241, 1976.
Biot, M. A. Theory of Elasticity and consolidation of a porous anisotropic solid, J. Appl. Phys., 26, 182–185, 1955.
Thompson, M. and Willis, J. R. A reformulation of the equations of anisotropic poroelasticity, J. Appl. Mech., ASME, 58, 612–616, 1991.
Cheng, A. H-D. Material coefficients of anisotropic poroelasticity, Int. J. Rock Mech. Min. Sci., 34, 199–205, 1997.
Abousleiman, Y., Cheng, A. H-D., Cui, L., Detournay, E. and Roegiers, J.-C. Mandel’s problem revisited, Geotechnique, 46, 187–195, 1996.
Abousleiman, Y. and Cui, L. Poroelastic solutions in transversely isotropic media for wellbore and cylinder, Int. J. Solids Structures, 35, 4905–4929, 1998.
Coussy. O. Mechanics of Porous Continua, John Wiley and Sons, New York, 1995.
Aoki, T., Tan, C. P., and Bamford, W. E. Effects of elastic and strength anisotropy on borehole failures in saturated rocks, Int. J. Rock Mech. Min. Sci., 30, 1031–1034, 1993.
Charlez, P. A., and Heugas, O. Measurement of thermoporoelastic properties of rocks: theory and applications, ISRM Symp: Eurock’ 92, Rock Characterization, ed. J. A. Hudson, 42–46, 1992.
Berchenko, I., Detournay, E., Chandler, N., Martino, J., and Kozak, E. In-situ measurement of some thermoporoelastic parameters of a granite, In Poromechanics, A Tribute to Maurice A. Biot, Proc. Biot Conf. on Poromechanics, Louvain-La-Neuve, Balkema, Rotterdam, 545–550, 1998.
Cui, L., Cheng, A. H.-D., and Abousleiman, Y. Poroelastic solution of an inclined borehole, J. Appl. Mech., ASME, 64, 32–38, 1997.
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Abousleiman, Y., Ekbote, S. (2001). Porothermoelasticity in Transversely Isotropic Porous Materials. In: Ehlers, W. (eds) IUTAM Symposium on Theoretical and Numerical Methods in Continuum Mechanics of Porous Materials. Solid Mechanics and Its Applications, vol 87. Springer, Dordrecht. https://doi.org/10.1007/0-306-46953-7_21
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DOI: https://doi.org/10.1007/0-306-46953-7_21
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