Poromechanics of anisotropic hollow cylinders

Journal of Engineering Mechanics

Volumn 129, Issue 11, 2003, Pages 1277-1287

  Kanj, Mazen ^a   Abousleiman, Younane ^a,b   Ghanem, Roger ^c  

^a UNIVERSITY OF OKLAHOMA   (United States)

^b University of Oklahoma   (United States)

^c Johns Hopkins University   (United States)

Author keywords

Anisotropic materials; Cylinders; Poroelasticity; Porous media; Simulation models; Triaxial tests; Uncertainty analysis

Indexed keywords

ANISOTROPY; CYLINDERS (CONTAINERS); NUMERICAL ANALYSIS; PORE PRESSURE; POROSITY; PRESSURE DISTRIBUTION; STRESSES;

POROMECHANICS; STRESS FIELDS; TIME-DEPENDENT RESPONSES;

MECHANICAL ENGINEERING;

ANISOTROPY; CORE LOGGING; POROSITY; ROCK MECHANICS;

EID: 0344466656     PISSN: 07339399     EISSN: None     Source Type: Journal    
DOI: 10.1061/(ASCE)0733-9399(2003)129:11(1277)     Document Type: Article

References (25)

1. 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.
2. Abousleiman, Y., Cheng, A. H.-D., Cui, L., Detournay, E., and Roegiers, J.-C. (1996). "Mandel's problem revisited." Geotechnique, 46(2), 187-195.
3. 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.
4. 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.
5. 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.
6. 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.
7. 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.
8. Biot, M. A. (1955). "Theory of elasticity and consolidation of a porous anisotropic solid." J. Appl. Phys., 26, 182-185.
9. Biot, M. A., and Willis, D. G. (1957). "The elastic coefficient of the theory of consolidation." J. Appl. Mech., 24, 594-601.
10. Carslaw, H. S., and Jaeger, J. C. (1959). Conduction of heat in solids, 2nd Ed., Oxford Univ. Press (Clarendon), London.
11. Cheng, A. H.-D. (1997). "Material coefficients of anisotropic poroelasticity." Int. J. Rock Mech. Min. Sci., 34(2), 199-205.
12. Cooling, L. F., and Smith, D. B. (1936). "The shearing resistance of soils." J. Institution Civ. Eng., 3, 333-343.
13. Cryer, C. (1963). "A comparison of the three-dimensional consolidation theories of Biot and Terzaghi." Q. J. Mech. Appl. Math., 16, 401-412.
14. Cui, L., and Abousleiman, Y. (2001). "Time-dependent poromechanical responses of saturated cylinders." J. Eng. Mech., 127(4), 391-398.
15. 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.
16. 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.
17. 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.
18. Kanj, M., and Abousleiman, Y. (2002). "Porothermoelastic solutions of anisotropic hollow cylinders." RMC Internal Research Rep., The PoroMechanics Institute, Univ. of Oklahoma, Norman, Okla.
19. Mandel, J. (1953). "Consolidation des Sols (Étude Mathématique)." Geotechnique, 3, 287-299.
20. 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.
21. 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.
22. 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.
23. 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.
24. Sherwood, J. D., and Bailey, L. (1994). "Swelling of shale around a cylindrical wellbore." Proc. R. Soc. London, Ser. A, 444, 161-184.
25. Thompson, M., and Willis, J. R. (1991). "A reformulation of the equations of anisotropic poroelasticity." J. Appl. Mech., 58,