Dilatational and Compacting Behavior around a Cylindrical Cavern Leached Out in a Solid–Fluid Elastic Rock Salt
Publication: International Journal of Geomechanics
Volume 5, Issue 3
Abstract
A fluid-filled cylindrical cavern of circular cross section in a homogeneous infinite fluid-saturated polycristalline (salt) formation subjected to isotropic stress is set under internal pressure that differs from the confining pressure. The fluid in the cavern and in the mixture is treated as ideal and the solid as elastic. The state of stress that is established as a consequence of an outside pressure and a cavern pressure serves as the reference state. Perturbing the cavern pressure induces small changes in the solid and fluid densities and in the solid displacements. We compute these and other fields as functions of the radial distance from the cavern center and show that, depending on the relative stress levels, the (salt) formation experiences either a dilatation or a compaction that is highly concentrated in a thin boundary layer near the cavern wall and tapers off as one moves away from it. The amount of dilatation/compaction of the cylindrical wall and the thickness of the boundary layer grow with an increase in the difference between the referential confining pressure and the pressure in the cavern.
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Acknowledgment
This paper was written while the third writer was on sabbatical leave at the University of Rome, La Sapienza, the support of which is hereby acknowledged.
References
Cosenza, P., Ghoreychi, M., Bazargan-Sabet, B., and de Marsily, G. (1999). “In situ rock salt permeability measurement for long term safety assessment of storage.” Int. J. Rock Mech. Min. Sci., 36, 509–526.
Cristescu, N. D., and Hunsche, U. (1998). Time effects in rock mechanics, Wiley, Chichester, U.K.
dell’Isola, F., Guarascio, M., and Hutter, K. (2000). “A variational approach for the deformation of a saturated porous solid. A second gradient theory extending Terzaghi’s effective stress principle.”Arch. Appl. Mech., 70, 323–337.
Hutter, K., and Jöhnk, K. (2003). Continuous methods of physical mod-eling, Springer, Berlin.
Müller, I. (1985). Thermodynamics, Pittman, Boston.
Sciarra, G., Hutter, K., and Maugin, G. A. (2003). “A variational approach to a micro-structured theory of solid–fluid mixtures.” Arch. Appl. Mech., 73, 199–224.
Sciarra, G. (2002). “Modelling of a fluid flux through a solid deformable matrix.” PhD thesis, Università di Roma “La Sapienza” and Univer-sité de Toulon et du Var, Rome.
Sciarra, G., dell’Isola, F., and Hutter, K. (2001). “A solid–fluid mixture model allowing for solid dilatation under external pressure.” Contr. Cybernet., 13, 287–306.
Stormont, J. C. (1997). “In situ gas permeability measurements to delineate damage in rock salt.” Int. J. Rock Mech. Min. Sci., 34, 1055–1064.
Truesdell, C. (1957). “Sulle basi della termomeccanica. Nota I e II.” Lincei-Rend. Sc. fis. mat. e nat. XXII (in Italian).
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© 2005 ASCE.
History
Received: Mar 15, 2004
Accepted: Dec 9, 2004
Published online: Sep 1, 2005
Published in print: Sep 2005
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