Plane Strain Deformation of a Poroelastic Half-Space Lying Over Another Poroelastic Half-Space

Document Type: Research Paper

Authors

Department of Mathematics, Ch. Devi Lal University

Abstract

The plane strain deformation of an isotropic, homogeneous, poroelastic medium caused by an inclined line-load is studied using the Biot linearized theory for fluid saturated porous materials. The analytical expressions for the displacements and stresses in the medium are obtained by applying suitable boundary conditions. The solutions are obtained analytically for the limiting case of undrained conditions in high frequency limit. The undrained displacements, stresses and pore pressure in poroelastic medium are plotted and discussed to draw the conclusions.                                     

Keywords

[1] Biot M.A., 1941, General theory of three dimensional consolidation, Journal of Applied Physics 12:155-164.
[2] Biot M.A., 1956, General solutions of the equations of elasticity and consolidation for a porous material, Journal of Applied Mechanics 78:91-98.
[3] Kumar R., Ailawalia P., 2005, Moving inclined load at boundary surface, Applied Mathematics & Mechanics 26(4): 476-485.
[4] Kumar R., Rani L., 2005, Deformation due to inclined load in thermoelastic half-space with voids, Archive of Applied Mechanics 57:7-24.
[5] Kuo J.T., 1969, Static response of a multilayered medium under inclined surface loads, Journal of Geophysical Research 74: 3195-3207.
[6] Rani S., Singh S.J., 2007, Quasi-static deformation due to two-dimensional seismic sources embedded in an elastic half-space in welded contact with a poroelastic half-space, Journal of Earth System Science 116: 99-111.
[7] Roeloffs E.A., 1988, Fault stability changes induced beneath a reservoir with cyclic variations in water level, Journal of Geophysical Research 93:2107-2124.
[8] Rudnicki J.W., 1987, Plane strain dislocations in linear elastic diffusive solids, Journal of Applied Mechanics 54:545-552.
[9] Rudnicki J.W. Roeloffs E., 1990, Plane strain shear dislocations moving steadily in linear elastic diffusive solids, Journal of Applied Mechanics 57:32-39.
[10] Saada A.S., 1974, Elasticity-Theory and Application, Pergamon Press Inc, New York.
[11] Singh S.J., Rani S., 2006, Plane strain deformation of a multilayered poroelastic half-space by surface loads, Journal of Earth System Science 115: 685-694.
[12] Sharma K., 2011, Analysis of deformation due to inclined load in generalized thermodiffusive elastic medium, International Journal of Engineering Science and Technology 3 (2):117-129.
[13] Wang H.F., 2000, Theory of Linear Poroelasticity, Princeton Univercity Press, Princeton.