Ashayeri I, Kamalian M, K Jafari M, Biglari M, Mirmohammad Sadeghi M. Two-dimensional time domain fundamental solution to dynamic unsaturated poroelasticity. IJCE 2014; 12 (2) :110-133
URL:
http://ijce.iust.ac.ir/article-1-755-en.html
Abstract: (7702 Views)
This paper presents time domain fundamental solutions for the extended Biot's dynamic formulations of two-dimensional
(2D) unsaturated poroelasticity. Unsaturated porous media is considered as a porous media in which the voids are saturated
with two immiscible fluids, i.e. liquid and gas. At first, the corresponding explicit Laplace transform domain fundamental
solution is obtained in terms of skeleton displacements, as well as liquid and gas pressures. Subsequently, the closed-form time
domain fundamental solutions are derived by analytical inversion of the Laplace transform domain solutions. Finally, a set of
numerical results are presented which verifies the accuracy of the analytically inversed transient fundamental solution and
demonstrates some salient features of the elastic waves in unsaturated media..