Analysis of Greens Function and Influence Function in Fluid Saturated Porous Medium Underlying a Inviscid Fluid Layer

Rajneesh Kumar, Sanjay Kumar, Aseem Miglani

Abstract

The article reports on a methodology to synthesize the response of Greens function and influence function in a fluid saturated porous half space underlying a inviscid fluid layer .Closed form solutions for displacements, stresses, pore pressure and acoustic pressure are obtained by applying the Laplace transform on time and Fourier transform on the space variables. Concentrated and distributed sources are taken to illustrate the utility of the approach. Numerical inversion technique has been applied to obtain the solutions in physical domain. Effect of pore pressure on displacement and stress components are shown graphically for a particular model. Some special case of interest has been deduced.