X. Zhu and G. A. McMechan, “Finite difference Modeling of the seismic Response of fluid Saturated, Porous, Elastic Solid Using Biot Theory,” Geophysics, Vol. 56, No. 4, 1991, pp. 424-435.

has been cited by the following article:

• TITLE: Modeling of Surface Waves in a Fluid Saturated Poro-Elastic Medium under Initial Stress Using Time-Space Domain Higher Order Finite Difference Method

  AUTHORS: Anjana P. Ghorai, R. Tiwary

  KEYWORDS: Love Waves; Fluid Saturated Initially Stressed Porous Layer; Time-Space Domain; Finite Difference Scheme; Accuracy; Dispersion Analysis; Phase Velocity

  JOURNAL NAME: Applied Mathematics, Vol.4 No.3, March 21, 2013

  ABSTRACT: In this present context, mathematical modeling of the propagation of surface waves in a fluid saturated poro-elastic medium under the influence of initial stress has been considered using time dependent higher order finite difference method (FDM). We have proved that the accuracy of this finite-difference scheme is 2M when we use 2nd order time domain finite-difference and 2M-th order space domain finite-difference. It also has been shown that the dispersion curves of Love waves are less dispersed for higher order FDM than of lower order FDM. The effect of initial stress, porosity and anisotropy of the layer in the propagation of Love waves has been studied here. The numerical results have been shown graphically. As a particular case, the phase velocity in a non porous elastic solid layer derived in this paper is in perfect agreement with that of Liu et al. (2009).