Table of Contents
Journal of Computational Methods in Physics
Volume 2014, Article ID 108713, 14 pages
http://dx.doi.org/10.1155/2014/108713
Research Article

Finite-Difference Simulation of Elastic Wave with Separation in Pure P- and S-Modes

Exploration and Development Research Institute of Daqing Oilfield Company Limited, Daqing, Heilongjiang 163712, China

Received 19 January 2014; Revised 15 April 2014; Accepted 15 April 2014; Published 18 May 2014

Academic Editor: Ivan D. Rukhlenko

Copyright © 2014 Ke-Yang Chen. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Elastic wave equation simulation offers a way to study the wave propagation when creating seismic data. We implement an equivalent dual elastic wave separation equation to simulate the velocity, pressure, divergence, and curl fields in pure P- and S-modes, and apply it in full elastic wave numerical simulation. We give the complete derivations of explicit high-order staggered-grid finite-difference operators, stability condition, dispersion relation, and perfectly matched layer (PML) absorbing boundary condition, and present the resulting discretized formulas for the proposed elastic wave equation. The final numerical results of pure P- and S-modes are completely separated. Storage and computing time requirements are strongly reduced compared to the previous works. Numerical testing is used further to demonstrate the performance of the presented method.