Journal of Mathematics and Statistics

SH Waves Diffusion in Fluid-Saturated Medium

C.C. Dennis Ling, S. Y. Faisal and A. A. Zainal

DOI : 10.3844/jmssp.2010.205.209

Journal of Mathematics and Statistics

Volume 6, Issue 3

Pages 205-209

Abstract

Problem statement: Characteristics of the seismic waves have been studied mainly the amplitudes, attenuation, frequency, porosity and the velocity of the waves. In this study, the SH-waves were studied for the diffusion which was related to the diffraction of SH-waves in the saturated medium. Approach: The elastic wave equation was being used to show the SH-waves. A comparison was made of the propagating SH-waves in the fluid-saturated mediums that were categorized into two distinct groups: Insoluble and soluble mediums. Results: The discussions on fluid density in the mediums showed that high density fluid promotes diffusive characteristic while low density fluid endorses non diffusive SH-wave. However, the diffraction had induced significant shock wave in the medium saturated with low density fluid. Conclusion: These results indicated that the linear seismic waves are able to transform into nonlinear waves.

Copyright

© 2010 C.C. Dennis Ling, S. Y. Faisal and A. A. Zainal. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.