Research Article Open Access

SH Waves Diffusion in Fluid-Saturated Medium

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

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.

Journal of Mathematics and Statistics
Volume 6 No. 3, 2010, 205-209

DOI: https://doi.org/10.3844/jmssp.2010.205.209

Submitted On: 3 May 2010 Published On: 30 September 2010

How to Cite: Ling, C. D., Faisal, S. Y. & Zainal, A. A. (2010). SH Waves Diffusion in Fluid-Saturated Medium. Journal of Mathematics and Statistics, 6(3), 205-209. https://doi.org/10.3844/jmssp.2010.205.209

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Keywords

  • Diffusion
  • attenuation
  • shock waves
  • diffraction