Geosciences Research

Download PDF (981.3 KB) PP. 242 - 253 Pub. Date: November 1, 2017

DOI: 10.22606/gr.2017.24004

• Baljeet Singh^*
  Department of Mathematics, Post Graduate Government College, Sector-11, Chandigarh - 160 011, India

In the present work, a problem on the reflection of elastic waves at a plane surface of an elastic half-space is considered. The elastic half-space is assumed homogeneous and isotropic. The plane surface of half-space is subjected to impedance boundary conditions, where normal and tangential tractions are proportional to normal and tangential displacement times frequency, respectively. The reflection coefficients of reflected P and SV are obtained in closed form for incidence of P or SV waves. These reflection coefficients depend on the angle of incidence, impedance parameters and other material parameters. The material parameters of Diabase (dark-colored igneous rock), Limestone (sedimentary rock) and Gneiss (high grade metamorphic rock) are chosen to compute the reflection coefficients for certain ranges of angle of incidence and impedance parameters. The effect of impedance boundary on the reflection phenomena is shown graphically for three different rock materials (Diabase, Limestone and Gneiss).

Elastic half-space, Impedance boundary conditions, Elastic waves, Reflection coefficients.

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