Reflection of 𝑃 and SV waves at the free surface of a monoclinic elastic half-space

Journal of Earth system science

Sandhya Khurana1¹  Sarva Jit Singh1¹ 

[1] Department of Mathematics, Maharshi Dayanand University, Rohtak 124 001, India.$$

关键词: Anisotropic medium;    elastic waves;    monoclinic half-space;    reflection coefficients.;   

DOI  :  

学科分类：天文学(综合)

来源: Indian Academy of Sciences

【 摘 要 】

The propagation of plane waves in an anisotropic elastic medium possessing monoclinic symmetry is discussed. The expressions for the phase velocity of qP and qSV waves propagating in the plane of elastic symmetry are obtained in terms of the direction cosines of the propagation vector. It is shown that, in general, qP waves are not longitudinal and qSV waves are not transverse. Pure longitudinal and pure transverse waves can propagate only in certain specific directions. Closed-form expressions for the reflection coefficients of qP and qSV waves incident at the free surface of a homogeneous monoclinic elastic half-space are obtained. These expressions are used for studying numerically the variation of the reflection coefficients with the angle of incidence. The present analysis corrects some fundamental errors appearing in recent papers on the subject.

【 授权许可】

Unknown