Torsional Surface Wave in Nonhomogeneous Anisotropic Medium and Fluid Saturated Poroelastic Medium under Initial Stress

• Main Authors: Yu-Liang Chen, 陳昱良
• Other Authors: Chau-Shioung Yeh
• Format: Others
• Language: zh-TW
• Published: 2012
• Online Access: http://ndltd.ncl.edu.tw/handle/63606866907697227227

碩士 === 國立臺灣大學 === 應用力學研究所 === 100 === It is well known that torsional surface wave cannot propagate in the homogeneous elastic half space. The present article studies the propagation of torsional surface wave in nonhomogeneous anisotropic medium and fluid saturated poroelastic medium under initial stress. In this article, we try to use Biot’s incremental deformation theory of elasticity and poroelastic theory analyzing the wave propagation problem. Firstly, we obtaine the governing equations from Biot’s theory. By solving the governing equations, we can obtain the displacement field. Taking the displacement field into the boundary condition ,we can get the velocity equation of torsional surface wave. The problem of this paper is divided into two parts. The first part is that propagation of torsional surface wave in nonhomogeneous anisotropic medium under initial stress; the second part is that propagation of torsional surface wave in fluid saturated poroelastic medium under initial stress. The results of the study show that torsional surface wave can propagate in nonhomogeneous anisotropic medium and fluid saturated poroelastic medium under initial stress. The presence of initial stress diminishes the velocity of torsional surface wave. The other factors also influence the velocity of torsional surface wave as non-homogeneity, anisotropy factor etc.