Effect of shallow buried cavity on anti-plane motion of ground surface in anisotropic half-space

The scattering of steady-state horizontal shear wave (SH-wave) by arbitrary cavity in anisotropic half-space is investigated together with its effect on ground motion by using the complex variable function method.The scattered wave function stratifying the condition of the stress free on the horizontal surface of anisotropic-half space automatically is constructed in the transformed space.Based on the zero-stress boundary condition of the cavity surface,the coefficient of scattered wave function is solved by means of the least squares method.By simulating the geological condition of the media anisotropy,the ground surface displacement amplitudes of anisotropic half-space with circular cavity,elliptical cavity and quadrate cavity are illustrated numerically.The effect of ground motion on the media property,the cavity shape,buried depth,the wave number and incident angle of incident wave are analyzed.Numerical result shows the media anisotropy has great effects on the ground surface displacement of half-space with a cavity.The ground surface displacement amplitude caused by incident wave with a certain angle may be much greater than that of the isotropic media in a certain frequency range,and decreases with the increase of the cavity depth.