Propagation and scattering of SH waves in non-homogeneous unsaturated half-space with a circular cavity

Abstract

An SH wave scattering problem in an inhomogeneous, unsaturated medium with a circular cavity is investigated. The material parameters are assumed to vary exponentially, and a thorough analysis of the basic solution of the SH wave governing equation in an inhomogeneous, unsaturated half-space is performed. The gradient coefficient is introduced to characterize the inhomogeneity of the medium. Drawing on the image method and coordinate transformation method leads to a further discussion of SH wave scattering and dynamic stress concentration in an inhomogeneous, unsaturated half-space with a circular cavity. The influence of the gradient coefficient and saturation on the dynamic stress concentration factor is discussed. The results of the present research can provide theoretical guidance for tunnel engineering and nondestructive evaluation of underground construction.