The Scattering Of SH Waves By Shallow Buried Hole Near A Triangular Hill Of Inhomogeneous Media

With the continuous exploration of scholars and the continuous development of science and technology in recent years,the research focus of the problem of elastic wave scattering has shifted from homogeneous medium to inhomogeneous medium.There are many references to the study of the ground motions of various topography caused by scattering of elastic waves in homogeneous medium,and the dynamic stress concentration in discontinuities such as inclusions and linings.However,there are few research results on the surface displacement of the hill caused by elastic waves in the inhomogeneous medium half space.In the actual engineering,the terrain of the inhomogeneous medium is generally prevalent,so it is necessary to study the ground motion caused by the elastic wave in the convex terrain of the inhomogeneous medium.In this paper,the idea of division is used to study the surface displacement caused by the SH wave incident on isosceles triangular hill with the density of heterogeneous and radial variety.Secondly,the surface displacement caused by the SH wave incident on the shallow buried circular inclusion topography directly below is studied.The wave field forms of incident wave,reflected wave,scattered wave and standing wave in the transformation space are obtained by separating variables and coordinate movement.The infinite algebraic equations are obtained by the continuous condition of displacement and stress,then the equations of odd and even terms are obtained by Fourier expansion and truncation of the finite terms.The function expressions of the surface displacement amplitudes of the horizontal plane and the isosceles triangle hill part are respectively given.Finally,a specific example is established and the displacement amplitude is calculated according to Fortran programming and the corresponding analysis is carried out according to the result.Since the circular hole belongs to a special form of inclusion,the shallow buried hole topography near the middle waist triangle bulge of the inhomogeneous medium is analyzed in a specific example.For the specific examples,the effects of the different inhomogeneous coefficients of the elastic wave incident,the different incident angles of the SH wave,the different incident wave numbers,the slope of the isosceles triangle hill,the depth and size of the shallow buried hole on the surface displacement amplitude are discussed.