The emergence of new types of composite materials,the depletion of existing hydrocarbon deposits,and the increase in the speed of trains require the development of new research methods based on wave scattering.Therefo...The emergence of new types of composite materials,the depletion of existing hydrocarbon deposits,and the increase in the speed of trains require the development of new research methods based on wave scattering.Therefore,it is necessary to determine the laws of wave scattering in inhomogeneous media.We propose a method that combines the advantages of a numerical simulation with an analytical study of the boundary value problem of elastic and acoustic wave equations.In this letter we present the results of the study using the proposed method:the formation of a response from a shear wave in an acoustic medium and the formation of shear waves when a vertically incident longitudinal wave is scattered by a vertical gas-filled fracture.We have obtained a number of analytical expressions characterising the scattering of these wave types.展开更多
基金Moscow Institute of Physics and Technology and supported by the Russian Science Foundation(Grant 19-11-00023).
文摘The emergence of new types of composite materials,the depletion of existing hydrocarbon deposits,and the increase in the speed of trains require the development of new research methods based on wave scattering.Therefore,it is necessary to determine the laws of wave scattering in inhomogeneous media.We propose a method that combines the advantages of a numerical simulation with an analytical study of the boundary value problem of elastic and acoustic wave equations.In this letter we present the results of the study using the proposed method:the formation of a response from a shear wave in an acoustic medium and the formation of shear waves when a vertically incident longitudinal wave is scattered by a vertical gas-filled fracture.We have obtained a number of analytical expressions characterising the scattering of these wave types.
