he analytcal method is used for the problem of seattering of plane SH-waves bymultiple shallow circur-are cangons. The solution of multiple scattering of plane SH-wares is first expressed as the sum of series of solu...he analytcal method is used for the problem of seattering of plane SH-waves bymultiple shallow circur-are cangons. The solution of multiple scattering of plane SH-wares is first expressed as the sum of series of solutions im each of local coordinatesusing separation of variadles and is then converted into the form of dual infinite seriesof a local coordinate system by Graf’s addition formula suitable for the interior and exterior problems. The solution of the problem is finally reduced to solving a set of infinite algbraic dquations :Numerical results of scattering influence on the motion on the earth surace are presented for the two adjacent shallow circular- arc canyons with the same diameter and variable depth- to- width ratio ,and the effect of screening and interaction between canyons are discussed in the paper.展开更多
文摘he analytcal method is used for the problem of seattering of plane SH-waves bymultiple shallow circur-are cangons. The solution of multiple scattering of plane SH-wares is first expressed as the sum of series of solutions im each of local coordinatesusing separation of variadles and is then converted into the form of dual infinite seriesof a local coordinate system by Graf’s addition formula suitable for the interior and exterior problems. The solution of the problem is finally reduced to solving a set of infinite algbraic dquations :Numerical results of scattering influence on the motion on the earth surace are presented for the two adjacent shallow circular- arc canyons with the same diameter and variable depth- to- width ratio ,and the effect of screening and interaction between canyons are discussed in the paper.
