Series solution for Scattering of Plane SH-Waves by Multiple Shallow Circular-Arc Canyons

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 coordinates using 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.