By using wave function expansion method and image method

scattering of a salient and a circular cavity with SH wave in an elastic quarter space is analyzed to obtain the steady state solution. The elastic quarter space which contains a salient and a circular cavity is divided into two media

while medium I is a quarter spaces which contain a circular cavity and a semi-circular canyon

medium II is a circular domain. Conjunction condition is introduced to force displacements and stresses of two media continued on the divided bound. Specific expressions of constructed displacement wave in medium I and medium II are determined by employing stress free condition on cavity bound and conjunction condition by using wave function expansion method and Fourier series expansion method. Simultaneously

the analytical solution is presented by solving truncated linear algebraic equations of definite boundary conditions. Numerical results are calculated to describe distribution of dynamic stress around the circular cavity and amplitude of displacement along the horizontal surface

then

effects of salient

cavity and stress free bounds of the quarter space to scattering and seismic ground motion are quantified.