Ground Motion of two triangular hills and a semi-cylindrical canyon near a cavity

Abstract

Wave function expansion method is developed to study ground motion of two triangular hills and a semi-cylindrical canyon near embedded cavity by incident SH-waves. Firstly the analytical model is divided into 3 parts and the displacement fields in the three regions are constructed. Based on the “conjunction” condition at shared boundary, three districts are then conjoined. Combined with the free-stress condition of semi-cylindrical canyon, a series of infinite algebraic equations is obtained. Lastly, some numerical examples are provided to discuss mechanics law of ground motion impacted by different parameters.