【摘要】 采用波函数展开方法给出圆弧型沉积盆地对平面ＳＨ波二维散射问题的封闭级数解答。利用外域型Ｇｒａｆ加法公式将解答归结为无穷代数方程组的求解。通过截断计算得到解答的数值结果，并通过连续条件的满足程度检验了截断计算的精度。将本文结果与已有的近似解析解进行比较，指出了近似解答的误差来源和适用范围。给出一些典型算例说明盆地深宽比对地震动的复杂作用。更多还原

【Abstract】 A closed-form solution of two- dimensional scattering of plane SHwaves by a cylindrical alluvial valley of circular- arc cross section in a half-space is studied using the wavefunctions expansion method. The solution is reduced to solving infinite linear algebraic equations using the Graf’s addition theorem in an approprite form. Numerical results of the solution are obtained by truncation of the infinite equations and accuracies of the truncation arechecked by the extent to which the numerical results fit the continuity condition. Comparision with the results obtained by Todorovska and Lee is made to show the difference betweenthe exact and the approximate analytical method. Complicated effects of the depth - to- width ratio of the alluvial valley on surface motion are shown by the numerical results fortypical cases.更多还原