中文摘要：

与浸透的土壤存款的由一条半球的冲积山谷的三维的散布和飞机 P 波浪的衍射的一个分析解决方案被采用 Fourier-Bessel 系列扩大技术开发。不同于以前的研究，浸透的土壤存款与单相的有弹性的理论在被模仿，在这篇论文，他们为浸透的多孔的媒介，和一半与 Biot 的动态理论被模仿空间作为 asingle 阶段被假定橡皮媒介。更少的频率，发生角度 ofP 波浪和土壤的孔在半球的冲积山谷的表面排水量放大上扔的尺寸的效果被调查。数字结果证明一条浸透的半球的冲积山谷的存在在表面排水量放大上有许多影响。当与发生 ofP 波浪评估一条半球的冲积山谷的排水量回答时，与 Biot 的动态理论模仿土壤存款是更合理的。

英文摘要：

An analytical solution for the three-dimensional scattering and diffraction of plane P-waves by a hemispherical alluvial valley with saturated soil deposits is developed by employing Fourier-Bessel series expansion technique. Unlike previous studies, in which the saturated soil deposits were simulated with the single-phase elastic theory, in this paper, they are simulated with Biot＇s dynamic theory for saturated porous media, and the half space is assumed as a single-phase elastic medium. The effects of the dimensionless frequency, the incidence angle of P-wave and the porosity of soil deposits on the surface displacement magnifications of the hemispherical alluvial valley are investigated. Numerical results show that the existence of a saturated hemispherical alluvial valley has much influence on the surface displacement magnifications. It is more reasonable to simulate soil deposits with Biot＇s dynamic theory when evaluating the displacement responses of a hemispherical alluvial valley with an incidence of P-waves.