流体饱和半空间中埋置球面P1、P2和SV波源动力格林函数

发布时间：2018-04-28 23:13

本文选题：球面波源 + 流体饱和半空间　；参考：《工程力学》2016年05期

【摘要】：基于Biot流体饱和孔隙介质理论,采用Hankel积分变换方法,在频域内求解了流体饱和半空间中埋置球面P1、P2和SV波源的动力格林函数。首先由Hankel积分变换将空间域内球面波展开为波数域内柱面波的叠加;然后在半空间表面对称位置虚拟放置一同样大小的球面波源,这样对于球面膨胀波源(P1和P2波源),地表剪应力为零,但存在非零正应力和孔隙水压,对于球面剪切波源(SV波源),地表正应力和孔隙水压为零,但存在非零剪应力;最后叠加球面波源、虚拟波源和残余半空间表面应力产生的动力响应,即可求得流体饱和半空间中埋置球面波源波数域内的动力响应,空间域内埋置球面波源的动力格林影响函数则由Hankel逆变换求得。该文给出的球面波源动力格林函数,为建立以球面P1、P2和SV波动力格林函数为基本解的间接边界元方法,求解饱和多孔介质中三维轴对称弹性波散射问题奠定了基础。
[Abstract]:Based on the theory of Biot fluid saturated porous media and the Hankel integral transformation method, the dynamic Green's functions of buried spherical P1P _ 2 and SV wave sources in a fluid-saturated half-space are solved in frequency domain. Firstly, the spherical wave in the space domain is expanded by Hankel integral transform into the superposition of the cylindrical wave in the wavenumber domain, and then a spherical wave source of the same size is placed in the symmetrical position of the surface between the midair. For spherical expansion wave source P1 and P2 wave source, the surface shear stress is zero, but there is non-zero normal stress and pore water pressure. For spherical shear wave source SV source, the surface normal stress and pore water pressure are zero, but there is non-zero shear stress. Finally, the dynamic response of spherical wave source, virtual wave source and residual half-space surface stress can be obtained in the wavenumber domain of buried spherical wave source in fluid saturated half-space. The dynamic Green's influence function of buried spherical wave source in space domain is obtained by Hankel inverse transformation. In this paper, the source dynamic Green's function of spherical waves is presented, which lays a foundation for the establishment of an indirect boundary element method for solving the scattering problem of three-dimensional axisymmetric elastic waves in saturated porous media, which is based on the Green's functions of spherical P1P _ 2 and SV wave forces.
【作者单位】：天津大学土木工程系;滨海土木工程结构域安全教育部重点实验室;
【基金】：国家自然科学基金项目(51378348)
【分类号】：O357.3

【相似文献】