非饱和多孔介质浅埋洞室对平面P波散射特性的研究

    Study on scattering characteristics of plane P-waves by shallow-buried cavities in unsaturated porous media

    • 摘要: 基于波函数展开法与Hankel函数积分变换法,推导了非饱和多孔介质半空间中圆柱形洞室对平面波散射的解析解。通过引入Hankel积分变换,有效处理了半空间与洞室边界条件的正交性问题,精确求解了地表位移和洞周应力响应。系统分析了饱和度,入射角、频率及洞室埋深对波动响应的影响,为相关解析研究与工程应用提供理论支持。

       

      Abstract: This study derives an analytical solution for the scattering of plane waves from a cylindrical cavity in a half-space of unsaturated porous media, based on the wave function expansion method and the Hankel function integral transform. By introducing the Hankel transform, the orthogonality issue of boundary conditions at the half-space surface and cavity wall is effectively addressed, enabling accurate determination of surface displacements and cavity-induced stress responses. The effects of saturation, incident angle, frequency, and burial depth on wave propagation are systematically investigated, providing theoretical support for related analytical studies and engineering applications.

       

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