杨喆, 李伟华, 朱赛男. 非饱和多孔介质浅埋洞室对P波的散射特性研究[J]. 岩土工程学报. DOI: 10.11779/CJGE20250123
    引用本文: 杨喆, 李伟华, 朱赛男. 非饱和多孔介质浅埋洞室对P波的散射特性研究[J]. 岩土工程学报. DOI: 10.11779/CJGE20250123
    Study on the scattering characteristics of P-waves by shallow buried cavities in unsaturated porous media[J]. Chinese Journal of Geotechnical Engineering. DOI: 10.11779/CJGE20250123
    Citation: Study on the scattering characteristics of P-waves by shallow buried cavities in unsaturated porous media[J]. Chinese Journal of Geotechnical Engineering. DOI: 10.11779/CJGE20250123

    非饱和多孔介质浅埋洞室对P波的散射特性研究

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

    • 摘要: 本文基于波函数展开法和Hankel函数积分变换法,推导得到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。主要贡献在于借助Hankel函数积分变换法有效处理半空间表面与洞室表面边界条件的正交性问题,进而精确求得非饱和多孔介质半空间表面位移和洞室周围应力的解析解。深入研究了介质的饱和度,入射波的角度、频率,洞室埋深对地表位移及洞周应力的影响,为相关领域的解析研究与工程应用提供了重要的理论支撑。

       

      Abstract: This study derives the analytical solution for the scattering of plane waves by a cylindrical cavity in a semi-infinite unsaturated porous medium using the wave function expansion method and the Hankel function integral transform method. The primary contribution lies in effectively addressing the orthogonality of boundary conditions at the semi-space surface and the cavity surface with the aid of the Hankel function integral transform method. This enables precise determination of the analytical solutions for surface displacement of the semi-infinite unsaturated porous medium and stress around the cavity. The study thoroughly investigates the effects of medium saturation, incident wave angle, frequency, and cavity burial depth on surface displacement and stress around the cavity. It provides significant theoretical support for analytical research and engineering applications in related fields.

       

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