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根据饱和土Biot理论及孔洞边界特性,通过引入势函数,利用Betti互易定理,建立了半无限饱和土体中孔洞对波场散射问题的边界元积分方程,讨论了边界积分方程的奇异性,并分析了饱和土体特性及入射波场等对孔洞应力集中与孔压集中系数的影响效果。通过与已知文献结果比较,验证该文算法的正确性。数值结果表明:饱和土体中流、固耦合程度、压缩性、透水性等对波场散射有较大的影响:随饱和土体中流、固二相耦合程度增大,孔洞应力集中系数增大,孔洞的散射作用增强;随饱和土体压缩性减小,孔洞应力集中系数增大;而随饱和土体透水性降低,孔洞应力集中系数、孔压集中系数都增大。
Based on the Biot theory of saturated soil and the characteristics of the hole boundary, the boundary element integral equation of the cavity scattering in the semi-infinite saturated soil is established by introducing the potential function and the Betti reciprocity theorem. The singularity of the boundary integral equation is discussed. The effect of saturated soil characteristics and incident wave field on the hole stress concentration and hole pressure concentration coefficient is also analyzed. The correctness of the proposed algorithm is verified by comparison with the known results. The numerical results show that the degree of fluid-solid coupling, compressibility and water permeability in saturated soils have a great influence on the wave-field scattering. With the mid-flow of saturated soils, the degree of coupling between the two phases increases and the stress concentration coefficient increases. With the decrease of the compressibility of saturated soil, the stress concentration factor increases, while with the decrease of water permeability of saturated soil, the stress concentration factor and the pore pressure concentration factor increase.