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从孔隙弹性力学的基本方程出发,采用Laplace-Hankel积分变换技术,推导出流体可压缩渗透各向异性轴对称地基固结的广义位移量和广义应力量在变换域内的解析表达式;基于解析层元法理论,通过引入相关问题的边界条件和层间连续性条件,构建多层地基的总刚度矩阵并进行求解,对相应解答进行Laplace-Hankel逆变换,以获得其在物理域内的真实解。通过编制相应的程序进行数值计算,并与现有文献结果进行对比以验证本文理论及计算方法的正确性;计算结果表明:井点降水速率越快,地基表面沉降越大;在相同的时间因子下,流体的可压缩性可导致地基表面的固结沉降减小。
Based on the fundamental equations of elasticity of pores, the Laplace-Hankel integral transform technique is used to derive the analytical expressions of the generalized displacement and the generalized stress in the transformation domain of fluid-compressible anisotropic axially symmetric foundation consolidation. Based on the analytical layer Meta-theory, by introducing the boundary conditions and inter-layer continuity conditions of related problems, the total stiffness matrix of multi-layered soils is constructed and solved. Laplace-Hankel inverse transform is applied to the corresponding solutions to obtain its true solution in the physical domain. Comparing with the existing literature results to verify the correctness of the theoretical and computational methods; The results show that: the faster the well point precipitation rate, the greater the surface subsidence; the same time factor , The compressibility of the fluid can lead to a reduction in the consolidation settlement of the surface of the foundation.