艾智勇, 吴超. 2008: 考虑流体可压缩性的多层地基三维Biot固结求解. 工程地质学报, 16(S1): 403-406.
    引用本文: 艾智勇, 吴超. 2008: 考虑流体可压缩性的多层地基三维Biot固结求解. 工程地质学报, 16(S1): 403-406.
    AI Zhiyong, WU Chao. 2008: SOLUTIONS FOR THREE DIMENSIONAL BIOT'S CONSOLIDATION OF MULTILAYERED SOILS WITH COMPRESSIBLE CONSTITUENTS. JOURNAL OF ENGINEERING GEOLOGY, 16(S1): 403-406.
    Citation: AI Zhiyong, WU Chao. 2008: SOLUTIONS FOR THREE DIMENSIONAL BIOT'S CONSOLIDATION OF MULTILAYERED SOILS WITH COMPRESSIBLE CONSTITUENTS. JOURNAL OF ENGINEERING GEOLOGY, 16(S1): 403-406.

    考虑流体可压缩性的多层地基三维Biot固结求解

    SOLUTIONS FOR THREE DIMENSIONAL BIOT'S CONSOLIDATION OF MULTILAYERED SOILS WITH COMPRESSIBLE CONSTITUENTS

    • 摘要: 基于考虑流体可压缩性的三维Biot固结方程出发,通过引入位移函数、中间变量以及Laplace-Fourier变换,得到了6×6阶和2×2阶两组三维Biot固结问题的传递矩阵。运用传递矩阵法,并结合边界条件和连续条件,得到了考虑流体可压缩性的多层地基三维Biot固结问题在变换域内的解答。通过相应的逆变换,可得到该问题的真实解,并分析了流体可压缩性对地基固结的影响。

       

      Abstract: This paper presents the solutions for three dimensional Biot's consolidation problem of multilayered soils, and the compressibility of pore fluid is considered. Based on the equations of three dimensional Biot's consolidation with compressible constituents, by introducing displacement functions, intermediate variables and the Laplace-Fourier transform, two sets of transfer matrix of 6 order and 2 order are obtained. The solutions for three dimensional Biot's consolidation problem of multilayered soils with compressible constituents in the transform domain are obtained by using the transfer matrix method and combined with the continuity conditions and the boundary conditions. The actual solutions can be acquired by inverting the Laplace-Fourier transform. Corresponding program is carried out to analyze the influence of the compressibility of pore fluid on the consolidation behavior of the soils.

       

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