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从轴对称固结基本方程出发,通过对时间t、坐标r的Laplace-Hankel变换,再对坐标z的Laplace变换,得到三元一次方程组,解此方程组,并进行Laplace逆变换,得到了单层可压缩渗透各向异性岩基轴对称固结问题的传递矩阵,然后利用传递矩阵法,结合层间连续性条件和边界条件,得到了多层可压缩渗透各向异性岩基轴对称固结问题在积分变换域内的解。最后应用Laplace-Hankel逆变换技术得到轴对称固结问题在物理域内的理论解。编制了相应的计算程序,并进行了数值计算与分析,讨论了可压缩性和渗透各向异性对岩基固结的影响,结果表明:可压缩性越大,岩基瞬时沉降越大;渗透各向异性对固结过程影响明显,但对初始和最终沉降的影响很小。
Based on the basic equations of axial symmetry consolidation, the Laplace-Hankel transformation of time t, the coordinate r, and the Laplace transformation of coordinate z are given to obtain the ternary equation system. The system is solved and the inverse Laplace transform is used to obtain the The transfer matrix of axisymmetric consolidation of single-layer compressible and permeable anisotropic rock mass is obtained. Then by using the transfer matrix method and combining with the interlayer continuity and boundary conditions, the axial symmetry of multi-layer compressible anisotropic rock mass is obtained Solution of Problem in Integral Transformation Domain. Finally, the Laplace-Hankel inverse transform technique is used to obtain the theoretical solution of the axisymmetric consolidation problem in the physical domain. The corresponding calculation program is compiled, and numerical calculation and analysis are carried out. The influence of compressibility and anisotropy on rock consolidation is discussed. The results show that the larger the compressibility is, the larger the instantaneous settlement of rock foundation is. Anisotropy has a significant effect on the consolidation process, but it has little effect on initial and final settlement.