Fundamental solution for a layered porous half space subject to a vertical point force or a point fluid source
Fundamental solution for a layered porous half space subject to a vertical point force or a point fluid source
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DOI：
10.1007/s00466-004-0626-5
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发表时间：
2005-04
影响因子：
4.1
通讯作者：
Jian-Fei Lu;A. Hanyga
中科院分区：
文献类型：
--
作者：
Jian-Fei Lu;A. Hanyga
这一贡献的重点是发展了层状多孔半空间在点力或流体点源作用下的传输和反射矩阵(TRM)方法。应用Hankel变换和傅立叶变换，从固体骨架和孔隙流体的位势以及Biot理论的控制方程出发，导出了位移、应力和孔压的通解。利用一般解和界面处的连续性条件，得到了各界面的传输矩阵和反射矩阵。基于传输和反射矩阵(TRM)和边界条件以及点力或流体点源的源项，发展了层状多孔介质的TRM方法。利用本文提出的TRM方法，得到了点力和点流体源在频域和时间域的基本解。文中给出了一些数值算例。
The focus of this contribution is to develop a transmission and reflection matrices (TRM) method for a layered porous half-space subject to a point force or a fluid point source. Applying the Hankel and the Fourier transformation, the general solutions for the displacements, stresses and pore pressure are derived from the potentials for the solid skeleton and the pore fluid as well as the governing equations of Biot’s theory. The transmission and reflection matrices (TRM) for each interface are obtained by using the general solutions as well as the continuity conditions at the interface. The TRM method for the layered porous medium is developed on the basis of the transmission and reflection matrices (TRM) and the boundary conditions as well as the source terms for the point force or the fluid point source. The fundamental solutions of the point force and the point fluid source in both the frequency domain and the time domain are obtained by using the proposed TRM method. Some numerical examples are given in the paper.