Exact solution for the 1D transient response of saturated single-layer poroviscoelastic media
Exact solution for the 1D transient response of saturated single-layer poroviscoelastic media
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DOI：
10.1016/j.compgeo.2014.03.009
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发表时间：
2014-06
影响因子：
5.3
通讯作者：
Zhendong Shan;L. Jing;D. Ling;H. Ding
中科院分区：
文献类型：
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作者：
Zhendong Shan;L. Jing;D. Ling;H. Ding
对Biot提出的饱和多孔介质的基本方程进行了修正，用Kelvin-Voigt模型代替了经典的固体骨架线弹性模型。因此，新理论可以考虑固体骨架的粘弹性效应。在建立适当的边界和初始条件后，利用有限傅里叶变换和相应的解析反变换，得到了饱和单层多孔粘弹性介质瞬态响应的时域序列解。通过数值算例验证了精确解的有效性，并探讨了黏度系数、渗透系数和加载频率对饱和单层多孔粘弹性介质瞬态响应的影响。
The basic equations for fluid-saturated porous media proposed by Biot are modified by replacing the classical linear elastic model of the solid skeleton with the Kelvin–Voigt model. Thus, the new theory can take into account the viscoelastic effect of the solid skeleton. After the establishment of appropriate boundary and initial conditions, a time-domain series solution for the transient response of a fluid-saturated single-layer poroviscoelastic medium is obtained by using the finite Fourier transform and the corresponding analytical inverse transform. Several numerical examples are provided to illustrate the validity of the exact solution and to investigate the influence of the viscosity coefficient, permeability coefficient, and load frequency on the transient response of a fluid-saturated single-layer poroviscoelastic medium.