A continuum theory of porous media saturated by multiple immiscible fluids: I. Linear poroelasticity
A continuum theory of porous media saturated by multiple immiscible fluids: I. Linear poroelasticity
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DOI：
10.1016/s0020-7225(02)00068-x
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发表时间：
2002-09
影响因子：
6.6
通讯作者：
Changfu Wei;K. Muraleetharan
中科院分区：
文献类型：
--
作者：
Changfu Wei;K. Muraleetharan
多孔介质的力学行为在很大程度上取决于共存组分之间的相互作用。这些交互通过接口发生。本文提出了一种多相多孔介质的连续介质理论，它可以用来描述各组分之间的相互作用。该理论的核心是实施的动态相容性条件微观上表示的压力跨越接口跳跃的约束。结果表明，毛细松弛过程与流体体积分数的变化密切相关。一个线性模型是由一个正式的线性化所提出的理论。对于完全饱和的条件下，线性化的理论减少到毕奥的孔隙弹性模型。提出了一种求解双流体多孔介质材料常数的方法。利用线性模型分析了声波在非饱和岩石中的传播。理论结果与文献中的实验数据进行了比较。
The mechanical behavior of porous media is largely governed by the interactions among coexisting components. These interactions occur through interfaces. In this paper, a continuum theory of multiphase porous media is developed that can be used to characterize the interactions among various components. Central to the theory is the implementation of the dynamic compatibility conditions microscopically representing the constraints on the pressure jumps across the interfaces. It is shown that capillary relaxation processes are thermodynamically associated with the changes in the volume fractions of fluids. A linear model is developed by a formal linearization of the proposed theory. For fully saturated conditions, the linearized theory reduces to the Biot's poroelasticity model. A procedure to evaluate the material constants is presented for the porous media with two fluids. The linear model is utilized to analyze the propagation of acoustic waves in an unsaturated rock. The theoretical results are compared with the experimental data available in the literature.