In this paper, a new continuum approach for the coupled hydromechanical analysis of fractured porous media is proposed. The methodology for describing the hydraulic characteristics invokes an enriched form of Darcy's law formulated in the presence of an embedded discontinuity. The constitutive relations governing the hydromechanical response are derived by averaging the fluid pressure gradient and the discontinuous displacement fields over a selected referential volume of the material, subject to some physical constraints. The framework incorporates an internal length scale which is explicitly embedded in the definition of gradient operators. The respective field equations are derived following the general form of balance equations in interacting continua. The conventional finite element method is then employed for the spatial discretization, and the generalized Newmark scheme is used for the temporal discretization. The proposed methodology is verified by some numerical examples dealing with a steady‐state flow through fractured media as well as a time‐dependent consolidation in the presence of a discontinuity.

中文翻译：

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嵌入式不连续性方法用于压裂多孔介质的耦合流体力学分析

本文提出了一种新的连续介质方法，用于压裂多孔介质的流体力学耦合分析。描述水力特性的方法调用了存在嵌入式不连续性时制定的达西定律的丰富形式。流体力学响应的本构关系是通过在一定的物理约束条件下，对材料的选定参考体积上的流体压力梯度和不连续位移场求平均而得出的。该框架包含一个内部长度刻度，该长度刻度明确嵌入了梯度算符的定义中。遵循相互作用连续体中平衡方程的一般形式，得出各个场方程。然后，将传统的有限元方法用于空间离散化，广义Newmark方案用于时间离散化。通过一些数值实例验证了所提出的方法，该实例涉及通过裂隙介质的稳态流动以及在不连续的情况下与时间有关的固结。