A new discrete fracture model is introduced to simulate the steady‐state fluid flow in discontinuous porous media. The formulation uses a multi‐layered approach to capture the effect of both longitudinal and transverse permeability of the discontinuities in the pressure distribution. The formulation allows the independent discretisation of mesh and discontinuities, which do not need to conform. Given that the formulation is developed at the element level, no additional degrees of freedom or special integration procedures are required for coupling the non‐conforming meshes. The proposed model is shown to be reliable regardless of the permeability of the discontinuity being higher or lower than the surrounding domain. Four numerical examples of increasing complexity are solved to demonstrate the efficiency and accuracy of the new technique when compared with results available in the literature. Results show that the proposed method can simulate the fluid pressure distribution in fractured porous media. Furthermore, a sensitivity analysis demonstrated the stability regarding the condition number for wide range values of the coupling parameter.

中文翻译：

---

具有不匹配网格的多孔多孔介质中的横向和纵向流体流动模型

引入了新的离散裂缝模型来模拟不连续多孔介质中的稳态流体流动。该公式使用多层方法来捕获压力分布中不连续处的纵向和横向渗透率的影响。该公式允许对网格和不连续点进行独立离散化，而无需离散化。假设公式是在单元级别开发的，则不需要额外的自由度或特殊的集成程序即可耦合不合格的网格。无论不连续性的渗透率高于还是低于周围域，所提出的模型均显示出可靠性。解决了四个数值示例，这些示例增加了复杂度，以与文献中提供的结果进行比较以证明新技术的效率和准确性。结果表明，该方法可以模拟裂隙多孔介质中的流体压力分布。此外，敏感性分析表明，对于耦合参数的宽范围值，条件编号具有稳定性。