The box method discrete fracture model (Box-DFM) is an important finite volume-based discrete fracture model (DFM) to simulate flows in fractured porous media. In this paper, we investigate a simple but effective extension of the box method discrete fracture model to include low-permeable barriers. The method remains identical to the traditional Box-DFM [41, 48] in the absence of barriers. The inclusion of barriers requires only minimal additional degrees of freedom to accommodate pressure discontinuities and necessitates minor modifications to the original coding framework of the Box-DFM. We use extensive numerical tests on published benchmark problems and comparison with existing finite volume DFMs to demonstrate the validity and performance of the method.
翻译:盒方法离散裂缝模型(Box-DFM)是基于有限体积法的离散裂缝模型(DFM)的重要组成部分,用于模拟裂隙多孔介质中的流动。本文研究了一种简单而有效的盒方法离散裂缝模型扩展方案,可将低渗透屏障纳入模型。该方法在无屏障情况下与经典Box-DFM[41,48]完全一致。纳入屏障仅需极少的额外自由度以容纳压力不连续性,且对Box-DFM原始编码框架的修改要求极低。我们通过大量数值测试(基于已发表基准问题)并与现有有限体积DFM进行对比,验证了该方法的有效性与性能。