Flow in fractured porous media occurs in the earth's subsurface, in biological tissues, and in man-made materials. Fractures have a dominating influence on flow processes, and the last decade has seen an extensive development of models and numerical methods that explicitly account for their presence. To support these developments, we present a portfolio of four benchmark cases for single-phase flow in three-dimensional fractured porous media. The cases are specifically designed to test the methods' capabilities in handling various complexities common to the geometrical structures of fracture networks. Based on an open call for participation, results obtained with 17 numerical methods were collected. This paper presents the underlying mathematical model, an overview of the features of the participating numerical methods, and their performance in solving the benchmark cases.

中文翻译：

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三维裂隙多孔介质中单相流验证基准

裂隙多孔介质中的流动发生在地球的地下、生物组织和人造材料中。裂缝对流动过程有主要影响，在过去十年中，模型和数值方法的广泛发展明确说明了它们的存在。为了支持这些发展，我们提出了 3 维裂隙多孔介质中单相流的四个基准案例组合。这些案例专门用于测试这些方法处理裂缝网络几何结构常见的各种复杂性的能力。在公开征集参与的基础上，收集了使用 17 种数值方法获得的结果。本文介绍了基本的数学模型，概述了参与数值方法的特征，