Abstract Geologic boundaries juxtaposing fine- against coarse-grained rock, have a profound impact on multiphase flow, giving rise to a spectrum of non-linear flow behaviors, ranging from capillary filtration, capillary holdup and the formation of transient ’vapour locks’, to spontaneous imbibition. Although these discontinuities tend to be small-scale features, their impact is felt on the large scale where they are challenging to model with regard to both, spatial discretization and dynamic flow simulation. We develop a new numerical scheme to handle jump discontinuities in pressure and saturation, embedding boundaries into a hybrid FE-FVM model of immiscible two-phase flow in porous media. The integration of interface conditions is an extension of the discontinuous finite element finite volume method (DFEFVM). A unique feature of it is that saturation at the interface is computed locally without constructing a system of equations, and, in contrast with other schemes, it offers sufficient degrees of freedom to accommodate disequilibrium in pressure. A range of test cases including gravity, capillary pressure and material discontinuities are presented to verify, validate and show the effectiveness of the new simulation method.

中文翻译：

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具有尖锐材料不连续性的多孔介质中的两相流模拟

摘要 细粒岩石与粗粒岩石并列的地质边界对多相流产生深远的影响，产生一系列非线性流动行为，从毛细管过滤、毛细管滞留和瞬态“蒸气锁”的形成，到自吸。尽管这些不连续性往往是小尺度的特征，但在大尺度上会感受到它们的影响，因为它们在空间离散化和动态流动模拟方面都具有挑战性。我们开发了一种新的数值方案来处理压力和饱和度的跳跃不连续性，将边界嵌入多孔介质中不混溶两相流的混合 FE-FVM 模型中。界面条件的积分是非连续有限元有限体积法 (DFEFVM) 的扩展。它的一个独特之处在于，无需构建方程组即可局部计算界面处的饱和度，并且与其他方案相比，它提供了足够的自由度以适应压力不平衡。提供了一系列测试案例，包括重力、毛细压力和材料不连续性，以验证、验证和展示新模拟方法的有效性。