A Higher-Resolution Flow-Oriented Scheme With an Adaptive Correction Strategy for Distorted Meshes Coupled With a Robust MPFA-D Method for the Numerical Simulation of Two-Phase Flow in Heterogeneous and Anisotropic Petroleum Reservoirs
A Higher-Resolution Flow-Oriented Scheme With an Adaptive Correction Strategy for Distorted Meshes Coupled With a Robust MPFA-D Method for the Numerical Simulation of Two-Phase Flow in Heterogeneous and Anisotropic Petroleum Reservoirs
复制标题
具有自适应变形网格校正策略的高分辨率流导向方案与鲁棒 MPFA-D 方法相结合，用于非均质和各向异性石油储层中两相流的数值模拟
作者：
M. Souza;F. Contreras;P. Lyra;D. Carvalho
本文提出了一种全网格中心有限体积法来模拟非均质各向异性油藏中的两相流动。我们采用了一个隔离的制定压力方程离散的多点通量近似与钻石型支持（MPFA-D）。为了求解饱和度方程，我们提出了一种高阶修正的面向流格式（M-FOS）。在该方案中，自适应权重调整配方的多维根据网格的失真。此外，我们采用了多维限制过程（MLP）和一个有效的熵修复产生收敛的解决方案。我们通过解决一些相关的基准问题来评估我们的数值方案的性能。
In this paper, we propose a full-cell-centered finite-volume approach to simulate two-phase flow in heterogeneous and anisotropic petroleum reservoirs. We adopt a segregated formulation where the pressure equation is discretized by a multipoint flux approximation with a diamond-type support (MPFA-D). To solve the saturation equation, we propose a higher-order modified flow-oriented scheme (M-FOS). In this scheme, adaptive weights tune the formulation multidimensionality according to the grid distortion. Also, we adopt a multidimensional limiting process (MLP) and an efficient entropy fix to produce convergent solutions. We evaluate the performance of our numerical schemes by solving some relevant benchmark problems.