An Advanced Nine-Point Scheme based on Finite Analysis in Two-Dimensional Numerical Reservoir Simulation

IF 2.5 4区工程技术 Q2 ENGINEERING, MECHANICAL

Journal of Porous Media Pub Date : 2024-08-01 DOI:10.1615/jpormedia.2024049723

Jun Hu, Ya-Juan Dong, Zhi-Feng Liu, Jin-Biao Yu, Xiao-Hong Wang, Yong Wang

引用次数: 0

Abstract

This article proposes an advanced nine-point (9P) scheme for solving multiphase flow in heterogeneous porous media, which is an extension of the 5P scheme constructed by the finite analytical method (FAM). As media heterogeneity increases, the error of traditional algorithms become uncontrollable due to their significant underestimation of nodal transmissibility. However, the transmissibility calculated in FAM is based on a local analytical solution and its accuracy is not dependent on the strength of heterogeneity. The proposed FAM-9P scheme offers two distinct advantages. Compared to the traditional 9P scheme, it provides much more accurate simulation results, especially for strongly heterogeneous porous media. Additionally, compared to the FAM-5P scheme, it can alleviate grid orientation effect (GOE) under adverse mobility ratios.

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基于有限分析的先进九点方案在二维数值储层模拟中的应用

本文提出了一种用于求解异质多孔介质中多相流的先进九点（9P）方案，它是对有限解析法（FAM）构建的 5P 方案的扩展。随着介质异质性的增加，传统算法由于严重低估了节点透射率，其误差变得难以控制。然而，FAM 中计算的透射率是基于局部解析解的，其精度与异质性的强度无关。拟议的 FAM-9P 方案具有两个明显的优势。与传统的 9P 方案相比，它能提供更精确的模拟结果，特别是对于强异质多孔介质。此外，与 FAM-5P 方案相比，它可以减轻不利流动比率下的网格定向效应 (GOE)。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Porous Media 工程技术-工程：机械

CiteScore

3.50

自引率

8.70%

发文量

审稿时长

12.5 months

期刊介绍： The Journal of Porous Media publishes original full-length research articles (and technical notes) in a wide variety of areas related to porous media studies, such as mathematical modeling, numerical and experimental techniques, industrial and environmental heat and mass transfer, conduction, convection, radiation, particle transport and capillary effects, reactive flows, deformable porous media, biomedical applications, and mechanics of the porous substrate. Emphasis will be given to manuscripts that present novel findings pertinent to these areas. The journal will also consider publication of state-of-the-art reviews. Manuscripts applying known methods to previously solved problems or providing results in the absence of scientific motivation or application will not be accepted. Submitted articles should contribute to the understanding of specific scientific problems or to solution techniques that are useful in applications. Papers that link theory with computational practice to provide insight into the processes are welcome.