基于 DFM 方法的断裂多孔介质中地下水流数值建模

Q3 Mathematics

Mathematical Models and Computer Simulations Pub Date : 2024-09-05 DOI:10.1134/s207004822470025x

F. V. Grigorev

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引用次数: 0

摘要

摘要综述了用于模拟断裂多孔介质中地下水流的方法，并讨论了这些方法的优缺点。介绍了 GeRa 软件中的离散断裂和基质（DFM）模型，强调该模型能够明确考虑断裂的几何形状以及断裂与多孔基质之间的水交换。提出了在基于 O 方案的有限体积法中使用断裂多点通量近似法。所实施的数值方案被应用于解决一个实际问题，即估算裂隙岩体中地下研究实验室的进水量。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Numerical Modeling of a Groundwater Flow in Fractured Porous Media Based on the DFM Approach

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Numerical Modeling of a Groundwater Flow in Fractured Porous Media Based on the DFM Approach

Abstract

The approaches used to model a groundwater flow in fractured porous media are reviewed and their merits and shortcomings are discussed. The discrete fracture and matrix (DFM) model implemented in the GeRa software is described, emphasizing its capacity to explicitly consider the geometry of fractures and the water exchange between fractures and the porous matrix. The use of a multipoint flux approximation on the fracture within the finite volume method based on the O‑scheme is proposed. The implemented numerical scheme is applied to solve a practical problem of estimating the water inflow into an underground research laboratory in a fractured rock massif.

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来源期刊

Mathematical Models and Computer Simulations Mathematics-Computational Mathematics

CiteScore

1.20

自引率

0.00%

发文量

期刊介绍： Mathematical Models and Computer Simulations is a journal that publishes high-quality and original articles at the forefront of development of mathematical models, numerical methods, computer-assisted studies in science and engineering with the potential for impact across the sciences, and construction of massively parallel codes for supercomputers. The problem-oriented papers are devoted to various problems including industrial mathematics, numerical simulation in multiscale and multiphysics, materials science, chemistry, economics, social, and life sciences.