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JOURNALS // Matematicheskoe modelirovanie // Archive

Mat. Model., 2024 Volume 36, Number 2, Pages 113–128 (Mi mm4534)

Numerical modeling of groundwater flow in fractured porous media based on the DFM approach

F. V. Grigorev

Nuclear safety institute of the RAS

Abstract: The paper provides a survey of approaches to groundwater flow modeling in fractured porous media, discussing their merits and shortcomings. The DFM (Discrete Fracture and Matrix) 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 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 water inflow to underground research laboratory in a fractured rock massif.

Keywords: groundwater flow, fractured porous media, finite volume method, multipoint flux approximation.

Received: 30.11.2023
Revised: 30.11.2023
Accepted: 15.01.2024

DOI: 10.20948/mm-2024-02-07


 English version:
Mathematical Models and Computer Simulations, 2024, 16:4, 598–608


© Steklov Math. Inst. of RAS, 2025