A mathematical model for thermal single-phase flow and reactive transport in fractured porous media

•Thermo-reactive flow.•Fractured porous media and reduced models.•Temporal splitting scheme to solve complex set of non-linear, non-smooth, mixed-dimensional partial differential equations.•Guidances and solution strategies for realistic geometries. In this paper we present a mathematical model and...

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Veröffentlicht in:Journal of computational physics 2021-06, Vol.434, p.110205, Article 110205
Hauptverfasser: Fumagalli, Alessio, Scotti, Anna
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Scotti, Anna
description •Thermo-reactive flow.•Fractured porous media and reduced models.•Temporal splitting scheme to solve complex set of non-linear, non-smooth, mixed-dimensional partial differential equations.•Guidances and solution strategies for realistic geometries. In this paper we present a mathematical model and a numerical workflow for the simulation of a thermal single-phase flow with reactive transport in porous media, in the presence of fractures. The latter are thin regions which might behave as high or low permeability channels depending on their physical parameters, and are thus of paramount importance in underground flow problems. Chemical reactions may alter the local properties of the porous media as well as the fracture walls, changing the flow path and possibly occluding some portions of the fractures or zones in the porous media. To solve numerically the coupled problem we propose a temporal splitting scheme so that the equations describing each physical process are solved sequentially. Numerical tests show the accuracy of the proposed model and the ability to capture complex phenomena, where one or multiple fractures are present.
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In this paper we present a mathematical model and a numerical workflow for the simulation of a thermal single-phase flow with reactive transport in porous media, in the presence of fractures. The latter are thin regions which might behave as high or low permeability channels depending on their physical parameters, and are thus of paramount importance in underground flow problems. Chemical reactions may alter the local properties of the porous media as well as the fracture walls, changing the flow path and possibly occluding some portions of the fractures or zones in the porous media. To solve numerically the coupled problem we propose a temporal splitting scheme so that the equations describing each physical process are solved sequentially. 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subjects Chemical reactions
Computational physics
Discrete fracture matrix
Fractures
Mathematical models
Model accuracy
Physical properties
Porous media
Reactive flow
Single-phase flow
Splitting schemes
Workflow
title A mathematical model for thermal single-phase flow and reactive transport in fractured porous media
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