Verification benchmarks for single-phase flow in three-dimensional fractured porous media

TLDR: The underlying mathematical model, an overview of the features of the participating numerical methods, and their performance in solving the benchmark cases for single-phase flow in three-dimensional fractured porous media are presented.

About: This article is published in Advances in Water Resources.The article was published on 2021-01-01 and is currently open access. It has received 78 citations till now.

Figures

Table 3 Parameters used in Case 1 of Section 5.1 .

Fig. 8. Representation of the domain ( Ω3 = (0m , 1m) 3 ) and the fractures for Case 2 of Section 5.2 . The inlet and outlet boundaries are colored in blue and purple, respectively, and on the right side, the permeability distributions among Ω3 and Ω2 are illustrated. (For interpretation of the references to color in this figure legend, the reader is referred to the web version of this article.)

Fig. 7. Case 1 of Section 5.1 . Integrated flux of c across the outlet boundary over time for three refinements (coarse to fine). Results of Section 5.1.2.6 .

Fig. 12. Case 3 of Section 5.3 . Hydraulic head h 3 in the matrix over the line (0 . 5m , 1 . 1m , 0m) − (0 . 5m , 1 . 1m , 1m) for the coarse (left) and fine (right) grid. The solid black line shows the solution obtained with the USTUTT-MPFA scheme on a grid with approximately 10 6 matrix cells. Results of Section 5.3.2.1 .

Fig. 13. Case 3 of Section 5.3 . Mean concentration within fracture number 3 throughout the simulation time for the coarse (left) and fine (right) grid. Results of Section 5.3.2.2 .

Table A.8 Computational cost indicators for Case 2.

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This paper presents the underlying mathematical model, an overview of the features of the participating numerical methods, and their performance in solving the benchmark cases.