An efficient adaptive implicit scheme with equivalent continuum approach for two-phase flow in fractured vuggy porous media

An efficient adaptive implicit scheme with equivalent continuum approach for two-phase flow in fractured vuggy porous media

Wang, L. (GeoRessources Lab)
Golfier, Fabrice (GeoRessources Lab)
Tinet, Anne-Julie (GeoRessources Lab)
Chen, Weizhong (Chinese Academy of Sciences)
Vuik, Cornelis (TU Delft Delft Institute of Applied Mathematics)

2022

This work investigates numerical method and equivalent continuum approach (ECA) of fluid flow in fractured porous media. The commonly used discrete fracture model (DFM) without upscaling needs full discretization of all fractures. It enjoys the merit of capturing each fracture accurately but will get in trouble with mesh partition and low computational efficiency, especially when a complex geometry is involved. In this study, we develop an efficient implicit scheme with adaptive iteration, in which an improved ECA is devised and then integrated in this scheme. Numerical studies show that the proposed numerical scheme improves the convergence condition and computational efficiency. Then, a test is conducted to demonstrate the feasibility of using superposition principle of permeability tensor in upscaling. Based on these, different strategies are applied to simulate fluid flow in fracture networks with a complex geometry. It is demonstrated that the proposed ECA is able to reproduce the results computed by DFM. The accuracy depends on resolution of background grids. The presented method enjoys a low computational cost and desirable convergence performance compared with the standard DFM in which equivalent continuum is not considered.

Fractured porous media
Two-phase flow
Upscaling
Equivalent permeability tensor
Implicit scheme

http://resolver.tudelft.nl/uuid:1f3ae5d7-166d-487e-b7c8-5bb7c98d32f9

https://doi.org/10.1016/j.advwatres.2022.104186

2022-10-04

0309-1708

Advances in Water Resources, 163, 1-15

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© 2022 L. Wang, Fabrice Golfier, Anne-Julie Tinet, Weizhong Chen, Cornelis Vuik