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

Luyu Wang*, Fabrice Golfier, Anne-Julie Tinet, Weizhong Chen, Cornelis Vuik

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

Abstract

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.
Original languageEnglish
Article number104186
Pages (from-to)1-15
Number of pages15
JournalAdvances in Water Resources
Volume163
DOIs
Publication statusPublished - 2022

Bibliographical note

Green Open Access added to TU Delft Institutional Repository 'You share, we take care!' - Taverne project https://www.openaccess.nl/en/you-share-we-take-care

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Keywords

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

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