A dimensionally reduced Stokes–Darcy model for fluid flow in fractured porous media

Rybak I, Metzger S (2020)

Publication Language: English

Publication Type: Journal article, Original article

Publication year: 2020

Journal

Applied Mathematics and Computation Elsevier

Journal Issue: 384

DOI: 10.1016/j.amc.2020.125260

Abstract

Dimensionally reduced models are effective approximations of flow and transport processes in structures containing thin layers. We propose and analyse such a model for flow in fractured porous media. The fractures can store and transport fluid and they are modelled as lower-dimensional entities in the surrounding porous medium. The flow system of interest in this work is single-phase, isothermal and non-compositional. The model consists of the full-dimensional Darcy’s law in the rock matrix coupled to the Stokes equations of co-dimension one in the fracture. The well-posedness of the reduced coupled problem is proved and the reduced model is validated against the full-dimensional model numerically. The simulation results demonstrate that the proposed model is indeed a cost effective alternative to full-dimensional models.

Authors with CRIS profile

Stefan Metzger Professur für Angewandte Mathematik (Analysis und Numerik partieller Differentialgleichungen)

Involved external institutions

Universität Stuttgart DE Germany (DE)

How to cite

APA:

Rybak, I., & Metzger, S. (2020). A dimensionally reduced Stokes–Darcy model for fluid flow in fractured porous media. Applied Mathematics and Computation, 384. https://dx.doi.org/10.1016/j.amc.2020.125260

MLA:

Rybak, Iryna, and Stefan Metzger. "A dimensionally reduced Stokes–Darcy model for fluid flow in fractured porous media." Applied Mathematics and Computation 384 (2020).

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