Rybak I, Metzger S (2020)
Publication Language: English
Publication Type: Journal article, Original article
Publication year: 2020
Journal Issue: 384
DOI: 10.1016/j.amc.2020.125260
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.
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://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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