August 19, 2020 / pa

Publication "On upscaling pore-scale models for two-phase flow with evolving interfaces"

Authors: Sohely Sharmin, Carina Bringedal, Iuliu Sorin Pop
Scientific Journal: Advances in Water Resources

New publication in cooperation with the Hasselt University (Belgium) and SFB 1313 of the University of Stuttgart, published in Advances in Water Resources:

"On upscaling pore-scale models for two-phase flow with evolving interfaces"

Authors
Abstract

The modelling and simulation of the unsaturated flow or the flow of two immiscible fluid phases in a porous medium is challenging as this flow takes place through the pores of the medium, which form a highly complex domain. Next to the complexity of the domain, a major challenge is to account for the interface separating the fluids, or the unsaturated fluid from the inert filling part, as the location of this interface is not known a-priori. The evolution of this interface depends on the flow of both fluids and of the surface tension. Moreover, the surface tension may depend on the concentration of a surfactant dissolved in one fluid phase. In this work, such aspects are taken into account, and effective, Darcy-scale models are derived based on the known physics at the pore scale. In this sense a thin strip is used as the representation of a single pore in the porous medium. The Darcy-scale models are derived for various regimes, accounting for different pore-scale processes. Numerical examples show that the upscaled models are a good approximation of the transversal average of the solution to the pore-scale models, as the ratio of the width and the length of the pore approaches zero.

Publication "On upscaling pore-scale models for two-phase flow with evolving interfaces"

Contact

This image shows Carina Bringedal
Jun.-Prof. Dr.

Carina Bringedal

Principal Investigator, Research Project A05

This image shows Sorin Iuliu Pop
Prof. Dr.

Sorin Iuliu Pop

Co-Investigator, Research Project C02, Mercator Fellow

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