A Novel Enriched Galerkin Method for Flow and Transport in Fractured Porous Media

Teeratorn Kadeethum, Hamid M. Nick, Sanghyun Lee, Francesco Ballarin, C N. Richardson, Saeed Salimzadeh

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Abstract

Fluid flow and solute transport in fractured porous media is the backbone of many applications including groundwater flow, underground energy harvesting, earthquake prediction, and biomedical engineering. The traditional continuous Galerkin (CG) method is not suitable for the transport equation due to lack of mass conservation. The discontinuous Galerkin (DG) method mitigates this problem; however, its computational cost is considerably more than the CG method. In this study, a robust and efficient discretization method based on the interior penalty enriched Galerkin (EG) method is proposed. This method requires fewer degrees of freedom than those of the DG method, while it achieves the same accuracy. The flow and transport models of rock matrix and fractures domains are investigated in both equidimensional and mixed dimensional settings. The CG and EG methods are compared in four geometries to evaluate the accuracy and efficacy of the proposed method [Inga et al., Verification benchmarks for single-phase flow in threedimensional fractured porous media, 2018]. The results illustrate the superiority of the EG method in solving the flow and transport equations in fractured porous media. Furthermore, the computational burden of the EG method is not significant.
Original languageEnglish
Publication date2019
Number of pages1
Publication statusPublished - 2019
Event2019 SIAM Conference on Mathematical & Computational Issues in the Geosciences - Houston Marriott Westchase, Houston, United States
Duration: 11 Mar 201914 Mar 2019
https://www.siam.org/Conferences/CM/Conference/gs19

Conference

Conference2019 SIAM Conference on Mathematical & Computational Issues in the Geosciences
LocationHouston Marriott Westchase
CountryUnited States
CityHouston
Period11/03/201914/03/2019
Internet address

Cite this

Kadeethum, T., Nick, H. M., Lee, S., Ballarin, F., Richardson, C. N., & Salimzadeh, S. (2019). A Novel Enriched Galerkin Method for Flow and Transport in Fractured Porous Media. Abstract from 2019 SIAM Conference on Mathematical & Computational Issues in the Geosciences, Houston, United States.