Adaptive mixed finite element methods for Darcy flow in fractured porous media

Handle URI:
http://hdl.handle.net/10754/622058
Title:
Adaptive mixed finite element methods for Darcy flow in fractured porous media
Authors:
Chen, Huangxin; Salama, Amgad; Sun, Shuyu ( 0000-0002-3078-864X )
Abstract:
In this paper, we propose adaptive mixed finite element methods for simulating the single-phase Darcy flow in two-dimensional fractured porous media. The reduced model that we use for the simulation is a discrete fracture model coupling Darcy flows in the matrix and the fractures, and the fractures are modeled by one-dimensional entities. The Raviart-Thomas mixed finite element methods are utilized for the solution of the coupled Darcy flows in the matrix and the fractures. In order to improve the efficiency of the simulation, we use adaptive mixed finite element methods based on novel residual-based a posteriori error estimators. In addition, we develop an efficient upscaling algorithm to compute the effective permeability of the fractured porous media. Several interesting examples of Darcy flow in the fractured porous media are presented to demonstrate the robustness of the algorithm.
KAUST Department:
Computational Transport Phenomena Lab; Physical Sciences and Engineering (PSE) Division
Citation:
Chen H, Salama A, Sun S (2016) Adaptive mixed finite element methods for Darcy flow in fractured porous media. Water Resources Research 52: 7851–7868. Available: http://dx.doi.org/10.1002/2015WR018450.
Publisher:
Wiley-Blackwell
Journal:
Water Resources Research
KAUST Grant Number:
BAS/1/1351-01-01
Issue Date:
21-Sep-2016
DOI:
10.1002/2015WR018450
Type:
Article
ISSN:
0043-1397
Sponsors:
The authors would like to thank the anonymous reviewers for their insightful comments and suggestions that have contributed to improve this paper. No data were used in producing this manuscript, except in the fourth case of Example 5.1, where the data from the 10th SPE Comparative Solution Project on Upscaling (available at http://www.spe.org/web/csp/) were used. The work of H. Chen was supported by the NSF of China (grant 11201394) and the Fundamental Research Funds for the Central Universities (grant 20720150005). The work of S. Sun was supported by King Abdullah University of Science and Technology (KAUST) through the grant BAS/1/1351-01-01.
Additional Links:
http://onlinelibrary.wiley.com/doi/10.1002/2015WR018450/abstract
Appears in Collections:
Articles; Physical Sciences and Engineering (PSE) Division; Computational Transport Phenomena Lab

Full metadata record

DC FieldValue Language
dc.contributor.authorChen, Huangxinen
dc.contributor.authorSalama, Amgaden
dc.contributor.authorSun, Shuyuen
dc.date.accessioned2016-12-22T13:34:56Z-
dc.date.available2016-12-22T13:34:56Z-
dc.date.issued2016-09-21en
dc.identifier.citationChen H, Salama A, Sun S (2016) Adaptive mixed finite element methods for Darcy flow in fractured porous media. Water Resources Research 52: 7851–7868. Available: http://dx.doi.org/10.1002/2015WR018450.en
dc.identifier.issn0043-1397en
dc.identifier.doi10.1002/2015WR018450en
dc.identifier.urihttp://hdl.handle.net/10754/622058-
dc.description.abstractIn this paper, we propose adaptive mixed finite element methods for simulating the single-phase Darcy flow in two-dimensional fractured porous media. The reduced model that we use for the simulation is a discrete fracture model coupling Darcy flows in the matrix and the fractures, and the fractures are modeled by one-dimensional entities. The Raviart-Thomas mixed finite element methods are utilized for the solution of the coupled Darcy flows in the matrix and the fractures. In order to improve the efficiency of the simulation, we use adaptive mixed finite element methods based on novel residual-based a posteriori error estimators. In addition, we develop an efficient upscaling algorithm to compute the effective permeability of the fractured porous media. Several interesting examples of Darcy flow in the fractured porous media are presented to demonstrate the robustness of the algorithm.en
dc.description.sponsorshipThe authors would like to thank the anonymous reviewers for their insightful comments and suggestions that have contributed to improve this paper. No data were used in producing this manuscript, except in the fourth case of Example 5.1, where the data from the 10th SPE Comparative Solution Project on Upscaling (available at http://www.spe.org/web/csp/) were used. The work of H. Chen was supported by the NSF of China (grant 11201394) and the Fundamental Research Funds for the Central Universities (grant 20720150005). The work of S. Sun was supported by King Abdullah University of Science and Technology (KAUST) through the grant BAS/1/1351-01-01.en
dc.publisherWiley-Blackwellen
dc.relation.urlhttp://onlinelibrary.wiley.com/doi/10.1002/2015WR018450/abstracten
dc.rightsThis is the peer reviewed version of the following article: Chen, H., A. Salama, and S. Sun (2016), Adaptive mixed finite element methods for Darcy flow in fractured porous media, Water Resour. Res., 52, 7851–7868, doi:10.1002/2015WR018450., which has been published in final form at http://onlinelibrary.wiley.com/doi/10.1002/2015WR018450/abstract. This article may be used for non-commercial purposes in accordance With Wiley Terms and Conditions for self-archiving.en
dc.subjectmixed finite element methoden
dc.subjectfractured porous mediaen
dc.subjectDarcy flowen
dc.subjecterror estimatoren
dc.subjecteffective permeabilityen
dc.titleAdaptive mixed finite element methods for Darcy flow in fractured porous mediaen
dc.typeArticleen
dc.contributor.departmentComputational Transport Phenomena Laben
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
dc.identifier.journalWater Resources Researchen
dc.eprint.versionPublisher's Version/PDFen
dc.contributor.institutionSchool of Mathematical Sciences and Fujian Provincial Key Laboratory on Mathematical Modeling and High Performance Scientific Computing; Xiamen University; Fujian Chinaen
dc.contributor.institutionReservoir Engineering Research Institute; Palo Alto California USAen
kaust.authorChen, Huangxinen
kaust.authorSun, Shuyuen
kaust.grant.numberBAS/1/1351-01-01en
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