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dc.contributor.authorEfendiev, Yalchin R.
dc.contributor.authorLee, Seong
dc.contributor.authorLi, Guanglian
dc.contributor.authorYao, Jun
dc.contributor.authorZhang, Na
dc.date.accessioned2017-01-02T08:42:37Z
dc.date.available2017-01-02T08:42:37Z
dc.date.issued2015-06-05
dc.identifier.citationEfendiev Y, Lee S, Li G, Yao J, Zhang N (2015) Hierarchical multiscale modeling for flows in fractured media using generalized multiscale finite element method. GEM - International Journal on Geomathematics 6: 141–162. Available: http://dx.doi.org/10.1007/s13137-015-0075-7.
dc.identifier.issn1869-2672
dc.identifier.issn1869-2680
dc.identifier.doi10.1007/s13137-015-0075-7
dc.identifier.urihttp://hdl.handle.net/10754/622202
dc.description.abstractIn this paper, we develop a multiscale finite element method for solving flows in fractured media. Our approach is based on generalized multiscale finite element method (GMsFEM), where we represent the fracture effects on a coarse grid via multiscale basis functions. These multiscale basis functions are constructed in the offline stage via local spectral problems following GMsFEM. To represent the fractures on the fine grid, we consider two approaches (1) discrete fracture model (DFM) (2) embedded fracture model (EFM) and their combination. In DFM, the fractures are resolved via the fine grid, while in EFM the fracture and the fine grid block interaction is represented as a source term. In the proposed multiscale method, additional multiscale basis functions are used to represent the long fractures, while short-size fractures are collectively represented by a single basis functions. The procedure is automatically done via local spectral problems. In this regard, our approach shares common concepts with several approaches proposed in the literature as we discuss. We would like to emphasize that our goal is not to compare DFM with EFM, but rather to develop GMsFEM framework which uses these (DFM or EFM) fine-grid discretization techniques. Numerical results are presented, where we demonstrate how one can adaptively add basis functions in the regions of interest based on error indicators. We also discuss the use of randomized snapshots (Calo et al. Randomized oversampling for generalized multiscale finite element methods, 2014), which reduces the offline computational cost.
dc.publisherSpringer Science + Business Media
dc.subjectDiscrete fracture model
dc.subjectFractured media
dc.subjectGMsFEM
dc.subjectMultiscale finite element
dc.titleHierarchical multiscale modeling for flows in fractured media using generalized multiscale finite element method
dc.typeArticle
dc.contributor.departmentNumerical Porous Media SRI Center (NumPor)
dc.identifier.journalGEM - International Journal on Geomathematics
dc.contributor.institutionDepartment of Mathematics and Institute for Scientific Computation (ISC), Texas A&M University, College Station, TX, United States
dc.contributor.institutionChevron ETC, Houston, TX, 77002, United States
dc.contributor.institutionDepartment of Mathematics, Texas A&M University, College Station, TX, 77843-3368, United States
dc.contributor.institutionSchool of Petroleum Engineering, China University of Petroleum (East China), Qingdao, Shandong, 266555, China
kaust.personEfendiev, Yalchin R.


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