Upscaled Lattice Boltzmann Method for Simulations of Flows in Heterogeneous Porous Media

dc.contributor.authorLi, Jun
dc.contributor.authorBrown, Donald
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.contributor.departmentNumerical Porous Media SRI Center (NumPor)
dc.contributor.institutionCenter for Integrative Petroleum Research, College of Petroleum Engineering and Geosciences, King Fahd University of Petroleum & Minerals, Dhahran, Saudi Arabia
dc.contributor.institutionSchool of Mathematical Sciences, University of Nottingham, Nottingham, UK
dc.date.accessioned2017-05-09T08:34:34Z
dc.date.available2017-05-09T08:34:34Z
dc.date.issued2017-02-16
dc.date.published-online2017-02-16
dc.date.published-print2017
dc.description.abstractAn upscaled Lattice Boltzmann Method (LBM) for flow simulations in heterogeneous porous media at the Darcy scale is proposed in this paper. In the Darcy-scale simulations, the Shan-Chen force model is used to simplify the algorithm. The proposed upscaled LBM uses coarser grids to represent the average effects of the fine-grid simulations. In the upscaled LBM, each coarse grid represents a subdomain of the fine-grid discretization and the effective permeability with the reduced-order models is proposed as we coarsen the grid. The effective permeability is computed using solutions of local problems (e.g., by performing local LBM simulations on the fine grids using the original permeability distribution) and used on the coarse grids in the upscaled simulations. The upscaled LBM that can reduce the computational cost of existing LBM and transfer the information between different scales is implemented. The results of coarse-grid, reduced-order, simulations agree very well with averaged results obtained using a fine grid.
dc.description.sponsorshipThe authors would like to acknowledge Victor Calo for his helpful discussion on the physical implications of the models. Also, they would like to thank Oleg Iliev for his helpful insights on the upscaling of porous media and validation of the computational results.
dc.eprint.versionPublisher's Version/PDF
dc.identifier.arxivid1312.0195
dc.identifier.citationLi J, Brown D (2017) Upscaled Lattice Boltzmann Method for Simulations of Flows in Heterogeneous Porous Media. Geofluids 2017: 1–12. Available: http://dx.doi.org/10.1155/2017/1740693.
dc.identifier.doi10.1155/2017/1740693
dc.identifier.issn1468-8115
dc.identifier.issn1468-8123
dc.identifier.journalGeofluids
dc.identifier.urihttp://hdl.handle.net/10754/623418
dc.publisherHindawi Limited
dc.relation.urlhttps://www.hindawi.com/journals/geofluids/2017/1740693/
dc.rightsThis is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.titleUpscaled Lattice Boltzmann Method for Simulations of Flows in Heterogeneous Porous Media
dc.typeArticle
display.details.left<span><h5>License</h5>http://creativecommons.org/licenses/by/4.0/<br><br><h5>Type</h5>Article<br><br><h5>Authors</h5><a href="https://repository.kaust.edu.sa/search?spc.sf=dc.date.issued&spc.sd=DESC&f.author=Li, Jun,equals">Li, Jun</a><br><a href="https://repository.kaust.edu.sa/search?spc.sf=dc.date.issued&spc.sd=DESC&f.author=Brown, Donald,equals">Brown, Donald</a><br><br><h5>KAUST Department</h5><a href="https://repository.kaust.edu.sa/search?spc.sf=dc.date.issued&spc.sd=DESC&f.department=Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division,equals">Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division</a><br><a href="https://repository.kaust.edu.sa/search?spc.sf=dc.date.issued&spc.sd=DESC&f.department=Numerical Porous Media SRI Center (NumPor),equals">Numerical Porous Media SRI Center (NumPor)</a><br><br><h5>Online Publication Date</h5>2017-02-16<br><br><h5>Print Publication Date</h5>2017<br><br><h5>Date</h5>2017-02-16</span>
display.details.right<span><h5>Abstract</h5>An upscaled Lattice Boltzmann Method (LBM) for flow simulations in heterogeneous porous media at the Darcy scale is proposed in this paper. In the Darcy-scale simulations, the Shan-Chen force model is used to simplify the algorithm. The proposed upscaled LBM uses coarser grids to represent the average effects of the fine-grid simulations. In the upscaled LBM, each coarse grid represents a subdomain of the fine-grid discretization and the effective permeability with the reduced-order models is proposed as we coarsen the grid. The effective permeability is computed using solutions of local problems (e.g., by performing local LBM simulations on the fine grids using the original permeability distribution) and used on the coarse grids in the upscaled simulations. The upscaled LBM that can reduce the computational cost of existing LBM and transfer the information between different scales is implemented. The results of coarse-grid, reduced-order, simulations agree very well with averaged results obtained using a fine grid.<br><br><h5>Citation</h5>Li J, Brown D (2017) Upscaled Lattice Boltzmann Method for Simulations of Flows in Heterogeneous Porous Media. Geofluids 2017: 1–12. Available: http://dx.doi.org/10.1155/2017/1740693.<br><br><h5>Acknowledgements</h5>The authors would like to acknowledge Victor Calo for his helpful discussion on the physical implications of the models. Also, they would like to thank Oleg Iliev for his helpful insights on the upscaling of porous media and validation of the computational results.<br><br><h5>Publisher</h5><a href="https://repository.kaust.edu.sa/search?spc.sf=dc.date.issued&spc.sd=DESC&f.publisher=Hindawi Limited,equals">Hindawi Limited</a><br><br><h5>Journal</h5><a href="https://repository.kaust.edu.sa/search?spc.sf=dc.date.issued&spc.sd=DESC&f.journal=Geofluids,equals">Geofluids</a><br><br><h5>DOI</h5><a href="https://doi.org/10.1155/2017/1740693">10.1155/2017/1740693</a><br><br><h5>arXiv</h5><a href="https://arxiv.org/abs/1312.0195">1312.0195</a><br><br><h5>Additional Links</h5>https://www.hindawi.com/journals/geofluids/2017/1740693/</span>
kaust.personLi, Jun
kaust.personBrown, Donald
orcid.authorLi, Jun
orcid.authorBrown, Donald
refterms.dateFOA2018-06-13T18:59:46Z
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