Direct Calculation of Permeability by High-Accurate Finite Difference and Numerical Integration Methods

Handle URI:
http://hdl.handle.net/10754/621657
Title:
Direct Calculation of Permeability by High-Accurate Finite Difference and Numerical Integration Methods
Authors:
Wang, Yi; Sun, Shuyu ( 0000-0002-3078-864X )
Abstract:
Velocity of fluid flow in underground porous media is 6~12 orders of magnitudes lower than that in pipelines. If numerical errors are not carefully controlled in this kind of simulations, high distortion of the final results may occur [1-4]. To fit the high accuracy demands of fluid flow simulations in porous media, traditional finite difference methods and numerical integration methods are discussed and corresponding high-accurate methods are developed. When applied to the direct calculation of full-tensor permeability for underground flow, the high-accurate finite difference method is confirmed to have numerical error as low as 10-5% while the high-accurate numerical integration method has numerical error around 0%. Thus, the approach combining the high-accurate finite difference and numerical integration methods is a reliable way to efficiently determine the characteristics of general full-tensor permeability such as maximum and minimum permeability components, principal direction and anisotropic ratio. Copyright © Global-Science Press 2016.
KAUST Department:
Computational Transport Phenomena Lab; Physical Sciences and Engineering (PSE) Division
Citation:
Wang Y, Sun S (2016) Direct Calculation of Permeability by High-Accurate Finite Difference and Numerical Integration Methods. Commun Comput Phys 20: 405–440. Available: http://dx.doi.org/10.4208/cicp.210815.240316a.
Publisher:
Global Science Press
Journal:
Communications in Computational Physics
Issue Date:
21-Jul-2016
DOI:
10.4208/cicp.210815.240316a
Type:
Article
ISSN:
1815-2406; 1991-7120
Sponsors:
The work presented in this paper has been supported in part by the project entitled "Simulation of Subsurface Geochemical Transport and Carbon Sequestration", funded by the GRP-AEA Program at KAUST and also supported by National Science Foundation of China (No.51576210, No.51206186), and Science Foundation of China University of Petroleum-Beijing (No.2462015BJB03, No.2462015YQ0409).
Appears in Collections:
Articles; Physical Sciences and Engineering (PSE) Division; Computational Transport Phenomena Lab

Full metadata record

DC FieldValue Language
dc.contributor.authorWang, Yien
dc.contributor.authorSun, Shuyuen
dc.date.accessioned2016-11-03T13:22:03Z-
dc.date.available2016-11-03T13:22:03Z-
dc.date.issued2016-07-21en
dc.identifier.citationWang Y, Sun S (2016) Direct Calculation of Permeability by High-Accurate Finite Difference and Numerical Integration Methods. Commun Comput Phys 20: 405–440. Available: http://dx.doi.org/10.4208/cicp.210815.240316a.en
dc.identifier.issn1815-2406en
dc.identifier.issn1991-7120en
dc.identifier.doi10.4208/cicp.210815.240316aen
dc.identifier.urihttp://hdl.handle.net/10754/621657-
dc.description.abstractVelocity of fluid flow in underground porous media is 6~12 orders of magnitudes lower than that in pipelines. If numerical errors are not carefully controlled in this kind of simulations, high distortion of the final results may occur [1-4]. To fit the high accuracy demands of fluid flow simulations in porous media, traditional finite difference methods and numerical integration methods are discussed and corresponding high-accurate methods are developed. When applied to the direct calculation of full-tensor permeability for underground flow, the high-accurate finite difference method is confirmed to have numerical error as low as 10-5% while the high-accurate numerical integration method has numerical error around 0%. Thus, the approach combining the high-accurate finite difference and numerical integration methods is a reliable way to efficiently determine the characteristics of general full-tensor permeability such as maximum and minimum permeability components, principal direction and anisotropic ratio. Copyright © Global-Science Press 2016.en
dc.description.sponsorshipThe work presented in this paper has been supported in part by the project entitled "Simulation of Subsurface Geochemical Transport and Carbon Sequestration", funded by the GRP-AEA Program at KAUST and also supported by National Science Foundation of China (No.51576210, No.51206186), and Science Foundation of China University of Petroleum-Beijing (No.2462015BJB03, No.2462015YQ0409).en
dc.publisherGlobal Science Pressen
dc.subjectFinite difference methoden
dc.titleDirect Calculation of Permeability by High-Accurate Finite Difference and Numerical Integration Methodsen
dc.typeArticleen
dc.contributor.departmentComputational Transport Phenomena Laben
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
dc.identifier.journalCommunications in Computational Physicsen
dc.contributor.institutionNational Engineering Laboratory for Pipeline Safety, MOE Key Laboratory of Petroleum Engineering, Beijing Key Laboratory of Urban Oil and Gas Distribution Technology, China University of Petroleum-Beijing, Beijing, Chinaen
kaust.authorSun, Shuyuen
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