Direct Calculation of Permeability by High-Accurate Finite Difference and Numerical Integration Methods
KAUST DepartmentComputational Transport Phenomena Lab
Physical Sciences and Engineering (PSE) Division
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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.
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.
SponsorsThe 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).
PublisherGlobal Science Press