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

Direct Calculation of Permeability by High-Accurate Finite Difference and Numerical Integration Methods
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Year:    2016

Communications in Computational Physics, Vol. 20 (2016), Iss. 2 : pp. 405–440

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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cicp.210815.240316a

Communications in Computational Physics, Vol. 20 (2016), Iss. 2 : pp. 405–440

Published online:    2016-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    36

Keywords:   

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