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

Yi Wang, Shuyu Sun

Research output: Contribution to journalArticlepeer-review

12 Scopus citations

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.
Original languageEnglish (US)
Pages (from-to)405-440
Number of pages36
JournalCommunications in Computational Physics
Volume20
Issue number2
DOIs
StatePublished - Jul 21 2016

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