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

  • Yi Wang (a1) and Shuyu Sun (a2)

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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Corresponding author

*Corresponding author. Email addresses: yiwang1031@gmail.com (Y. Wang), shuyu.sun@kaust.edu.sa (S. Sun)

References

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