Direct Calculation of Permeability by High-Accurate Finite Difference and Numerical Integration Methods. (21st July 2016)

• Record Type: Journal Article
• Authors: Wang, Yi; Sun, Shuyu
• Is Part Of: Communications in computational physics. Volume 20:Number 2(2016:Aug.)
• Page Start: 405
• Page End: 440
• Publication Date: 2016-07-21
• Subjects: 76S05; Finite difference method, -- numerical integration method, -- high accuracy, -- full tensor permeability, -- stokes; Mathematical physics -- Data processing -- Periodicals; Physics -- Data processing -- Periodicals; 530.150285
• DOI: 10.4208/cicp.210815.240316a
• Languages: English
• ISSNs: 1815-2406

Abstract

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.