scholarly journals Modelling and discretization of ow in porous media with thin, full‐tensor permeability inclusions

2021 ◽  
Author(s):  
M. Starnoni ◽  
I. Berre ◽  
E. Keilegavlen ◽  
J. M. Nordbotten
Keyword(s):  
Porous Media ◽  
Tensor Permeability

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

2016 ◽  
Vol 20 (2) ◽  
pp. 405-440 ◽  
Author(s):  
Yi Wang ◽  
Shuyu Sun
Keyword(s):  
Porous Media ◽  
Fluid Flow ◽  
Finite Difference ◽  
Numerical Integration ◽  
Finite Difference Methods ◽  
Direct Calculation ◽  
Numerical Error ◽  
Integration Methods ◽  
Numerical Integration Methods ◽  
Tensor Permeability

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.

Finite Analytic Method for 2D Fluid Flows in Porous Media with Full Tensor Permeability

2014 ◽  
Vol 668-669 ◽  
pp. 181-184
Author(s):  
Zhi Fan Liu
Keyword(s):  
Porous Media ◽  
Numerical Scheme ◽  
Fluid Flows ◽  
Heterogeneous Porous Media ◽  
Convergence Speed ◽  
Analytic Method ◽  
Permeability Heterogeneity ◽  
Finite Analytic Method ◽  
Traditional Scheme ◽  
Tensor Permeability

In this paper, the finite analytic method is developed to solve the two-dimensional fluid flows in heterogeneous porous media with full tensor permeability. With the help of power-law behaviors of pressure and its gradient around the node, a local analytic nodal solution is derived for the pressure equation. Then it is applied to construct a finite analytic numerical scheme which deals with the divergence in pressure gradient. The numerical examples show that the convergence speed of the numerical scheme is fast and independent of the permeability heterogeneity. In contrast, the convergence speed slow rapidly as the heterogeneity increases when the traditional scheme is used.

Physical incorporation of particles in a porous media: a path to a smart wood

2016 ◽  
Vol 74 (2) ◽  
pp. 24607 ◽  
Author(s):  
Azza Zerriaa ◽  
Mohammed El Ganaoui ◽  
Christine Gerardin ◽  
Abdel Tazibt ◽  
Slimane Gabsi
Keyword(s):  
Porous Media
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