Finite analytic method for 2D steady fluid flows in heterogeneous porous media with unstructured grids

2017 ◽  
Vol 113 (4) ◽  
pp. 742-766 ◽  
Author(s):  
Guan-Wen Wang ◽  
Zhi-Feng Liu ◽  
Xiao-Hong Wang
Keyword(s):  
Porous Media ◽  
Unstructured Grids ◽  
Fluid Flows ◽  
Heterogeneous Porous Media ◽  
Analytic Method ◽  
Finite Analytic Method

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.

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