Abstract
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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