A percolation of viscous incompressible fluid in collectors with anisotropic penetration

Paper deal with mathematical simulation of viscous incompressible two-component fluid percolation. To solve such problem numerically the iterative method of method of nonlinear iterations of factorized coefficients constructed and comprehensive analysis with incomplete factorization (IMIF-53), conjunctive gradient squared method (CG-S), stabilized bi-conjunctive gradient method (Bi-CGSTAB) was carried out. Numerical investigations approved an increasing of oil concentration in the zone of hydrocarbon extraction at the beginning of the mining and effect of "water fingers" formation at the end of the mining.