TEST ANALYTICAL SOLUTIONS OF A BRINE TRANSPORT EQUATION IN A WATER-BEARING STRATUM
V. M. Konyukhov, A. N. Chekalin
VANT. Ser.: Mat. Mod. Fiz. Proc. 2005. Вып.4. С. 86-97.
Analytical solutions of a one-dimensional equation of hyperbolic type describing brine filtration are made. Test problems containing basic specific features of desired solution are considered such as appearance, evolution and interference of saturation jumps arising on lines of discontinuity of absolute permeability; moving of saturation jumps with variable amplitude downstream the filtration flow as well as upstream; formation of motionless pollution core on the boundary of absolute permeability break in downstream filtration flow; dependence of boundary conditions describing modes of brine inflow into the porous medium from solution inside filtration area.
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