Calculation of the relative phase permeabilities in the case of filtration of power law fluids in porous media

At present oil industry often use liquids of power-law rheology for effective hydrofracturing. But to practice measurement of relative permeability as rule carry out for newtonian liquids. Therefore the problem of calculation of relative phase permeability in case two-phase filtration for power-law fluid using RPP for newtonian mixtures getting actual. The main suppose this work - the filtration of liquind in occure capillars of different diameter. As a result the differential equation was obtained, the solution of which may allow to avaluate the RPP for two-phase filtration, provided that one of the fluids has a power-law rheology.