Theory of nonsteady nonequilibrium filtration of immiscible liquids

A modification to the model developed in [1] for the nonequilibrium filtration of an inhomogeneous liquid is proposed. The structure of the saturation discontinuity is investigated, taking into account the nonequilibrium conditions; it is shown to be stable in a linear approximation.Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 3, pp. 51–58, May–June, 1978.It remains to thank G. I. Berenblatt for his constant interest in the work.