Self-similar solutions of the equations of physicochemical subsurface hydromechanics corresponding to one-dimensional oil displacement by a solution of an active additive are considered. An approach in which a self-similar solution of a hyperbolic problem is obtained as the limit of the self-similar solution of a parabolic problem when the transport coefficients tend to zero is proposed and realized. Examples of regular and nonregular passage to the limit, when the limit is unique and when the limit depends on a ratio of small transport coefficients, respectively, are given. The physical meaning of nonregularity is discussed in the case of oil displacement by a solution of an ambivalent active additive.
|Number of pages||10|
|Journal||Fluid Dynamics Research|
|Publication status||Published - 2001|