The effect of the linearized treatment of the equation describing the transient flow of a compressible liquid through elastic porous media is studied analytically. It is shown that if there is a need for a simplified description based on the linearization of the original nonlinear partial differential equation, then it has to be done in an optimal sense. However, even then the mathematical model may degenerate for certain boundary conditions and some values of parameters defining the dependence of fluid and media properties on pressure. This fact is illustrated by the help of a simple example of transient filtration in a semi-infinite Hookeian medium. The reliability and adequateness of the a priori linearized equation is discussed.
|Number of pages||5|
|Journal||Canadian Journal of Physics|
|State||Published - 1978|
ASJC Scopus subject areas
- Physics and Astronomy (all)