FILTRATION WAVES

Equations and relations have been obtained for describing one-dimensional fi ltration waves in a homogeneous isotropic porous medium in plane, radial, and spherical cases. To this end, use was made of the equation of motion of a liquid phase with account taken of frictional forces, which in the case of stationary fi ltration with parallel streamlines coincides with Darcy′s fi ltration law. The equations of motion and continuity reduced to an equation of telegraphy permitted constructing relations for the wave number, the absorption coeffi cient, and the damping factor, and also for the velocity of fi ltration waves. The developed theory of fi ltration-wave pressure fi elds refi nes the ideas of propagation of fi ltration wave perturbations in a porous medium. It has been shown that the obtained expressions for the wave fi eld in a wave approximation when the wave velocity tends to infi nity are consistent with the existing solutions of the piezoconductivity equation
   
Author:  A. I. Filippov ,  O. V. Akhmetova
Keywords:  porous medium, fi ltration waves, damping factor, piezoconductivity coeffi cient.
Page:  889