Application of the ideal soil model and tube hydraulics to study filtration processes

[摘要] Some regularities of filtration processes are considered in the article. On the basis of experimental studies of fluid motion in capillary tubes of various types, tortuosity is modelled. These experiments demonstrate that the model of ideal soil in the form of cylindrical tubes should take into account the rheological dependence of the Newtonian fluid on the pressure gradient, that is, deviation from linearity. Determination of the permeability of a porous medium is ambiguous and depends on the conditions, scales, and methods of investigation. The Darcy's law requires refinement because of the nonlinearity of viscosity at different filtration velocities. Based on the analysis of modelling results, a non-linear dependence is suggested that resembles the Leverett function suitable for both linear filtration and beyond linearity and has concave and convex parts.

[发布机构] Industrial University of Tyumen, 38 Volodarskogo St., Tyumen; 625000, Russia^1

[效力级别] 电工学

[关键词] Convex parts;Cylindrical tubes;Filtration process;Filtration velocity;Fluid motions;Leverett function;Newtonian fluids;Porous medium