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

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 acco...

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Bibliographic Details
Published inIOP conference series. Earth and environmental science Vol. 194; no. 6; pp. 62011 - 62020
Main Author Khairullin, A A
Format Journal Article
LanguageEnglish
Published Bristol IOP Publishing 15.11.2018
Subjects
Capillary tubes
Filtration
Fluid flow
Hydraulics
Linearity
Newtonian fluids
Nonlinear systems
Nonlinearity
Permeability
Porous media
Rheological properties
Soil permeability
Soils
Tortuosity
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Summary: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.
ISSN:1755-1307
1755-1315
1755-1315
DOI:10.1088/1755-1315/194/6/062011