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Journal of Applied Mechanics and Technical Physics

2026 year, number 3

MATHEMATICAL MODELING OF POROSITY CHANGES IN PRELOADED SOIL

R.A. Virts
Altai State University, Barnaul, Russia
Keywords: porosity, Darcy’s law, poroelasticity, filtration, permeability, compression, water saturation, deformation

Abstract

The effect of preloading on the porosity change of water-saturated clay soils is investigated. A numerical model of one-dimensional filtration in a porous medium with variable permeability dependent on the applied load is employed for the analysis. The boundary conditions are specified in terms of filtration velocities, and the load effect is modeled through changes in the permeability coefficient. The results obtained are shown to be in good agreement with experimental data. The proposed description of porosity evolution enables more accurate prediction of soil behavior during fluid filtration.