Numerical Solution of Two-Dimensional Filtration Problem in the Upper Layers of Soil Considering Suffosion Processes
Abstract
In this paper mathematical model of isothermal internal erosion without deformation of porous medium is studied. Removal of soil particles from flow occurs at a certain magnitude of velocity of filtration. Equations of mass conservation of water, moving solids and stationary porous skeleton along with Darcy’s law for water and moving solid particles and equation for the intensity of suffusion aquifer were used as the mathematical model of the problem. Formulation of the problem and development of the system of equations are described in section 1. The results are parabolic equation with extinction of solution, elliptical equation for pressure and equation of the first order for the porosity of the soil. There is analogy with the classical Masket-Leverett model. Algorithm of numerical solution of two-dimensional initial boundary value problem of internal soil erosion proposed in section 2. The results of numerical investigation of the problem presented in section 3. We found the region of most susceptible to internal suffosion.
DOI 10.14258/izvasu(2017)4-27
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Copyright (c) 2017 А.Н. Сибин, Н.Н. Н.Н.
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