Model isothermal internal erosion of soil

All-Russian conference on Nonlinear Waves: Theory and New Applications

Papin, A.A.^1 ; Sibin, A.N.^1

Altai State University, Barnaul, Russia^1

关键词: Classical solutions;    Degenerate problems;    Existence and uniqueness;    Internal erosion;    Mass conservation;    Original systems;    Two-dimensional domain;    Water saturations;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/722/1/012034/pdf
DOI  :  10.1088/1742-6596/722/1/012034

来源: IOP

【 摘 要 】

The process of internal erosion in a three-phase saturated soil is studied. The problem is described by the equations of mass conservation, Darcy's law and the equation of capillary pressure. The original system of equations is reduced to a system of two equations for porosity and water saturation. In general, the equation of water saturation is degenerate. The degenerate problem in a one-dimensional domain and one special case of the problem in a two-dimensional domain are solved numerically using a finite-difference method. Existence and uniqueness of a classical solution of a nondegenerate problem is proved.