Abstract
To study the peculiarities of anomalous consolidation processes in saturated porous (soil) media in the conditions of salt transfer, we present a new mathematical model developed on the base of the fractional-fractal approach that allows considering temporal non-locality of transfer processes in media of fractal structure. For the case of the finite thickness domain with permeable boundaries, a finite-difference technique for numerical solution of the corresponding one-dimensional non-linear boundary value problem is developed. The paper also presents a fractional-fractal model of a filtration-consolidation process in clay soils of fractal structure saturated with salt solutions. An analytical solution is found for the corresponding one-dimensional boundary value problem in the domain of finite thickness with permeable upper and impermeable lower boundaries.
Subject
Statistics and Probability,Statistical and Nonlinear Physics,Analysis
Reference29 articles.
1. Non-Classical Mathematical Models of Heat and Mass Transfer Processes;Bulavatsky,2005
2. Mathematical Modeling of Consolidation in Soils in the Conditions of Salt Solution Filtration;Vlasiuk,2004
3. Optimal Control of Intensity of Water Point Sources in Unsaturated Porous Medium
4. Methods of Complex Analysis of Parameters Identification of Quasiideal Processes in Nonlinear Doubly-layered Porous Pools
Cited by
15 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献