Numerical Study of Salt-Transfer Process in Soils

Abstract

Urgent problems related to the solution of salt-transfer problems in soil are considered in the paper. It is devoted to numerical modeling of salt transfer and diffusion process in soils. In modeling the total porosity of soil is divided by “through” and “dead-end” fraction of pores with corresponding solution strength. A brief review of scientific publications covering this problem is given. To study and predict the process of harmful substances spread, a mathematical model and numerical algorithm were developed to conduct a computer experiment. The solution to this problem was obtained using a method based on the use of quadrature formulas in combination with the differential sweep method for a system of ordinary differential equations of the second order with arbitrary linear boundary conditions. To test the proposed approach of numerical modeling, a specific problem was solved and the results were presented in tabular form and compared with exact solutions