Abstract

The mathematical model of the propagation of chemical substances in the soil that contains a thin clay geobarrier was investigated. The function of the geobarrier as an integral element of the soil base of waste storage facilities is the limitation of the spread of harmful substances outside the facility. The developed mathematical model takes into account: 1) the ideality properties of the barrier material; 2) the phenomenon of chemical osmosis; 3) the conjugation conditions account for the dependence of the filtration coefficient, the degree of ideality, the diffusion coefficient on the concentration of the chemicals. The necessity to consider such dependencies is substantiated by the review of scientific publications with the corresponding data of field experiments. The numerical solution of the corresponding non-linear boundary value problem was found by the finite element method. The numerical experiments show the significance of considering chemical osmosis in the prediction calculations of the spread of harmful chemicals through geobarriers.

Citation details of the article

Journal: International Journal of Applied Mathematics
Journal ISSN (Print): ISSN 1311-1728
Journal ISSN (Electronic): ISSN 1314-8060
Volume: 33
Issue: 6
Year: 2020

DOI: 10.12732/ijam.v33i6.8

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