Numerical Simulation of the Effect of Chemical Osmosis on the Value of the Jumps of Pollution in the Geochemical Barrier

Ulianchuk-Martyniuk, O.V.; Michuta, Olga

doi:10.12732/ijam.v33i6.8

Cited by 1 publication

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“…It was shown in [6] that the conjugation conditions of non-ideal contact can apply to the contact problems of heterogeneous media even without the presence of fine inclusions. Quite detailed studies of the effect of modified conjugation conditions in the presence of geobarriers on forecast distributions of moisture and excess pressures under the action of chemical and biological (bioclogging) factors were performed in [7,[18][19][20][28][29][30][31][32]. However, problems with the effect of thermal factors have not yet been considered.…”

Section: Introductionmentioning

confidence: 99%

Model of Non-Isothermal Consolidation in the Presence of Geobarriers and the Total Approximation Properties of its Finite Element Solutions

Martyniuk

Ulianchuk-Martyniuk

2023

JODEA

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The boundary value problem for the system of quasi-linear parabolic equations in the presence of integral conjugation conditions is considered. The boundary value problem is a mathematical model of the process of non-isothermal filtration consolidation of the soil mass which contains a thin geobarrier. Geobarriers exposed to non-isothermal conditions are a component of waste storage facilities. The change of hydromechanical and thermal properties the geobarriers, as well as the phenomenon of thermal osmosis, require modification of both the equations in the mathematical model and the conjugation conditions. The finite element method is used to find approximate solutions of the corresponding system of quasi-linear parabolic equations. The existence and uniqueness of the approximate generalized solution is proved. The accuracy of finite element solutions in the sense of total approximation are also estimated. The differences in the values of pressure and temperature distributions for the classical case and the case considered in the article were analyzed on the test model example.

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