Research of heat and salt transfer effect on filtration rate in soil dam (space problem)
Journal Title: Вісник Тернопільського національного технічного університету - Year 2015, Vol 80, Issue 4
Abstract
Mathematical model of filtration in the body of the soil dam in three-dimensional case of the effect on filtration rate, temperature and concentration of chemicals in a porous medium has been built. In the law of filtration dependence of filtering options on salt concentration and temperature has been taken into account. The free surface (dispersion curve) is fixed in time. Using mathematical and computer modeling to predict these processes makes it possible not to carry out natural experiments and thus save resources and time. To find the approximate solution of the given boundary problem the finite element method was used and it was advantageous in three-dimensional case as it made possible to take into account the geometry of the region. In the article a weak statement of the boundary problem for equations of pressure, salt concentration and temperature, as well as relevant initial and boundary equations were derived. Software for the calculations automation and finding the numerical solution in the medium of FreeFem ++ has been developed. Besides, this free software provides opportunities for variational statement of the problem, automatic net generation basig on the Delorger-Voronyi algorythm and a wide choise of finite elements. Some numerical experiments have been carried out and their analysis was done. The influence of salt and heat transfer on the distribution of pressures and speed of filtration in the dam has been investigated. Values of temperature, salt concentration and pressures for 360 days have been obtained. Ease of the FreeFem ++ application is caused by the possibility of visual graphs presentation as lines (surfaces) equal in values of the functions and the ability to analyze values in any point of the calculated area. The obtained results will prevent possible crashes and damages caused by the changes in pressures, as to stop the filtration destruction is almost impossible.
Authors and Affiliations
Natalia Medvid, Petro Martynyuk
Keywords
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