Узагальнення рівнянь фільтрації та тепломасоперенесення на випадок суфозійних процесів

A methodology of analytical derivation of filtration equation for fluid equation in heterogeneous porous media taking into account finite number of the influence factors has been proposed. The methodology consists in the record of the continuity equations of liquid and solid phases of the porous med...

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Bibliographic Details
Date:2016
Main Authors: Герус, Володимир Андрійович, Кутя, Тетяна Володимирівна, Мартинюк, Петро Миколайович
Format: Article
Language:Ukrainian
Published: Kamianets-Podilskyi National Ivan Ohiienko University 2016
Online Access:http://mcm-tech.kpnu.edu.ua/article/view/94049
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Journal Title:Mathematical and computer modelling. Series: Technical sciences

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Mathematical and computer modelling. Series: Technical sciences
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Summary:A methodology of analytical derivation of filtration equation for fluid equation in heterogeneous porous media taking into account finite number of the influence factors has been proposed. The methodology consists in the record of the continuity equations of liquid and solid phases of the porous medium with using a material derivative with time. For example, heat and mass transfer, chemical and mechanical suffusion have been chosen as impact factors. A survey of experimental and theoretical dependences of the densities of the soil phases and hydraulic conductivity of the soil upon these factors has been performed. The review phase dependences of parameters of soil (density, hydraulic conductivity) has been made. The mathematical model has been formed and areas for further research has been identified.