Изучение фильтрации взвеси твердых частиц в пористой среде необходимо при проектировании гидротехнических объектов, бетонировании рыхлого грунта, при создании очистных комплексов, в нефтедобывающей промышленности и т.п. Рассматривается долговременная глубинная фильтрация суспензии в пористой среде с механико-геометрическим механизмом захвата твердых частиц. Исследуется динамика концентрации осажденных частиц на входе пористой среды в зависимости от вида блокирующего коэффициента фильтрации. Показано, что в зависимости от кратности корня коэффициента фильтрации процесс фильтрации может длиться неограниченно, либо может прекратиться через некоторое время. Получена зависимость концентрации осажденных частиц от времени при различных значениях кратности корня коэффициента фильтрации. Построены графики концентрации осадка для гладких и негладких коэффициентов фильтрации.
The study of filtration of suspended solid particles in a porous medium is necessary for the design of hydraulic facilities, for concreting loose soil, for the creation of treatment complexes, in the oil industry, and so on. A long-term deep filtration of a suspension in a porous medium with a mechanical-geometric mechanism of solid particles capture is considered. The dynamics of the concentration of retained particles at the porous medium inlet is studied depending on the type of the blocking filtration coefficient. It is shown that, depending on the multiplicity of the root of the filtration coefficient, the filtration process can last indefinitely, or it may stop after a while. The dependence of the concentration of retained particles on time is obtained for different values of the multiplicity of the root of the filtration coefficient. Plots of deposit concentration for smooth and non-smooth filtration coefficients are obtained.
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