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Inverse Problem of Filtering the Suspension in Porous Media
International Journal for Computational Civil and Structural Engineering. 2015. Vol. 11. No. 1. P. 34-41.
Ludmila I. Kuzmina, Osipov Y.
The mathematical model of filtering the suspension in a porous medium and its asymptotic solution
behind the concentration front depend on several parameters. These parameters are determined by the given
values of concentrations of suspended and retained particles at the filter inlet and outlet. An estimation of the
method`s error is given.
Кузьмина Л.И., Осипов Ю. В., Вестник Московского государственного строительного университета 2016 № 2 С. 49-61
The problem of filtering a suspension of tiny solid particles in a porous medium is con-sidered. The suspension with constant concentration of suspended particles at the filter inlet moves through the empty filter at a constant speed. There are no particles before the front; behind the front of the fluid flow solid particles interact with ...
Added: February 26, 2016
Ludmila I.Kuzmina, Osipov Y., Galaguz Y., International Journal for Computational Civil and Structural Engineering 2017 Vol. 13 No. 3 P. 70-76
The study of filtration as one of the problems of underground hydromechanics is necessary for the design and construction of tunnels, underground and hydraulic structures. Deep bed filtration of suspension in a porous medium with variable porosity and permeability and with an initial deposit is considered. An asymptotic solution to a model with small limit ...
Added: January 6, 2018
Л.И. Кузьмина, Осипов Ю. В., Вестник Московского государственного строительного университета 2015 № 1 С. 54-62
The mechanical-geometric model of the suspension filtering in the porous media is considered. Suspended solid particles of the same size move with suspension flow through the porous media - a solid body with pores - channels of constant cross section. It is assumed that the particles pass freely through the pores of large diameter and ...
Added: February 9, 2015
Ludmila I. Kuzmina, Osipov Y., International Journal for Computational Civil and Structural Engineering 2016 Vol. 12 No. 1 P. 158-163
Asymptotic model of suspension filtration in a porous media is considered. Asymptotic solution of the fil-tration problem is constructed for large values of time. To determine the asymptotics an integral form of solution is used. The asymptotics is compared with numerical solution. ...
Added: April 4, 2016
Ludmila I. Kuzmina, Osipov Y., Procedia Engineering 2016 Vol. 153 P. 366-370
Problems of deep bed filtration of the suspension in a porous soil are important for the design and construction of tunnels and hydrotechnical structures. A size-exclusion model of solid particle capture in a porous media is considered. For deep bed filtration equations an asymptotic solution for the concentrations of suspended and retained particles is constructed ...
Added: September 11, 2016
L.I. Kuzmina, Osipov Y. V., Вестник Московского государственного строительного университета 2017 No. 11 P. 1278-1283
Subject: a groundwater filtration affects the strength and stability of underground and hydro-technical constructions. Research objectives: the study of one-dimensional problem of displacement of suspension by the flow of pure water in a porous medium. Materials and methods: when filtering a suspension some particles pass through the porous medium, and some of them are stuck ...
Added: January 6, 2018
Кузьмина Л.И., Осипов Ю. В., В кн. : Вопросы прикладной математики и вычислительной механики: сборник научных трудов. Т. 18.: М. : Издательство АСВ, 2015. С. 270-275.
Filtering the suspension in porous media is important for long-term assessment of the strength of soil in the construction of underground and hydraulic engineering structures. The geometrical and mechanical model of filtering is considered: solid particles pass freely through the larger pores, and get stuck at the entrance of tiny pores smaller than the diameter ...
Added: February 26, 2016
Ludmila I. Kuzmina, Osipov Y., International Journal for Computational Civil and Structural Engineering 2014 Vol. 10 No. 3 P. 17-22
A size-exclusion model of solid particle capture for a flow of suspension in a porous media is considered. For a quasi-linear system of equations for the concentration of suspended and retainrd particles the asymptotic solution is constructed near the filter inlet. For linear filtration coefficient the numerical comparison of the asymptotics and the exact solution ...
Added: September 14, 2014
Pogrebkov A., Boiti M., Pempinelli F., Theoretical and Mathematical Physics 2015 Vol. 185 No. 2 P. 1599-1613
We describe the properties of the Cauchy–Jost (also known as Cauchy–Baker–Akhiezer) function of the
Kadomtsev–Petviashvili-II equation. Using the ∂-method, we show that for this function, all equations
of the Kadomtsev–Petviashvili-II hierarchy are given in a compact and explicit form, including equations
for the Cauchy–Jost function itself, time evolutions of the Jost solutions, and evolutions of the potential
of the ...
Added: September 9, 2016
Ludmila I. Kuzmina, Osipov Y., Procedia Engineering 2015 Vol. 111 P. 491-494
Filtering the suspension in a porous soil is important for long-term evaluation of soil strength in the construction of underground and hydrotechnical structures. A size-exclusion model of solid particle capture for a flow of suspension in a porous media is considered: particles pass freely through the large pores and get stuck at the inlet of ...
Added: August 15, 2015
Ludmila I. Kuzmina, Osipov Y., International Journal for Computational Civil and Structural Engineering 2016 Vol. 12 No. 3 P. 145-150
Filtration problem of suspension with identical particles in a porous medium is considered. Physical and mathematical models for size-exclusion capture mechanism of suspended particles at the inlet of filter pores are presented. An exact solution is constructed for the forward and back flow of suspension in a porous medium in case of linear filtration coefficient. ...
Added: December 26, 2016
Bruning J., Grushin V. V., Dobrokhotov S. Y., Математические заметки 2012 Т. 92 № 2 С. 163-180
An example of Schrodinger and Klein-Gordon equations with fast oscillating coefficients is used to show that they can be averaged by an adiabatic approximation based on V.P. Maslov's operator method. ...
Added: December 24, 2012
Кузьмина Л.И., Осипов Ю. В., В кн. : Вопросы прикладной математики и вычислительной техники. Сборник трудов. Вып. 19.: М. : Издательский дом АСВ, 2016. С. 275-288.
The flow of monodispersed suspension in porous media with geometric capture mechanism of solid particles in filter pores is considered. Based on the integral representation of the solution the asymptotic solution of deep bed filtration problem near the concentration front is constructed and proved. ...
Added: September 11, 2016
Osipov Y., Kuzmina L., , in : Procedia Engineering, 153 (2016), XXV Polish – Russian – Slovak Seminar “Theoretical Foundation of Civil Engineering". Vol. 153.: Elsevier, 2016. P. 366-370.
Problems of deep bed filtration of the suspension in a porous soil are important for the design and construction of tunnels and hydrotechnical structures. A size-exclusion model of solid particle capture in a porous media is considered. For deep bed filtration equations an asymptotic solution for the concentrations of suspended and retained particles is constructed ...
Added: June 22, 2018
Кузьмина Л.И., Осипов Ю. В., Строительная механика и расчет сооружений 2017 № 1 С. 59-64
Filtration model of the suspension in a porous medium with two particle capture mechanisms is considered. The individual particles are retained by pores of small size, large pores are clogged by bridging – the groups of particles block the pore inlet forming stable arched bridges. For the linear filtration coefficients an exact and asymptotic solutions ...
Added: February 20, 2017
Zhukova N. I., Proceedings of the Steklov Institute of Mathematics 2012 Vol. 278 No. 1 P. 94-105
We prove that any compact manifold whose fundamental group contains an abelian normal subgroup of positive rank can be represented as a leaf of a structurally stable suspended foliation on a compact manifold. In this case, the role of a transversal manifold can be played by an arbitrary manifold. We construct examples of structurally stable ...
Added: October 19, 2014
V.S.Samovol, Mathematical notes 2015 Vol. 97 No. 1-2 P. 100-110
Emden-Fowler type equations of arbitrary order are considered. The paper contains asymptotic estimates of nonoscillating continuable and noncontinuable solutions of such equations. ...
Added: October 8, 2015
N. I. Zhukova, Труды Математического института им. В.А. Стеклова РАН 2012 Т. 278 С. 102-113
We prove that any compact manifold whose fundamental group contains an abelian normal subgroup of positive rank can be represented as a leaf of a structurally stable suspended foliation on a compact manifold. In this case, the role of a transversal manifold can be played by an arbitrary manifold. We construct examples of structurally stable ...
Added: September 28, 2014
Mangolte F., Kuyumzhiyan K., Journal of Pure and Applied Algebra 2012 Vol. 216 No. 10 P. 2106-2112
A group G acts infinitely transitively on a set Y if for every positive integer m, its action is m-transitive on Y. Given a real affine algebraic variety Y of dimension greater than or equal to 2, we show that, under a mild restriction, if the special automorphism group of Y (the group generated by ...
Added: September 10, 2012
Л.И. Кузьмина, Осипов Ю. В., International Journal for Computational Civil and Structural Engineering 2017 Т. 13 № 1 С. 63-68
Filtration of the suspension in a porous medium with a geometric particle capture mechanism is considered. The porous medium has an initial deposit unevenly distributed across the filter. The nonlinear model of deep bed filtration suggests that the porosity and permeability of the porous medium depend on the deposit. The asymptotics of the movable boundary ...
Added: January 6, 2018
Borzykh D., ЛЕНАНД, 2021
Книга представляет собой экспресс-курс по теории вероятностей в контексте начального курса эконометрики. В курсе в максимально доступной форме изложен тот минимум, который необходим для осознанного изучения начального курса эконометрики. Данная книга может не только помочь ликвидировать пробелы в знаниях по теории вероятностей, но и позволить в первом приближении выучить предмет «с нуля». При этом, благодаря доступности изложения и небольшому объему книги, ...
Added: February 20, 2021
Kotelnikova M. V., Aistov A., Вестник Нижегородского университета им. Н.И. Лобачевского. Серия: Социальные науки 2019 Т. 55 № 3 С. 183-189
The article describes a method that allows to improve the content of disciplines of the mathematical cycle by dividing them into invariant (general) and variable parts. The invariants were identified for such disciplines as «Linear algebra», «Mathematical analysis», «Probability theory and mathematical statistics» delivered to Bachelors program students of economics at several universities. Based on ...
Added: January 28, 2020
В. Л. Попов, Математические заметки 2017 Т. 102 № 1 С. 72-80
Мы доказываем, что аффинно-треугольные подгруппы являются борелевскими подгруппами групп Кремоны. ...
Added: May 3, 2017
Красноярск : ИВМ СО РАН, 2013
Труды Пятой Международной конференции «Системный анализ и информационные технологии» САИТ-2013 (19–25 сентября 2013 г., г.Красноярск, Россия): ...
Added: November 18, 2013