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Обоснование асимптотики задачи фильтрации вблизи фронта концентраций
С. 275-288.
Кузьмина Л.И., Осипов Ю. В.
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.
In book
Вып. 19. , М. : Издательский дом АСВ, 2016
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
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
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
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
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
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
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
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
Ludmila I. Kuzmina, Osipov Y., International Journal for Computational Civil and Structural Engineering 2015 Vol. 11 No. 1 P. 34-41
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. ...
Added: April 22, 2015
Liudmila Kuzmina, Osipov Y., , in : IOP Conference Series: Materials Science and Engineering, Volume 365, Safety in Construction XXI International Scientific Conference on Advanced in Civil Engineering "Construction - The Formation of Living Environment" (FORM 2018). Vol. 365.: IOP Publishing, 2018. Ch. 042003. P. 1-7.
Modelling of the suspended particles transport in a porous medium is used in the analysis of methods for strengthening foundations. To strengthen the porous soil, a low concentration cement-based grout is pumped into it under pressure. The suspension is filtered in a porous medium and fills the cavity of the soil. Grains of the grout ...
Added: November 2, 2018
Кузьмина Л.И., Осипов Ю. В., В кн. : Вопросы прикладной математики и вычислительной механики. Сборник научных трудов. Вып. 17.: М. : Национальный исследовательский Московский государственный строительный университет, 2014. С. 295-304.
A mathematical model of particle motion in the filter based on mechanical-geometrical interaction of particles with a porous medium is considered. Near the wave front an asymptotic solution of a quasi-linear system of partial differential equations for suspended and deposited particle concentrations is constructed. For a linear filtration coefficient asymptotics is compared with the exact ...
Added: September 7, 2014
Галагуз Ю. П., Kuzmina L., Осипов Ю. В., Известия РАН. Механика жидкости и газа 2019 № 1 С. 86-98
The macroscopic model of long-term deep-bed _filtration flow of a monodisperse suspension through a porous medium with size-exclusion particle-capture mechanism and without mobilization of retained particles is considered. It is assumed that the pore accessibility and the fractional particle flux depend on the deposit concentration and at the initial time the porous medium contains a ...
Added: February 14, 2019
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
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
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
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
Людмила Ивановна Кузьмина, ОСИПОВ Ю. В., ЦАРЕВА В. И., Промышленное и гражданское строительство 2020 № 6 С. 64-68
Filtration problem for a suspension in a porous medium characterize the injection of a liquid grout into porous rock to strengthen loose soil or create waterproof partitions during the construction of tunnels and underground structures. The suspension is injected under pressure into an empty homogeneous porous medium and moves from inlet to outlet. Some particles ...
Added: July 2, 2020
L. I. Kuzmina, Osipov, Y. V., Shaidullina, A. M., , in : Proceedings of the II Scientific Conference “Modelling and Methods of Structural Analysis” 11–13 November 2021 Moscow, Russian Federation. Volume 2497. Vol. 2497: Proceedings of the II Scientific Conference “Modelling and Methods of Structural Analysis”. Issue 1.: AIP Publishing LLC, 2023. Ch. 030011.
Filtration problems are investigated when calculating foundation fortifying in free soil, when planning tunnels and underground structures to make watertight dividers in porous rock. Amid the filtering of a liquid with tiny particles through a porous frame, some of the particles are trapped in the little pores and form immovable sediment. A 1D model of ...
Added: October 31, 2023
L I Kuzmina, Osipov Y., Zheglova Y., , in : VII International Symposium Actual Problems of Computational Simulation in Civil Engineering. Vol. 456.: IOP Publishing, 2018. Ch. 012051. P. 1-6.
The solution of the filtration problem allows calculating the injection of the grout
into a loose ground to create a solid foundation. The basic deep bed filtration model of a
monodisperse suspension in a porous medium is considered. Based on the synthesis of the
standard asymptotic solution for a short time and the asymptotics of the filtration problem ...
Added: January 18, 2019
You Z., Osipov Y., Bedrikovetsky P. et al., Chemical Engineering Journal 2014 Vol. 258 P. 374-385
Asymptotic solution for non-linear stage of suspension-colloidal flow in porous media is developed. The expansion is performed behind the concentration front; the zero order approximation coincides with the short-time solution of the linearised system. Using the first order approximation allows significantly enhancing the validity time period for the analytical model if compared with the linearised ...
Added: August 3, 2014
Kuzmina L., Осипов Ю. В., Шайдуллина А. М., Промышленное и гражданское строительство 2021 № 10 С. 72-77
When designing tunnels and underground structures, filtration of particles in porous rock has to be
considered. Long-term, deep bed filtration of suspensions and colloids in a porous medium leads to the formation of
deposit in the pores and a change in the structure of the porous rock framework. The filtration model includes the
equation for the balance of ...
Added: October 26, 2022
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
Danilov V., , in : Linear and non-linear theory of generalized functions and its applications. Vol. 88.: Warsz. : PWN, 2010. P. 55-65.
We explain the relation between the weak asymptotics method introduced by the author and V. M. Shelkovich and the classical Maslov-Whitham method for constructing approximate solutions describing the propagation of nonlinear solitary waves. ...
Added: April 12, 2012
LIUDMILA I. KUZMINA, OSIPOV Y., International Journal for Computational Civil and Structural Engineering 2021 Vol. 17 No. 2 P. 43-49
During the construction of hydraulic and underground structures, a grout solution is pumped into the ground
to create waterproof partitions. The liquid grout is filtered in the porous rock and clogs the pores when hardened. The
mathematical model of deep bed filtration describes the transfer of suspension particles and colloids by a fluid flow through
the pores of ...
Added: October 18, 2021