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Filtration of Forward end Back Flow of Suspension in Porous Media
International Journal for Computational Civil and Structural Engineering. 2016. Vol. 12. No. 3. P. 145-150.
Ludmila I. Kuzmina, Osipov Y.
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.
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
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., 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
Kuzmina L., Osipov Y., MATEC Web of Conferences 2016 Vol. 86 No. 01005 P. 1-5
The problem of filtering the suspension in a porous medium is considered. The proposed model for the transport of particles of different sizes is a generalization of deep bed filtration model for a monodisperse suspension with size-exclusion particle capture mechanism. Exact and asymptotic solutions are constructed at the filter inlet and on the concentration front ...
Added: November 28, 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
L.I. Kuzmina, Nazaikinskii V. E., Osipov Y. V., Russian Journal of Mathematical Physics 2019 Vol. 26 No. 1 P. 130-134
We consider an initial{boundary value problem for a simple semilinear ltration
equation with nonunique characteristics and prove that uniqueness nevertheless holds for the
solution of this problem. The solution is then constructed by quadratures. ...
Added: February 14, 2019
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
Rabinowitch A. S., Journal of Mathematical Physics 2016 Vol. 57 P. 083103-1-083103-6
Added: October 5, 2019
Nazaikinskii V., BEDRIKOVETSKY P., LIUDMILA I. KUZMINA et al., SIAM Journal on Applied Mathematics 2020 Vol. 80 No. 5 P. 2120-2143
An initial-boundary value problem for a quasilinear system describing deep bed ltration of a monodisperse suspension in a medium with pores of various sizes is investigated analytically.
The ltration function is assumed to have power-law type while tending to zero with the power index
lower than one. We found that this assumption has two consequences: (i) the ...
Added: January 7, 2021
Kuzmina, L.I., Osipov, Y. V., Gorbunova, T. N., Applied Mathematics and Mechanics (English Edition) 2021 Vol. 42 No. 1 P. 109-126
A model for deep bed filtration of a polydisperse suspension with small
impurities in a porous medium is considered. Different suspended particles move with
the same velocity as the carrier water and get blocked in the pore throats due to the
size-exclusion mechanism of particle retention. A solution of the model in the form of a
traveling wave is ...
Added: January 7, 2021
Gromov E., Наседкина Т. В., Tyutin V. V., Труды НГТУ им. Р.Е. Алексеева 2014 № 2(104) С. 320-325
Purpose: Dynamics of solitons is considered in the framework of the extended nonlinear Schrödinger equation including a pseudo-stimulated-Raman-scattering term, i.e., a spatial-domain counterpart of the stimulated-Raman-scattering term, which is a known ingredient of the temporal-domain nonlinear Schrödinger equation in optics. Also included is inhomogeneity of the spatial second-order dispersion in kink-type form.
Approach: Soliton’s dynamic investigated ...
Added: June 17, 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
Abrashkin A. A., Discrete and Continuous Dynamical Systems 2019 Vol. 39 No. 8 P. 4443-4453
A class of non-stationary surface gravity waves propagating in the
zonal direction in the equatorial region is described in the f -plane approx
imation. These waves are described by exact solutions of the equations of
hydrodynamics in Lagrangian formulation and are generalizations of Gerstner
waves. The wave shape and non-uniform pressure distribution on a free sur
face depend on two ...
Added: June 19, 2019
Ludmila I. Kuzmina, Osipov Y., Vetoshkin N., International Journal for Computational Civil and Structural Engineering 2018 Vol. 14 No. 1 P. 92-101
The filtration problem in a porous medium is an important part of underground hydromechanics. Filtration of suspensions and colloids determines the processes of strengthening the soil and creating waterproof walls in the ground while building the foundations of buildings and underground structures. It is assumed that the formation of a deposit is dominated by the ...
Added: July 1, 2018
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
Galaguz Y. P., L.I.Kuz'mina, Osipov Y. V., Fluid Dynamics (РФ) 2019 Vol. 54 No. 1 P. 85-97
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 retained-particle mobilization 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 nonuniformly distributed ...
Added: June 7, 2019
Tlyachev T. V., Chebotarev A.M., Chirkin A. S., Physica Scripta 2013 Vol. 153 P. 014060-014064
A new approach is proposed to solve the quantum evolution problem for a system with an arbitrary number of coupled optical parametric processes. Our method is based on the canonical transformations which define the evolution of the system in the Heisenberg picture. This theory overcomes the difficulties arising in the Wei–Norman method. The application of ...
Added: January 15, 2014
Lyudmila I. Kuzmina, Osipov Y., Zheglova Y., International Journal for Computational Civil and Structural Engineering 2019 Vol. 15 No. 2 P. 77-85
Filtration of the suspension in a porous medium is important when strengthening the soil and creating
watertight partitions for the construction of tunnels and underground structures. A model of deep bed filtration
with variable porosity and fractional flow, and a size-exclusion mechanism of particle retention are considered.
A global asymptotic solution is constructed in the entire domain in ...
Added: July 7, 2019
Kuzmina L., Osipov Y., MATEC Web of Conferences 2017 Vol. 117 No. 00097 P. 1-6
The study of filtration of the suspension in a porous medium is a vital problem in the design and construction of tunnels and hydraulic structures. An exact solution is constructed for an unsteady flow of a monodisperse suspension in a homogeneous porous medium with sizeexclusion mechanism for particle retention. The concentrations of suspended and precipitated ...
Added: September 7, 2017
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
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
Chebotarev A., Радионов А. А., Тлячев Т. В., Математические заметки 2012 Т. 92 № 5 С. 762-777
We consider the multimode generalization of the normally ordered factorization formula of squeezings. This formula allows us to establish relationships between various representations of squeezed states, to calculate partial traces, mean values, and variations. The main results are expressed in terms of the matrix representation of canonical transformations which is a convenient and numerically stable ...
Added: January 15, 2014
Galkin O., Galkina S., / Cornell University. Series math "arxiv.org". 2020. No. arXiv:2012.07174.
This short communication (preprint) is devoted to mathematical study of evolution equations that are important for mathematical physics and quantum theory; we present new explicit formulas for solutions of these equations and discuss their properties. The results are given without proofs but the proofs will appear in the longer text which is now under preparation.
In ...
Added: December 13, 2020