### ?

## Filtration model of the unsteady suspension flow in a porous medium

MATEC Web of Conferences. 2017. Vol. 117. No. 00097. P. 1-6.

Kuzmina L., Osipov Y.

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 particles are calculated in case of a linear blocking filtration coefficient.

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

Gushchin A. A., Modern Stochastics: Theory and Applications 2020 Vol. 7 No. 2 P. 135-156

We define a single jump filtration generated by a nonnegative random variable on a given probability space. We prove a simple characterization of local martingales on this filtered space. This result seems to be new even if the filtration is the smallest one with respect to which the generating random variable is a stopping time. As a ...

Added: July 20, 2020

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

LIUDMILA I. KUZMINA, Osipov Y., International Journal for Computational Civil and Structural Engineering 2020 Vol. 16 No. 4 P. 50-56

Filtration of suspension in a porous medium is actual in the construction of tunnels and underground structures.
A model of deep bed filtration with size-exclusion mechanism of particle capture is considered. The inverse filtration
problem – finding the Langmuir coefficient from a given concentration of suspended particles at the porous medium outlet is solved using the asymptotic solution ...

Added: July 2, 2021

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

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

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

Gabbay D., Shapirovsky I., Shehtman V. B., Journal of Applied Logic 2014 Vol. 12 No. 4 P. 570-583

One of natural combinations of Kripke complete modal logics is the product, an operation that has been extensively investigated over the last 15 years. In this paper we consider its analogue for arbitrary modal logics: to this end, we use product-like constructions on general frames and modal algebras. This operation was first introduced by Y. ...

Added: March 24, 2015

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

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

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

Pochinka O., Shubin D., Applied Mathematics and Nonlinear Sciences 2020 Vol. 5 No. 2 P. 261-266

In the present paper we construct an example of 4-dimensional flows on $S^3\times S^1$ whose saddle periodic orbit has a wildly embedded 2-dimensional unstable manifold. We prove that such a property has every suspension under a non-trivial Pixton's diffeomorphism. Moreover we give a complete topological classification of these suspensions. ...

Added: October 14, 2019

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

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

Skripchenko A., Hubert P., Avila A., / Cornell University. Series math "arxiv.org". 2013. No. 1311.5361.

In this paper, we answer a question addressed by Pierre Arnoux. We prove that the Hausdorff dimension of the Rauzy gasket is less than 2. Also, this question is a very particular case of the conjecture stated by S.P. Novikov and A. Maltsev in 2003. ...

Added: March 3, 2014

Okounkov A., Aganagic M., Moscow Mathematical Journal 2017 Vol. 17 No. 4 P. 565-600

We associate an explicit equivalent descendent insertion to any relative insertion in quantum K-theory of Nakajima varieties.
This also serves as an explicit formula for off-shell Bethe eigenfunctions for general quantum loop algebras associated to quivers and gives the general integral solution to the corresponding quantum Knizhnik Zamolodchikov and dynamical q-difference equations. ...

Added: October 25, 2018

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

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

Grines V., Gurevich E., Pochinka O., Russian Mathematical Surveys 2017 Vol. 71 No. 6 P. 1146-1148

In the paper a Palis problem on finding sufficient conditions on embedding of Morse-Smale diffeomorphisms in topological flow is discussed. ...

Added: May 17, 2017

Alexandrov D. E., Galkin V. V., Zobnin A.I. et al., Journal of Mathematical Sciences 2009 Vol. 163 No. 5 P. 469-486

Sequential and parallel implementations of the F4 algorithm for computing Gr¨obner bases of
polynomial ideals are discussed. ...

Added: October 1, 2014

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

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

Min Namkung, Younghun K., Scientific Reports 2018 Vol. 8 No. 1 P. 16915-1-16915-18

Sequential state discrimination is a strategy for quantum state discrimination of a sender’s quantum
states when N receivers are separately located. In this report, we propose optical designs that can
perform sequential state discrimination of two coherent states. For this purpose, we consider not
only binary phase-shifting-key (BPSK) signals but also general coherent states, with arbitrary prior
probabilities. Since ...

Added: November 16, 2020

Arzhantsev I., Journal of Lie Theory 2000 Vol. 10 No. 2 P. 345-357

Added: July 8, 2014