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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.
А.В. Перескоков, В кн.: Воронежская зимняя матаматическая школа С. Г. Крейна - 2026.: Воронеж: Издательский дом ВГУ, 2026. С. 237–239.
Рассмотрена задача на собственные значения
для возмущенного резонансного осциллятора. Найдены
асимптотические разложения когерентных состояний алгебры вращений.
Показано, что асимптотические собственные функции локализованы вблизи окружности.
Построено разложение асимптотических собственных функций вблизи этой окружности. ...
Added: June 25, 2026
Pochinka O., Shmukler V., Yakovlev E., Russian Journal of Nonlinear Dynamics 2026 Vol. 22 No. 2 P. 427–435
Every discrete dynamical system (cascade) generated by a homeomorphism induces a continuous dynamic system (flow) — a suspension. However, not every flow is equivalent to a suspension over a cascade, a necessary and sufficient condition for this is the existence of a global section for the flow. In the case of the existence, the flow ...
Added: May 9, 2026
Keykhosravi A., Rehman S., Osipov Y. et al., GEOENERGY SCIENCE AND ENGINEERING 2026 Vol. 261 Article 214375
Injectivity decline due to injection of colloidal suspensions and emulsions occur in numerous areas of geo-energy production, geo- and environmental engineering. This phenomenon is attributed to colloidal capture by porous media resulting in permeability decrease. The shortcoming of the traditional analytical model predicting injectivity decline is the assumption of constant filtration coefficient (probability of the capture) leading ...
Added: February 25, 2026
Kuzmina L., Осипов Ю. В., Строительные материалы 2025 № 10 С. 83–87
Models of transport and filtration of small particles in porous media are used in the construction industry when designing foundations and underground structures. A liquid with particles moves through the channels of a porous soil. When particles are transported, some of them are locked in the pores and form a sediment. If the fluid flows ...
Added: February 25, 2026
Nozdrinova E., Pochinka O., Shmukler V. et al., Russian Journal of Mathematical Physics 2025 Vol. 32 P. 129–140
One of the constructions for obtaining flows on a manifold is the construction of a suspension over a diffeomorphism. S. Smale showed that suspensions over conjugate diffeomorphisms are topologically equivalent. The converse is not true in the general case. A classic illustration of this fact are examples of non-conjugate diffeomorphisms of a circle whose suspensions ...
Added: May 6, 2025
Л.И. Кузьмина, Осипов Ю. В., Строительные материалы 2024 № 8 С. 63–68
Фильтрация суспензий и коллоидов в пористых материалах встречается при строительстве и эксплуатации гидросооружений, туннелей и подземных хранилищ. Модели фильтрации используются при расчете проникновения укрепителя в рыхлый грунт, при очистке питьевой воды и промышленных стоков. В процессе фильтрации взвешенные частицы проходят через крупные поры и застревают на входе пор малого диаметра. Задержанные частицы образуют неподвижный осадок. ...
Added: October 31, 2024
Liudmila I. Kuzmina, Osipov, Y., Pesterev, A., International Journal of Non-Linear Mechanics 2024 Vol. 167 Article 104905
We consider filtration of a suspension in a homogeneous porous medium which is described by a macroscopic 1-D model including the mass exchange equation and the kinetic equation for deposit growth. The standard model assumes that suspended particles move at the same speed as the carrier fluid. However, in some experiments, a lag between the ...
Added: October 31, 2024
Kuzmina L., Osipov, Y. V., Astakhov, M. D., Mathematical Methods in the Applied Sciences 2024 Vol. 47 No. 11 P. 8319–8341
A one‐dimensional deep bed filtration model of a polydisperse suspension or colloid in a porous medium is considered. The model includes a quasilinear system of 2n equations for concentrations of suspended and retained particles of n types. The problem is reduced to a closed 3 × 3 system for total concentrations of suspended and retained ...
Added: June 27, 2024
L. I. Kuzmina, Osipov Y. V., Pesterev A. R., Applied Mathematics and Mechanics (English Edition) 2024 Vol. 45 No. 2 P. 355–372
Many phenomena in nature and technology are associated with the filtration of suspensions and colloids in porous media. Two main types of particle deposition, namely, cake filtration at the inlet and deep bed filtration throughout the entire porous medium, are studied by different models. A unified approach for the transport and deposition of particles based ...
Added: June 27, 2024
Arzhantsev I., Zaitseva Y., Research in Mathematical Sciences 2024 Vol. 11 No. 2 Article 27
An algebraic variety X is called a homogeneous variety if the automorphism group Aut(X) acts on X transitively, and a homogeneous space if there exists a transitive action of an algebraic group on X. We prove a criterion of smoothness of a suspension to construct a wide class of homogeneous varieties. As an application, we ...
Added: March 23, 2024
Liudmila I. Kuzmina, Osipov, Y., Pesterev, A., International Journal for Computational Civil and Structural Engineering 2023 Vol. 19 No. 3 P. 39–48
During construction, a liquid solution of a grout or waterproof filler is pumped into porous rock to improve its properties. The filtration of a suspension moving at a variable speed in a porous medium is simulated. A one-dimensional problem of filtration in a homogeneous porous medium with a curvilinear concentration front of suspended and retained ...
Added: October 31, 2023
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 2497Vol. 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
Kuzmina L., ОСИПОВ Ю. В., СОСЕДКА М. Г., Промышленное и гражданское строительство 2022 Т. 7 С. 48–53
When constructing underground storage facilities for hazardous waste, watertight walls in the ground are
required. A liquid solution is pumped into the porous rock, which is filtered in the pores of the rock and, when
solidified, clogs them. During deep bed filtration, some particles are retained on the framework of the porous medium
and form a stable precipitate. ...
Added: October 26, 2022
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
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
Koroleva Y., Khanukaeva D., Electronic Journal of Differential Equations 2021 Vol. 2021 No. 74 P. 1–16
We study a model problem on the filtration of micropolar fluid in the framework of a cell model technique. A porous medium is presented as an
assemblage of axially symmetric cells of an arbitrarily geometry. Each cell consists of a solid core, porous layer and liquid shell.
The influence of the neighboring cells is taken into account ...
Added: September 20, 2021
Liudmila Kuzmina, Osipov Y. V., Tzariova V., , in: IOP Conference Series: Materials Science and Engineering 1030 (2021) VII International Scientific Conference "Integration, Partnership and Innovation in Construction Science and Education" (IPICSE 2020) 11th-14th November 2020, Tashkent, UzbekistanVol. 1030: VII International Scientific Conference "Integration, Partnership and Innovation in Construction Science and Education" (IPICSE 2020) 11th-14th November 2020, Tashkent, Uzbekistan.: IOP Publishing, 2021. Ch. 012109 P. 1–7.
Filtration problems arise in the design of tunnels and underground structures. A onedimensional
filtration model of a monodisperse suspension in a homogeneous porous medium
is considered. For a general nonlinear filtration function, an asymptotic solution is constructed
behind the concentrations front of suspended and retained particles. It is shown that the
asymptotics is close to the numerical solution. Comparison ...
Added: July 3, 2021
Байгушева Ю. В., Закон 2020 № 10 С. 50–59
The article analyses Art. 183 of the Civil Code of the Russian Federation, which refers to the contract of obligation by representative without authority. The author believes that the rights and obligations stipulated by this agreement arise only with the approval of the person represented. In relation to the contract, approval is a suspensive condicio ...
Added: November 12, 2020
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