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Асимптотическое решение задачи фильтрации суспензии в пористой среде при малом осадке
С. 270–275.
Кузьмина Л.И., Осипов Ю. В.
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 of the particles. The asymptotics of the suspended and retained particle concentrations in the suspension is constructed on the assumption of small deposit.
In book
Т. 18. , М.: Издательство АСВ, 2015.
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
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
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
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., 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
Dmitriev V. V., Kutuzov M. S., Soldatov A. A. et al., JETP Letters 2019 Vol. 110 No. 11 P. 748–749
We present results of nuclear magnetic resonance (NMR) experiments in superfluid 3He in two samples of nematic aerogel consisting of nearly parallel mullite strands. The samples were cut from the same piece of the aerogel, but one of them was squeezed by 30% in the direction transverse to the strands. In both samples the superfluid ...
Added: November 21, 2019
Liudmila Kuzmina, Osipov Y., Zheglova Y., , in: E3S Web of Conferences Volume 97 (2019) XXII International Scientific Conference “Construction the Formation of Living Environment” (FORM-2019)Vol. 97: XXII International Scientific Conference “Construction the Formation of Living Environment” (FORM-2019).: EDP Sciences, 2019. Ch. 05002 P. 1–8.
Filtration problems are actual for the design of underground structures and foundations, strengthening of loose soil and construction of watertight walls in the porous rock. A liquid grout pumped under pressure penetrates deep into the porous rock. Solid particles of the suspension retained in the pores, strengthen the loose soil and create watertight partitions. The ...
Added: July 7, 2019
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
L I Kuzmina, Osipov Y., , in: VII International Symposium Actual Problems of Computational Simulation in Civil EngineeringVol. 456.: IOP Publishing, 2018. Ch. 012052 P. 1–6.
Filtration describes a variety of the construction complex problems: strengthening
loose soil to create a solid foundation, the movement of groundwater with solid impurities near
underground structures, and many others. A model of two-sized deep bed filtration particles
moving with different velocities in a porous medium with three-size pores is considered. The
competition of pores and various size particles ...
Added: January 18, 2019
L I Kuzmina, Osipov Y., Zheglova Y., , in: VII International Symposium Actual Problems of Computational Simulation in Civil EngineeringVol. 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
Dmitriev V. V., Kutuzov M. S., Soldatov A. A. et al., JETP Letters 2018 Vol. 108 No. 12 P. 827–828
Magnetic materials generate demagnetizing field that depends on geometry of the sample and results in a shift of magnetic resonance frequency. This phenomenon should occur in porous nanostructures as well, e.g., in globally anisotropic aerogels. Here we report results of nuclear magnetic resonance (NMR) experiments with liquid 3He confined in anisotropic aerogels with different types of ...
Added: November 23, 2018
Dmitriev V. V., Kutuzov M. S., Melnikovsky L. A. et al., JETP Letters 2018 Vol. 108 No. 11 P. 772–773
We report the results of theoretical and experimental investigation of spin diffusion in the normal phase of liquid 3He confined in planar aerogel: a material consisting of nanostrands which are almost parallel to a specific plane and randomly oriented in this plane. Using spin echo technique we measure the spin diffusion coefficients in the directions perpendicular ...
Added: November 23, 2018