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Modelling uniform asymptotics of the filtration problem in a porous medium
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 for a
long time, a uniform asymptotic solution is constructed. A numerical calculation shows that the
asymptotics is close to the solution for any time.
In book
Vol. 456. , IOP Publishing, 2018.
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
Romanova T. V., Khomenko A., Legal Issues in the Digital Age 2022 Vol. 3 No. 2 P. 90–115
The article deals with validation of an integrative attribution algorithm based on the analysis of the author’s idiostyle using methods of interpretative linguistics with ob jectification of the available data with the help of mathematical statistics. The algo rithm addresses the identification problem of the attribution. The choice of parameters describing the individual style of ...
Added: March 12, 2025
M. R. Yanova, A. P. Zhiyanov, I. D. Antipenko et al., Doklady Biochemistry and Biophysics 2023 Vol. 513 P. 324–327
Gemcitabine monophosphate (dFdCMP), one of the intracellular forms of phosphorylated gemcitabine, determines its antitumor activity. A pharmaco-molecular model for determining relative gemcitabine monophosphate level based on the assessment of the activity of ENT1 and ENT2 channels as well as dCK and CDA enzymes in tumor tissue was developed. Relative gemcitabine monophosphate level is a more ...
Added: January 23, 2025
Liudmila I. Kuzmina, Osipov Y., , in: Proceedings of the 10th International Conference on Civil Engineering.: Singapore: Springer, 2024. P. 585–593.
Filtration problems of suspensions and colloids in porous media are considered when designing tunnels and underground structures. To strengthen weak soil, a liquid solution is injected into the rock, the particles of which are filtered in the pores and distributed far from the well. A deep bed filtration model of 2-particle suspension in a porous ...
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
Liudmila Kuzmina, Osipov Y., , in: BIO Web of Conferences: Volume 107:19th International Conference Water and Wastewater: Transportation, Treatment, Management “Yakovlev Readings” (YRC-2024)Vol. 107.: EDP Sciences, 2024. Ch. 03003.
The formation of grout sediment in the pores of loose rock increases the water resistance of the soil and strengthens the foundation. A one-dimensional model of filtration in a porous medium considers the particles transport by the flow of a carrier fluid and the deposition of particles on the framework of a porous medium. The ...
Added: June 27, 2024
Kuzmina L., Osipov Y., , in: Proceedings of the 8th International Technical Conference on Frontiers of HCET 2023. Advances in Transdisciplinary Engineering, Volume 43.: IOS Press, 2023. P. 450–455.
Suspension and colloid filtration in porous rocks is encountered in problems of underground hydromechanics associated with construction. The formation of grout sediment in the pores of loose rock increases the water resistance of the soil and strengthens the foundation. A one-dimensional model of filtration in a porous medium considers the particles transport by the flow ...
Added: June 27, 2024
Efremov Y., Ermolaeva A., Vladimirov G. et al., Plos One 2022 Vol. 17 No. 6 Article e0264903
Cardiovascular diseases associated with high cholesterol (hypercholesterolemia) and low-density lipoproteins (LDL) levels are significant contributors to total mortality in developing and developed countries. Mathematical modeling of LDL metabolism is an important step in the development of drugs for hypercholesterolemia. The aim of this work was to develop and to analyze an integrated mathematical model of ...
Added: March 12, 2024
Yanova M., Zhiyanov A., Antipenko I. et al., Доклады российской академии наук. Науки о жизни 2023 Т. 513 № 1 С. 581–585
Gemcitabine monophosphate (dFdCMP), one of the intracellular forms of phosphorylated gem- citabine, determines its antitumor activity. A pharmaco-molecular model for determining relative gemcit- abine monophosphate level based on the assessment of the activity of ENT1 and ENT2 channels as well as dCK and CDA enzymes in tumor tissue was developed. Relative gemcitabine monophosphate level is ...
Added: November 17, 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
L.I. Kuzmina, Osipov, Y. V., International Journal of Non-Linear Mechanics 2023 Vol. 150 Article 104363
Many technological processes of chemical and environmental engineering are associated with the filtration of fine particles in porous media, specifically in heterogeneous reservoirs. A one-dimensional model of deep bed filtration of suspensions and colloids in a heterogeneous porous medium is derived. The model includes the mass balance equation with variable porosity for the concentrations of ...
Added: May 19, 2023
Kuzmina L., Osipov, Y. V., Astakhov, M. D., Annali di Matematica Pura ed Applicata 2022 Vol. 201 No. 6 P. 2943–2964
During deep bed filtration of suspensions and colloids in a porous medium, some particles are retained in the pores and form a fixed deposit. A one-dimensional mathematical model of filtration with particles of two types is considered. Exact solution is derived. The existence and the uniqueness of the solution are proved by the method of ...
Added: October 26, 2022
Liudmila I. Kuzmina, Osipov Y., Astakhov M., International Journal for Computational Civil and Structural Engineering 2022 Vol. 18 No. 3 P. 86–94
During the construction of ground and underground structures, filtration of a liquid grout in loose soil makes it possible to strengthen the foundation and create underground waterproof partitions. A one-dimensional problem of filtering a bidisperse suspension in a homogeneous porous medium with size-exclusion particle capture mechanism is considered. The article is devoted to the calculation ...
Added: October 26, 2022
Aleksandr Belov, Monina M., Rakhmetullina Z., , in: 2022 IEEE International IOT, Electronics and Mechatronics Conference (IEMTRONICS 2022).: IEEE, 2022. P. 1–6.
Added: July 20, 2022
Серебрякова Ю. О., Polesskiy S., Korolev P., Известия высших учебных заведений. Приборостроение 2022 Т. 65 № 8 С. 597–611
It is shown in the article that not all mathematical models used to solve the problems of estimating the time of telecommunication equipment technological run take into account design and technological features. The existing statistics of failures of telecommunication equipment is given, proving the need to take into account design and technological features. It is ...
Added: June 5, 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
Khomenko A., Baranova Y., Romanov A. et al., , in: Компьютерная лингвистика и интеллектуальные технологииВып. 20 (27): Дополнительный том.: Изд-во РГГУ, 2021. P. 1063–1074.
This paper discusses approbation of an integrative attribution method for texts in the Russian language. The methodology goes after (Koppel, Schler 2003): computer program tries to imitate human expert work. So, it is based on interpretative language study with its objectification through mathematical statistics. The choice of parameters describing the author’s individual style is rooted ...
Added: August 11, 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
L I Kuzmina, Osipov Y. V., Astakhov M. D., , in: Journal of Physics: Conference Series 1926 (2021)Vol. 1926: Innovations and Technologies in Construction (BUILDINTECH BIT 2021) 9 th - 10th March 2021, Belgorod, Russia.: IOP Publishing, 2021. Ch. 012001 P. 1–7.
During the construction of underground storage of hazardous waste, it is necessary to create waterproof walls in the ground. The grout is filtered in the rock, fills the pores and, when hardened, creates a reliable barrier to groundwater. A one-dimensional model of the flow of inhomogeneous particles in a porous medium is considered. The retained ...
Added: July 3, 2021
The system of predictive analysis of Bank investments using technologies of supercomputer simulation
Belov A. V., Kurmanova K., Journal of Physics: Conference Series 2021 Vol. 1740 P. 1–6
The article discusses an approach to building a system for generating a bank investment prediction with the technology of parallel computing. We develop a predictive model of the price of securities for the banking business on the stock market. For predictive analysis of investments, the choice of a mathematical model was justified using the Monte ...
Added: January 27, 2021
Liudmila I. Kuzmina, Osipov Y., Zheglova Y., , in: Journal of Physics: Conference Series, Volume 1425, Modelling and Methods of Structural Analysis 13–15 November 2019, Moscow, Russian FederationVol. 1425.: IOP Publishing, 2020. Ch. 1425 P. 1–8.
Particle transport in a porous medium occurs in environmental, chemical and industrial technologies. The transport of suspended concrete grains in a liquid grout through porous soil is used in construction industry to strengthen foundations. When particles are transported by a fluid flow in a porous medium, some particles are retained in the pores and form ...
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