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Asymptotics of inverse filtration problem in porous media
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 of the asymptotics with the
suspended particles concentration at the outlet of the porous medium allows solving the inverse
filtration problem on finding the nonlinear filtration function. The proposed method allows to
obtain the filtration function based on the results of standard laboratory experiments.
In book
Vol. 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
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
Liudmila Kuzmina, Osipov Y., , in : IOP Conference Series: Materials Science and Engineering, Volume 365, Safety in Construction XXI International Scientific Conference on Advanced in Civil Engineering "Construction - The Formation of Living Environment" (FORM 2018). Vol. 365.: IOP Publishing, 2018. Ch. 042003. P. 1-7.
Modelling of the suspended particles transport in a porous medium is used in the analysis of methods for strengthening foundations. To strengthen the porous soil, a low concentration cement-based grout is pumped into it under pressure. The suspension is filtered in a porous medium and fills the cavity of the soil. Grains of the grout ...
Added: November 2, 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
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
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
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
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
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
Liudmila Kuzmina, Osipov Y., , in : IOP Conference Series: Materials Science and Engineering: XXVIII R-P-S Seminar 2019 9–13 September 20, 19, ŽilinaSlovakia. Vol. 661: XXVIII R-P-S Seminar 2019 9–13 September 2019, Žilina, Slovakia.: IOP Publishing, 2019. Ch. 012122. P. 1-8.
Filtration problems in porous media are important for studying the movement of groundwater in porous formations and the spreading of liquid concrete injected into porous soil. Deep bed filtration of a monodisperse suspension in a homogeneous porous medium with two simultaneously acting particle capture mechanisms is considered. A mathematical model of suspension flow through porous ...
Added: July 2, 2020
Kuzmina L., Osipov Y., , in : MATEC Web of Conferences. 5th International Scientific Conference “Integration, Partnership and Innovation in Construction Science and Education”. Moscow, Russia, October 16-17, 2016. Т. 86.: [б.и.], 2016. Ch. 01005. P. 1-5.
Added: March 3, 2017
Кузьмина Л.И., Осипов Ю. В., В кн. : Вопросы прикладной математики и вычислительной механики. Сборник научных трудов. Вып. 17.: М. : Национальный исследовательский Московский государственный строительный университет, 2014. С. 295-304.
A mathematical model of particle motion in the filter based on mechanical-geometrical interaction of particles with a porous medium is considered. Near the wave front an asymptotic solution of a quasi-linear system of partial differential equations for suspended and deposited particle concentrations is constructed. For a linear filtration coefficient asymptotics is compared with the exact ...
Added: September 7, 2014
Korotyaev E., Леонова Е. О., / arXive. Series arXie "Statistical mechanics". 2022.
We solve the inverse problem for Jacobi operators on the half lattice with finitely supported perturbations, in particular, in terms of resonances. Our proof is based on the results for the inverse eigenvalue problem for specific finite Jacobi matrices and theory of polynomials. We determine forbidden domains for resonances and maximal possible multiplicities of real ...
Added: September 26, 2022
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
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
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
Liudmila Kuzmina, Osipov Y., , in : IOP Conference Series: Materials Science and Engineering Volume 869, 2020 XXIII International Scientific Conference on Advance in Civil Engineering: "CONSTRUCTION - THE FORMATION OF LIVING ENVIRONMENT" (FORM-2020) 23-26 September 2020, Hanoi, Vietnam. Vol. 869: XXIII International Scientific Conference on Advance in Civil Engineering: "CONSTRUCTION - THE FORMATION OF LIVING ENVIRONMENT" (FORM-2020) 23-26 September 2020, Hanoi, Vietnam. Issue 5: RELIABILITY OF BUILDINGS AND CONSTRUCTIONS.: IOP Publishing, 2020. Ch. 052001. P. 1-7.
The problems of filtration in porous media are in demand when strengthening
foundations and building waterproof walls in rocks. Deep bed filtration of a highly
concentrated monodisperse suspension in a homogeneous porous medium with size-exclusion
particle retention mechanism is considered. When filtering a suspension in a porous medium,
some solid particles get stuck on the porous frame and form ...
Added: January 7, 2021
Razorenova A., Yavich N., Malovichko M. et al., / Cold Spring Harbor Laboratory. Series 005140 "Biorxiv". 2020.
Electroencephalography (EEG) is a well-established non-invasive technique to measure the brain activity, albeit with a limited spatial resolution. Variations in electric conductivity between different tissues distort the electric fields generated by cortical sources, resulting in smeared potential measurements on the scalp. One needs to solve an ill-posed inverse problem to recover the original neural activity. ...
Added: November 10, 2020
Ludmila I. Kuzmina, Osipov Y., International Journal for Computational Civil and Structural Engineering 2014 Vol. 10 No. 3 P. 17-22
A size-exclusion model of solid particle capture for a flow of suspension in a porous media is considered. For a quasi-linear system of equations for the concentration of suspended and retainrd particles the asymptotic solution is constructed near the filter inlet. For linear filtration coefficient the numerical comparison of the asymptotics and the exact solution ...
Added: September 14, 2014
E. L. Korotyaev, Functional Analysis and Its Applications 2019 Vol. 53 No. 3 P. 174-181
We give a complete solution to the inverse problem for finite Jacobi operators with matrix-valued coefficients. ...
Added: February 5, 2021
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
Inverse problems in Pareto’s demand theory and their applications to analysis of stock market crises
Klemashev N., Shananin A. A., Zhang S., Journal of Inverse and Ill-posed problems 2016 Vol. 26 No. 1 P. 95-108
We develop an approach to analysis of stock market crises based on the generalized nonparametric method. The generalized nonparametric method is based on solvability and regularization of ill-posed inverse problem in Pareto's demand theory. Our approach allows one to select a few companies that may be considered as the main reason for the crisis. We ...
Added: March 5, 2019
Danilov V., , in : Linear and non-linear theory of generalized functions and its applications. Vol. 88.: Warsz. : PWN, 2010. P. 55-65.
We explain the relation between the weak asymptotics method introduced by the author and V. M. Shelkovich and the classical Maslov-Whitham method for constructing approximate solutions describing the propagation of nonlinear solitary waves. ...
Added: April 12, 2012
V.S.Samovol, Mathematical notes 2015 Vol. 97 No. 1-2 P. 100-110
Emden-Fowler type equations of arbitrary order are considered. The paper contains asymptotic estimates of nonoscillating continuable and noncontinuable solutions of such equations. ...
Added: October 8, 2015