THE INVERSE PROBLEM OF DETERMINING THE KINETIC COEFFICIENTS IN THE MODEL OF SUSPENSION FILTRATION IN A POROUS MEDIUM

被引：0

作者：

Khuzhayorov, B. ^{[1
]}

Begmatov, T. ^{[1
]}

Kholiyarov, E. ^{[2
]}

Fayziev, B. ^{[1
]}

机构：

[1] Samarkand State Univ, 15 st Univ blv, Samarkand 140100, Uzbekistan

[2] Pedag Inst Termez State Univ, Termez 190111, Uzbekistan

来源：

EURASIAN JOURNAL OF MATHEMATICAL AND COMPUTER APPLICATIONS | 2022年 / 10卷 / 04期

关键词：

identification method; inverse problem; regularization; solution stability; suspension filtration; DEEP-BED FILTRATION; DEPOSITION; PARTICLES; FLOW; TRANSPORT; WATER;

D O I：

10.32523/2306-6172-2022-10-4-96-106

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The paper considers a mathematical model for the filtration of a monodisperse suspension in a homogeneous porous medium, which consists of a mass balance equation for suspended particles and a kinetic equation for deposited particles. The multistage deposition kinetics is considered. An inverse problem was posed and numerically solved to determine the kinetic parameters in two stages of the kinetics of deposition. For this, a modified identification method was used. Results show that in the case of initial approximations away from the equilibrium point, the number of iterations increases, but the coefficients are recovered with satisfactorily errors.

引用

页码：96 / 106

页数：11

共 50 条

[21] Stability Estimates in Determining Robin Coefficients for Biharmonic Inverse Problem
Hadj, Abdelhak
IRANIAN JOURNAL OF SCIENCE, 2025,
[22] Mathematical Model of Deep-Bed Filtration of a Two-Component Suspension through a Porous Medium
Makhmudov, Zh M.
Saidullaev, U. Zh
Khuzhayorov, B. Kh
FLUID DYNAMICS, 2017, 52 (02) : 299 - 308
[23] A Deep Bed Filtration Model of Two-Component Suspension in Dual-Zone Porous Medium
Khuzhayorov, Bakhtiyor
Fayziev, Bekzodjon
Ibragimov, Gafurjan
Arifin, Norihan Md
APPLIED SCIENCES-BASEL, 2020, 10 (08):
[24] Mathematical model of deep-bed filtration of a two-component suspension through a porous medium
Zh. M. Makhmudov
U. Zh. Saidullaev
B. Kh. Khuzhayorov
Fluid Dynamics, 2017, 52 : 299 - 308
[25] Problem of Deep Bed Filtration in a Porous Medium with the Initial Deposit
Galaguz, Yu. P.
Kuz'mina, L. I.
Osipov, Yu. V.
FLUID DYNAMICS, 2019, 54 (01) : 85 - 97
[26] ON THE FILTRATION PROBLEM IN A POROUS NONHOMOGENEOUS NON-ISOTROPIC MEDIUM
RADKEVICH, EV
RUSSIAN MATHEMATICAL SURVEYS, 1980, 35 (01) : 229 - 230
[27] On the uniqueness of the solution of a nonlinear filtration problem through a porous medium
Lyaghfouri, A
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 1998, 6 (01) : 67 - 94
[28] Problem of Deep Bed Filtration in a Porous Medium with the Initial Deposit
Yu. P. Galaguz
L. I. Kuz’mina
Yu. V. Osipov
Fluid Dynamics, 2019, 54 : 85 - 97
[29] On the uniqueness of the solution of a nonlinear filtration problem through a porous medium
Lyaghfouri A.
Calculus of Variations and Partial Differential Equations, 1997, 6 (1) : 67 - 94
[30] Inverse problem of determining the density and two Lame coefficients by boundary data
Bellassoued, M.
Imanuvilov, O.
Yamamoto, M.
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2008, 40 (01) : 238 - 265

← 1 2 3 4 5 →