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