A model of two-velocity particles transport in a porous medium

被引：26

作者：

Kuzmina, Liudmila I. ^{[1
]}

Osipov, Yuri V. ^{[2
]}

Galaguz, Yuri P. ^{[2
]}

机构：

[1] Natl Res Univ, Dept Appl Math, Higher Sch Econ, 20 Myasnitskaya St, Moscow 101000, Russia

[2] Moscow State Univ Civil Engn, Natl Res Univ, Dept Appl Math, 26 Yaroslavskoe Shosse, Moscow 129337, Russia

来源：

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS | 2017年 / 93卷

关键词：

Porous media; Deep bed filtration; Suspended and retained particles; Mathematical model; Exact and asymptotic solutions; DEEP BED FILTRATION; PARTICULATE SUSPENSIONS;

D O I：

10.1016/j.ijnonlinmec.2017.04.015

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

A one-dimensional flow of suspension with two types of solid particles moving with different velocities in a porous medium is considered. A mathematical model of deep bed filtration which generalizes the known equations of mass balance and particle capture kinetics for a flow of fluid with identical particles is developed. The exact solution is evaluated at the filter inlet and on the concentration front of fast suspended and retained particles, asymptotic solutions are provided in certain vicinities of these lines. A global asymptotic solution to the problem with a small limit deposit is constructed. The asymptotics rapidly converges to the numerical solution.

引用

页码：1 / 6

页数：6

共 28 条

[1] Correction of basic equations for deep bed filtration with dispersion [J].

Altoé , JE ;

Bedrikovetsky, P ;

Siqueira, AG ;

de Souza, ALS ;

Shecaira, FS .

JOURNAL OF PETROLEUM SCIENCE AND ENGINEERING, 2006, 51 (1-2) :68-84

[2]

[Anonymous], TRANSPORT MODELLING

[3]

[Anonymous], 1990, Theory of Fluid Flows through Natural Rocks

[4]

[Anonymous], P MIPT

[5]

[Anonymous], 1993, Mathematical Theory of Oil and Gas Recovery

[6] The modeling of velocity enhancement in polymer flooding [J].

Bartelds, GA ;

Bruining, J ;

Molenaar, J .

TRANSPORT IN POROUS MEDIA, 1997, 26 (01) :75-88

[7] Characterisation of deep bed filtration system from laboratory pressure drop measurements [J].

Bedrikovetsky, P ;

Marchesin, D ;

Shecaira, F ;

Souza, AL ;

Milanez, PV ;

Rezende, E .

JOURNAL OF PETROLEUM SCIENCE AND ENGINEERING, 2001, 32 (2-4) :167-177

[8] A Theoretical Analysis of Colloid Attachment and Straining in Chemically Heterogeneous Porous Media [J].

Bradford, Scott A. ;

Torkzaban, Saeed ;

Shapiro, Alexander .

LANGMUIR, 2013, 29 (23) :6944-6952

[9] Effect of Gravity on Colloid Transport through Water-Saturated Columns Packed with Glass Beads: Modeling and Experiments [J].

Chrysikopoulos, Constantinos V. ;

Syngouna, Vasiliki I. .

ENVIRONMENTAL SCIENCE & TECHNOLOGY, 2014, 48 (12) :6805-6813

[10] Discussing porosity loss of Fe0 packed water filters at ground level [J].

Domga, Richard ;

Togue-Kamga, Fulbert ;

Noubactep, Chicgoua ;

Tchatchueng, Jean-Bosco .

CHEMICAL ENGINEERING JOURNAL, 2015, 263 :127-134

← 1 2 3 →