Modelling uniform asymptotics of the filtration problem in a porous medium

被引:1
作者
Kuzmina, L. I. [1 ]
Osipov, Y. V. [2 ]
Zheglova, Y. G. [2 ]
机构
[1] Natl Res Univ Higher Sch Econ, 20 Myasnitskaya St, Moscow 101000, Russia
[2] Natl Res Univ, Moscow State Univ Civil Engn, 26 Yaroslavskoe Shosse, Moscow 129337, Russia
来源
VII INTERNATIONAL SYMPOSIUM ACTUAL PROBLEMS OF COMPUTATIONAL SIMULATION IN CIVIL ENGINEERING | 2018年 / 456卷
关键词
DEEP-BED FILTRATION; TRANSPORT; EQUATION; FLOW;
D O I
10.1088/1757-899X/456/1/012051
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
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.
引用
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页数:6
相关论文
共 16 条
[1]   Asymptotic behavior for the filtration equation in domains with noncompact boundary [J].
Andreucci, Daniele ;
Tedeev, Anatoli F. .
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2017, 42 (03) :347-365
[2]  
Badalyan A, REV SCI I, V85, P1
[3]   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
[4]   Exact solutions for two-phase colloidal-suspension transport in porous media [J].
Borazjani, S. ;
Bedrikovetsky, P. .
APPLIED MATHEMATICAL MODELLING, 2017, 44 :296-320
[5]   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
[6]   On front solutions of the saturation equation of two-phase flow in porous media [J].
Hayek, Mohamed .
APPLIED MATHEMATICAL MODELLING, 2014, 38 (19-20) :4694-4704
[7]   FLOW OF SUSPENSIONS THROUGH POROUS MEDIA - APPLICATION TO DEEP FILTRATION [J].
HERZIG, JP ;
LECLERC, DM ;
LEGOFF, P .
INDUSTRIAL AND ENGINEERING CHEMISTRY, 1970, 62 (05) :8-&
[8]   A model of two-velocity particles transport in a porous medium [J].
Kuzmina, Liudmila I. ;
Osipov, Yuri V. ;
Galaguz, Yuri P. .
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2017, 93 :1-6
[9]  
[Кузьмина Людмила Ивановна Kuzmina Ludmila I.], 2016, [Международный журнал по расчету гражданских и строительных конструкций, International Journal for Computational Civil and Structural Engineering, Mezhdunarodnyi zhurnal po raschetu grazhdanskikh i stroitel'nykh konstruktsii], V12, P158
[10]   Exact solutions to the problem of deep-bed filtration with retardation of a jump in concentration within the framework of the nonlinear two-velocity model [J].
Leont'ev, N. E. .
FLUID DYNAMICS, 2017, 52 (01) :165-170