Application of continuous time random walks to transport in porous media

被引:64
作者
Margolin, G [1 ]
Berkowitz, B [1 ]
机构
[1] Weizmann Inst Sci, Dept Environm Sci & Energy Res, IL-76100 Rehovot, Israel
来源
JOURNAL OF PHYSICAL CHEMISTRY B | 2000年 / 104卷 / 16期
关键词
D O I
10.1021/jp993721x
中图分类号
O64 [物理化学(理论化学)、化学物理学];
学科分类号
070304 ; 081704 ;
摘要
The behavior of chemical species as they migrate through heterogeneous porous media is considered. The so-called "anomalous'' transport patterns frequently measured in these materials are quantified in the framework of a continuous time random walk (CTRW) formalism. The physical basis for application of the CTRW is discussed, and new solutions for the first passage time distribution are presented to covet the entire range of transport behaviors. Application of these solutions to analysis of experimental data is also discussed.
引用
收藏
页码:3942 / 3947
页数:6
相关论文
共 10 条
[1]  
Bear J., 1988, DYNAMICS FLUIDS PORO
[2]   Anomalous transport in laboratory-scale, heterogeneous porous media [J].
Berkowitz, B ;
Scher, H ;
Silliman, SE .
WATER RESOURCES RESEARCH, 2000, 36 (01) :149-158
[3]   Theory of anomalous chemical transport in random fracture networks [J].
Berkowitz, B ;
Scher, H .
PHYSICAL REVIEW E, 1998, 57 (05) :5858-5869
[4]  
Montroll E. W., 1973, J STAT PHYS, V9, P101, DOI DOI 10.1007/BF01016843
[5]  
Neuman, 1997, SUBSURFACE FLOW TRAN
[6]   STOCHASTIC TRANSPORT IN A DISORDERED SOLID .2. IMPURITY CONDUCTION [J].
SCHER, H ;
LAX, M .
PHYSICAL REVIEW B, 1973, 7 (10) :4502-4519
[7]   STOCHASTIC TRANSPORT IN A DISORDERED SOLID .1. THEORY [J].
SCHER, H ;
LAX, M .
PHYSICAL REVIEW B, 1973, 7 (10) :4491-4502
[8]   ANOMALOUS TRANSIT-TIME DISPERSION IN AMORPHOUS SOLIDS [J].
SCHER, H ;
MONTROLL, EW .
PHYSICAL REVIEW B, 1975, 12 (06) :2455-2477
[9]   ASYMPTOTIC SOLUTIONS OF CONTINUOUS-TIME RANDOM-WALKS [J].
SHLESING.MF .
JOURNAL OF STATISTICAL PHYSICS, 1974, 10 (05) :421-434
[10]   STRANGE KINETICS [J].
SHLESINGER, MF ;
ZASLAVSKY, GM ;
KLAFTER, J .
NATURE, 1993, 363 (6424) :31-37