Modeling non‐Fickian transport in geological formations as a continuous time random walk

B Berkowitz, A Cortis, M Dentz… - Reviews of …, 2006‏ - Wiley Online Library
Non‐Fickian (or anomalous) transport of contaminants has been observed at field and
laboratory scales in a wide variety of porous and fractured geological formations. Over many …

Flow, transport, and reaction in porous media: Percolation scaling, critical‐path analysis, and effective medium approximation

AG Hunt, M Sahimi - Reviews of Geophysics, 2017‏ - Wiley Online Library
We describe the most important developments in the application of three theoretical tools to
modeling of the morphology of porous media and flow and transport processes in them. One …

[کتاب][B] Applied stochastic hydrogeology

Y Rubin - 2003‏ - books.google.com
Stochastic Subsurface Hydrogeology is the study of subsurface, geological heterogeneity,
and its effects on flow and transport process, using probabilistic and geostatistical concepts …

[کتاب][B] The handbook of groundwater engineering

JW Delleur - 2006‏ - books.google.com
A complete treatment of the theory and practice of groundwater engineering, The Handbook
of Groundwater Engineering, Second Edition provides a current and detailed review of how …

Eulerian derivation of the fractional advection–dispersion equation

R Schumer, DA Benson, MM Meerschaert… - Journal of contaminant …, 2001‏ - Elsevier
A fractional advection–dispersion equation (ADE) is a generalization of the classical ADE in
which the second-order derivative is replaced with a fractional-order derivative. In contrast to …

Transport of kinetically sorbing solute by steady random velocity in heterogeneous porous formations

V Cvetkovic, G Dagan - Journal of Fluid Mechanics, 1994‏ - cambridge.org
A Lagrangian framework is used for analysing reactive solute transport by a steady random
velocity field, which is associated with flow through a heterogeneous porous formation. The …

Multifaceted nature of hydrogeologic scaling and its interpretation

SP Neuman, V Di Federico - Reviews of Geophysics, 2003‏ - Wiley Online Library
Geology is ubiquitously heterogeneous, exhibiting both discrete and continuous spatial
variations on a multiplicity of scales. It is therefore natural to expect that hydrogeologic and …

A primer on upscaling tools for porous media

JH Cushman, LS Bennethum, BX Hu - Advances in Water Resources, 2002‏ - Elsevier
Over the last few decades a number of powerful approaches have been developed to
intelligently reduce the number of degrees of freedom in very complex heterogeneous …

Temporal behavior of a solute cloud in a heterogeneous porous medium: 1. Point‐like injection

M Dentz, H Kinzelbach, S Attinger… - Water Resources …, 2000‏ - Wiley Online Library
We investigate the temporal behavior of transport coefficients in a model for transport of a
solute through a spatially heterogeneous saturated aquifer. In the framework of a stochastic …

Nonreactive and reactive solute transport in three‐dimensional heterogeneous porous media: Mean displacement, plume spreading, and uncertainty

DT Burr, EA Sudicky, RL Naff - Water Resources Research, 1994‏ - Wiley Online Library
The field‐scale transport of reactive and nonreactive solutes by groundwater in a statistically
anisotropic aquifer is examined by means of high‐resolution, three‐dimensional numerical …