Thermodynamically constrained averaging theory approach for modeling flow and transport phenomena in porous medium systems: 5. Single-fluid-phase transport

WG Gray, CT Miller - Advances in water resources, 2009 - Elsevier
This work is the fifth in a series of papers on the thermodynamically constrained averaging
theory (TCAT) approach for modeling flow and transport phenomena in multiscale porous …

[HTML][HTML] Anomalous diffusion in porous media

JA Ferreira, G Pena, G Romanazzi - Applied Mathematical Modelling, 2016 - Elsevier
In this paper, an incompressible single phase and single component flow in a porous media
presenting a non-Fickian behaviour is studied. The model is composed by a parabolic …

Effects of heterogeneity, connectivity, and density variations on mixing and chemical reactions under temporally fluctuating flow conditions and the formation of …

M Pool, M Dentz - Water Resources Research, 2018 - Wiley Online Library
Solute mixing, spreading, and fast chemical reactions in aquifers are strongly influenced by
spatial variability of the hydraulic properties, temporal flow fluctuations, and fluid density …

Density-driven free convection in heterogeneous aquifers with connectivity features

H Li, L Zhang, Y Ye, C Lu - Advances in Water Resources, 2024 - Elsevier
Free convection usually happens in variable-density groundwater flow systems, and it favors
contaminant transport by enlarging length scales and shortening timescales compared to …

Gas Dispersion Coefficient Test System and Dimensionless Inversion Method for Porous Media

Y Qin, M Guo, F Zhang, Z Li, Q Liu, F Tang - ACS omega, 2023 - ACS Publications
Due to the complex porous media structure of the longwall gob area, it has been difficult to
determine the gas dispersion coefficient of oxygen when studying spontaneous coal …

Modeling transverse dispersion and variable density flow in porous media

HM Nick, R Schotting, M Gutierrez-Neri… - Transport in porous …, 2009 - Springer
A two-dimensional numerical model is used to study the nonlinear behavior of density
gradients on transverse dispersion. Numerical simulations are conducted using d 3 f, a …

Modeling nondilute species transport using the thermodynamically constrained averaging theory

TM Weigand, PB Schultz, DH Giffen… - Water Resources …, 2018 - Wiley Online Library
Nondilute transport in porous media results in fronts that are much sharper in space and
time than the corresponding transport of a conservative, nonreactive dilute species. A …

Microscale modeling of nondilute flow and transport in porous medium systems

TM Weigand, CT Miller - Physical Review E, 2020 - APS
Nondilute transport occurs routinely in porous medium systems. Experimental observations
have revealed effects that seemingly depend upon density, viscosity, velocity, and chemical …

The effect of dispersion on the stability of density-driven flows in saturated homogeneous porous media

JL Musuuza, FA Radu, S Attinger - Advances in water resources, 2011 - Elsevier
This work is a continuation of Musuuza et al.[37] in which a stability criterion for density-
driven flow in a saturated homogeneous medium was derived. The criterion predicted the …

The stability of density-driven flows in saturated heterogeneous porous media

JL Musuuza, FA Radu, S Attinger - Advances in water resources, 2011 - Elsevier
This work concludes the investigations into the stability of haline flows in saturated porous
media. In the first part [33] a stability criterion for density-driven flow in a saturated …