Nonclassical Transport Processes in Geologic Media: Review of Field and Laboratory Observations and Basic Physical Concepts

Bolshov, L. A.; Kondratenko, P. S.; Pruess, Karsten; Семенов, В. Н.

doi:10.2136/vzj2007.0153

Cited by 13 publications

(8 citation statements)

References 114 publications

(140 reference statements)

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“…This may provide a possible explanation for the relatively large inferred values of final porosities of ϕ fin ≈ 0.81. Indeed, melting snowpacks readily produce preferential flow pathways [ Williams et al , 2010, and references therein], representing a “nonclassical” transport process [ Bolshov et al , 2010] that may well have affected our laboratory experiments. More specifically, our estimates of textural and hydraulic snow properties may thus represent effective averages over relatively porous and permeable preferential pathways that developed over time, within a snow matrix whose porosities and permeabilities are comparatively reduced.…”

Section: Discussionmentioning

confidence: 99%

Theory and numerical modeling of electrical self‐potential signatures of unsaturated flow in melting snow

Kulessa

Chandler

Revil

et al. 2012

Water Resources Research

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[1] We have developed a new theory and numerical model of electrical self-potential (SP) signals associated with unsaturated flow in melting snow. The model is applicable to continuous natural melt as well as transient flow phenomena such as meltwater pulses and is tested using laboratory column experiments. SP signals fundamentally depend on the temporal evolution of snow porosity and meltwater flux, electrical conductivity (EC), and pH. We infer a reversal of the sign of the zeta potential (a fundamental electrical property of grain surfaces in porous media) consistent with well-known elution sequences of ions that cause progressive increases and decreases in meltwater pH and EC, respectively. Injection of fully melted snow samples, containing the entire natural range of ions, into melting snow columns caused additional temporary reversals of the sign of the zeta potential. Widely used empirical relationships between effective saturation, meltwater fraction, EC, and pH, as well as snow porosity, grain size, and permeability, are found to be robust for modeling purposes. Thus nonintrusive SP measurements can serve as proxies for snow meltwater fluxes and the temporal evolution of fundamental snow textural, hydraulic, or water quality parameters. Adaptation of automated multisensor SP acquisition technology from other environmental applications thus promises to bridge the widely acknowledged gap in spatial scales between satellite remote sensing and point measurements of snow properties. SP measurements and modeling may therefore contribute to solving a wide range of problems related to the assessment of water resource availability, avalanche or flood risk, or the amplification of climatic forcing of ice shelf, ice sheet, or glacier dynamics.

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Section: Discussionmentioning

confidence: 99%

Theory and numerical modeling of electrical self‐potential signatures of unsaturated flow in melting snow

Kulessa

Chandler

Revil

et al. 2012

Water Resources Research

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“…When equation deviates from this linear behavior, taking the form

⟨ r^{2} (t) ⟩ \propto t^{γ}

, it is said that the transport process is in an anomalous diffusive regime [ Bouchaud and Georges , ], where if γ > 1 it is called superdiffusion, whereas for γ < 1 is called subdiffusion. These types of behavior have been experimentally observed in many geophysical situations, ranging from contaminant dispersion in aquifers [ Bolshov et al ., ], to fluid flow in porous media with heterogeneities in a wide range of length scales, usually having fractal geometrical properties [ O'Shaughnessy and Procaccia , ; Chang and Yortsos , ]. It is now well established that diffusion processes taking place in fractal and/or random media, usually presents subdiffusive and superdiffusive behavior induced by the medium geometry and associated to strong correlations in the particles movement [ Havlin and Ben‐Abraham , ; Matheron and Marsily , ].…”

Section: Introductionmentioning

confidence: 99%

Telegraphic double porosity models for head transient behavior in naturally fractured aquifers

Hernández

Núñez-López

Hernández

2013

Water Resources Research

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[1] We present a general phenomenological formalism for the modeling of hydraulic head behavior in naturally fractured aquifers. A nonlocal in time version of the double porosity model is developed for Euclidean and fractal reservoirs. In the fractal case, time nonlocality allows to find the geometric and topological factors responsible for subdiffusive behavior in such heterogeneous environments. Opposite to other fractal models presented in the literature, ours include dead-ends-backbone interactions instead of matrix-fracture interactions with clear and well-defined scaling exponents, thus giving a better characterization of the reservoir after such parameters are estimated. Applications to field tests are discussed. In particular, a distinctive short time head behavior during well tests is found.

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“…At the same time, the model is based on an implicit assumption of statistical homogeneity. We present arguments (see a review in Bolshov et al, 2008), however, to show that for unsaturated fractured rocks in the vicinity of the percolation threshold, the structure of percolation channels has fractal properties. In such systems, Darcy's law and the usual advection–diffusion model (when the solute flux is determined by Fick's law with consideration of drift) are not suitable to describe the main characteristics of the percolation flux and solute transport.…”

mentioning

confidence: 99%

Elements of Fractal Generalization of Dual‐Porosity Model for Solute Transport in Unsaturated Fractured Rocks

Bolshov

Kondratenko

Matveev

et al. 2008

Vadose Zone Journal

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In this study, new elements were developed to generalize the dual-porosity model for moisture infiltration on and solute transport in unsaturated rocks, taking into account fractal aspects of the percolation process. Random advection was considered as a basic mechanism of solute transport in self-similar fracture systems. In addition to spatial variations in the infiltration velocity field, temporal fluctuations were also taken into account. The rock matrix, a low-permeability component of the heterogeneous geologic medium, acts as a trap for solute particles and moisture. Scaling relations were derived for the moisture infiltration flux, the velocity correlation length, the average velocity of infiltration, and the velocity correlation function. The effect of temporal variations in precipitation intensity on the infiltration processes was analyzed. It showed that the mode of solute transport is determined by the power exponent in the advection velocity correlation function and the dimensionality of the trapping system, both of which may change with time.

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Nonclassical Transport Processes in Geologic Media: Review of Field and Laboratory Observations and Basic Physical Concepts

Cited by 13 publications

References 114 publications

Theory and numerical modeling of electrical self‐potential signatures of unsaturated flow in melting snow

Theory and numerical modeling of electrical self‐potential signatures of unsaturated flow in melting snow

Telegraphic double porosity models for head transient behavior in naturally fractured aquifers

Elements of Fractal Generalization of Dual‐Porosity Model for Solute Transport in Unsaturated Fractured Rocks

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