An Analytical Model for Radionuclide Transport in a Single Fracture: Considering Nonequilibrium Matrix Sorption

Lee, Ching-Hor; Teng, Shi-Ping

doi:10.13182/nt93-a34768

Cited by 17 publications

(2 citation statements)

References 18 publications

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“…However, very few studies consider the nonequilibrium sorption in the fractured porous media [ Maloszewski and Zuber , ; Lee and Teng , ; Berkowitz and Zhou , ; Xu and Worman , ; Bodin et al ., , Ojha et al ., ; Joshi et al ., ; Sharma et al ., ]. Most of the available models neglect the effect of sorption kinetics in the fracture‐matrix system and are based on the local equilibrium assumption (LEA).…”

Section: Introductionmentioning

confidence: 99%

Application of nonequilibrium fracture matrix model in simulating reactive contaminant transport through fractured porous media

et al. 2015

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Nonequilibrium and nonlinear sorption of the contaminants in the fractured porous media could significantly influence the shape of the breakthrough curve (BTC). For the fracture-matrix system, there are very few studies which consider these processes. In this study, the nonequilibrium fracture-matrix model with two different nonlinear sorption isotherms, namely nonlinear Freundlich and Langmuir sorption isotherms were developed. The effect of sorption nonlinearity and nonequilibrium conditions on the shape of the BTC was studied using the temporal moments. The developed models along with the linear equilibrium, linear nonequilibrium fracture matrix models, and the multirate mass transfer model were used to simulate the BTC, which were compared with the experimental data available in the literature. Both sorption nonequilibrium and nonlinearity were found to significantly influence the shape of the BTC. Presence of sorption nonlinearity reduces the solute spreading, whereas presence of nonequilibrium conditions increases the solute spreading. Considering the sorption nonequilibrium along with the sorption nonlinearity leads to an improved simulation of the BTC. The nonequilibrium nonlinear sorption models could simulate the extended BTC tailing resulting from sorption nonlinearity and rate-limited interaction in the fracture-matrix system.

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Section: Introductionmentioning

confidence: 99%

Application of nonequilibrium fracture matrix model in simulating reactive contaminant transport through fractured porous media

et al. 2015

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“…They investigated that a reversible surface reaction can be treated as irreversible when adsorption is very strong and desorption is relatively weak. However, at small Damköhler number (ratio of reaction rate to molecular diffusion rate) the effect of surface reaction can be neglected, thus, reactive solute transport can be approximated by nonreactive solute transport Lee and Teng [1993]. gave an analytical solution assuming nonequilibrium sorption in the matrix.…”

Section: Introductionmentioning

confidence: 99%

A nonequilibrium model for reactive contaminant transport through fractured porous media: Model development and semianalytical solution

Joshi

Ojha

Sharma

2012

Water Resources Research

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[1] In this study a conceptual model that accounts for the effects of nonequilibrium contaminant transport in a fractured porous media is developed. Present model accounts for both physical and sorption nonequilibrium. Analytical solution was developed using the Laplace transform technique, which was then numerically inverted to obtain solute concentration in the fracture matrix system. The semianalytical solution developed here can incorporate both semi-infinite and finite fracture matrix extent. In addition, the model can account for flexible boundary conditions and nonzero initial condition in the fracture matrix system. The present semianalytical solution was validated against the existing analytical solutions for the fracture matrix system. In order to differentiate between various sorption/ transport mechanism different cases of sorption and mass transfer were analyzed by comparing the breakthrough curves and temporal moments. It was found that significant differences in the signature of sorption and mass transfer exists. Applicability of the developed model was evaluated by simulating the published experimental data of Calcium and Strontium transport in a single fracture. The present model simulated the experimental data reasonably well in comparison to the model based on equilibrium sorption assumption in fracture matrix system, and multi rate mass transfer model.

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Solute transport in a single fracture with negligible matrix permeability: 2. mathematical formalism

Bodin

Delay

Marsily

2003

Hydrogeology Journal

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International audienceThis report provides an overview of the mathematical expressions for modeling fundamental solute transport mechanisms at the fracture scale. It focuses on low-permeability rocks where advection in the matrix is negligible as compared to that in fractures. The following processes are considered: (1) advective transport in fractures, (2) hydrodynamic dispersion along the fracture axis, (3) molecular diffusion from the fracture to the porous matrix, (4) sorption reactions on the fracture walls and within the matrix, and (5) decay reactions. The aim of this review is to gather in a single article the transport equations and their analytical solutions, using a homogeneous notation to facilitate comparison and exploitation

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An Analytical Model for Radionuclide Transport in a Single Fracture: Considering Nonequilibrium Matrix Sorption

Cited by 17 publications

References 18 publications

Application of nonequilibrium fracture matrix model in simulating reactive contaminant transport through fractured porous media

Application of nonequilibrium fracture matrix model in simulating reactive contaminant transport through fractured porous media

A nonequilibrium model for reactive contaminant transport through fractured porous media: Model development and semianalytical solution

Solute transport in a single fracture with negligible matrix permeability: 2. mathematical formalism

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