Transport of a tracer slug in a fractured permeable formation

Rubin, Hillel; Soliman, Ahmed M.; Birkhölzer, Jens; Rouve, G.

doi:10.1016/0022-1694(95)02775-0

Cited by 14 publications

(3 citation statements)

References 17 publications

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“…A diffusion-advection number was also developed to help ascertain conditions for which diffusive fracture-matrix exchange is negligible compared with advective fracturematrix exchange. The methodology developed by Birkhölzer et al (1993a, b) was used by Rubin et al (1996) to investigate a tracer slug injection in a fractured rock with permeable rock matrix, and by Rubin et al (1997) to investigate transport for cases with slow advective velocities in the fracture. Odling and Roden (1997) used a numerical model to study transport in fracture networks embedded in a permeable rock matrix, focusing on the role the permeable rock matrix plays when fracture networks have limited connectivity, including fractures that are disconnected from the network.…”

Section: Report On Thmc Modeling Of the Near Field Evolution Of A Genmentioning

confidence: 99%

Report on THMC Modeling of the Near Field Evolution of a Generic Clay Repository: Model Validation and Demonstration

Liu¹

2013

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Section: Report On Thmc Modeling Of the Near Field Evolution Of A Genmentioning

confidence: 99%

Report on THMC Modeling of the Near Field Evolution of a Generic Clay Repository: Model Validation and Demonstration

Liu¹

2013

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“…Our study aims at demonstrating that the CTRW framework not only can substitute for dual‐continuum approaches, but is generally applicable to fractured porous formations over a wide range of matrix permeabilities. We do this by first conducting numerical tracer experiments in discrete fracture‐matrix systems [ Berkowitz et al , 1988; Birkholzer et al , 1993a, 1993b; Birkholzer and Rouve , 1994; Rubin et al , 1996]. These simulations are assumed to represent the “correct” system behavior.…”

Section: Introductionmentioning

confidence: 99%

Continuous time random walk analysis of solute transport in fractured porous media

Cortis

Birkhölzer

2008

Water Resources Research

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[1] The objective of this work is to discuss solute transport phenomena in fractured porous media, where the macroscopic transport of contaminants in the highly permeable inter-connected fractures can be strongly affected by solute exchange with the porous rock matrix. We are interested in a wide range of rock types, with matrix hydraulic conductivities varying from almost impermeable (e.g., granites) to somewhat permeable (e.g., porous sandstones). In the first case, molecular diffusion is the only transport process causing the transfer of contaminants between the fractures and the matrix blocks. In the second case, additional solute transfer occurs as a result of a combination of advective and dispersive transport mechanisms, with considerable impact on the macroscopic transport behavior. We start our study by conducting numerical tracer experiments employing a discrete (microscopic) representation of fractures and matrix. Using the discrete simulations as a surrogate for the ''correct'' transport behavior, we then evaluate the accuracy of macroscopic (continuum) approaches in comparison with the discrete results. However, instead of using dual-continuum models, which are quite often used to account for this type of heterogeneity, we develop a macroscopic model based on the Continuous Time Random Walk (CTRW) framework, which characterizes the interaction between the fractured and porous rock domains by using a probability distribution function of residence times. A parametric study of how CTRW parameters evolve is presented, describing transport as a function of the hydraulic conductivity ratio between fractured and porous domains.

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“…[1993a, 1993b] was used by Rubin et al . [] to investigate a tracer slug injection in a fractured rock with permeable rock matrix, and by Rubin et al . [] to investigate transport for cases with slow advective velocities in the fracture.…”

Section: Introductionmentioning

confidence: 99%

An analytical model for solute transport through a water-saturated single fracture and permeable rock matrix

2013

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[1] The problem of solute transport through a water-saturated single fracture in a permeable rock matrix is examined using an analytical modeling approach. A closed-form analytical solution is obtained that accounts for transverse and longitudinal advective transport in the fracture and matrix and transverse diffusion in the matrix. The solution also accounts for both diffusive and advective solute exchange between the fracture and matrix and a general solute source position in either the fracture or matrix. The novel features are the incorporation of advective transport in the matrix and a general source position into a closed-form solution for the solute-transport problem. Examples of the solution behavior are presented, which demonstrate the effects of matrix advection in combination with advection along the fracture, transverse diffusion in the matrix for solute release in the fracture and matrix. A semianalytical solution in the form of a superposition integral is also derived that includes these transport features, plus independent levels of longitudinal diffusion and dispersion in the matrix and fracture, respectively. Examples are presented that include advective transport in the fracture and matrix, longitudinal and transverse diffusion in the matrix, longitudinal dispersion in the fracture, as well as solute release from the fracture and matrix. An approximate criterion is proposed to evaluate the significance of longitudinal diffusion and dispersion relative to longitudinal spreading caused by fracturematrix interaction.

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Transport of a tracer slug in a fractured permeable formation

Cited by 14 publications

References 17 publications

Report on THMC Modeling of the Near Field Evolution of a Generic Clay Repository: Model Validation and Demonstration

Report on THMC Modeling of the Near Field Evolution of a Generic Clay Repository: Model Validation and Demonstration

Continuous time random walk analysis of solute transport in fractured porous media

An analytical model for solute transport through a water-saturated single fracture and permeable rock matrix

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