Dual porosity fracture flow and transport

Dershowitz, W.; Miller, Ian

doi:10.1029/95gl01099

Cited by 68 publications

(28 citation statements)

References 12 publications

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“…The latter step will rely on the Green's functions derived in this study. Heat transfer in fracture networks. Multiscale modeling approaches to flow and transport in fractured rocks [e.g., Dershowitz and Miller , ; Cvetkovic et al , ; Roubinet et al , , ] combine a discrete fracture network (DFN) representation at the field scale with analytical solutions at the fracture scale. We will embed our analytical solutions into particle‐tracking DFN models to represent rock conduction effects at the field scale with optimized computational cost and representation accuracy.…”

Section: Discussionmentioning

confidence: 99%

Analytical models of heat conduction in fractured rocks

2014

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Discrete fracture network models routinely rely on analytical solutions to estimate heat transfer in fractured rocks. We develop analytical models for advective and conductive heat transfer in a fracture surrounded by an infinite matrix. These models account for longitudinal and transverse diffusion in the matrix, a two-way coupling between heat transfer in the fracture and matrix, and an arbitrary configuration of heat sources. This is in contrast to the existing analytical solutions that restrict matrix conduction to the direction perpendicular to the fracture. We demonstrate that longitudinal thermal diffusivity in the matrix is a critical parameter that determines the impact of local heat sources on fluid temperature in the fracture. By neglecting longitudinal conduction in the matrix, the classical models significantly overestimate both fracture temperature and time-to-equilibrium. We also identify the fracture-matrix Péclet number, defined as the ratio of advection timescale in the fracture to diffusion timescale in the matrix, as a key parameter that determines the efficiency of geothermal systems. Our analytical models provide an easy-to-use tool for parametric sensitivity analysis, benchmark studies, geothermal site evaluation, and parameter identification.

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Section: Discussionmentioning

confidence: 99%

Analytical models of heat conduction in fractured rocks

2014

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“…Flow interaction between a permeable rock and embedded conductive fractures remains poorly understood since earlier research either investigated fractures only [e.g., Smith and Schwartz , 1993], focused on idealized synthetic fracture geometries [ Bogdanov et al , 2003], or applied a dual porosity approach assuming a stagnant matrix [ Kazemi and Gilman , 1993; Dershowitz and Miller , 1995]. It is also difficult to monitor fracture flow in experiments [ Renard et al , 2001].…”

Section: Introductionmentioning

confidence: 99%

Fluid flow partitioning between fractures and a permeable rock matrix

Matthäi

Belayneh

2004

Geophysical Research Letters

162

107

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Field data‐based finite‐element simulations of flow partitioning between fractures and a permeable rock matrix reveal critical fracture aperture values that mark the transition from matrix to fracture dominated flow. For matrix permeabilities of 0.00 1–1 D, the matrix either dominates or contributes significantly to the total flow. The percentage of the flow‐normal cross‐section that is occupied by fractures, Af, strongly influences the fracture‐matrix permeability ratio, above which fractures will dominate flow. This ratio is 102–104 for Af = 10−4–10−3 (mean = 5 × 10−3), but also depends on the proportion of fractures which fully penetrate the representative elementary volume. Fluid‐velocity spectra for the fractured rock have three important characteristics: (1) Darcy velocity is only poorly correlated with permeability, (2) flow velocities have characteristic values, even if fracture‐length frequency relations are self similar, and (3) fracture and matrix velocities overlap.

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“…Because it is dealt with "realist" complex networks and not with dual-porosity approaches [ Warren and Root, 1963;Dershowitz and Miller, 1995] …”

Section: Solving Of Advection-dispersion and Matrix Diffusion Of Solutementioning

confidence: 99%

Time domain random walk method to simulate transport by advection‐dispersion and matrix diffusion in fracture networks

Delay¹,

Bodin²

2001

Geophysical Research Letters

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Abstract. A method is proposed to calculate in one step the residence time of a particle by advection-dispersion and matrix diffusion in a bond of a fracture network. The calculation is very rapid and avoids the discretization of Eulerian methods or the multiple leaps of classical Lagrangian approaches. The method is accurate in most flow conditions prevailing in fracture networks. Therefore, the method will be useful to evaluate the conditions in which the different transport mechanisms are of influence at the scale of the entire network.

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Dual porosity fracture flow and transport

Cited by 68 publications

References 12 publications

Analytical models of heat conduction in fractured rocks

Analytical models of heat conduction in fractured rocks

Fluid flow partitioning between fractures and a permeable rock matrix

Time domain random walk method to simulate transport by advection‐dispersion and matrix diffusion in fracture networks

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