Simulation of Flow and Transport in Fractured Porous Media

Pinder, George F.; Huyakorn, Peter S.; Sudicky, E. A.

doi:10.1016/b978-0-12-083980-3.50012-7

Cited by 9 publications

(2 citation statements)

References 78 publications

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“…The methods to simulate flow in fractures are categorized into the following types depending on the heterogeneity of the fractured porous media: (1) equivalent continuum models, (2) discrete fracture models, (3) their hybrid [1,[4][5][6][7] or (4) dual-continuum models [8][9]. In the aforementioned applications, the presence of arbitrarily oriented and intersecting fractures may influence the flow in a complex manner that cannot be simplified with homogenization.…”

Section: Introductionmentioning

confidence: 99%

A practical model for fluid flow in discrete-fracture porous media by using the numerical manifold method

Rutqvist

Wang

2016

Advances in Water Resources

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In this study, a numerical manifold method (NMM) model is developed to analyze flow in porous media with discrete fractures in a non-conforming mesh. This new model is based on a two-cover-mesh system with a uniform triangular mathematical mesh and boundary/fracture-divided physical covers, where local independent cover functions are defined. The overlapping parts of the physical covers are elements where the global approximation is defined by the weighted average of the physical cover functions. The mesh is generated by a tree-cutting algorithm. A new model that does not introduce additional degrees of freedom (DOF) for fractures was developed for fluid flow in fractures. The fracture surfaces that belong to different physical covers are used to represent fracture flow in the direction of the fractures. In the direction normal to the fractures, the fracture surfaces are regarded as Dirichlet boundaries to exchange fluxes with the rock matrix. Furthermore, fractures that intersect with Dirichlet or Neumann boundaries are considered. Simulation examples are designed to verify the efficiency of the tree-cutting algorithm, the calculation's independency from the mesh orientation, and accuracy when modeling porous media that contain fractures with multiple intersections and different orientations. The simulation results show good agreement with available analytical solutions. Finally, the model is applied to cases that involve 9 intersecting fractures and a complex network of 100 fractures, both of which achieve reasonable results. The new model is very practical for modeling flow in fractured porous media, even for a geometrically complex fracture network with large hydraulic conductivity contrasts between fractures and the matrix.

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Section: Introductionmentioning

confidence: 99%

A practical model for fluid flow in discrete-fracture porous media by using the numerical manifold method

Rutqvist

Wang

2016

Advances in Water Resources

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“…[11,14,27,51,55,60]. The models differ in their representation of the heterogeneity of the fractured media, and whether they are formulated in a deterministic or a stochastic framework.…”

Section: Introductionmentioning

confidence: 99%

Comparison of cell- and vertex-centered discretization methods for flow in a two-dimensional discrete-fracture–matrix system

Haegland¹,

Assteerawatt

Dahle

et al. 2009

Advances in Water Resources

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Abstract. Simulations of flow for a discrete fracture model in fractured porous rocks have gradually become more practical, as a consequence of increased computer power and improved simulation and characterization techniques. Discrete fracture models can be formulated in a lower-dimensional framework, where the fractures are modeled in a lower dimension than the matrix, or in an equi-dimensional form, where the fractures and the matrix have the same dimension.When the velocity of the flow field is needed explicitly, as in streamline simulation of advective transport, only the equi-dimensional approach can be used directly. The velocity field for the lower-dimensional model can then be recovered by post-processing which involves expansion of the lower-dimensional fractures to equi-dimensional ones.In this paper, we propose a technique for expanding lower-dimensional fractures and we compare two different discretization methods for the pressure equation; one vertex-centered approach which can be implemented as either a lower-or an equi-dimensional method, and a cellcentered method using the equi-dimensional formulation. The methods are compared with respect to accuracy, convergence, condition number, and computer efficiency.

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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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Simulation of Flow and Transport in Fractured Porous Media

Cited by 9 publications

References 78 publications

A practical model for fluid flow in discrete-fracture porous media by using the numerical manifold method

A practical model for fluid flow in discrete-fracture porous media by using the numerical manifold method

Comparison of cell- and vertex-centered discretization methods for flow in a two-dimensional discrete-fracture–matrix system

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

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