An efficient method for discretizing 3D fractured media for subsurface flow and transport simulations

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Autoren

  • Hussein Mustapha
  • Roussos Dimitrakopoulos
  • Thomas Graf
  • Abbas Firoozabadi

Externe Organisationen

  • McGill University
  • Reservoir Engineering Research Institute (RERI)
  • Yale University
Forschungs-netzwerk anzeigen

Details

OriginalspracheEnglisch
Seiten (von - bis)651-670
Seitenumfang20
FachzeitschriftInternational Journal for Numerical Methods in Fluids
Jahrgang67
Ausgabenummer5
Frühes Online-Datum7 Sept. 2011
PublikationsstatusVeröffentlicht - 20 Okt. 2011

Abstract

We introduce a new method to discretize inclined non-planar two-dimensional (2D) fractures in three-dimensional (3D) fractured media for subsurface flow and transport simulations. The 2D fractures are represented by ellipsoids. We first discretize the fractures and generate a 2D finite element mesh for each fracture. Then, the mesh of fractures is analyzed by searching and treating critical geometric configurations. Based on that search, the method generates a quality mesh and allows for including finer grids. A solute transport problem in fractured porous media is solved to test the method. The results show that the method (i) adequately represents the fractured domain by maintaining the geometric integrity of input surfaces and geologic data, (ii) provides accurate results for both simple and complex fractured domains, (iii) is insensitive to spatial discretization, and (iv) is computationally very efficient. For inclined and vertical fractures, analytical and numerical solutions are shown to be in good agreement. The method is therefore suitable to discretize fracture networks for flow and transport simulations in fractured porous media.

ASJC Scopus Sachgebiete

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An efficient method for discretizing 3D fractured media for subsurface flow and transport simulations. / Mustapha, Hussein; Dimitrakopoulos, Roussos; Graf, Thomas et al.
in: International Journal for Numerical Methods in Fluids, Jahrgang 67, Nr. 5, 20.10.2011, S. 651-670.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Mustapha H, Dimitrakopoulos R, Graf T, Firoozabadi A. An efficient method for discretizing 3D fractured media for subsurface flow and transport simulations. International Journal for Numerical Methods in Fluids. 2011 Okt 20;67(5):651-670. Epub 2011 Sep 7. doi: 10.1002/fld.2383
Mustapha, Hussein ; Dimitrakopoulos, Roussos ; Graf, Thomas et al. / An efficient method for discretizing 3D fractured media for subsurface flow and transport simulations. in: International Journal for Numerical Methods in Fluids. 2011 ; Jahrgang 67, Nr. 5. S. 651-670.
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abstract = "We introduce a new method to discretize inclined non-planar two-dimensional (2D) fractures in three-dimensional (3D) fractured media for subsurface flow and transport simulations. The 2D fractures are represented by ellipsoids. We first discretize the fractures and generate a 2D finite element mesh for each fracture. Then, the mesh of fractures is analyzed by searching and treating critical geometric configurations. Based on that search, the method generates a quality mesh and allows for including finer grids. A solute transport problem in fractured porous media is solved to test the method. The results show that the method (i) adequately represents the fractured domain by maintaining the geometric integrity of input surfaces and geologic data, (ii) provides accurate results for both simple and complex fractured domains, (iii) is insensitive to spatial discretization, and (iv) is computationally very efficient. For inclined and vertical fractures, analytical and numerical solutions are shown to be in good agreement. The method is therefore suitable to discretize fracture networks for flow and transport simulations in fractured porous media.",
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T1 - An efficient method for discretizing 3D fractured media for subsurface flow and transport simulations

AU - Mustapha, Hussein

AU - Dimitrakopoulos, Roussos

AU - Graf, Thomas

AU - Firoozabadi, Abbas

PY - 2011/10/20

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N2 - We introduce a new method to discretize inclined non-planar two-dimensional (2D) fractures in three-dimensional (3D) fractured media for subsurface flow and transport simulations. The 2D fractures are represented by ellipsoids. We first discretize the fractures and generate a 2D finite element mesh for each fracture. Then, the mesh of fractures is analyzed by searching and treating critical geometric configurations. Based on that search, the method generates a quality mesh and allows for including finer grids. A solute transport problem in fractured porous media is solved to test the method. The results show that the method (i) adequately represents the fractured domain by maintaining the geometric integrity of input surfaces and geologic data, (ii) provides accurate results for both simple and complex fractured domains, (iii) is insensitive to spatial discretization, and (iv) is computationally very efficient. For inclined and vertical fractures, analytical and numerical solutions are shown to be in good agreement. The method is therefore suitable to discretize fracture networks for flow and transport simulations in fractured porous media.

AB - We introduce a new method to discretize inclined non-planar two-dimensional (2D) fractures in three-dimensional (3D) fractured media for subsurface flow and transport simulations. The 2D fractures are represented by ellipsoids. We first discretize the fractures and generate a 2D finite element mesh for each fracture. Then, the mesh of fractures is analyzed by searching and treating critical geometric configurations. Based on that search, the method generates a quality mesh and allows for including finer grids. A solute transport problem in fractured porous media is solved to test the method. The results show that the method (i) adequately represents the fractured domain by maintaining the geometric integrity of input surfaces and geologic data, (ii) provides accurate results for both simple and complex fractured domains, (iii) is insensitive to spatial discretization, and (iv) is computationally very efficient. For inclined and vertical fractures, analytical and numerical solutions are shown to be in good agreement. The method is therefore suitable to discretize fracture networks for flow and transport simulations in fractured porous media.

KW - 3D discrete-fractured model

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KW - Flow and transport

KW - Mesh generation

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