Numerical Simulation of Multiphase Flow in Fractured Porous Media

Bastian, Peter; Chen, Zhangxin; Ewing, Richard E.; Helmig, Rainer; Jakobs, H.; Reichenberger, Volker

doi:10.1007/3-540-45467-5_4

Cited by 65 publications

(67 citation statements)

References 47 publications

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“…Despite all these advantages, there is no loss of accuracy when the results from the discrete fracture model are compared with the full n-dimensional fracture flow [Karimi-Fard and Firoozabadi, 2003]. The discrete-fracture model has been employed by several authors to develop codes for multiphase flow in fractured porous media Deo, 1999, 2000;Bastian et al, 2000;Karimi-Fard and Firoozabadi, 2003;Geiger et al, 2003].…”

Section: Introductionmentioning

confidence: 99%

“…[17] Bastian et al [2000] and Geiger et al [2003] have employed the CV method for the numerical simulation of two-phase flow in 2-D fractured media. Bastian et al [2000] developed the MUFTE-UG simulator that uses the discrete-fracture model and present a 2-D example for gas inflitration into fractured media composed of five discrete fractures with a thickness of 4 cm (very thick fractures).…”

Section: Introductionmentioning

confidence: 99%

“…Bastian et al [2000] developed the MUFTE-UG simulator that uses the discrete-fracture model and present a 2-D example for gas inflitration into fractured media composed of five discrete fractures with a thickness of 4 cm (very thick fractures). The fracture and matrix capillary pressures functions were similar.…”

Section: Introductionmentioning

confidence: 99%

“…The fracture and matrix capillary pressures functions were similar. Bastian et al [2000] also included gravity in their work. Geiger et al [2003] use the C-FEM for the solution to the flow potential and the CV method for the saturation equation.…”

Section: Introductionmentioning

confidence: 99%

“…In section 2 we present a mathematical formulation for twophase incompressible flow in fractured media, clearly establishing physically based relations between matrix and fracture variables. This formulation has not been presented in the previous related works [ Deo, 1999, 2000;Bastian et al, 2000;Karimi-Fard and Firoozabadi, 2003;Geiger et al, 2003]. In section 3 we provide an efficient procedure to numerically solve the two-phase flow equations in fractured media using the discrete-fracture model within the framework of the CV method.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Control‐volume method for numerical simulation of two‐phase immiscible flow in two‐ and three‐dimensional discrete‐fractured media

Monteagudo

Firoozabadi

2004

Water Resources Research

195

111

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[1] We provide a numerical procedure for the simulation of two-phase immiscible and incompressible flow in two-and three-dimensional discrete-fractured media. The concept of cross-flow equilibrium is used to reduce the fracture dimension from n to (n-1) in the calculation of flow in the fractures. This concept, which is often referred to as the discrete-fracture model, has a significant effect on the reduction of computational time. The spatial discretization is performed with the control-volume method. This method is locally conservative and allows the use of unstructured grids to represent complex geometries, such as discrete-fracture configurations. The relative permeability is upwinded with a criterion based on the evaluation of the flux direction at the boundaries of the control volumes, which is consistent with the physics of fluid flow. The system of partial differential equations is decoupled and solved using the implicit-pressure, explicitsaturation (IMPES) approach. The algorithm has been successfully tested in two-and three-dimensional numerical simulations of wetting phase fluid injection (such as water) in discrete-fractured media saturated by a nonwetting phase (such as nonaqueous phase liquid or oil) with mild to high nonlinearity in relative permeability and capillary pressure. To the best of our knowledge, results for simulations of two-phase immiscible and incompressible flow in three-dimensional discrete-fractured media, including capillary and gravity effects, are the first to appear in the literature.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Control‐volume method for numerical simulation of two‐phase immiscible flow in two‐ and three‐dimensional discrete‐fractured media

Monteagudo

Firoozabadi

2004

Water Resources Research

195

111

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Hydrodynamic analysis of nanofluids flow over 45° inclined porous square cylinder using Darcy–Brinkman–Forchheimer model

Kaur,

Ratan,

Melnik

et al. 2024

Asia-Pacific J Chem Eng

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Various engineering applications commonly involve the flow of nanofluids over a porous 45° inclined square cylinder. Therefore, the current study is to assess the impact of the Darcy parameter (Da), nanoparticle volume fraction (ϕ), and Reynolds number (Re) on the momentum transport characteristics over the 45° inclined porous square cylinder. The governing equations were solved numerically using the Darcy–Brinkman–Forchheimer model for different values of Da (), nanoparticle volume fraction ϕ (), and Reynolds number Re (). The results for each parameter were visualized using streamline plots, velocity profiles within the porous cylinder, and vorticity contours. Complex flow behaviors were observed between Da = 10−3–10−2, flow separation detached and disappeared at the cylinder's downstream side at critical Darcy number. Drag and pressure coefficents are used to represent the global and local parameter of the flow fields. The pressure coefficient on the surface of the cylinder showed an inverse relationship with the nanoparticles volume fraction and Darcy number. The strength of the drag coefficient decreased with the addition of nanoparticles to the base fluid, with a decreasing trend observed for Da = 10−4–10−2 and no change observed for Da = 10−6–10−4. At last, the comparative analysis has been conducted between a porous square cylinder at 0° inclined and another 45° inclined.

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Discretizing two‐dimensional complex fractured fields for incompressible two‐phase flow

Mustapha

Dimitrakopoulos

2011

Numerical Methods in Fluids

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SUMMARYA method is introduced to discretize irregular and complex two-dimensional fractured media. The geometry of the fractured media is first analysed by searching and treating the complex configurations. Based on that, the method generated a good mesh quality and allows for including finer grids. An incompressible two-phase flow problem is solved to compare the developed method and a public method based on the approximation of a 1D fracture by the edges of a 2D finite element grid of the porous media. The comparison showed that the developed method (i) represents better the fractured domain by maintaining the geometric integrity of input surfaces and geologic data, (ii) provides, for sample and complex fractured domains, excellent and more accurate results, and (iii) is much less sensitive to the grid sizes. Furthermore, the method has to be more efficient than the other methods for transport problems and has to provide better predictable results; this is mainly based on point (ii) and because the method produces optimal triangular grids.

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Numerical Simulation of Multiphase Flow in Fractured Porous Media

Cited by 65 publications

References 47 publications

Control‐volume method for numerical simulation of two‐phase immiscible flow in two‐ and three‐dimensional discrete‐fractured media

Control‐volume method for numerical simulation of two‐phase immiscible flow in two‐ and three‐dimensional discrete‐fractured media

Hydrodynamic analysis of nanofluids flow over 45° inclined porous square cylinder using Darcy–Brinkman–Forchheimer model

Discretizing two‐dimensional complex fractured fields for incompressible two‐phase flow

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