A finite element approach for modelling single-phase compressible flow in dual porosity systems

Hattingh, Shane Kenneth; Reddy, B. D.

doi:10.1016/j.petrol.2009.06.010

Cited by 9 publications

(5 citation statements)

References 23 publications

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“…These are based on the (1) equivalent continuum medium or equivalent porous medium (EPM), [1][2][3][4][5] (2) discrete fracture network (DFN), [6][7][8][9][10][11] and (3) fractured porous medium (FPM) or dual-medium flow models. [12][13][14][15][16][17][18][19][20] The FPM flow model considers that the groundwater simultaneously flows within fractures and through the block matrices in which the fractures are embedded. The fluid is exchanged between rock matrices and fractures.…”

Section: Introductionmentioning

confidence: 99%

“…Thus, this kind of model can benefit from the advantages of both the EPM (representing the flow in the block matrices) and DFN models (simulating the high conductivity of the fractures). Domain discretization methods, such as finite element method (FEM) 16,17 and finite volume method, 12,18 considerably hinder the generation of an appropriate mesh for a domain comprising numerous randomly distributed fractures. Lang et al 21 used a commercial nonuniform rational basis spline three-dimensional (3-D) modeling software to prepare the model geometries and a commercial Octree mesher in a noninteractive manner to generate tetrahedral-triangular finite element meshes required for studying the permeability tensor of a 3-D fractured porous rock mass.…”

Section: Introductionmentioning

confidence: 99%

“…There are three major approaches used to model fluid flow in fractured rocks. These are based on the (1) equivalent continuum medium or equivalent porous medium (EPM), 1–5 (2) discrete fracture network (DFN), 6–11 and (3) fractured porous medium (FPM) or dual‐medium flow models 12–20 . The FPM flow model considers that the groundwater simultaneously flows within fractures and through the block matrices in which the fractures are embedded.…”

Section: Introductionmentioning

confidence: 99%

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Demonstration and application of NMM‐based fractured porous medium flow model

Zhang

Song

Hai-dong

et al. 2020

Num Anal Meth Geomechanics

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In natural rock masses, the shapes of three-dimensional (3-D) blocks cut by arbitrary fracture networks may be very complex. Owing to the geometric complexity and difficulty of mesh discretization of 3-D blocks and fracture facets, explicit consideration of fracture networks in flow analysis of fractured porous medium (FPM) is very challenging. Using the numerical manifold method based on independent covers (NMMIC), an FPM flow model was proposed that can deal with very complex 3-D fracture networks. In this paper, the convergence of NMMIC was first demonstrated. The theoretical basis of the arbitrary refinement of computational meshes was proven. Moreover, three peculiarities of NMMIC meshes, that is, arbitrary shape, arbitrary connection, and arbitrary refinement of independent covers, were concluded. Finally, some two-dimensional (2-D) tunnel flow examples were analyzed and the numerical results were compared with the analytical results. 3-D examples with complex fracture distributions were also analyzed. In addition, the computational scale of the developed program was tested by increasing the number of computational elements. The results show that our model can accurately analyze the groundwater flow of rocks surrounding tunnels with complex fracture distributions. K E Y W O R D S flow analysis of rock mass, fractured porous medium flow model, independent cover, numerical manifold method (NMM), mesh refinement 132

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Demonstration and application of NMM‐based fractured porous medium flow model

Zhang

Song

Hai-dong

et al. 2020

Num Anal Meth Geomechanics

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“…The explicit approach considers the exact spatial position and hydraulic property of each fracture deterministically, while the implicit approach takes into account the influences of fractures by means of the equivalent permeability tensor. The explicit approach can be further divided into two kinds of models: the discrete fracture network (DFN) model (Kalbacher et al , 2007; Erhel et al , 2009; Mustapha, 2011a; Jiang et al , 2013, 2014; Mohajerani et al , 2015, 2017; Lei et al , 2017) and the fractured porous medium (FPM) model (Hoteit and Firoozabadi, 2008; Hattingh and Reddy, 2009; Nick and Matthai, 2011; Blessent et al , 2011; Mourzenko et al , 2011; Huang et al , 2014; Yao et al , 2015; Pouya, 2015; Verde and Ghassemi, 2016). The DFN model neglects the permeability of rock matrix, while the FPM model considers simultaneously the influences of fractures and rock matrix.…”

Section: Introductionmentioning

confidence: 99%

Estimation of equivalent permeability tensor for fractured porous rock masses using a coupled RPIM-FEM method

Zhang

Cong

Bian

et al. 2019

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Purpose Understanding the fluid flow through rock masses, which commonly consist of rock matrix and fractures, is a fundamental issue in many application areas of rock engineering. As the equivalent porous medium approach is the dominant approach for engineering applications, it is of great significance to estimate the equivalent permeability tensor of rock masses. This study aims to develop a novel numerical approach to estimate the equivalent permeability tensor for fractured porous rock masses. Design/methodology/approach The radial point interpolation method (RPIM) and finite element method (FEM) are coupled to simulate the seepage flow in fractured porous rock masses. The rock matrix is modeled by the RPIM, and the fractures are modeled explicitly by the FEM. A procedure for numerical experiments is then designed to determinate the equivalent permeability tensor directly on the basis of Darcy’s law. Findings The coupled RPIM-FEM method is a reliable numerical method to analyze the seepage flow in fractured porous rock masses, which can consider simultaneously the influences of fractures and rock matrix. As the meshes of rock matrix and fracture network are generated separately without considering the topology relationship between them, the mesh generation process can be greatly facilitated. Using the proposed procedure for numerical experiments, which is designed directly on the basis of Darcy’s law, the representative elementary volume and equivalent permeability tensor of fractured porous rock masses can be identified conveniently. Originality/value A novel numerical approach to estimate the equivalent permeability tensor for fractured porous rock masses is proposed. In the approach, the RPIM and FEM are coupled to simulate the seepage flow in fractured porous rock masses, and then a numerical experiment procedure directly based on Darcy’s law is introduced to estimate the equivalent permeability tensor.

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“…Zhang and Yao [7] applied multiscale finite element method to simulate two-phase flow in fractured media used discrete fracture model; Hajibeygi and Karvounis [8] devised an iterative multiscale finite volume method for the simulation of multiphase flow in fractured porous media used hierarchical fracture model. Because the parameters of discrete fracture model and hierarchical fracture model are difficulty to obtained, dual porosity model [9] are used in this paple.…”

Section: Introductionmentioning

confidence: 99%

Global Multiscale Finite Element Method for Flow in Fractured Media

Meng

Zhou

et al. 2014

AMR

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Numerical simulation in fractured media is challenging because of the complex microstructure and the coupled fluid flow in porous and fractured media. In this paper, we have extended the global multiscale finite element method (GMsFEM) to study the fluid flow in fractured media with a dual porosity model. By using the fine-scale solution at t=0 to determine the boundary conditions of the basis function, local and nonlocal informations are reflected in the basis functions. As a result, an accurate solution can be achieved in the coarse scale. Numerical example demonstrate that the solution of GMsFEM is highly consistent with the fine-scale solution of FEM. Furthermore, GMsFEM provides a great computational efficiency.

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A finite element approach for modelling single-phase compressible flow in dual porosity systems

Cited by 9 publications

References 23 publications

Demonstration and application of NMM‐based fractured porous medium flow model

Demonstration and application of NMM‐based fractured porous medium flow model

Estimation of equivalent permeability tensor for fractured porous rock masses using a coupled RPIM-FEM method

Global Multiscale Finite Element Method for Flow in Fractured Media

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