G23FM: a tool for meshing complex geological media

Mustapha, Hussein

doi:10.1007/s10596-010-9210-6

Cited by 17 publications

(4 citation statements)

References 19 publications

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“…Dealing with more realistic geometries and sequential Boolean operations to reproduce the succession of geological events calls for further numerical and mathematical developments. Meanwhile, as statistical properties of random sets are not easily checked in practical cases, the numerical approach to relate objects to physics clearly remains an area of much interest (Botella et al 2016;Cacace and Blöcher 2015;Karimi-Fard and Durlofsky 2016;Merland et al 2014;Mustapha 2011;Pellerin et al 2014;Zehner et al 2015).…”

Section: Object Uncertaintymentioning

confidence: 99%

Geological Objects and Physical Parameter Fields in the Subsurface: A Review

Caumon

2018

Handbook of Mathematical Geosciences

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Geologists and geophysicists often approach the study of the Earth using different and complementary perspectives. To simplify, geologists like to define and study objects and make hypotheses about their origin, whereas geophysicists often see the earth as a large, mostly unknown multivariate parameter field controlling complex physical processes. This chapter discusses some strategies to combine both approaches. In particular, I review some practical and theoretical frameworks associating petrophysical heterogeneities to the geometry and the history of geological objects. These frameworks open interesting perspectives to define prior parameter space in geophysical inverse problems, which can be consequential in under-constrained cases.

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Section: Object Uncertaintymentioning

confidence: 99%

Geological Objects and Physical Parameter Fields in the Subsurface: A Review

Caumon

2018

Handbook of Mathematical Geosciences

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“…To model both the rock matrix and fractures, an essential issue lies in the mesh generation in the presence of a high density of fractures (Sahimi et al , 2010; Mustapha, 2011b; Bahrainian et al , 2015; Pouya, 2015; Zhou et al , 2016; Malekan et al , 2017; Schiava D’Albano et al , 2017; Zhang et al , 2018). On one hand, the geometrical shape of the rock matrix is commonly rather complicated due to the cutting of the stochastic fractures.…”

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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“…Many researchers have studied or employed unstructured grids in geological simulations (Gable et al 1996;Kim and Deo 2000;Karimi-fard and Firoozabadi 2001;Monteagudo and Firoozabadi 2004;Karimi-fard et al 2004;Caumon et al 2005;Prévost et al 2005;Reichenberger et al 2006;Hoteit and B Alireza Daneh Dezfuli a.danehdezfuli@scu.ac.ir Firoozabadi 2008; Blessent et al 2009;Haegland et al 2009;Blöcher et al 2010;Sahimi et al 2010;Mustapha 2011;Tatomir et al 2011). Most of these researchers have utilized Delaunay triangulation or advancing front methods (Delaunay 1934;Bowyer 1981;Watson 1981;Weatherill 1985;Baker 1987;Löhner and Parikh 1988;Frey et al 1998;Pirzadeh 1999;Ito et al 2004).…”

Section: Introductionmentioning

confidence: 99%

Unstructured Grid Generation in Porous Domains for Flow Simulations with Discrete-Fracture Network Model

2015

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In this paper, an unstructured grid generation algorithm is presented to produce two-and three-dimensional grids in porous media with networks of discrete fractures. The proposed grid generation algorithm considers underground contours map data to adapt unstructured grids to geological geometries. This allows construction of more realistic geometrical models. Sample two-and three-dimensional unstructured grids have been generated in complex porous media with seven intersecting fractures. Two-dimensional grids were generated within 0.17-2.37 s of CPU time. Generation of three-dimensional grids including grid quality improvement measures took 109 s of CPU time. This final grid contains 763 fracture cells and 49,403 matrix cells. Angle distribution histograms of the three-dimensional grids show no skewed and flat angles within fracture and matrix cells. Two-and three-dimensional computational unstructured grids have been generated for geometries similar to published fractured porous media test cases. Incompressible and immiscible water-oil flow simulations were then obtained using these computational grids. Simulations gave identical results with published data which confirms the computational feature of the proposed unstructured grid generation algorithm.

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G23FM: a tool for meshing complex geological media

Cited by 17 publications

References 19 publications

Geological Objects and Physical Parameter Fields in the Subsurface: A Review

Geological Objects and Physical Parameter Fields in the Subsurface: A Review

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

Unstructured Grid Generation in Porous Domains for Flow Simulations with Discrete-Fracture Network Model

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