A model for conductive faults with non-matching grids

Tunc, Xavier; Faille, I.; Gallouët, Thierry; Cacas, M. C.; Havé, Pascal

doi:10.1007/s10596-011-9267-x

Cited by 55 publications

(61 citation statements)

References 21 publications

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“…parallel to the fault surface) without introducing a specific volumetric grid. The approach is based on a double interface fault model which has been described in details in (Tunc et al, 2012). Its principle is to reduce the 3D flow model in the fault zone to two interface models, one for each side of the fault, where the fault thickness becomes a parameter.…”

Section: Conductive Faultmentioning

confidence: 99%

Modeling Fluid Flow in Faulted Basins

Faille

Thibaut

Cacas

et al. 2014

Oil Gas Sci. Technol. – Rev. IFP Energies nouvelles

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Geosciences Numerical Methods Modélisation numérique en géosciencesOil & Gas Science and Technology -Rev. IFP Energies nouvelles, Vol. 69 (2014), No. 4, Copyright © 2014, IFP Energies nouvelles > EditorialJ. E. Roberts > Modeling Fractures in a Poro-Elastic MediumUn modèle de fracture dans un milieu poro-élastique > Modeling Fluid Flow in Faulted BasinsModélisation des transferts fluides dans les bassins faillés Re´sume´-Mode´lisation des transferts fluides dans les bassins faille´s -Cet article pre´sente un nouveau simulateur de bassin spe´cialement conc¸u pour mieux prendre en compte l'impact des failles sur l'e´coulement. Il simule les e´coulements, les transferts thermiques et la ge´ne´ration des hydrocarbures. Compare´aux simulateurs de bassins classiques, il utilise un concept innovant de maillage e´volutif suffisamment flexible pour suivre les de´formations d'un bassin en contexte tectonique complexe. Le maillage suit les se´diments et se de´forme continument pour suivre la se´dimentation, la compaction et les de´formations cine´matiques. Bien qu'il soit organise´suivant les couches stratigraphiques, le maillage est globalement non-structure´. Il peut contenir des mailles de type varie´telles que des hexae`dres, des te´trae`dres, des pyramides, des prismes ou des hexae`dres de´ge´ne´re´s. Les failles y sont repre´sente´es sous la forme de couple de surfaces de bord interne, qui peuvent glisser l'une par rapport a`l'autre. Le maillage est donc non conforme a`travers les failles. Diffe´rents mode`les d'e´coulement sont propose´s pour simuler le comportement des failles, allant des failles parfaitement imperme´ables aux failles conductrices. Le calculateur est base´sur une discre´tisation de type volumes finis centre´s sur les mailles qui est bien adapte´e aux e´quations de conservation. Le potentiel de ce nouveau simulateur est illustre´sur un cas semi-synthe´tique.Abstract -Modeling Fluid Flow in Faulted Basins -This paper presents a basin simulator designed to better take faults into account, either as conduits or as barriers to fluid flow. It computes hydrocarbon generation, fluid flow and heat transfer on the 4D (space and time) geometry obtained by 3D volume restoration. Contrary to classical basin simulators, this calculator does not require a structured mesh based on vertical pillars nor a multi-block structure associated to the fault network. The mesh follows the sediments during the evolution of the basin. It deforms continuously with respect to time to account for sedimentation, erosion, compaction and kinematic displacements. The simulation domain is structured in layers, in order to handle properly the corresponding heterogeneities and to follow the sedimentation processes (thickening of the layers). In each layer, the mesh is unstructured: it may include several types of cells such as tetrahedra, hexahedra, pyramid, prism, etc. However, a mesh composed mainly of hexahedra is preferred as they are well suited to the layered structure of the basin. Faults are handled as internal boundaries acros...

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Section: Conductive Faultmentioning

confidence: 99%

Modeling Fluid Flow in Faulted Basins

Faille

Thibaut

Cacas

et al. 2014

Oil Gas Sci. Technol. – Rev. IFP Energies nouvelles

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“…see [4,25,24,32,26,22], as well as in the mathematical literature, e.g. see [30,3,29,16,20,34,27,12,11], to name just a few. We use here the model developed in [30], where flow in the fracture as well as in the rock is governed by Darcy's law.…”

Section: Introductionmentioning

confidence: 99%

“…In this model, fractures lie along the edges of the mesh and can be easily opened or closed by adjusting the fracture parameters on edges, which makes it convenient for the purpose of fracture determination. This model has been extended so that one may use non-matching grids [20,33], or disconnect the fracture mesh from that of the domain [31,16]. It has also been extended to treat Forchheimer flow in the fracture [21,27], and multiphase flow [32], but these extensions are not considered in this paper.…”

Section: Introductionmentioning

confidence: 99%

First-order indicators for the estimation of discrete fractures in porous media

Ameur

Chavent

Fatma

et al. 2017

Inverse Problems in Science and Engineering

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Abstract:Faults and geological barriers can drastically affect the flow patterns in porous media. Such fractures can be modeled as interfaces that interact with the surrounding matrix. We propose a new technique for the estimation of the location and hydrogeological properties of a small number of large fractures in a porous medium from given distributed pressure or flow data. At each iteration, the algorithm builds a short list of candidates by comparing fracture indicators. These indicators quantify at the first order the decrease of a data misfit function; they are cheap to compute. Then, the best candidate is picked up by minimization of the objective function for each candidate. Optimally driven by the fit to the data, the approach has the great advantage of not requiring remeshing, nor shape derivation. The stability of the algorithm is shown on a series of numerical examples representative of typical situations.

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“…surfaces in 3D or lines in 2D. This approach can effectively reduce the number of unknowns in simulations because it removes the need for fine grids inside the fractures [4,5]. However, the aforementioned works are restricted to the case of grids that follow the shape of faults and fractures.…”

Section: Introductionmentioning

confidence: 99%

An Efficient XFEM Approximation of Darcy Flows in Arbitrarily Fractured Porous Media

Fumagalli

Scotti

2014

Oil Gas Sci. Technol. – Rev. IFP Energies nouvelles

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Re´sume´-Une approximation efficace par XFEM pour e´coulements de Darcy dans les milieux poreux arbitrairement fracture´s -Les e´coulements souterrains sont fortement influence´s par la pre´sence de failles et de grandes fractures qui modifient la perme´abilite´du milieu agissant comme des barrie`res ou des conduits pour l'e´coulement. Une description pre´cise des proprie´te´s hydrauliques des fractures est donc essentielle pour la mode´lisation de la migration du pe´trole ou de l'exploitation de ressources non conventionnelles. Toutefois, la largeur de fractures est souvent petite par rapport a`la taille typique des e´le´ments du maillage. Pour re´soudre le proble`me par une approximation nume´rique obtenue sans raffinement du maillage, on remplace les fractures par des surfaces immerge´es dans la matrice poreuse. Par ailleurs, on veut permettre aux surfaces d'eˆtre inde´pendantes par rapport a`la structure du maillage, en manipulant les discontinuite´s à l'inte´rieur des e´le´ments par la me´thode des e´le´ments finis e´tendus (XFEM Extended Finite Element Method). On utilise une technique similaire pour obtenir un outil plus flexible, apte a`la re´solution du proble`me dans les re´gions d'intersection potentielles entre les fractures.Abstract -An Efficient XFEM Approximation of Darcy Flows in Arbitrarily Fractured Porous Media -Subsurface flows are influenced by the presence of faults and large fractures which act as preferential paths or barriers for the flow. In literature models were proposed to handle fractures in a porous medium as objects of codimension 1. In this work we consider the case of a network of intersecting fractures, with the aim of deriving physically consistent and effective interface conditions to impose at the intersection between fractures. This new model accounts for the angle between fractures at the intersections and allows for jumps of pressure across the intersection. This latter property permits to describe more accurately the flow when fractures are characterised by different properties, than other models that impose pressure continuity. The main mathematical properties of the model, derived in the two-dimensional setting, are analysed. As concerns the numerical discretization we allow the grids of the fractures to be independent, thus in general non-matching at the intersection, by means of the Extended Finite Element Method (XFEM), to increase the flexibility of the method in the case of complex geometries characterized by a high number of fractures.

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A model for conductive faults with non-matching grids

Cited by 55 publications

References 21 publications

Modeling Fluid Flow in Faulted Basins

Modeling Fluid Flow in Faulted Basins

First-order indicators for the estimation of discrete fractures in porous media

An Efficient XFEM Approximation of Darcy Flows in Arbitrarily Fractured Porous Media

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