Homogenized constitutive laws for rocks with elastoplastic fractures

Marmier, R.; Jeannin, Laurent; Barthélémy, Jean‐François

doi:10.1002/nag.595

Cited by 8 publications

(6 citation statements)

References 14 publications

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“…Only few references (Koutsabeloulis et al, 1994;Guttierez et al, 1997;Lewis and Ghafouri, 1997;Lewis and Pao, 2002;Marmier et al, 2006;Bagheri and Settari, 2008) are related to the integration of geomechanics in doubleporosity reservoir simulation. The assessment of such effects is usually carried out on very simple reservoir configurations and the applied methodology is not yet commonly implemented for the study of a real field case.…”

Section: Implementation Of Geomechanics In Fractured Reservoir Simulamentioning

confidence: 99%

Simulation of Naturally Fractured Reservoirs. State of the Art

Lemonnier

Bourbiaux

2010

Oil Gas Sci. Technol. – Rev. IFP

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Résumé -Simulation des réservoirs naturellement fracturés. État de l'art : Partie 2 -Échanges matrice-fracture et spécificités des études numériques -Les réservoirs naturellement fracturés contiennent une partie significative des réserves en huile mondiales. La production de ce type de réservoirs constitue un défi pour les ingénieurs de réservoir. L'utilisation des simulateurs de réservoir peut aider l'ingénieur de réservoir à mieux comprendre les principaux mécanismes physiques, à choisir le procédé de récupération le mieux adapté et à l'optimiser. Des progrès sensibles ont été réalisés depuis les premières publications sur le concept double-milieu dans les années soixante. Cet article et le précédent (Partie 1) présentent les techniques actuelles de modélisation utilisées dans les simulateurs industriels. Il n'y a pas de réponse définitive pour simuler de manière optimale les échanges matricefracture, et, différentes méthodes sont mises en oeuvre dans les simulateurs industriels de réservoir. Ce papier se concentre sur la modélisation de la physique des écoulements au sein des milieux matrice et fracture et des échanges entre ces deux milieux afin de mieux comprendre les différentes formulations proposées dans la littérature. Plusieurs problèmes particuliers liés à la simulation numérique des réservoirs fracturés sont aussi abordés avec une présentation de la prise en compte des effets géomécaniques, une application de la méthodologie d'évaluation des incertitudes à un cas de réservoir à gaz fracturé, et enfin une présentation de la méthodologie de calage d'historique des réservoirs fracturés. D o s s i e rOil & Gas Science and Technology -Rev. IFP, Vol. 65 (2010)

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Section: Implementation Of Geomechanics In Fractured Reservoir Simulamentioning

confidence: 99%

Simulation of Naturally Fractured Reservoirs. State of the Art

Lemonnier

Bourbiaux

2010

Oil Gas Sci. Technol. – Rev. IFP

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“…The present paper deals with the calculation of the mechanical effect of this second type of cracks. An abundant literature is devoted to the modeling of a medium with pervasive micro-cracks considering various characteristics of the latter, whether they are open or closed non-frictional (Kachanov, 1992(Kachanov, , 1993Leblond, 2000;Dormieux et al, 2006), frictional (Leguillon and Sanchez-Palencia, 1982;Andrieux et al, 1986), dilatant (Barthélémy et al, 2003;Marmier et al, 2007), propagating Gambarotta and Lagomarsino, 1993;Barthélémy, 2005;Zhu et al, 2007), dry or fluid filled or combining several characteristics in the cited papers and many others.…”

Section: Introductionmentioning

confidence: 97%

“…This is also the case for frictional cracks in an incremental formulation (Barthélémy et al, 2003;Marmier et al, 2007). The determination of this additional compliance can be obtained by homogenization methods allowing to estimate the relative displacement of the crack lips when the r.v.e.…”

Section: Introductionmentioning

confidence: 99%

Compliance and Hill polarization tensor of a crack in an anisotropic matrix

Barthélémy¹

2009

International Journal of Solids and Structures

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a b s t r a c tThis work aims at developing an efficient method to compute the compliance due to a crack modeled as a flat ellipsoid of any shape in an infinite elastic matrix of arbitrary anisotropy (Eshelby problem) when no closed-form solution seems currently available. Whereas the solution of this problem usually requires the calculation of the so-called fourth-order Hill polarization tensor if the ellipsoid is not singular, it is shown that the crack compliance can be derived from the first-order term in the Taylor expansion of the Hill tensor with respect to the smallest aspect ratio of the ellipsoidal inclusion. For a 3D ellipsoidal crack model, this first-order term is expressed as a simple integral thanks to the Cauchy residue theorem. A similar method allows to express the same term in the case of a cylindrical crack model without any integral. A numerical example is finally treated.

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“…The poroelastic dual porosity model was then developed based on an extension of the single poroelastic Biot theory by various researchers. [9][10][11][12] In the present paper, the idealized sugar cube dual porosity model is represented employing the homogenization multiscale approach. The technique is based on the Hill-Mandel theory of macrohomogeneity, 13 which is performed in 2 separated scales, called the "microscale" and "macroscale" levels.…”

Section: Introductionmentioning

confidence: 99%

A bridge between dual porosity and multiscale models of heterogeneous deformable porous media

Hajiabadi

Khoei

2018

Num Anal Meth Geomechanics

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Summary In this paper, a multiscale homogenization approach is developed for fully coupled saturated porous media to represent the idealized sugar cube model, which is generally employed in fractured porous media on the basis of dual porosity models. In this manner, an extended version of the Hill‐Mandel theory that incorporates the microdynamic effects into the multiscale analysis is presented, and the concept of the deformable dual porosity model is demonstrated. Numerical simulations are performed employing the multiscale analysis and dual porosity model, and the results are compared with the direct numerical simulation through 2 numerical examples. Finally, a combined multiscale‐dual porosity technique is introduced by employing a bridge between these 2 techniques as an alternative approach that reduces the computational cost of numerical simulation in modeling of heterogeneous deformable porous media.

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Homogenized constitutive laws for rocks with elastoplastic fractures

Cited by 8 publications

References 14 publications

Simulation of Naturally Fractured Reservoirs. State of the Art

Simulation of Naturally Fractured Reservoirs. State of the Art

Compliance and Hill polarization tensor of a crack in an anisotropic matrix

A bridge between dual porosity and multiscale models of heterogeneous deformable porous media

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