A thermo-poro-mechanical constitutive and numerical model for deformation in sedimentary basins

Brüch, A.; Maghous, Samir; Ribeiro, Fernando L. B.; Dormieux, Luc

doi:10.1016/j.petrol.2017.10.036

Cited by 9 publications

(29 citation statements)

References 60 publications

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“…In order to be able to model properly the effect of horizontal stress and strain on porosity changes, a constitutive law presented here provides results as relevant as Athy and Schneider models in oedometric context and can also take into account the effect of horizontal stress and strain in basin history. The law is based on the theoretical framework of poro-mechanics in finite strain that has already been considered in an isothermal (Maghous et al, 2013) or thermal context (Brüch et al, 2018).…”

Section: Modelling Approachmentioning

confidence: 99%

“…Chemical compaction is governed by temperature (Houseknecht, 1984), grain size (Houseknecht, 1988), pore pressure and, water salinity and pH. These phenomena can be modelled with a visco-plastic behaviour as it has been shown in an oedometric context (Schneider et al, 1996) or considering a proper tensorial description of in situ stresses (Brüch et al, 2018). Another phenomenon that could be considered at the considered time scales is creep, nevertheless it is usually ignored in basin modelling for the sake of simplicity.…”

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confidence: 99%

“…More recent works have been focusing on the study of advanced geomechanical models applied to synthetic test cases (Guilmin, 2012;Maghous et al, 2013;Obradors-Prats et al, 2017;Brüch et al, 2018). Nevertheless, these models are not related to usual basin modelling compaction laws that are linking vertical effective stress to porosity (Hantschel and Kauerauf, 2009;Athy, 1930;Smith, 1971;Schneider et al, 1996;Schneider and Hay, 2001) considering empirical approaches.…”

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confidence: 99%

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Coupled Modeling of Sedimentary Basin and Geomechanics: A Modified Drucker–Prager Cap Model to Describe Rock Compaction in Tectonic Context

et al. 2019

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The aim of basin modeling is to characterise fluids and rocks in a basin considering its history and data partly describing its present state. In usual basin simulators, only a simplified description of geomechanics based on the hypothesis of oedometric strain is used. In order to both enhance the modelling of basin history and to characterise actual in situ stresses, the effect of stress redistribution, horizontal stresses and strain variations during basin history should be considered. To address this point, a coupled basingeomechanics framework based on a new constitutive law is proposed in this paper using the prototype simulator A 2. This framework has been built to provide relevant results for various kinds of basin cases including tectonic loading. A finite strain poro-mechanical approach is considered along with an modified Drucker-Prager Cap model to describe rock compaction under natural sedimentation, erosion and tectonics. The constitutive model can be seen as a tensorial extension of the compaction models of Athy or Schneider as it allows to recover the same behaviour in oedometric context. Simple test cases are modelled considering typical sand or shale properties, emphasing the effect of tectonic loading on present day pore pressures and in situ stresses. It appears that even relatively moderate tectonic loading (5% of horizontal strain) can lead to overpressures of several hundreds of bars and to a complete change in in situ stress regime for deeply buried layers (above a depth of 2000 meters).

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Section: Modelling Approachmentioning

confidence: 99%

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confidence: 99%

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confidence: 99%

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Coupled Modeling of Sedimentary Basin and Geomechanics: A Modified Drucker–Prager Cap Model to Describe Rock Compaction in Tectonic Context

et al. 2019

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“…[27][28][29][30] Despite these difficulties, different approaches aimed at addressing chemo-mechanical compaction in sedimentary basins at macroscopic level have been formulated in literature. 5,[31][32][33][34][35] To deal with these coupled phenomena, Brüch et al 36 developed a constitutive model for the fully saturated porous material in a thermo-poro-mechanics framework, which was incorporated in a numerical tool on the basis of the FE method. This model has its origins in previous works, [37][38][39][40][41][42][43][44] which aimed to describe purely mechanical compaction of sediments.…”

Section: Introductionmentioning

confidence: 99%

“…The analysis is restricted to drained and isothermal conditions, disregarding the effect of pore pressure and temperature on the material. The semianalytical solutions are compared with those obtained by the numerical simulator developed by Brüch et al 36 It should be noted that the proposed analysis is developed within a purely academic situation that relies upon a simplified geological scenario for compaction processes. In that respect, the primary objective of the paper is to provide reference solutions derived for compaction in sedimentary basins in the context of highly simplified setting, and not to predict the mechanical state that would prevail in real data life basin.…”

Section: Introductionmentioning

confidence: 99%

Formulation of reference solutions for compaction process in sedimentary basins

Lemos

Brüch

Maghous

2020

Num Anal Meth Geomechanics

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This paper is devoted to the development of semianalytical solutions for the deformation induced by gravitational compaction in sedimentary basins. Formulated within the framework of coupled plasticity-viscoplasticity at large strains, the modeling dedicates special emphasis to the effects of material densification associated with large irreversible porosity changes on the stiffness and hardening of the sediment material. At material level, the purely mechanical compaction taking place in the upper layers of the basin is handled in the context of finite elastoplasticity, whereas the viscoplastic component of behavior is intended to address creep-like deformation resulting from chemomechanical that prevails at deeper layers. Semianalytical solutions describing the evolution of mechanical state of the sedimentary basin along both the accretion and postaccretion periods are presented in the simplified oedometric setting. These solutions can be viewed as reference solutions for verification and benchmarks of basin simulators. The proposed approach may reveal suitable for parametric analyses because it requires only standard mathematics-based software for PDE system resolution. The numerical illustrations provide a quantitative comparison between the derived solutions and finite element predictions from an appropriate basin simulator, thus showing the ability of the approach to accurately capture essential features of basin deformation.

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Coupled poro‐mechanical tangent formulation applied to sedimentary basin modeling

Brüch

Guy

Lemos

et al. 2021

Num Anal Meth Geomechanics

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Sedimentary basin modeling involves large space domains and time periods.Reproducing the compaction processes of the sediment material requires the constitutive model to be formulated in the framework of large irreversible strains, taking both geometric and physical nonlinearities into account. This work presents a tangent formulation for the coupled poro-mechanical system of equations resulting from the weak form of the momentum and fluid mass balance equations. The proposed workflow is integrated in a thermo-poro-mechanical finite element basin simulator. At material level, purely mechanical and chemomechanical deformations are respectively addressed by means of plastic and viscoplastic components in the macroscopic state equations. The accuracy and efficiency of the proposed tangent formulation are assessed through the simulation of a basin geological scenario involving gravitational compaction and tectonic shortening. Both drained and undrained behaviors of the basin rocks are simulated. The procedure has significantly improved the convergence rate and reduced the computational cost with comparison to the original formulation based on the standard poro-elastic coefficients. In order to illustrate the potential of the basin simulator to deal with real case applications, a well model from the Neuquén basin in Argentina is also presented. The results are validated against available numerical and field data for porosity, pore-pressure and temperature.

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A thermo-poro-mechanical constitutive and numerical model for deformation in sedimentary basins

Cited by 9 publications

References 60 publications

Coupled Modeling of Sedimentary Basin and Geomechanics: A Modified Drucker–Prager Cap Model to Describe Rock Compaction in Tectonic Context

Coupled Modeling of Sedimentary Basin and Geomechanics: A Modified Drucker–Prager Cap Model to Describe Rock Compaction in Tectonic Context

Formulation of reference solutions for compaction process in sedimentary basins

Coupled poro‐mechanical tangent formulation applied to sedimentary basin modeling

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