Creep and relaxation functions of a heterogeneous viscoelastic porous medium using the Mori-Tanaka homogenization scheme and a discrete microscopic retardation spectrum

Le, Qiu; Meftah, Fékri; He, Qi‐Chang; Pape, Yann Le

doi:10.1007/s11043-008-9051-z

Cited by 25 publications

(19 citation statements)

References 9 publications

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“…The micro-macro approach is largely developed to deal with the case of heterogeneous composite comprising micro-fractured materials [3,16]. The coupling between the micro-macro technique and the LC transform [5,12] allows modeling the evolution of the viscoelastic properties of linear nonageing viscoelastic heterogeneous materials [7,9,10].…”

Section: Introductionmentioning

confidence: 99%

Generalized Kelvin model for micro-cracked viscoelastic materials

Sang

2014

Engineering Fracture Mechanics

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Section: Introductionmentioning

confidence: 99%

Generalized Kelvin model for micro-cracked viscoelastic materials

Sang

2014

Engineering Fracture Mechanics

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“…So, several homogenization modelling methods were used for predicting the elastic behaviour of cement based materials during the hardening phase [15][16][17][18][19][20][21][22], based on the knowledge of the elastic properties and volume fractions of its constituents either during the hydration or in post hydration phase. The predictive capabilities of such upscaling approaches to determine the macroscopic elastic properties seem to be well established.…”

Section: Prediction Of Elastic Properties By Homogenization Modellingmentioning

confidence: 99%

“…The predictive capabilities of such upscaling approaches to determine the macroscopic elastic properties seem to be well established. The extension of such approaches to the prediction of the isothermal and not ageing viscoelastic behaviour of cement paste or concrete to estimate their creep during post hydration was also proposed from the use of the correspondence principle based on the Laplace-Carson transformation [22]. All these studies were not performed at the very early stage of cement paste but later during the hardening phase where the distribution of phases is drastically different from the one observed at the very early age.…”

Section: Prediction Of Elastic Properties By Homogenization Modellingmentioning

confidence: 99%

Evolution of the Elastic Properties of an Oilwell Cement Paste at Very Early Age under Downhole Conditions: Characterization and Modelling

Bourissai

Meftah

Brusselle-Dupend

et al. 2013

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

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Re´sume´-É volution des proprie´te´s e´lastiques d'une paˆte de ciment pe´trolier au tre`s jeune aˆge dans des conditions HP/HT : caracte´risation expe´rimentale et mode´lisation -Une mode´lisation multie´chelle, couple´e avec un mode`le d'hydratation, est propose´e pour pre´dire l'e´volution des proprie´te´s e´lastiques d'une paˆte de ciment pe´trolier au tre`s jeune aˆge (jusqu'a`un jour). Des re´sultats expe´rimentaux montrent que la pression applique´e (1-200 bar) pendant la prise a peu d'effet sur la cine´tique d'hydratation contrairement a`la tempe´rature (20-60°C). Le mode`le d'hydratation retenu a e´te´valide´par des mesures calorime´triques. Les re´sultats de porosited e´duits de ce mode`le d'hydratation sont d'ailleurs cohe´rents avec des mesures de la porositeć onnecte´e effectue´es a`diffe´rents degre´s d'hydratation. La mode´lisation multi-e´chelle par homoge´ne´isation prend en compte l'e´volution des fractions volumiques des constituants de la paˆte de ciment au cours de l'hydratation. Le de´veloppement des proprie´te´s e´lastiques du ciment pe´trolier au tre`s jeune aˆge obtenues avec ce mode`le est en bon accord avec les mesures obtenues par la propagation d'ultrasons.Abstract -Evolution of the Elastic Properties of an Oilwell Cement Paste at Very Early Age under Downhole Conditions: Characterization and Modelling -A multi-scale homogenization approach coupled with a hydration model is adopted to predict the bulk and shear moduli evolution of an oilwell cement paste at a very early age (up to one day). Calorimetric experiments were performed to be compared with the results of the kinetics model and also to study the pressure and temperature effects on the hydration kinetics. The homogenization model results are in agreement with the elastic moduli measurements obtained from propagation of ultrasonic waves.

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“…Several homogenization modelling approaches of the elastic behaviour of concrete were proposed [5][6][7] based on the knowledge of the elastic properties and volume fractions of its constituents ( fig. 1) either during the hydration or in post-hydration phase.…”

Section: Homogenization Modelmentioning

confidence: 99%

“…The extension of such approaches to the prediction of the isothermal and no ageing viscoelastic behaviour of concrete to estimate its creep in post-hydration was also proposed from the use of the correspondence principle based on the Laplace-Carson transformation (Le et al [7]). But this principle cannot be applied on the hydrating cement paste because of the evolving hydrate phase viscoelasticity and exothermic reactions in progress.…”

Section: Homogenization Modelmentioning

confidence: 99%

Modelling of the elastic parameters development of an oilwell cement paste at a very early age under downhole conditions

Bourissai

Meftah

Brusselle-Dupend

et al. 2009

Computational Methods and Experiments in Materials Characterisation IV

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The characterisation and modelling of the mechanical behaviour of an oilwell cement paste at a very early age (≤24h) under high pressure and elevated temperature are studied. A multiscale homogenization approach is adopted. For this purpose, the evolution of the volume fractions of the different phases of the cement was determined by means of a kinetics model for the four main hydration reactions of a class G oilwell cement. Calorimetric experiments were performed in order to be compared with the results of the used kinetics model, on the one hand, and to study pressure and temperature effect on the hydration kinetics, on the other hand. A homogenization model is presented in order to predict the bulk and shear moduli evolutions. The model-based results are in agreement with dynamic moduli measurements data from ultrasonic propagation.

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Creep and relaxation functions of a heterogeneous viscoelastic porous medium using the Mori-Tanaka homogenization scheme and a discrete microscopic retardation spectrum

Cited by 25 publications

References 9 publications

Generalized Kelvin model for micro-cracked viscoelastic materials

Generalized Kelvin model for micro-cracked viscoelastic materials

Evolution of the Elastic Properties of an Oilwell Cement Paste at Very Early Age under Downhole Conditions: Characterization and Modelling

Modelling of the elastic parameters development of an oilwell cement paste at a very early age under downhole conditions

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