Flow through fissured porous media with deformable matrix

Valliappan, S.; Khalili-Naghadeh, N.

doi:10.1002/nme.1620290512

Cited by 81 publications

(35 citation statements)

References 7 publications

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“…It may be thought of as a number of porous blocks separated from each other by a system of randomly distributed fissures. Thus, here again, macropores correspond to fissures and micropores to pores of porous blocks (Valliappan and Khalili, 1990).…”

Section: Concept Of Double Porositymentioning

confidence: 82%

Suction Induced Effects on the Fabric of a Structured Soil

et al. 2006

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Abstract. This paper presents the mathematical modelling of the modification of the pore space geometry of a structured soil subjected to suction increase. Structured soil concepts are first introduced considering different fabric units, such as aggregates and fissures. The numerical modelling of the structural evolution is based on experimental test results in which the evolution of the structure of the samples subjected to different suctions is determined using the mercury intrusion porosimetry technique. From this information, the macro and micropore volume evolutions are determined. The results show that drying produces a reduction in the soil total porosity which mainly corresponds to a reduction of the macropore volume. Associated with this phenomenon, an increase in micropore volume is also observed. The proposed model divides pore size distribution into three pore classes (micropores, macropores and non-affected areas). Using the concept of a suction-influenced domain, the proposed model is able to reproduce the main observed fabric evolution between the saturated and dry states.Key words: structured soil, fabric, suction, pore size distribution. List of notation for mathematical equations RThe entrance pore radius T s Surface tension of the liquid α Contact angle of fluid interface to solidThe drained pore radius at that value of suction ψ Total moving volume fraction from macropores to micropores C 2 , C 3 Proportionality coefficients

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Section: Concept Of Double Porositymentioning

confidence: 82%

Suction Induced Effects on the Fabric of a Structured Soil

et al. 2006

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“…A nonnegligible change in the porosity may happen due to chemical reactions such as precipitation and dissolution [170]. The transport properties are typically considered as a function of porosity ( [171][172][173][174][175] and many others) but in an evolving pore skeleton, these properties may change considerably as they depend on the details of the pore-scale geometry. To consider the effects due to the evolving microstructure is of crucial importance for obtaining reliable upscaled models, because otherwise features like pore clogging or damaging of the structure will not be captured at all.…”

Section: Deformable Porous Mediamentioning

confidence: 99%

Flow and Transport in Tight and Shale Formations: A Review

et al. 2017

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A review on the recent advances of the flow and transport phenomena in tight and shale formations is presented in this work. Exploration of oil and gas in resources that were once considered inaccessible opened the door to highlight interesting phenomena that require attention and understanding. The length scales associated with transport phenomena in tight and shale formations are rich. From nanoscale phenomena to field-scale applications, a unified frame that is able to encounter the varieties of phenomena associated with each scale may not be possible. Each scale has its own tools and limitations that may not, probably, be suitable at other scales. Multiscale algorithms that effectively couple simulations among various scales of porous media are therefore important. In this article, a review of the different length scales and the tools associated with each scale is introduced. Highlights on the different phenomena pertinent to each scale are summarized. Furthermore, the governing equations describing flow and transport phenomena at different scales are investigated. In addition, methods to solve these equations using numerical techniques are introduced. Cross-scale analysis and derivation of linear and nonlinear Darcy's scale laws from pore-scale governing equations are described. Phenomena occurring at molecular scales and their thermodynamics are discussed. Flow slippage at the nanosize pores and its upscaling to Darcy's scale are highlighted. Pore network models are discussed as a viable tool to estimate macroscopic parameters that are otherwise difficult to measure. Then, the environmental aspects associated with the different technologies used in stimulating the gas stored in tight and shale formations are briefly discussed.

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“…Alternative of Aifantis' formulation were also given latter by others in this area, e.g. Valliappan and Khalili (1990), Cho et al (1991), Bai et al (1993), Berryman and Wang (1995), Ghafouri and Lewis (1996), Chen and Teufel (1998), in chronological order. The majority of these works, however, concentrated on single-phase flow phenomena in a deformable geo-material, which has its special utility in civil engineering application like footing analysis etc.…”

Section: Introductionmentioning

confidence: 99%

Numerical Simulation of Three-Phase Flow in Deforming Fractured Reservoirs

Lewis

Pao

2002

Oil & Gas Science and Technology - Rev. IFP

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Résumé -Modélisation numérique d'écoulements de fluides triphasiques et de la déformation de la roche pour des réservoirs fracturés -Dans cet article, les auteurs, s'appuyant sur la théorie de la double porosité, développent une formulation mathématique tridimensionnelle des écoulements de fluides triphasiques et de la déformation de la roche pour des réservoirs fracturés. La formulation actuelle, qui recouvre à la fois les équations d'équilibre mécanique et les équations de conservation de la masse dans le cas d'écoulements multiphasiques, rend compte de l'influence significative du couplage entre écoulements fluides et déformations solides, généralement non pris en compte ou négligés dans les publications traitant de la simulation des réservoirs. Une méthode par élément fini de type Galerkin est employée pour discrétiser les équations principales dans l'espace et un schéma en différences finies en temps est utilisé pour déterminer l'évolution au cours du temps. Comparé à des modèles similaires existants, celui-ci identifie non seulement la déformation interne du squelette rocheux sous l'effet de la pression différentielle entre le milieu poreux et le milieu fissuré, mais les équations de conservation de masse qui en résultent sont entièrement couplées. À titre de comparaison, un exemple à l'échelle d'un réservoir sert de test alpha de la robustesse de la méthodologie adoptée. Les résultats indiquent que le comportement du réservoir est sensiblement différent lorsque l'effet du couplage est représenté. Abstract -Numerical Simulation of Three-Phase Flow in Deforming Fractured

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Flow through fissured porous media with deformable matrix

Cited by 81 publications

References 7 publications

Suction Induced Effects on the Fabric of a Structured Soil

Suction Induced Effects on the Fabric of a Structured Soil

Flow and Transport in Tight and Shale Formations: A Review

Numerical Simulation of Three-Phase Flow in Deforming Fractured Reservoirs

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