A fully coupled dynamic model for two-phase fluid flow in deformable porous media

Schrefler, Bernhard A.; Scotta, Roberto

doi:10.1016/s0045-7825(00)00390-x

Cited by 165 publications

(109 citation statements)

References 18 publications

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“…These papers introduce the important concept of effective stress in saturated porous media for describing the -settlements of soils under load.‖ In a more recent paper, Schrefler and Scotta (2001) Owing to the dynamic deformation of the porous skeleton, our formulation is naturally in terms of a moving (accelerating) coordinate system. Much existing work in coupling flow and geomechanics resorts to small deformation theory, such that material deformation can be assumed negligible.…”

Section: Coupling Geomechanics and Flow In Porous Mediamentioning

confidence: 99%

Computational thermal, chemical, fluid, and solid mechanics for geosystems management.

Davison¹,

Alger²,

Turner³

et al. 2011

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This document summarizes research performed under the SNL LDRD entitled -Computational Mechanics for Geosystems Management to Support the Energy and Natural Resources Mission.‖ The main accomplishment was development of a foundational SNL capability for computational thermal, chemical, fluid, and solid mechanics analysis of geosystems. The code was developed within the SNL Sierra software system. This report summarizes the capabilities of the simulation code and the supporting research and development conducted under this LDRD. 4

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Section: Coupling Geomechanics and Flow In Porous Mediamentioning

confidence: 99%

Computational thermal, chemical, fluid, and solid mechanics for geosystems management.

Davison¹,

Alger²,

Turner³

et al. 2011

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“…Schrefler and Scotta [27] present a fully coupled model of multiphase flow in a deformable poroelastic medium. They use a finite element method to solve for the displacements of the solid matrix and the pressures of the two phases.…”

Section: Introductionmentioning

confidence: 99%

Novel basin modelling concept for simulating deformation from mechanical compaction using level sets

et al. 2017

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As sedimentation progresses in the formation and evolution of a depositional geologic basin, the rock strata are subject to various stresses. With increasing lithostatic pressure, compressional forces act to compact the porous rock matrix, leading to overpressure buildup, changes in the fluid pore pressure and fluid flow. In the context of petroleum systems modelling, the present study concerns the geometry changes that a compacting basin experiences subject to deposition. The purpose is to track the positions of the rock layer interfaces as compaction occurs. To handle the challenge of potentially large geometry deformations, a new modelling concept is proposed that couples the pore pressure equation with a level set method to determine the movement of lithostratigraphic interfaces. The level set method propagates an interface according to a prescribed speed. The coupling term for the pore pressure and level-set equations consists of this speed function, which is dependent on the compaction law. The two primary features of this approach are the simplicity of the grid and the flexibility of the speed function. A first evaluation of the model concept is presented based on an implementation for one spatial dimension accounting for vertical effective stress. Isothermal conditions with a constant fluid density and viscosity were assumed. The accuracy of the implemented numerical solution for the case of a single stratigraphic unit with a linear compaction law was compared to the available analytical solution [38]. The multi-layer setup and the nonlinear case were tested for plausibility.

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“…This approach provides an ideal framework for multiphasic and multicomponent continua including arbitrary solid deformations based on elasticity, viscoelasticity, or elastoplasticity, as well as an arbitrary pore content of either miscible or immiscible fluids, liquids and gases. The reader who is interested in the basics of the TPM is referred, for example, to the publications of de Boer (2000), de Boer and Ehlers (1986), Bowen (1980Bowen ( , 1982, Ehlers (1991Ehlers ( , 1989Ehlers ( , 2002, Ehlers et al (2004), Wieners et al (2005), Ehlers and Graf (2007), Ehlers (2009) or Schrefler and Zhan (1993), Schrefler and Scotta (2001), and citations therein.…”

Section: Introductionmentioning

confidence: 99%

Interfacial Mass Transfer During Gas–Liquid Phase Change in Deformable Porous Media with Heat Transfer

Ehlers

Häberle

2016

Transp Porous Med

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Transitions between liquid and gaseous phases of a fluid material are characterised by a jump in density and the coexistence of both phases during the phase change process. The jump occurs at the interface between the fluid phases and can be handled numerically by the introduction of a singular surface. This allows for a thermodynamically consistent description of mass transfer across the interface and the transition of the interfacial term towards the mass production term included in the mass balance equations. In the present article, a multicomponent and multiphasic porous aggregate is treated in a non-isothermal environment, while accounting for the thermodynamics of the fluid-phase transitions. Based on the Theory of Porous Media, this approach provides a well-founded continuum mechanical basis for the description of deformable, fluid-saturated porous solid aggregates. In particular, a bicomponent, triphasic model is proposed consisting of a thermoelastic porous solid, which is percolated by compressible gaseous and liquid fluid phases. The thermodynamical behaviour, i.e. the dependency of the fluid densities on temperature and pressure, is governed by the van der Waals equation of state and the Antoine equation for the vaporisation-condensation line. Moreover, the interface between the fluid phases is represented by a singular surface and results in jump conditions included in the balance relations of the components of the overall aggregate. The evaluation of the jump conditions leads to a formulation of the interfacial mass transfer, which basically relates the energy added to the system to the latent heat needed for the phase change in a certain amount of a substance. The mass transfer itself or the mass production, respectively, furthermore depends on interfacial areas introduced as a function of

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A fully coupled dynamic model for two-phase fluid flow in deformable porous media

Cited by 165 publications

References 18 publications

Computational thermal, chemical, fluid, and solid mechanics for geosystems management.

Computational thermal, chemical, fluid, and solid mechanics for geosystems management.

Novel basin modelling concept for simulating deformation from mechanical compaction using level sets

Interfacial Mass Transfer During Gas–Liquid Phase Change in Deformable Porous Media with Heat Transfer

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