2010
DOI: 10.1029/2009jb007191
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Pore pressure evolution in deforming granular material: A general formulation and the infinitely stiff approximation

Abstract: [1] The physics of deformation of fluid-filled granular media controls many geophysical systems, ranging from shear on geological faults to landslides and soil liquefaction. Its great complexity is rooted in the mechanical coupling between two deforming phases: the solid granular network and the fluid-filled pore network. Often deformation of the granular network leads to pore fluid pressure (PP) changes. If the PP rises enough, the fluid-filled granular media may transition from a stress-supporting grain netw… Show more

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Cited by 66 publications
(92 citation statements)
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References 68 publications
(126 reference statements)
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“…Our method is to derive a one-dimensional equation for fluid flow in the vertical direction based on the assumptions of mass conservation and Darcy's law for fluid flow through porous media in a manner very similar to [8]. Although the same derivation can be trivially extended to three dimensions mathematically, it provides no additional qualitative understanding for the main point of this study, which is that fluid flow and soil inhomogeneity are of critical importance in the liquefaction phenomenon.…”
Section: Introductionmentioning
confidence: 99%
See 1 more Smart Citation
“…Our method is to derive a one-dimensional equation for fluid flow in the vertical direction based on the assumptions of mass conservation and Darcy's law for fluid flow through porous media in a manner very similar to [8]. Although the same derivation can be trivially extended to three dimensions mathematically, it provides no additional qualitative understanding for the main point of this study, which is that fluid flow and soil inhomogeneity are of critical importance in the liquefaction phenomenon.…”
Section: Introductionmentioning
confidence: 99%
“…Their model does show, however, that our understanding of even tabletop-sized experiments may be flawed, as they observe liquefaction under all conditions in assemblies whose bulk density was either relatively loose or dense. In an earlier paper [8], a non-dimensional continuum equation for dynamic fluid flow was derived which is valid for mesoscopic scales and based on conservation of mass together with Darcy's law. Their equation provides much of what is required to analyse a realistic soil deposit, though they explicitly neglect certain aspects, for example thermal heating, and they do not extensively analyse the equation in the context of typical near-surface liquefaction conditions.…”
Section: Introductionmentioning
confidence: 99%
“…The fluid can be explicitly considered by expressing this law in terms of total stress and fluid pressure, using Equations (8,9) which leads to a formulation corresponding to Terzaghi's 1936 effective stress formulation [77,78]:…”
Section: Physical Explanation Of the Experimentsmentioning
confidence: 99%
“…However, the idea of putting them together via a system of deformable porous medium with a fluid flow makes the phenomena even harder to understand. Rapid changes in the porosity of the medium due to fluid flow, channeling and fracturing via momentum exchange with the flow make understanding the mechanics of the system a challenge [6][7][8][9]. Hydraulic fracturing of the ground is a good example for this coupled behavior of solid and fluid phases.…”
Section: Introductionmentioning
confidence: 99%
“…Furthermore, Goren et al (2010) performed granular simulations to present that initial dense packing of grains leads to initial pore dilatation, and loose packing does initial pore compaction.…”
Section: Constitutive Equation For Pore-related Pressurizationmentioning
confidence: 99%