Dynamics of Swelling and Drying in a Spherical Gel

Bertrand, Thibault; Peixinho, Jorge; Mukhopadhyay, Somshuvra; MacMinn, Christopher W.

doi:10.1103/physrevapplied.6.064010

Cited by 124 publications

(210 citation statements)

References 56 publications

Supporting

Mentioning

187

Contrasting

Unclassified

Order By: Relevance

“…While this is the case for two immiscible fluids, it is not clear how this extends to a fluid‐infiltrated elastic solid. Moreover, our assumptions lead to a system that is consistent with recent studies of poromechanical swelling (see, e.g., Bertrand et al, ), in which the fluid flux is driven by chemical potential gradients.…”

Section: Governing Equationssupporting

confidence: 82%

A Poroelastic Model of Serpentinization: Exploring the Interplay Between Rheology, Surface Energy, Reaction, and Fluid Flow

2018

View full text Add to dashboard Cite

The interactions between reactive fluids and solids are critical in Earth dynamics. Implications of such processes are wide ranging: from earthquake physics to geologic carbon sequestration and the cycling of fluids and volatiles through subduction zones. Peridotite alteration is a common feature in many of these processes, which—despite its obvious importance—is relatively poorly understood from a geodynamical perspective. In particular, although frequently observed in nature, it is still unknown how rocks can undergo 100% hydration/carbonation. One potential explanation of this observation is the mechanism of reaction‐driven cracking: that volume changes associated with these reactions are large enough to fracture the surrounding rock, leading to a positive feedback where new reactive surfaces are exposed and fluid pathways are created. The purpose of this study is to investigate the relative roles of reaction, elastic stresses, and surface tension in alteration reactions. In this regard, we derive a system of equations describing reactive fluid flow in elastically deformable porous media, which we apply to a model of serpentinization in a subseafloor environment. The stoichiometry of the serpentinization reaction predicts net volume reduction of the multiphase system, which, according to our numerical simulations, can lead to failure in tension. We also explore a parameterization of surface energy in the model, which allows fluid to infiltrate regions of dry peridotite, significantly changing the stresses and potentially leading to growing crack fronts.

show abstract

Section: Governing Equationssupporting

confidence: 82%

A Poroelastic Model of Serpentinization: Exploring the Interplay Between Rheology, Surface Energy, Reaction, and Fluid Flow

2018

View full text Add to dashboard Cite

show abstract

“…The sliding friction coefficient on a glass plate has been determined to be approximately 0.02, one order of magnitude lower than that of the ASB. Similar hydrogels have been studied before [58][59][60][61]. In those experiments, the spheres were suspended in a fluorescence labeled fluid, and the characterization of static packings was in the focus of the investigations [60,61].…”

Section: Experimental Setup and Materialsmentioning

confidence: 99%

High-speed x-ray tomography of silo discharge

et al. 2019

View full text Add to dashboard Cite

The outflow of granular materials from storage containers with narrow outlets is studied by means of ultrafast x-ray computed tomography (UFXCT). The used acquisition speed of this tomograph is high enough to allow high-speed recording of two horizontal cross sections (each of them at a rate of 1000 images per second) of the container during the discharge of material. Analyzing space-time plots that were generated from the tomograms, we retrieve velocity profiles and packing structures in the container. We compare hard spherical grains with soft, low-friction hydrogel spheres. Their flow profiles are qualitatively different. While the hard spheres form stagnant zones at the container side walls, the hydrogel spheres with extremely low friction coefficient flow in all regions of the container. Moreover, a shell-like positional arrangement of the soft spheres induced by the container walls is revealed. The results obtained for the flow field structure confirm earlier conclusions drawn from sequences of x-ray tomograms of clogged states.

show abstract

“…Notable examples are landslides, levee failures, and ground collapses, all of which continuously threaten and damage the built environment [1][2][3][4][5]. Besides, soft porous materials in biophysics and materials science, such as tissues and hydrogels, often undergo very large deformations coupled with the flow of the pore fluid [6][7][8]. Therefore, the numerical modeling of large deformation problems in porous materials has been a significant challenge for researchers in many disciplines alike.…”

Section: Introductionmentioning

confidence: 99%

Stabilized material point methods for coupled large deformation and fluid flow in porous materials

Zhao

Choo

2020

Computer Methods in Applied Mechanics and Engineering

View full text Add to dashboard Cite

The material point method (MPM) has been increasingly used for the simulation of large deformation processes in fluid-infiltrated porous materials. For undrained poromechanical problems, however, standard MPMs are numerically unstable because they use low-order interpolation functions that violate the inf-sup stability condition. In this work, we develop stabilized MPM formulations for dynamic and quasi-static poromechanics that permit the use of standard low-order interpolation functions notwithstanding the drainage condition. For the stabilization of both dynamic and quasi-static formulations, we utilize the polynomial pressure projection method whereby a stabilization term is augmented to the balance of mass. The stabilization term can be implemented with both the original and generalized interpolation material point (GIMP) methods, and it is compatible with existing time-integration methods. Here we use fully-implicit methods for both dynamic and quasi-static poromechanical problems, aided by a block-preconditioned Newton-Krylov solver. The stabilized MPMs are verified and investigated through several numerical examples under dynamic and quasi-static conditions. Results show that the proposed MPM formulations allow standard low-order interpolation functions to be used for both the solid displacement and pore pressure fields of poromechanical formulations, from undrained to drained conditions, and from dynamic to quasi-static conditions.

show abstract

Dynamics of Swelling and Drying in a Spherical Gel

Cited by 124 publications

References 56 publications

A Poroelastic Model of Serpentinization: Exploring the Interplay Between Rheology, Surface Energy, Reaction, and Fluid Flow

A Poroelastic Model of Serpentinization: Exploring the Interplay Between Rheology, Surface Energy, Reaction, and Fluid Flow

High-speed x-ray tomography of silo discharge

Stabilized material point methods for coupled large deformation and fluid flow in porous materials

Contact Info

Product

Resources

About