Flow-Driven Branching in a Frangible Porous Medium

Derr, N. J.; Fronk, David; Weber, Christoph A.; Mahadevan, Amala; Rycroft, Chris H.; Mahadevan, L.

doi:10.1103/physrevlett.125.158002

Cited by 21 publications

(16 citation statements)

References 21 publications

(27 reference statements)

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“…Here, we explore the competition between swelling and erosion in porous media performing simulations with the lattice-Boltzmann method. This competition differs from the above mentioned studies on erosion-deposition competition [13,16,17,18] since, while erosion changes the local properties of the solid matrix, the swelling directly affects it globally through volume and surface area. We assume that erosion depends linearly on the wall shear stress and that there is an erosion threshold that prevents erosion for low shear stress, as implemented on previous works [13].…”

Section: Introductionmentioning

confidence: 78%

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Flow through time-evolving porous media: swelling and erosion

Matias,

Coelho,

Andrade

et al. 2020

Preprint

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The flow through a porous medium strongly depends on the boundary conditions, very often assumed to be static. Here, we consider changes in the medium due to swelling and erosion and extend existing Lattice-Boltzmann models to include both. We study two boundary conditions: a constant pressure drop and a constant flow rate. For a constant flow rate, the steady state depends solely on the erosion dynamics while for a constant pressure drop it depends also on the timescale of swelling. We analyze the competition between swelling and erosion and identify a transition between regimes where either swelling or erosion dominate.

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Section: Introductionmentioning

confidence: 78%

“…Previous research works have focused on the impact of erosion and deposition. It was shown, experimentally [14,15] and numerically [13,16], that erosion and deposition can lead to channelization of porous media. These changes in the medium can even lead to clogging of pipes [17,18,19].…”

Section: Introductionmentioning

confidence: 99%

Flow through time-evolving porous media: swelling and erosion

Matias,

Coelho,

Andrade

et al. 2020

Preprint

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“…These dynamics can be greatly complicated by the presence of a fluid flow which significantly distorts the field c and thereby alters local gradients. The flow may be forced externally [1,[31][32][33][34][35][36][37] or driven by buoyancy variations created by the solute [23,24,38], as in the present study. The evolution of flow, solute, and body shape are thus inextricably linked.…”

mentioning

confidence: 99%

Morphological attractors in natural convective dissolution

Mac Huang,

Moore

2021

Preprint

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Recent experiments demonstrate how a soluble body placed in a fluid spontaneously forms a dissolution pinnacle -a slender, upward pointing shape that resembles naturally occurring karst pinnacles found in stone forests. This unique shape results from the interplay between interface motion and the natural convective flows driven by the descent of relatively heavy solute. Previous investigations suggest these structures to be associated with shock-formation in the underlying evolution equations, with the regularizing Gibbs-Thomson effect required for finite tip curvature. Here, we find a class of exact solutions that act as attractors for the shape dynamics in two and three dimensions. Intriguingly, the solutions exhibit large but finite tip curvature without any regularization, and they agree remarkably well with experimental measurements. The relationship between the dimensions of the initial shape and the final state of dissolution may offer a principle for estimating the age and environmental conditions of geological structures.

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“…The rate of change of the radii depends on local fluid flow parameters, however, the exact dependence is unknown. Different models have been used where erosion is assumed to be locally proportional to shear stress at the walls [33][34][35][36], power dissipation by flow [37][38][39], or local pressure difference [21,40]. We use a general constitutive model which may implement a diverse set of erosion or clogging dynamics and thus allows us to study the effect of different laws in a unified way.…”

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confidence: 99%

Temporal Evolution of Flow in Pore-Networks: From Homogenization to Instability

Zareei,

Pan,

Amir

2021

Preprint

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We study the dynamics of flow-networks in porous media using a pore-network model. First, we consider a class of erosion dynamics assuming a constitutive law depending on flow rate, local velocities, or shear stress at the walls. We show that depending on the erosion law, the flow may become uniform and homogenized or become unstable and develop channels. By defining an order parameter capturing these different behaviors we show that a phase transition occurs depending on the erosion dynamics. Using a simple model, we identify quantitative criteria to distinguish these regimes and correctly predict the fate of the network, and discuss the experimental relevance of our result.

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Flow-Driven Branching in a Frangible Porous Medium

Cited by 21 publications

References 21 publications

Flow through time-evolving porous media: swelling and erosion

Flow through time-evolving porous media: swelling and erosion

Morphological attractors in natural convective dissolution

Temporal Evolution of Flow in Pore-Networks: From Homogenization to Instability

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