Inertial effects during irreversible meniscus reconfiguration in angular pores

Ferrari, Andrea; Lunati, Ivan

doi:10.1016/j.advwatres.2014.07.009

Cited by 86 publications

(79 citation statements)

References 25 publications

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“…Pore-network modeling, which takes advantage of a decomposition of the pore space in an ensemble of geometric shapes that drain in a sequential manner, based on the capillary entry pressures, neglects dynamical effects at the pore-scale. However, dynamical effects due to pore-scale instabilities can alter the displacement pathways [10] or lead to fluid redistribution at a time-scale comparable to the time-scale of general advancement of fluid front propagation [6], and hence the quasistatic approach used in 310 pore-network modeling may not be able to predict correctly the residual saturation after drainage and imbibition. Considering that capillary or viscous forces…”

Section: Haines Jump Eventsmentioning

confidence: 99%

“…Although first discovered more than 80 years ago [9], it was only recently that advances in synchrotron micro-CT enabled the direct observation of such events in porous media flow in real time [5]. For the latter, Ferrari and Lunati [10] demonstrated numerically that inertial effects induce interfacial oscillations that can influence the selection of the next pore to be invaded and hence the displacement pathways. Therefore, in these situations solving the full Navier-Stokes equations at the pore scale is necessary to resolve the correct fluid displacement flow paths [10,8].…”

Section: Introductionmentioning

confidence: 99%

“…For the latter, Ferrari and Lunati [10] demonstrated numerically that inertial effects induce interfacial oscillations that can influence the selection of the next pore to be invaded and hence the displacement pathways. Therefore, in these situations solving the full Navier-Stokes equations at the pore scale is necessary to resolve the correct fluid displacement flow paths [10,8]. 30 …”

Section: Introductionmentioning

confidence: 99%

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Capillary filling and Haines jump dynamics using free energy Lattice Boltzmann simulations

Zacharoudiou

Boek

2016

Advances in Water Resources

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We investigate numerically the dynamics of capillary filling and Haines jump events using free energy Lattice Boltzmann (LB) simulations. Both processes are potentially important multi-phase pore-scale flow processes for geological CO 2 sequestration and oil recovery. We first focus on capillary filling and demonstrate that the numerical method can capture the correct dynamics in the limit of long times for both high and low viscosity ratios, i.e. the method gives the correct scaling for the length of the penetrating fluid column as a function of time.Examining further the early times of capillary filling, three consecutive length vs. time regimes have been observed, in agreement with available experimental work in the literature. In addition, we carry out simulations of Haines jump events in idealised and realistic rock pore geometries. We observe that the Haines jump events are cooperative, non-local and associated with both drainage and imbibition dynamics. Our observations show that the pore filling dynamics is controlled by the Ohnesorge number, associated with the balance between viscous forces and inertial / surface tension forces. Using this concept, we are able to identify the type of pore filling dynamics that will occur.

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Section: Haines Jump Eventsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Capillary filling and Haines jump dynamics using free energy Lattice Boltzmann simulations

Zacharoudiou

Boek

2016

Advances in Water Resources

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“…During the Haines jump, viscous and even inertial effects are not negligible. 26 The time scale of the very rapid events corresponding to Haines jump is not resolved. It is assumed that these phenomena do not affect the successive equilibrium fluid configurations obtained by using purely quasi-static invasion rules, which is in accordance with experimental observations in model systems, e.g., Refs.…”

Section: Computation Of the Velocity Field In Pore Network Simulmentioning

confidence: 99%

Kinematics in a slowly drying porous medium: Reconciliation of pore network simulations and continuum modeling

et al. 2017

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We study the velocity field in the liquid phase during the drying of a porous medium in the capillarity-dominated regime with evaporation from the top surface. A simple mass balance in the continuum framework leads to a linear variation of the filtration velocity across the sample. By contrast, the instan-taneous slice-averaged velocity field determined from pore network simulations leads to step velocity profiles. The vertical velocity profile is almost constant near the evaporative top surface and zero close to the bottom of the sample. The relative extent of the two regions with constant velocity is dictated by the position of the most unstable meniscus. It is shown that the continuum and pore network results can be reconciled by averaging the velocity field obtained from the pore network simulations over time. This opens up interesting prospects regarding the transport of dissolved species during drying. Also, the study reveals the existence of an edge effect, which is not taken into account in the classical continuum models of drying.

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“…Popular approaches for the direct simulation of immiscible flow in the pore space inferred from three-dimensional images include the lattice Boltzmann method [5][6][7][8][9][10], the volume-of-fluid method [11][12][13][14][15], which solves the Navier-Stokes equations together with a relatively straightforward advection and reconstruction of fluid-fluid interfaces, and the level set method [16][17][18]. Porescale modeling based on diffuse-interface, or phase-field, modeling is emerging as a promising alternative to traditional approaches.…”

Section: Introductionmentioning

confidence: 99%

Pore-scale modeling of phase change in porous media

Cueto‐Felgueroso

Juanes

2018

Phys. Rev. Fluids

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The combination of high-resolution visualization techniques and pore-scale flow modeling is a powerful tool used to understand multiphase flow mechanisms in porous media and their impact on reservoir-scale processes. One of the main open challenges in pore-scale modeling is the direct simulation of flows involving multicomponent mixtures with complex phase behavior. Reservoir fluid mixtures are often described through cubic equations of state, which makes diffuse-interface, or phase-field, theories particularly appealing as a modeling framework. What is still unclear is whether equation-of-state-driven diffuse-interface models can adequately describe processes where surface tension and wetting phenomena play important roles. Here we present a diffuse-interface model of single-component two-phase flow (a van der Waals fluid) in a porous medium under different wetting conditions. We propose a simplified Darcy-Korteweg model that is appropriate to describe flow in a Hele-Shaw cell or a micromodel, with a gap-averaged velocity. We study the ability of the diffuse-interface model to capture capillary pressure and the dynamics of vaporization-condensation fronts and show that the model reproduces pressure fluctuations that emerge from abrupt interface displacements (Haines jumps) and from the breakup of wetting films.

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Inertial effects during irreversible meniscus reconfiguration in angular pores

Cited by 86 publications

References 25 publications

Capillary filling and Haines jump dynamics using free energy Lattice Boltzmann simulations

Capillary filling and Haines jump dynamics using free energy Lattice Boltzmann simulations

Kinematics in a slowly drying porous medium: Reconciliation of pore network simulations and continuum modeling

Pore-scale modeling of phase change in porous media

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