Lattice Boltzmann simulation of the trapping of a microdroplet in a well of surface energy

Liu, Haihu; Zhang, Yonghao

doi:10.1016/j.compfluid.2016.10.031

Cited by 11 publications

(5 citation statements)

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“…The LBM simulation is conducted in the lattice space, and we can map the physical parameters to the lattice space by using three reference scales: the length scale m, the time scale s and the mass scale kg. Specifically, a physical parameter with dimensions is divided by to obtain its corresponding LBM parameter (Liu & Zhang 2017; Li et al. 2021).…”

Section: Resultsmentioning

confidence: 99%

Prediction of spontaneous imbibition with gravity in porous media micromodels

Liu

et al. 2022

J. Fluid Mech.

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In this work, theoretical modelling, quasi-three-dimensional (quasi-3D) simulations and micromodel experiments are conducted to study spontaneous imbibition with gravity in porous media micromodels. By establishing the force balance governing the spontaneous imbibition process, we develop a theoretical model for predicting the imbibition length against time in a rectangular capillary. The theoretical model is then extended to the prediction of a compact displacement process in a micromodel by using an equivalent width, which is derived by analogising the micromodel to a rectangular capillary. By simulating spontaneous imbibition in a rectangular capillary with various aspect ratios ( $\varepsilon$ ), we show that the application condition of the quasi-3D method is $\varepsilon \leqslant 1/3$ . Next, we simulate spontaneous imbibition in micromodels with various geometries and flow conditions. Fingering and compact displacement are identified for varying viscosity ratios and gravitational accelerations. At low (high) viscosity ratio of wetting to non-wetting fluids, an upward (downward) gravity can promote the stability of the wetting front, favouring the transition from fingering to compact displacement. In addition, we find that the depth-oriented interface curvature dominates the capillary effect during the imbibition, and such a mechanism is considered by introducing an equivalent contact angle into the theoretical model. With the help of equivalent width and contact angle, the theoretical model is shown to provide satisfactory prediction of the compact displacement process. Finally, a micromodel experiment is presented to further verify the developed theoretical model and the quasi-3D simulation.

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Section: Resultsmentioning

confidence: 99%

Prediction of spontaneous imbibition with gravity in porous media micromodels

Liu

et al. 2022

J. Fluid Mech.

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“…The critical capillary number at which droplet anchoring happens was determined for different viscous media [39]. The anchoring of droplet to microwell was studied using Lattice Boltzmann Method [40]. This study demonstrates that the anchoring efficiency increases with increase in the diameter of the well.…”

Section: Introductionmentioning

confidence: 95%

Simulation studies on picolitre volume droplets generation and trapping in T-junction microchannels

2020

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In this paper, we present simulation studies on the formation of water microdroplets in mineral oil in a T-junction Microfluidics device. We have studied the droplet generation in two different regimes, viz., squeezing and squeezing to dripping transition regime. The effect of fluid flow rates, and surfactant concentration on the droplet generation has been investigated. It is seen that a rise in the concentration of surfactant by 4%, increases the frequency of droplet generation by 16% at the higher capillary number (C a = 0.02), whereas, there is only a marginal or no change in the case of squeezing regime (C a = 0.0028-0.008). We have also studied the trapping of the generated microdroplets in microwells. It is observed that the trapping of the droplet is highly influenced by the viscous drag force, droplet length, the surface energy of the droplet, droplet speed, depth of the Well for trapping and alignment of the two plates constituting the device. Our studies reveal that the droplets travelling faster than a critical trapping velocity do not get trapped in the Well. Addition of a surfactant to the mineral oil is seen to lead to a significant reduction in the critical velocity for the droplet trapping. Trapping of droplets travelling at velocities close to the critical velocity for trapping depends strongly on the alignment of the two plats of the Slip-Chip device.

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“…(2017) simulated the two‐phase flow dynamics in micro‐fluidics by the free energy LBM and compared with the experimental results. Liu and Zhang (2017) simulated the dynamic behavior of a confined droplet by the phase‐field LBM. Zheng et al.…”

Section: Introductionmentioning

confidence: 99%

“…Zacharoudiou et al (2017) simulated the two-phase flow dynamics in micro-fluidics by the free energy LBM and compared with the experimental results. Liu and Zhang (2017) simulated the dynamic behavior of a confined droplet by the phase-field LBM. Zheng et al (Zheng, Chen, et al, 2018; employed the single component multi-phase SC-LBM to investigate the interface dynamics and the SI behavior in complex 3D porous structure.…”

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confidence: 99%

Investigation of Spontaneous Imbibition Behavior in a 3D Pore Space Under Reservoir Condition by Lattice Boltzmann Method

Zheng

Lei

et al. 2021

JGR Solid Earth

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Unconventional oil reservoirs, which are previously classified as uneconomic resources by traditional developing methods, have become one of the important world energy supplying parts in recent years with the application of horizontal drilling, hydraulic fracturing and numerous enhanced oil recovery (EOR) methods (K. Singh et al., 2019;Xie et al., 2021). These oil reservoirs usually bury deep underground with conditions characterized as high-pressure and high-temperature. In a typical unconventional oil reservoir exploitation, a hydraulic fracturing job is proceeded after the completion of horizontal drilling to increase transport channels for oil recovery (Z. Chen et al., 2020). Previously, a flowback operation of the fracturing fluid is usually designed to decrease the potential reservoir damage. However, recent developments in these oil fields showed that partly flowback or even no flowback with the subsequent shut-in operation increased the oil recovery (

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Lattice Boltzmann simulation of the trapping of a microdroplet in a well of surface energy

Cited by 11 publications

References 50 publications

Prediction of spontaneous imbibition with gravity in porous media micromodels

Prediction of spontaneous imbibition with gravity in porous media micromodels

Simulation studies on picolitre volume droplets generation and trapping in T-junction microchannels

Investigation of Spontaneous Imbibition Behavior in a 3D Pore Space Under Reservoir Condition by Lattice Boltzmann Method

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