Development of a three-dimensional phase-field lattice Boltzmann method for the study of immiscible fluids at high density ratios

Mitchell, Travis; Leonardi, Christopher; Fakhari, Abbas

doi:10.1016/j.ijmultiphaseflow.2018.05.004

Cited by 53 publications

(27 citation statements)

References 65 publications

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“…In order to solve Equations 3 and 5, the lattice Boltzmann (LB) model developed by Fakhari et al [16] and Mitchell et al [17] was employed. In this work, a D3Q15 lattice with a single relaxation time was used for the phase field equation, while a D3Q27 lattice with a weighted-multiple relaxation time was used to resolve the hydrodynamics.…”

Section: Governing Dynamicsmentioning

confidence: 99%

Analysis of Taylor bubble dynamics via high-fidelity numerical modelling

Mitchell¹,

Leonardi²

2020

Australasian Fluid Mechanics Conference (AFMC)

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This study analyses the propagation of Taylor bubbles through vertical and inclined annular pipes. An established phase-field lattice Boltzmann method (PFLBM) was employed to resolve the multiphase flow dynamics. This analysis was motivated by the two-phase slug flow commonly observed in oil and gas wells and pipelines. The work makes contributions to two fundamental areas relating to Taylor bubbles in annular pipes. Firstly, the derivation of a drift velocity correlation for Taylor bubbles in vertical annular pipe is presented. The database covered fluids with Eötvös numbers between 10 and 700 and Morton numbers between 10 −6 and 10 0 . From here, the incorporation of inclination effects is discussed along with the respective correlation. Future work will assess the effects of pipe eccentricity as well as the interaction of consecutive Taylor bubbles. Furthermore, model development has also begun to study non-Newtonian and thermal effects.

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Section: Governing Dynamicsmentioning

confidence: 99%

Analysis of Taylor bubble dynamics via high-fidelity numerical modelling

Mitchell¹,

Leonardi²

2020

Australasian Fluid Mechanics Conference (AFMC)

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“…In this paper, we propose a mathematical model for antibubble simulation using phase-filed method. Phase-field method is a popular issue in multiphase flow field and large amounts of researches have been studied by some scholars [14][15][16][17][18]. The proposed model is based on the conservative Allen-Cahn equation [19], which can avoid mass spreading to the bulk phase.…”

Section: Introductionmentioning

confidence: 99%

Mathematical Modeling and Simulation of Antibubble Dynamics

Yang¹,

Jeong

et al. 2020

NMTMA

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In this study, we propose a mathematical model and perform numerical simulations for the antibubble dynamics. An antibubble is a droplet of liquid surrounded by a thin film of a lighter liquid, which is also in a heavier surrounding fluid. The model is based on a phase-field method using a conservative Allen-Cahn equation with a space-time dependent Lagrange multiplier and a modified Navier-Stokes equation. In this model, the inner fluid, middle fluid and outer fluid locate in specific diffusive layer regions according to specific phase filed (order parameter) values. If we represent the antibubble with conventional binary or ternary phase-field models, then it is difficult to have stable thin film. However, the proposed approach can prevent nonphysical breakup of fluid film during the simulation. Various numerical tests are performed to verify the efficiency of the proposed model.

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“…For this particular case, the LBM provides a mesoscopic level in which to build surface force interactions. This has been shown to provide favourable outcomes in terms of interface reconstruction, achieving results that require hybrid methods in certain finite volume frameworks [3]. Additionally, the LBM is intrinsically dynamic allowing transient simulations, a requirement to analyse flow regime transition in which the time-dependent scenarios of coalescence, break-up and instability growth are of key interest.…”

Section: Methodology and Scope Of Workmentioning

confidence: 99%

“…Knowledge of the liquid film development, equilibrium state and propagation into the wake region behind a Taylor bubble is fundamentally relevant to the behaviour of both single and consecutive bubbles. The film has impacts on all four regions typically used to describe a Taylor bubble; (1) the hemispherical-like nose, (2) the body section consisting of both the developing and developed film, (3) the tail region that may be convex, flat or concave depending on the system parameters, and (4) the wake [197,198].…”

Section: Modelling Of Liquid Film Thicknessmentioning

confidence: 99%

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Development of a multiphase lattice Boltzmann model for high-density and viscosity ratio flows in unconventional gas wells

Mitchell¹

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The confined flow of multiphase fluids is relevant in a range of applications in both science and engineering. For example, the two-phase flow of gas and liquid can commonly be observed in boilers used for power production, nuclear reactors (particularly in a loss-of-coolant accident) as well as in the transportation of hydrocarbons in the oil and gas industry. The optimal design and operation of these systems relies on an understanding of how the phases interact and the behaviour emergent from these interactions. This thesis studies multiphase flows in the field of natural gas extraction from unconventional reservoirs, with a focus on coal seam gas (CSG). In this context, the bottom hole pressure (BHP) in a natural gas well is an important parameter in the effective design of well completions and artificial lifting systems. Poor estimation of this can lead to liquid loading in the wellbore and reduced efficiency of the extraction process. The complex interaction of production gas and the associated water can increase the uncertainty in pressure gradients and ultimately impact the BHP estimation. A significant body of research has explored pressure gradients in the co-current multiphase flows found in conventional gas extraction, but these are not expected to hold for the counter-current regimes present in CSG production. Therefore, this research aimed to develop a fully resolved-numerical model for the simulation of simultaneous gas and liquid transport in scenarios applicable to CSG extraction. When two-phases flow in a confined environment such as a pipe or conduit, the topology of the interface is described by commonly observed flow regimes. When the pipe is in a vertical configuration, the typical regimes include bubble, slug, churn and annular flow. The models that describe the liquidgas interactions are typically dependent on the flow regime and can significantly impact the accuracy of pressure predictions. As a result, knowledge of the flow regime is required a priori to predicting the pressure gradient. Once this has been determined, the uncertainty associated with the phase interaction models can still deteriorate the practical use of predictive tools. The rise velocity of elongated bubbles in the slug flow regime has recently been identified in the literature as impacting greatly on the estimation of liquid hold up and pressure gradients in a piping system. Understanding the behaviour of these bubbles, termed Taylor bubbles, allows operators to reduce pressure oscillations in the wellbore and more accurately forecast production over the life of the well. This work seeks to capture the behaviour of these bubbles in flow configurations applicable to CSG extraction. This involves modelling annular pipe systems at a range of inclinations as well as with fluids propagating in co-and counter-current directions. This thesis presents the development, verification and validation of a phase-field lattice Boltzmann method (PFLBM) that allows for the simulation of dynamic liquid-gas flows with density ratios on th...

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Development of a three-dimensional phase-field lattice Boltzmann method for the study of immiscible fluids at high density ratios

Cited by 53 publications

References 65 publications

Analysis of Taylor bubble dynamics via high-fidelity numerical modelling

Analysis of Taylor bubble dynamics via high-fidelity numerical modelling

Mathematical Modeling and Simulation of Antibubble Dynamics

Development of a multiphase lattice Boltzmann model for high-density and viscosity ratio flows in unconventional gas wells

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