Generalized Lagrangian Model for Buoyant Jets in Current

Lee, Joseph Hun Wei; Cheung, V.

doi:10.1061/(asce)0733-9372(1990)116:6(1085)

Cited by 180 publications

(108 citation statements)

References 12 publications

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“…The other type of entrainment is forced entrainment, which results from crossflow intersecting the plume. Forced entrainment is predicted by the intercepted area of the plume and the relative velocity of the crossflow [3].…”

Section: Entrainment Modelsmentioning

confidence: 99%

“…The centerline dilution, plume trajectory, the locations of intrusions, and the pathways of rising particles are common metrics these models need to predict. Since the Deepwater Horizon accident, we have been developing a modeling system for subsea oil and gas plumes based on the discrete particle model [1,2] within an integral plume model framework [3][4][5] that synthesizes modeling approaches in single-and multiphase plumes across the literature [6][7][8]. In this paper, we present this general modeling system for multiphase plumes in stratification and crossflow, its validation to laboratory and field experiments, and we discuss its predictions for canonical test cases of accidental oil-well blowouts in deep water to illustrate the complex role that thermodynamics and mass transfer often plays in multiphase plumes.…”

Section: Introductionmentioning

confidence: 99%

“…2.3 and 2. 4) plume centerline by applying conservation laws with an entrainment or spreading hypothesis, and in single-phase flows, models have developed in both a Lagrangian [3,6,15,16] and Eulerian [4,17,18] framework. The Lagrangian approach assumes that the plume elements are advected with an average velocity along the plume trajectory, while Eulerian models consider control volumes defined along the plume centerline.…”

Section: Introductionmentioning

confidence: 99%

“…In the single-phase literature, both Eulerian [4] and Lagrangian [3] perspectives are used to predict buoyant jet behavior in crossflows. In the multiphase plume literature, especially for oil-well blowouts, most models are Lagrangian [6,7], and some are based on the spreading hypothesis [22].…”

Section: Introductionmentioning

confidence: 99%

“…Multiphase integral models have evolved to simulate oil plumes in deep water under the action of stratification and crossflow [6,7], to include multiple dispersed phases, including oil and gas [23,24], and to include precipitation reactions at hydrothermal vents [25]. Because of the complex, natural currents in the deep ocean, Zheng and Yapa [23] extended the entrainment hypothesis presented by Lee and Cheung [3] to multi-directional crossflows. Models by Johansen [26] and Chen and Yapa [27] also account for separation of the dispersed phase from the main plume.…”

Section: Introductionmentioning

confidence: 99%

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Integral models for bubble, droplet, and multiphase plume dynamics in stratification and crossflow

2018

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We present the development and validation of a numerical modeling suite for bubble and droplet dynamics of multiphase plumes in the environment. This modeling suite includes real-fluid equations of state, Lagrangian particle tracking, and two different integral plume models: an Eulerian model for a double-plume integral model in quiescent stratification and a Lagrangian integral model for multiphase plumes in stratified crossflows. Here, we report a particle tracking algorithm for dispersed-phase particles within the Lagrangian integral plume model and a comprehensive validation of the Lagrangian plume model for single-and multiphase buoyant jets. The model utilizes literature values for all entrainment and spreading coefficients and has one remaining calibration parameter j, which reduces the buoyant force of dispersed phase particles as they approach the edge of a Lagrangian plume element, eventually separating from the plume as it bends over in a crossflow. We report the calibrated form j ¼ ½ðb À rÞ=b 4 , where b is the plume halfwidth, and r is the distance of a particle from the plume centerline. We apply the validated modeling suite to simulate two test cases of a subsea oil well blowout in a stratificationdominated crossflow. These tests confirm that errors from overlapping plume elements in the Lagrangian integral model during intrusion formation for a weak crossflow are negligible for predicting intrusion depth and the fate of oil droplets in the plume. The Lagrangian integral model has the added advantages of being able to account for entrainment from an arbitrary crossflow, predict the intrusion of small gas bubbles and oil droplets when appropriate, and track the pathways of individual bubbles and droplets after they separate from the main plume or intrusion layer.

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Section: Entrainment Modelsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Integral models for bubble, droplet, and multiphase plume dynamics in stratification and crossflow

2018

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Evolution of bubble size distribution from gas blowout in shallow water

et al. 2016

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Gas is often emanated from the sea bed during a subsea oil and gas blowout. The size of a gas bubble changes due to gas dissolution in the ambient water and expansion as a result of a decrease in water pressure during the rise. It is important to understand the fate and transport of gas bubbles for the purpose of environmental and safety concerns. In this paper, we used the numerical model, VDROP‐J to simulate gas formation in jet/plume upon release, and dissolution and expansion while bubble rising during a relatively shallow subsea gas blowout. The model predictions were an excellent match to the experimental data. Then a gas dissolution and expansion module was included in the VDROP‐J model to predict the fate and transport of methane bubbles rising due to a blowout through a 0.10 m vertical orifice. The numerical results indicated that gas bubbles would increase the mixing energy in released jets, especially at small distances and large distances from the orifice. This means that models that predict the bubble size distribution (BSD) should account for this additional mixing energy. It was also found that only bubbles of certain sizes would reach the water surfaces; small bubbles dissolve fast in the water column, while the size of the large bubbles decreases. This resulted in a BSD that was bimodal near the orifice, and then became unimodal.

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Evaluation of entrainment formulations for liquid/gas plumes from underwater blowouts

Tessarolo

Innocentini

2016

JGR Oceans

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A numerical model using the Lagrangian approach developed to simulate the fate of liquid/gas blowouts in deepwater is presented, and three entrainment formulations are tested: HOULT, JETLAG, and CORJET parameterizations, given by Hoult et al. (1969), Lee and Cheung (1990), and Jirka (2004), respectively. The results are discussed and compared with field and laboratory observations. These formulations differ both in shear and forced contributions to the entrainment. As expected, the qualitative analysis of the dynamics of a liquid plume shows that the entrainment of ambient water decreases the acceleration due to buoyancy, and the plume and ambient momentums become increasingly similar over time. However, simulations of field and laboratory cases, where different plumes (gas, liquid, and gas/liquid) were discharged into environments with different ambient stratifications and crossflows, show that the JETLAG parameterization provides the best results, while HOULT (CORJET) overestimates (underestimates) the entrainment. Additional numerical experiments applying only the JETLAG formulation are performed, considering different plume composition, ambient condition, nozzle diameter, and initial discharge. For all the studied cases, the simulated results are in good agreement with the observations. Especially noteworthy were field experiments with gas released at depth of 50–60 m. The vertical plume velocity decreased during the ascending motion, but after a certain level, the velocity increased. This feature was simulated by the JETLAG parameterization, and a closer analysis reveals the increase of buoyancy due to gas expansion exceeding the decrease caused by the entrainment. These results encourage the use of this model in realistic and complex situations.

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Generalized Lagrangian Model for Buoyant Jets in Current

Cited by 180 publications

References 12 publications

Integral models for bubble, droplet, and multiphase plume dynamics in stratification and crossflow

Integral models for bubble, droplet, and multiphase plume dynamics in stratification and crossflow

Evolution of bubble size distribution from gas blowout in shallow water

Evaluation of entrainment formulations for liquid/gas plumes from underwater blowouts

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