Non-isothermal population balance model of the formation and dissociation of gas hydrates

Sampaio, Tatiana P.; Tavares, Frederico W.; Lage, Paulo L.C.

doi:10.1016/j.ces.2016.12.012

Cited by 10 publications

(28 citation statements)

References 44 publications

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“… Comprehension of the limiting step of outer growth (permeation vs. crystal integration) is key to understand if particle is wet or dry, with consequences on agglomeration and plugging. 22,80,81,84 and in the micro-scale of interaction between particle and mixture bulk 14,21 . In this appendix, we show that the micro-scale heat transfer is not important in flowing systems, that is, the shear is always enough to equilibrate the temperature of the growing surface to the bulk one (in coherence with the observed by Sampaio et al 21 that the particle-to-bulk temperature gradient is never higher than 0.2 K).…”

Section: Discussionmentioning

confidence: 99%

“…(i) the number of particles in the system p n , herein considered constant for the sake of simplification, but which vary due to agglomeration or breakage of particles 12,21,[23][24][25] ; and (ii) the gas consumption due to hydrate formation of each particle , gi hyd dn dt . The modeling of the latter is the focus of the next sections.…”

Section: Gas Concentration In the Bulkmentioning

confidence: 99%

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A Multiscale Approach for Gas Hydrates Considering Structure, Agglomeration, and Transportability under Multiphase Flow Conditions: II. Growth Kinetic Model

Bassani

Sum

Herri

et al. 2020

Ind. Eng. Chem. Res.

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In the second part of this series, we introduce the mathematical model for the growth kinetics of gas hydrates in oil continuous flow. Mathematical description of the capillary filling-up process is given (porosity evolution), coupled with growth phenomena already described in the literature (gas absorption by the oil bulk, mass transfer particle/bulk, outer growth due to permeation). The range of closure parameters reported in the literature for CH 4 hydrates is used to understand the limiting steps of crystallization, the evolution of porosity being the controlling factor in the asymptotic trend of the gas consumed over time. Furthermore, gas absorption by the bulk and mass transfer particle/bulk is shown to be negligible for oil-continuous flow when considering a gas that is much more soluble in oil than in water. The model is simplified for engineering purposes, giving rise to an explicit semi-empirical equation for the gas consumption rate because of hydrate formation based on two independent parameters that are experimentally regressed. A criterion for the existence of wet or dry particles (the water layer covering the particles in oilcontinuous flow) is proposed in means of the competition of crystal integration in the outer surface versus water permeation through the porous hydrate.

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Section: Discussionmentioning

confidence: 99%

Section: Gas Concentration In the Bulkmentioning

confidence: 99%

A Multiscale Approach for Gas Hydrates Considering Structure, Agglomeration, and Transportability under Multiphase Flow Conditions: II. Growth Kinetic Model

Bassani

Sum

Herri

et al. 2020

Ind. Eng. Chem. Res.

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show abstract

“…of gas hydrates, population balance models that take agglomeration into account considered turbulent regime for particles collision 14,77,78 . Particle regime of relative movement is dependent on the continuous flow regime and on the particle size.…”

Section: The Role Of Surfactants In Avoiding Agglomerationmentioning

confidence: 99%

A Multiscale Approach for Gas Hydrates Considering Structure, Agglomeration, and Transportability under Multiphase Flow Conditions: I. Phenomenological Model

Bassani

Melchuna

Cameirão

et al. 2019

Ind. Eng. Chem. Res.

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A new topological model on how gas hydrates form, grow, and agglomerate for oil and water continuous flow, with and without surfactant additives, is presented. A multiscale approach is used to explain how the porous structure of gas hydrates and the affinity between the phases affect the particle morphology and their agglomeration. We propose that gas consumption due to hydrate growth happens mostly in the water trapped inside the capillaries of the hydrate structure near the outer surface of the particles. This approach is herein referred to as the “sponge approach” and is treated as a surface problem, instead of the volume problem often treated in literature (the “shell approach”). Affinity between phases (which in a macro point of view is interpreted as a wetted angle that gives rise to capillarity forces and that can be changed by the use of surfactant additives) describes the preferential entrapment of oil or water inside the hydrate sponge structure. Yet by splitting agglomeration into smaller processes and depending on the morphology of the particles and on the evolution of the porous structure of the hydrates, (i) capillarity bridges may form, causing particles to be sticky, and (ii) water may be available at the outer surface of the particles and may promote consolidation of particle–particle (agglomeration) or particle-wall (deposition). The settling of slurries is treated as a separated solid–liquid flow instability problem once mixture deceleration (due to phase consumption during crystallization) and particle size (due to growth and agglomeration) are known. We also propose a new explanation on how surfactants act as anti-agglomerants in oil continuous flow, differently from the common DLVO theory used in literature, which can only explain anti-agglomeration of particles much smaller than the ones formed over droplets of a very fine dispersion flow.

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“…Although 100% conversion of water does not influence the particle size noticeably (which grows at a ratio of 1.09 wh   for methane hydrates), agglomeration can drastically change the number and average size of particles. Agglomeration is neglected for the sake of simplification (cold flow assumption; Straume et al, 2019), but coupling with proper population balance models (Balakin et al, 2010;Herri et al, 1999;Sampaio et al, 2017) will be done in a near future.…”

Section: Mathematical Modelmentioning

confidence: 99%

Modeling Heat and Mass Transfer Limitation Processes of Gas Hydrate Formation Under Slug Flow

Bassani¹,

Barbuto²,

Morales³

et al. 2019

Proceedings of the 25th International Congress of Mechanical Engineering

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This article presents the coupling of a crystallization model of gas hydrate to a mechanistic gas-liquid slug flow model in order to understand: (i) heat transfer limitation processes due to reheating of mixture and consequent decrease of crystallization driving force; and (ii) mass transfer limitation due to porosity evolution of the crystalline structure. Application is in flow assurance of gas and oil production operations.

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Non-isothermal population balance model of the formation and dissociation of gas hydrates

Cited by 10 publications

References 44 publications

A Multiscale Approach for Gas Hydrates Considering Structure, Agglomeration, and Transportability under Multiphase Flow Conditions: II. Growth Kinetic Model

A Multiscale Approach for Gas Hydrates Considering Structure, Agglomeration, and Transportability under Multiphase Flow Conditions: II. Growth Kinetic Model

A Multiscale Approach for Gas Hydrates Considering Structure, Agglomeration, and Transportability under Multiphase Flow Conditions: I. Phenomenological Model

Modeling Heat and Mass Transfer Limitation Processes of Gas Hydrate Formation Under Slug Flow

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