Population Balance Model for Batch Gravity Separation of Crude Oil and Water Emulsions. Part II: Comparison to Experimental Crude Oil Separation Data

Grimes, Brian A.; Dorao, Carlos Alberto; Opedal, Nils; Kralova, Iva; Sørland, Geir Humborstad; Sjöblom, Johan

doi:10.1080/01932691.2011.574950

Cited by 25 publications

(8 citation statements)

References 18 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

Section: The Droplet Balance Calculations Are Now Based On the Follow...mentioning

confidence: 99%

“…Industrial & Engineering Chemistry Research Numerous simulations have shown that the steady state number density distribution of a dispersion in a CSTR is independent of the initial condition, and thus, this approach should apply if the dynamics of coalescence and breakage are sufficiently fast compared to the CSTR residence time. The equations are solved by orthogonal collocation of the radial (droplet size) domain and time integration with Gear's BDF method (see Grimes, 25 Grimes et al 26 ).…”

Section: The Droplet Balance Calculations Are Now Based On the Follow...mentioning

confidence: 99%

“…Assuming that the volume V i of each CSTR layer is effectively constant during the droplet residence time and that the turbulence in each CSTR layer is isotropic, in the inertial subrange of the energy spectrum, and uniform throughout the volume V i , a dynamic population balance for this system can be written as follows (Jakobsen, Grimes, Grimes et al): where , t is the time variable [s], r denotes the droplet radius coordinate [m] and f n , i represents the droplet number density distribution for layer i [m –4 ]. The droplet number density distribution is defined such that integrating the product of f n and the corresponding drop volume will yield the inlet dispersed phase volume fraction for each layer …”

Section: Mathematical Modelmentioning

confidence: 99%

“…The function r c , i ( r , r ′) in eq represents the swept volume rate of coalescence [m 3 s –1 ] (Jakobsen, Grimes, Grimes et al) between two droplets of size r and r ′ in CSTR layer i . Typically (see e.g., Jakobsen, Grimes, Grimes et al, Prince and Blanch, Chesters, Coulaloglou and Tavlarides, Vankova et al), r ci is determined by the product of a droplet collision rate function, ω i , and a probability of coalescence for each collision, Φ i . The collision rate function, ω i , considers collisions to occur mainly through the fluctuating turbulent velocity of the liquid phase as given in Prince and Blanch .…”

Section: Mathematical Modelmentioning

confidence: 99%

See 3 more Smart Citations

A Control- and Estimation-Oriented Gravity Separator Model for Oil and Gas Applications Based upon First-Principles

Backi

Grimes

Skogestad

2018

Ind. Eng. Chem. Res.

View full text Add to dashboard Cite

In this work, we introduce a simple model for a gravity separator based on first principles.It can be used for controller design to control the levels of oil, water and the gas pressure as well as observer design to estimate unmeasurable parameters and disturbances. Evaluation of separation efficiencies for the respective water-and oil-continuous phases are part of the model in addition. The model incorporates three dynamic state equations describing the levels of the overall liquid (water plus oil) and water as well as the gas pressure subject to the in-and outflow dynamics. Furthermore, algebraic equations calculating simplified droplet distributions for each continuous phase are introduced in order to determine the exchange of water and oil between the two continuous phases. The controllers are of PI-type and control the outflows of the separator. Additionally, we introduce a virtual monitoring approach for the inflows of gas and liquid as well as the effective split ratio of oil and water entering the continuous water phase. Measurements for these variables are either expensive, unreliable or even impossible to take (as for the split ratio). We demonstrate the results in simulations.

show abstract

Section: The Droplet Balance Calculations Are Now Based On the Follow...mentioning

confidence: 99%

Section: The Droplet Balance Calculations Are Now Based On the Follow...mentioning

confidence: 99%

Section: Mathematical Modelmentioning

confidence: 99%

Section: Mathematical Modelmentioning

confidence: 99%

See 2 more Smart Citations

A Control- and Estimation-Oriented Gravity Separator Model for Oil and Gas Applications Based upon First-Principles

Backi

Grimes

Skogestad

2018

Ind. Eng. Chem. Res.

View full text Add to dashboard Cite

show abstract

“…One can mention another approach proposed by Laleh et al (2012), in which the oilwater emulsion was modelled as a mixture by means of the volume of fluid method and the water separation efficiency was determined by tracking a droplet distribution with an uncoupled Lagrange dilute-phase particle tracking model. Development of appropriate models taking into account the droplet size distribution together with coalescence and breakup phenomena was presented by Song et al (2010), Grimesa (2012) and Grimesa et al (2012). The effects of selected parameters on the separator effectiveness and internal flow was investigated by Abdulkadir and Perez (2010), Vilagines and Akhras (2010), Liang et al (2013) and Kharoua et al (2013).…”

Section: Introductionmentioning

confidence: 99%

Substitute model and CFD Investigations of a Coalescer in a Three-Phase Crude Oil Gravity Separator

Krzemianowski¹,

Lackowski²,

Ochrymiuk³

et al. 2020

JAFM

View full text Add to dashboard Cite

The flow structure in a three-phase gas-oil-water separator and its performance was the main objective of the presented investigations, for which the Euler-Euler multiphase model to simulate the flow was used. The main assumption of the model is that secondary phases, consisting of oil and water droplets, are mono-dispersed with no coalescence and breakup. The considered separator is a part of the installation operated by a drilling company. In general, the investigation of separation process is very computationally expensive and timeconsuming, therefore it is desirable to search for some simplifications in order to be able to carry out engineering analysis of the processes taking place in a separator. Hence, the three-dimensional coalescer was investigated as a porous element in order to find pressure losses dependence on flow velocity, which was required to simulate the existence of coalescers and baffles. As the next step, a transient Eulerian multiphase simulations were carried out for gas-oil-water mixture in a real horizontal gravity separator for two-and three-dimensional case. Required data for calculations was derived from real exploration well. In the two-dimensional case, the worked out dependence of the pressure drop with respect to velocity was used to model the flow through the porous coalescers. In three-dimensional case, the coalescers and baffles were modelled without any simplifications. It was found that general trends can be predicted despite the simplification of the geometrical model in which coalescer and baffle geometries have been replaced by a porous medium. The calculations confirmed that the complexity of geometry requiring time-consuming calculations can be usually replaced by introducing simplifications allowing for engineering analysis of separator operation that is acceptable by the industry, because the basic parameters regarding the separation process can be determined.

show abstract

Gravity induced coalescence in emulsions with high volume fractions of dispersed phase in the presence of surfactants

Mazumdar

Roy

2017

AIChE Journal

View full text Add to dashboard Cite

We report studies on the effect of volume fraction and surfactant concentration on the kinetics of destabilization of emulsions under the influence of gravity. Model oil‐in‐water emulsions, designed to mimic crude oil–water emulsions, were prepared with varying volume fractions of dispersed oil but nearly identical normalized initial drop size distributions. The gravity separation process was observed by periodically withdrawing samples, and examining the droplet size distribution under the microscope. Experiments were performed for three volume fractions of dispersed phase and two surfactant concentrations (0.4 and 1.6% by weight). At higher oil fractions (20%) and a lower surfactant concentration (0.4%), it was observed that although the rate of coalescence increased, the actual oil separation was delayed. At higher surfactant concentrations (1.6%), the dominant factor in suppressing destabilization is the rate of drop to interface coalescence. © 2017 American Institute of Chemical Engineers AIChE J, 63: 4379–4389, 2017

show abstract

Population Balance Model for Batch Gravity Separation of Crude Oil and Water Emulsions. Part II: Comparison to Experimental Crude Oil Separation Data

Cited by 25 publications

References 18 publications

A Control- and Estimation-Oriented Gravity Separator Model for Oil and Gas Applications Based upon First-Principles

A Control- and Estimation-Oriented Gravity Separator Model for Oil and Gas Applications Based upon First-Principles

Substitute model and CFD Investigations of a Coalescer in a Three-Phase Crude Oil Gravity Separator

Gravity induced coalescence in emulsions with high volume fractions of dispersed phase in the presence of surfactants

Contact Info

Product

Resources

About