An accelerated successive substitution method for single stage flash calculations

Gupta, Anup Kumar; Bishnoi, P. R.; Kalogerakis, Nicolas

doi:10.1002/cjce.5450660216

Cited by 11 publications

(5 citation statements)

References 15 publications

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“…An acceleration technique, based on the dominant eigenvalue method, was proposed to accelerate a successive substitution method, involving liquid and vapour phase compositions as the iteration variables. [ 7,63 ] A methodology for multi‐phase equilibrium flash calculations was extended to examine the phases present in a CH 4 –C 3 H 8 –H 2 O mixture and a condensate containing H 2 O and CH 3 OH. [ 64 ] An elegant algorithm was developed for the coupled stability and isothermal‐isobaric flash computations in reacting and non‐reacting multi‐phase systems, which was based on a simultaneous calculation of the phase fractions and the stability variables.…”

Section: Chemical Thermodynamics Of Hydrocarbon Systemsmentioning

confidence: 99%

A review of the contributions of P. Raj Bishnoi to chemical engineering

Mehrotra

Englezos

2022

Can J Chem Eng

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This paper provides a review of Professor Bishnoi's research contributions in the broad discipline of chemical engineering. Prof. Bishnoi has been a dedicated mentor, collaborator, innovator, and outstanding researcher. He has had a most productive and illustrious career, spanning more than four decades in both academia and industry. He is among the top 50 most-published authors of the The Canadian Journal of Chemical Engineering. He initiated a most successful and renowned research group at the University of Calgary, which was dedicated to the understanding of thermodynamics and kinetics related to the formation and decomposition of gas hydrates as well as the chemical engineering process design and simulation. As a tribute to Prof. Bishnoi's numerous scientific and engineering contributions and innovations, this review highlights his academic and research accomplishments, which included the training of several doctoral degree students, master's degree students, and postdoctoral scholars and research associates. In this paper, we have divided Prof. Bishnoi's research contributions into three broad areas, namely, chemical thermodynamics of hydrocarbon systems, process development and simulation, and thermodynamics and kinetics of the formation and decomposition of gas hydrates.

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Section: Chemical Thermodynamics Of Hydrocarbon Systemsmentioning

confidence: 99%

A review of the contributions of P. Raj Bishnoi to chemical engineering

Mehrotra

Englezos

2022

Can J Chem Eng

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“…Ordinarily, the iteration variables in GDEM for flash calculations are phase equilibrium ratios. Gupta et al (1988) studied the application of DEM and GDEM using the mole fraction of gas and liquid components as iteration variables. Zhao et al (2020) recently applied the GDEM acceleration to the reduced-SSM, which also showed the efficiency of GDEM.…”

Section: Introductionmentioning

confidence: 99%

An advanced general dominant eigenvalue method of accelerating successive substitution during ﬂash calculation for compositional reservoir model

Wang

Wei

Wang

et al. 2022

Adv. Geo-Energy Res.

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The efficiency and accuracy of phase equilibrium calculations are essential in compositional reservoir models. Usually, a significant part of the computational effort in compositional reservoir simulations is spent on phase equilibrium calculations. The nonlinear nature of phase equilibrium calculations requires an iterative solution procedure. Although the successive substitution method (SSM) is robust and simple to implement, it suffers from slow convergence, especially near the critical point of the mixture. The general dominant eigenvalue method (GDEM) has been widely used to accelerate SSM, but its stability and efficiency deteriorate as the temperature and pressure approach the critical point. This paper proposes a modified form of GDEM to improve its performance in the near-critical region. The modifications have two aspects. First, the liquid phase fraction in the mixture is added as a variable when performing GDEM acceleration, improving both stability and efficiency. The second modification is a post-calibration step imposed to replace the conventional criterion, which is applied before triggering GDEM. With the help of the postcalibration step, the stability of the modified GDEM is ensured, and more importantly, the calculation efficiency can be improved. Numerical tests of three hydrocarbon mixtures, including different numbers of components, show that the stability of the modified GDEM is almost the same as SSM and that its calculation efficiency is much higher than SSM and the conventional GDEM.

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“…Mehra, Heidemann, and Aziz devised three algorithms that improved the convergence rate. Gupta, Bishnoi, and Kalogerakis proposed an acceleration scheme based on the Crowe and Nishio general dominant eigenvalue method that used the liquid and vapor compositions as the iteration variables. Newton-type methods have been employed as an alternative procedure to solve the isothermal flash problem.…”

Section: Introductionmentioning

confidence: 99%

Modeling and Analysis of the Isothermal Flash Problem and Its Calculation with the Simulated Annealing Algorithm

Henderson

Oliveira

Souto

et al. 2001

Ind. Eng. Chem. Res.

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This paper describes a new formulation of the vapor−liquid equilibrium problem. The proposed model reveals a great mathematical similarity between the stability test problem and the isothermal flash problem, particularly in regions of interest in reservoir engineering near phase boundaries and in the vicinity of critical points. This similarity is mathematically studied and then explored to find a means of minimizing the Gibbs free energy in a more efficient way. The Peng−Robinson cubic equation of state was used to represent the phase behavior of multicomponent mixtures. The simulated annealing (SA) algorithm was used to carry out isothermal flash calculations and phase stability tests. The SA algorithm is essentially an iterative random search procedure whose moves are adapted by some suitable mechanism. It is robust and easy to implement. The algorithm was tested for several hydrocarbon mixtures. The few experimental data available in the literature were compared with theoretical predictions. The proposed methodology produced high-quality solutions.

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An accelerated successive substitution method for single stage flash calculations

Cited by 11 publications

References 15 publications

A review of the contributions of P. Raj Bishnoi to chemical engineering

A review of the contributions of P. Raj Bishnoi to chemical engineering

An advanced general dominant eigenvalue method of accelerating successive substitution during ﬂash calculation for compositional reservoir model

Modeling and Analysis of the Isothermal Flash Problem and Its Calculation with the Simulated Annealing Algorithm

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