Application of statistical methods of time series analysis for a very fast and accurate determination of equilibrium thermodynamic conditions of gas-liquid water-hydrate systems in isochoric operation
Subject Areas :
1 - استادیار مهندسی شیمی، گروه پژوهش مهندسی واکنشهای کاتالیستی، پژوهشکده کاتالیست و نانوفناوری پژوهشگاه صنعت نفت، تهران، ایران
Keywords: Isochoric operation, Cooling trace, Change point detection, Cumulative sum technique, Time series analysis,
Abstract :
In this research work, a very fast and accurate new method for determining equilibrium thermodynamic conditions in gas-liquid water-hydrate systems is presented. In this method, only temperature and pressure data in the cooling trace are needed to determine the equilibrium points of hydrate formation. The required time to obtain equilibrium thermodynamic conditions for gas hydrate formation are greatly reduced and more accurate results are obtained, using statistical concepts of time series analysis as well as cumulative sum technique in change point detection. With this method, four experiments were performed to determine the equilibrium thermodynamic conditions for ethane gas hydrate. The average percentage of absolute deviations obtained with Deaton-Frost experimental data, Kamath's correction relationship, and AQUAlibrium and CSMHYD softwares were 5.67, 2.49, 9.54, and 1.89, respectively. In addition, the experimental data obtained by Curtin University researchers in Australia about the effect of 1000 ppm of pTSA surfactant in methane hydrate were investigated with this method. The absolute deviation percentage compared to the experimental data and their statistical thermodynamic modeling estimate were 0.23 and 1.89, respectively.
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