ANALYSIS OF THE KINETIC PARAMETERS CALCULATION PARALLELING EFFICIENCY IN THE COMPLEX CHEMICAL REACTION

  • K.F. Koledina Institute of Petrochemistry and Catalysis, UFIC RAS
  • М.К. Vovdenko Institute of Petrochemistry and Catalysis, UFIC RAS
  • I.M. Gubaydullin Institute of Petrochemistry and Catalysis, UFIC RAS
  • S.N. Koledin Institute of Petrochemistry and Catalysis, UFIC RAS
Keywords: Parallelization in inverse kinetic problem, isopropylbenzene oxidation reaction, paralleling models, efficiency, kinetic model, island model

Abstract

The aim of this study is to calculate the kinetic parameters of the reaction isopropylbenzene ox-idation on several schemes chemical transformations with the use of the parallelizing computational problem analysis algorithms and the efficiency analysis. The main stages of parallelization for solv-ing the inverse kinetic problem are the following: the first group includes all mechanisms proposed for chemical reaction; for each mechanism, all reaction experiments are considered; for each exper-iment, the parametric plane is separated to search for kinetic parameters. The solution of an inverse kinetic problem relates to optimization problems for which there are models for paralleling a compu-tational process: the island model, the cell model, the global Master-Worker model. The object of the study is the reaction of isopropylbenzene oxidation with atmospheric oxygen. The reaction is one of the stages in the technological process of producing phenol and acetone by the cumene method. This method is most common industrial method in the world for the synthesis of these substances. The reaction refers to a radical chain process. The basic elementary reactions for the stages of chain initiation, chain development, chain attenuation are considered. To solve direct and inverse kinetic problems, in order to determine the kinetic parameters for elementary stages, mathematical methods such as the 4th-order Runge, the variable order method in the MATLAB software environment are used. Kinetic models have been developed for the three reaction schemes of isopropylbenzene oxida-tion. A comparison is made. When developing kinetic models, parallelization models are applied. The analysis of parallelization efficiency is conducted. The efficiency of parallelization in solution of an inverse problem of reaction under consideration by the genetic algorithm with the island model of parallelization of the computational process on a personal 4-core Intel Core I5 computer is 65 %.

References

1. Slin'ko M.G. Istoriya razvitiya matematicheskogo modelirovaniya kataliticheskikh protsessov i reaktorov [History of development of mathematical modeling of catalytic processes and reac-tors], Teoreticheskie osnovy khimicheskoy tekhnologii [Theoretical bases of chemical technol-ogy], 2007, Vol. 41, No. 1, pp. 16-34.
2. Gubaydullin I.M., Lind Yu.B., Koledina K.F. Metodologiya rasparallelivaniya pri reshenii mnogoparametricheskikh obratnykh zadach khimicheskoy kinetiki [Methodology of parallel-ization in solving multiparametric inverse problems of chemical kinetics], Vychislitel'nye metody i programmirovanie [Computational methods and programming], 2012, Vol. 13, No. 1, pp. 28-36.
3. Koledin S.N., Karpenko A.P., Koledina K.F., Gubaydullin I.M. Informatsionnaya sistema dlya otsenki vzaimosvyazi tselevykh funktsiy i issledovaniya optimal'nykh usloviy provedeniya slozhnoy kataliticheskoy reaktsii metodami mnogotselevoy optimizatsii [Information system for evaluation of interrelation of target functions and investigation of optimal conditions of complex catalytic reaction by methods of multi-purpose optimization], Elektrotekhnicheskie i informatsionnye kompleksy i sistemy [Electrical and information systems and systems], 2017, Vol. 13, No. 4, pp. 71-81.
4. Novichkova A.V., Bobreneva Yu.O., Gubaydullin I.M., Koledina K.F. Informatsionnyy kompleks postroeniya kineticheskoy modeli reaktsii gidroalyuminirovaniya olefenov triizobutilalyuminiem [Information complex of construction of the kinetic model of the reac-tion hydroalumination reactions of olefinov triisobutylaluminum], Elektrotekhnicheskie i informatsionnye kompleksy i sistemy [Electrotechnical and information complexes and sys-tems], 2014. Vol. 10, No. 4, pp. 58-63.
5. Karpenko A.P. Osnovnye sushchnosti populyatsionnykh algoritmov dlya zadachi global'noy optimizatsii [The main essence of population algorithms for the problem of global optimiza-tion], Informatsionnye i matematicheskie tekhnologii v nauke i upravlenii [Information and mathematical technologies in science and management], 2016, No. 2, pp. 8-17.
6. Sobol' I.M., Statnikov R.B. Vybor optimal'nykh parametrov v zadachakh so mnogimi kriteriyami: ucheb. posobie dlya vuzov [Selection of optimal parameters in problems with many criteria: a textbook for universities]. 2nd ed. Moscow: Drofa, 2006, 175 p.
7. Deb K., Mohan M., Mishra S. Towards a Quick Computation of Well-Spread Pareto-Optimal Solutions, Evolutionary Multi-Criterion Optimization. Springer, 2003, pp. 222-236.
8. Kazuo Hattori, Yuxi Tanaka, Hiroyuki Suzuki, Tsuneo Ikawa, Hiroshi Kubota. Kinetics of liquid phase oxidation of cumene in bubble column, Journal of Chemical Engineering of Ja-pan, 1970, pp. 72-78.
9. Bhattacharya A. Kinetic modeling of liquid phase autoxidation of cumene, Chemical Engi-neering Journal, 2008, pp. 308-319.
10. Popov S.V., Serebryakov B.P., Kirichenko G.S., Golyushyuva G.P. Kinetic model of high-temperature isopropylbenzene oxidation, Petrorefinery and Petrochemistry, 1983, No. 5, pp. 31-33.
11. Koledina K.F., Koledin S.N., Schadneva N.A., Mayakova Y.Yu., Gubaydullin I.M. Kinetic model of the catalytic reaction of dimethylcarbonate with alcohols in the presence Co2(CO)8 and W(CO)6, Reaction Kinetics, Mechanisms and Catalysis. DOI: 10.1007/s11144-017-1181-3.
12. Koledina K.F., Koledin S.N., Gubaydullin I.M. Mnogokriterial'naya optimizatsiya usloviy provedeniya kataliticheskoy reaktsii degidrirovaniya etanola v etilatsetat [Multicriteria optimi-zation of conditions for catalytic reaction of ethanol dehydration in ethyl acetate], Vestnik Bashkirskogo universiteta [Bulletin of Bashkir University], 2018, Vol. 23, No. 2, pp. 385-389.
13. Glamazdin E.S., Novikov D.A., TSvetkov A.V. Upravlenie korporativnymi programmami: informatsionnye sistemy i matematicheskie modeli [Corporate program management: infor-mation systems and mathematical models]. Moscow: IPU RAN, 2003, 159 p.
14. Koledina K.F., Gubaydullin I.M., Safin R.R., Akhmetov I.V. Informatsionnaya sistema postroeniya kineticheskoy modeli kataliticheskoy reaktsii, planirovanie ekonomicheski optimal'nogo khimicheskogo eksperimenta [Information system for constructing a kinetic model of a catalytic reaction, planning an economically optimal chemical experiment], Sistemy upravleniya i informatsionnye tekhnologii [Management systems and information technolo-gies], 2015, No. 3 (61), pp. 79-84.
15. Koledina K.F., Koledin S.N., Shchadneva N.A., Gubaydullin I.M. Kinetika i mekhanizm kataliticheskoy reaktsii spirtov s dimetilkarbonatom [Kinetics and mechanism of catalytic re-action of alcohols with dimethyl carbonate], Zhurnal fizicheskoy khimii [Journal of physical chemistry], 2017, Vol. 91, No. 3, pp. 422-428.
16. Gabitov S.A., Vovdenko M.K., Koledina K.F., Gubaydullin I.M. Parallel'nye vychisleniya pri modelirovanii reaktora okisleniya kumola [Parallel calculations in the simulation of the kumol oxidation reactor], Parallel'nye vychislitel'nye tekhnologii – XII mezhdunarodnaya konferentsiya, PaVT’2018, g. Rostov-na-Donu, 2–6 aprelya 2018 g. Korotkie stat'i i opisaniya plakatov [Parallel computational technologies XII international conference, PCT ' ’2018, Ros-tov-on-don, 2-6 April 2018 Short articles and descriptions of posters]. – Chelyabinsk: Izdatel'skiy tsentr YuUrGU, 2018, pp. 402.
17. Vovdenko M.K., Gubaidulin I.M., Koledina K.F., Koledin S.N. Isopropylbenzene oxidation reaction computer simulation, CEUR Workshop Proceedings, 2017, Vol. 1966, pp. 20-23.
18. Vovdenko M.K., Gabitov S.A., Koledina K.F., Ahmerov E.A., Sannikov A.D. Mathematical modeling of isopropylbenzene oxidation reaction and oxidation reactor, IOP Conf. Series: Journal of Physics: Conf. Series 1096 (2019) 012189.
19. Koledina K.F., Koledin S.N., Gubaydullin I.M. Optimization of chemical reactions by economic criteria based on kinetics of the process, CEUR Workshop Proceedings, 2017, Vol. 1966, pp. 5-9.
20. Koledina, K.F., Koledin S.N., Gubaydullin I.M., Karpenko A.P. Mnogotselevaya parallel'naya zadacha nelineynoy optimizatsii usloviy provedeniya kataliticheskikh protsessov [Multi-purpose parallel problem of nonlinear optimization of conditions of catalytic processes], Parallel'nye vychislitel'nye tekhnologii – XI mezhdunarodnaya konferentsiya, PaVT’2017, g. Kazan', 3–7 aprelya 2017 g. Korotkie stat'i i opisaniya plakatov [Parallel computing technolo-gies-XI international conference, Pavt ' 2017, Kazan, 3-7 April 2017. Short articles and de-scriptions of posters]. Chelyabinsk: Izdatel'skiy tsentr YuUrGU, 2017, pp. 377-385.
Published
2019-04-04
Section
SECTION III. MATHEMATICAL AND SOFTWARE