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Accessible Unlicensed Requires Authentication Published by De Gruyter April 3, 2019

Mathematical modeling of multicomponent catalytic processes of petroleum refining and petrochemistry

Emiliya D. Ivanchina, Elena N. Ivashkina, Irena O. Dolganova and Nataliya S. Belinskaya


This review summarizes Russian developments on the most important industrial processes of hydrocarbon feedstock refining according to the data of the last 15–20 years on the kinetics of deactivation of heterogeneous and liquid-phase catalysts under non-stationary conditions. The methodological aspects of the creation and application of kinetic models for the deactivation of heterogeneous and liquid-phase catalysts under non-stationary conditions are considered. It is shown that high efficiency of catalytic technologies is ensured by regulation of hydrodynamic and thermal conditions of industrial processes of gasoline reforming, alkane dehydrogenation, alkylation of benzene with higher alkenes and catalytic dewaxing using kinetic models, which take into account catalyst deactivation.



coefficient of poisoning


activity of a fresh catalyst, rel. units


activity of a catalyst, rel. units


concentration of coke (%wt.)


the catalyst circulation ratio

ρmix, ρmix

density of the reaction mixture (kg m−3)

ρcat, ρcat

density of the catalyst (kg m−3)


the diffusion Peclet number


the thermal Peclet number


the total volume of the recycled raw materials (m3)


feed flow (m3 h−1)


linear flow rate (m h−1)


length of the catalyst bed in the reactor (m)


rate of the catalyst movement (m h−1)


reaction rate (mol m−3 h−1)


heat capacity of the catalyst (J kg−3 K−1)


heat of the jth reaction (J mol−1)


temperature (K)


initial temperature (K)


contact time (h)


time (h)


radius of the catalyst bed (m)


amount of surface chlorine (mol m−3)


mole ratio of water and hydrogen chloride in the reaction volume (%mol.)


equilibrium constant of the chemical reaction (Pa)


active surface of a deactivated catalyst as a result of aging (m2)


active surface of a fresh catalyst (m2)


active surface of a coked catalyst (m2)


active surface of a fresh catalyst (m2)


concentration of HAR (%wt.)


heat capacity of reaction mixture (J m−3 K−1)


reaction volume (m3)


universal gas constant (J m−3 K−1)


reaction rate constant of the jth reaction (h−1 or m−3 mole h−1)


mole flow of the jth component (mole)


total mole flow of components (mole)


preexponential factor (h−1 or m−3 mole h−1)


activation energy (J mole−1)


total pressure (MPa)


current values of weight ratios of linear hydrocarbons >195°C (%wt.)


current values of weight ratios of branched alkanes >195°C (%wt.)


current values of weight ratios of naphthenic hydrocarbons >195°C (%wt.)


weight ratio of gaseous hydrocarbons and C5 fraction 195°C (%wt.)


initial weight ratio of the components in the feedstock (%wt.)


change in the reaction Gibbs energy value of the reaction (J mole−1)


change in the reaction entropy (J mole−1 K−1)


initial amount of H2O at Ti+1 (mole)


equilibrium amount of CO at Ti+1 (mole)


equilibrium amount of CO at Ti (mole)


equilibrium amount of H2O at Ti+1 (mole)


equilibrium amount of H2O at Ti (mole)


equilibrium amount of H2 at Ti+1 (mole)


equilibrium amount of H2 at Ti (mole)


equilibrium constant at Ti+1 (Pa)


concentrations of styrene (%wt.)


concentrations of ethylbenzene (%wt.)


concentrations of hydrogen (%wt.)


concentrations of benzene (%wt.)


concentrations of ethylene (%wt.)


concentrations of toluene (%wt.)


concentrations of methane (%wt.)


concentrations of carbon (%wt.)


concentrations of carbon monoxide (%wt.)


concentrations of carbon dioxide (%wt.)


The work was financed by subsidy for state support to the leading universities of the Russian Federation in order to increase their competitiveness among the world’s leading research and educational centers. The research was also supported by Russian State Project “Science” 10.13268.2018/8.9.


Ancheyta J, Sotelo R. An easy methodology for estimating kinetic constants in complex kinetic models. Stud Surf Sci Catal 2001; 133: 611–614.Search in Google Scholar

Aris R. Optimal design of chemical reactors. Moscow, Russia: Inostrannaya Literature, 1963 (in Russian).Search in Google Scholar

Aris R. The mathematical theory of diffusion and reaction in permeable catalysts. Oxford, Great Britain: Clarendon Press, 1975.Search in Google Scholar

Aris R. Analysis of processes in chemical reactors. Leningrad, Russia: Khimiya, 1976 (in Russian).Search in Google Scholar

Balaev AV, Del Toro Fonseca DA. Construction of the kinetic model of hydrocracking of heavy oil residues on the basis of group components. J Mid Volga Math Soc 2012; 1: 43–47 (in Russian).Search in Google Scholar

Bannov PG. Processes of oil refining. Moscow: TsNIIITneftekhim, 2001.Search in Google Scholar

Barghi B, Fattahi M, Khorasheh F. The modeling of kinetics and catalyst deactivation in propane dehydrogenation over Pt-Sn/γ-Al2O3 in presence of water as an oxygenated additive. Pet Sci Technol 2014; 32: 1139–1149.Search in Google Scholar

Baudrez E, Heynderickx GJ, Marin GB. Steadystate simulation of fluid catalytic cracking riser reactors using a decoupled solution method with feedback of the cracking reactions on the flow. Chem Eng Res Design 2010; 88: 290–303.Search in Google Scholar

Belinskaya NS, Frantsina EV, Ivanchina ED. Mathematical modelling of “reactor-stabilizer column” system in catalytic dewaxing of straight run and heavy gasoils. Chem Eng J 2017; 329: 283–294.Search in Google Scholar

Belyi AS, Udras IE, Zatolkina EV, Chesak SV, Duplyakin VK. The way to prepare catalyst for naphtha reforming. Patent RF No. 2288779, 2006 (in Russian).Search in Google Scholar

Berenblyum AS, Ovsyannikova LV, Katsman EA. Acid soluble oil, by-product formed in isobutane alkylation with alkene in the presence of trifluoro methane sulfonic acid: Part I Acid soluble oil composition and its poisoning effect. Appl Catal A 2002; 232: 51–58.Search in Google Scholar

Berenblyum AS, Katsman EA, Berenblyum RA, Hommeltoft SI. Modeling of side reactions of isobutane alkylation with butenes catalyzed by trifluoromethane sulfonic acid. Appl Catal A 2005; 284: 207–214.Search in Google Scholar

Berry TA, McKeen TR, Pugsley TS, Dalai AK. Two-dimensional reaction engineering model of the riser section of a fluid catalytic cracking unit. Ind Eng Chem Res 2004; 43: 5571–5581.Search in Google Scholar

Beskov VS, Flokk V. Modeling of catalytic processes and reactors. Moscow, Russia: Khimiya, 1991 (in Russian).Search in Google Scholar

Bityukov VK, Tikhomirov SG, Podkopaeva SV, Khromyh EA. Matematicheskoe modelirovanie ob’ektov upravleniya lhimicheskoi promyshlennosti. Voronezh: VGUIT, 2011 (in Russian).Search in Google Scholar

Bityukov VK, Zhatova IA, Alekseev MV, Popov AP. The mathematical model development of the ethylbenzene dehydrogenation process kinetics in a two-stage adiabatic continuous reactor. Proc VSUET 2012; 2: 55–60 (in Russian).Search in Google Scholar

Boldushevskii RE, Kapustin VM, Chernysheva EA, Gulyaeva LA, Grudanova AI, Stolonogova TI. Studying of the efficiency of a catalytic dewaxing process utilizing zeolite-based catalyst with an iron additive. Catal Ind 2015; 7: 301–306.Search in Google Scholar

Boreskov GK. Heterogeneous catalysis. Moscow, Russia: Nauka, 1986 (in Russian).Search in Google Scholar

Boreskov GK. Catalysis. Issues of theory and practice. Novosibirsk, Russia: Nauka, 1987 (in Russian).Search in Google Scholar

Boreskov GK, Slinko MG. Modeling of chemical reactors. Theor Found Chem Eng 1967; 1: 5–16.Search in Google Scholar

Chekantsev NV, Gyngazova MS, Ivanchina ED. Mathematical modeling of light naphtha (C5, C6) isomerization process. Chem Eng J 2014; 238: 120–128.Search in Google Scholar

Chen Z, Yan Y, Elnashaie S. Catalyst deactivation and engineering control for steam reforming of higher hydrocarbons in a novel membrane reformer. Chem Eng Sci 2004; 59: 1965–1978.Search in Google Scholar

Chen S, Fan Y, Yan Z, Wang W, Liu X, Lu C. CFD optimization of feedstock injection angle in a FCC riser. Chem Eng Sci 2016; 153: 58–74.Search in Google Scholar

Corella J. On the modeling of the kinetics of the selective deactivation of catalysts. Application to the fluidized catalytic cracking process. Ind Eng Chem Res 2004; 43: 4080–4086.Search in Google Scholar

Corella J, Francés E. Fluid catalytic cracking. ACS Symposium Series. Washington, DC: American Chemical Society, 1991.Search in Google Scholar

Coxon PG, Bischoff KB. Lumping strategy. Introduction to techniques and application of cluster analysis. Ind Eng Chem Res 1987; 26: 1239–1248.Search in Google Scholar

Dagde KK, Puyate YT. Modelling and simulation of industrial FCC unit: analysis based on five-lump kinetic scheme for gas-oil cracking. Int J Eng Res Ind Appl 2012; 2: 698–714.Search in Google Scholar

Das AK, Baudrez E, Marin GB, Heynderickx GJ. Three-dimensional simulation of a fluid catalytic cracking riser reactor. Ind Eng Chem Res 2003; 42: 2602–2617.Search in Google Scholar

Derouin C, Nevicato D, Forissier M, Wild G, Bernard JR. Hydrodynamics of riser units and their impact on FCC operation. Ind Eng Chem Res 1997; 36: 4504–4515.Search in Google Scholar

Doronin VP, Lipin PV, Sorokina TP. Influence of conditions of conducting process for the composition of products with traditional and deep catalytic cracking oil factions. Catal Ind 2012; 1: 27–32 (in Russian).Search in Google Scholar

Dupain X, Gamas ED, Madon R, Kelkar CP, Makkee M, Moulijn JA. Aromatic gas oil cracking under realistic FCC conditions in a microriser reactor. Fuel 2003; 82: 1559–1569.Search in Google Scholar

Dyusembaeva AA, Vershinin VI. Modeling the reforming of straight-run gasoline (fraction 85–140°C) with allowance for the deactivation of Pt catalyst. Catal Ind 2017; 9: 10–16.Search in Google Scholar

Ebrahimi AA, Tarighi S, Ani AB. Experimental and kinetic study of catalytic cracking of heavy fuel oil over E-CAT/MCM-41 catalyst. Kinet Catal 2016; 57: 610–616.Search in Google Scholar

Faleev SA, Zanin IK, Ivanchina ED, Sharova ES, Prodan VI. Optimization of supply of hydrogen chloride in reforming reactors on the base of taking into account coke accumulation on the catalyst. Bull Tomsk Polytech Univ 2013; 322: 35–37.Search in Google Scholar

Fetisova VA, Ivashkina EN, Ivanchina ED, Kravtsov AV. Mathematical model for the process of benzene alkylation by higher olefines. Catal Ind 2010; 2: 55–61.Search in Google Scholar

Frank-Kamentsky DA. Diffusion and heat transfer in chemical kinetics. Moscow, Russia: Nauka, 1967 (in Russian).Search in Google Scholar

Frantsina EV, Ivashkina EN, Ivanchina ED, Romanovsky RV. Developing of the mathematical model for controlling the operation of alkane dehydrogenation catalyst in production of linear alkyl benzene. Chem Eng J 2014; 238: 129–139.Search in Google Scholar

Frantsina E, Ivashkina E, Ivanchina E, Romanovskii R. Decreasing the hydrogen-rich gas circulation ratio and service life extension of the C9–C14 alkanes dehydrogenation catalyst. Chem Eng J 2015; 282: 224–232.Search in Google Scholar

Froment GF. Single event kinetic modeling of complex catalytic processes. Catal Rev Sci Eng 2005; 47: 83–124.Search in Google Scholar

Froment G. On fundamental kinetic equations for chemical reactions and processes. Curr Opin Chem Eng 2014; 5: 1–6 (in Russian).Search in Google Scholar

Fusheng Q, Yongqian W, Qiao L. A lumped kinetic model for heavy oil catalytic cracking FDFCC process. Pet Sci Technol 2016; 34: 192–199.Search in Google Scholar

Gao J, Xu C, Lin S, Yang G, Guo Y. Advanced model for turbulent gas-solid flow and reaction in FCC riser reactor. AIChE J 1999; 45: 1095–1113.Search in Google Scholar

Grudanova AI, Khavkin VA, Gulyaeva LA, Sergienko SA, KrasilnikovaLA, Misko OM. Perspective processes of production of diesel fuels for the cold and arctic climate with improved environmental and operational characteristics. World Oil Products 2013; 12: 3–7 (in Russian).Search in Google Scholar

Grudanova AI, Gulyaeva LA, Krasil’nikova LA, Chernysheva EA. A catalyst for producing diesel fuels with improved cold flow characteristics. Catal Ind 2016; 8: 40–47.Search in Google Scholar

Gyngazova MS, Kravtsov AV, Ivanchina ED, Korolenko MV, Chekantsev NV. Reactor modeling and simulation of moving-bed catalytic reforming process. Chem Eng J 2011; 176177: 134–143.Search in Google Scholar

Hou W, Su H, Hu Y, Chu J. Modeling, simulation and optimization of a whole industrial catalytic naphtha reforming process on Aspen Plus platform. Chin J Chem Eng 2006; 14: 584–591.Search in Google Scholar

Ioffe II, Pismen LM. Engineering chemistry in heterogeneous catalysis. Moscow, Russia: Khimiya, 1965 (in Russian).Search in Google Scholar

Ivanchina ED, Sharova ES, Poluboyartsev DS, Chekantsev NV, Kravtsov AV. Monitoring of the commercial operation of reforming catalysts using a computer simulation system. Catal Ind 2009; 1: 128–133.Search in Google Scholar

Ivanchina ED, Ivashkina EN, Dolganova IO, Platonov VV. Effect of thermodynamic stability of higher aromatic hydrocarbons on the activity of the HF catalyst for benzene alkylation with C9–C14 olefins. Petrol Chem 2014; 54: 445–451.Search in Google Scholar

Ivanchina ED, Ivashkina EN, Kozlov IA, Dolganova IO, Platonov VV. Prediction of the dynamics of the formation of high-molecular-weight organofluorine aromatic hydrocarbons in the process of alkylation of benzene with olefins by the method of mathematical modeling. Catal Ind 2015; 1: 55–63 (in Russian).Search in Google Scholar

Ivanchina ED, Ivashkina EN, Nazarova GY, Stebeneva VI, Shafran TA, Kiseleva SV, Khrapov DV, Korotkova NV, Esipenko RV. Development of the kinetic model of catalytic cracking. Catal Ind 2017; 17: 477–486 (in Russian).Search in Google Scholar

Ivanova AS, Korneeva EV, Bukhtiyarova GA, Nuzhdin AL, Budneva AA, Prosvirin IP, Zaikovsky VI, Noskov AS. Hydrocracking of vacuum gas oil in the presence of deposited Ni-W catalysts. Kinet Catal 2011; 52: 457–469 (in Russian).Search in Google Scholar

Ivashkina EN, Frantsina EV, Romanovsky RV, Dolganov IM, Ivanchina ED, Kravtsov AV. Developing a method for increasing the service life of a higher paraffin dehydrogenation catalyst, based on the nonstationary kinetic model of a reactor. Catal Ind 2012; 4: 110–120.Search in Google Scholar

Ivashkina EN, Nazarova GY, Ivanchina ED, Belinskaya NS, Ivanov SY. The increase in the yield of light fractions during the catalytic cracking of C13-C40 hydrocarbons. Curr Org Synth 2017; 14: 353–364.Search in Google Scholar

Jacob SM, Gross B, Voltz SE, Weekman VW. A lumping and reaction scheme for catalytic cracking. AIChE J 1976; 22: 701–713.Search in Google Scholar

Jiang H, Ren S, Zhou L, Wang Y, Cao J. Kinetic model of heavy paraffins dehydrogenation. Pet Sci Technol 2015; 33: 1305–1313.Search in Google Scholar

Junusova AA, Ostrovsky NM. Two-level reforming model. Chem Technol 2003; 4: 23–29 (in Russian).Search in Google Scholar

Kafarov VV. Methods of cybernetics in chemistry and chemical engineering. Moscow, Russia: Khimiya, 1985 (in Russian).Search in Google Scholar

Kang X, Guo X, You H. An introduction to the lump kinetics model and reaction mechanism of FCC gasoline. Energy Sources A 2013; 35: 1921–1928.Search in Google Scholar

Karimov EK, Kas’yanova LZ, Movsumzade EM, Daminev RR, Karimov OK. Salient features of deactivation of an iron oxide catalyst for dehydrogenation of methylbutenes to isoprene in industrial adiabatic reactors. Pet Chem 2014; 54: 213–217.Search in Google Scholar

Kapustin VM. Innovative development of oil refining and petrochemistry of Russia. World Oil Products 2011; 6: 3–7 (in Russian).Search in Google Scholar

Kapustin VM, Chernysheva EA. The prospects of catalytic processes of oil refining and increasing the role of catalysts. II Russian congress on catalysis “RUSCATALYSIS”: abstracts of the congress, 2–5 October 2014, Samara. Boreskov Institute of Catalysis SB RAS 2014; 1: 31–37 (in Russian).Search in Google Scholar

Kataev AN, Egorov AG, Egorova SR, Lamberov AA. Mathematical modeling of changes in particle size distribution of dehydrogenation catalysts in a fluidized bed reactor. Katal Prom-Sti 2015; 15: 60–66 (in Russian).Search in Google Scholar

Kazakov MO, Lavrenov AV, Belskaya OB, Danilova IG, Arbuzov AB, Gulyaeva TI, Drozdov VA, Duplyakin VK. Hydroisomerization of benzene-containing gasoline fractions on a Pt/SO42−-ZrO2-Al2O3 catalyst: III. The hydrogenating properties of the catalyst. Kinet Catal 2012; 53: 101–106.Search in Google Scholar

Khavkin VA, Gulyaeva LA, Vinokurov BV. The place of hydrogenation processes in the modernization of the Russian oil refining industry. Oil refining and petrochemistry. Scientific and Technological Achievements and Best Practices 2014; 7: 8–11 (in Russian).Search in Google Scholar

Kholokhonova LI, Korotkaya EV. Kinetika khimicheskikh reaktsii. Kemerovo: KTIPP, 2004 (in Russian).Search in Google Scholar

Klenov OP, Noskov AS. Using computational hydrodynamics in modeling of catalytic reactors. Novosibirs, Russia: Publishing Office of SB RAS, 2014 (in Russian).Search in Google Scholar

Kolesnikov SI. Scientific basis of the production of high octane gasoline with additives and catalytic process. Moscow: Neft I Gas, 2007 (in Russian).Search in Google Scholar

Koronatov NN, Kuzuchkin NV, Fedorov VI. The influence of fractional composition of xylene reforming raw material on the aromatization degree of hydrocarbons C8. Bull St PbSIT(TU) 2013; 19: 75–77.Search in Google Scholar

Kozlov IA, Andreev AB, Kravtsov AV, Ivanchina ED, Ivashkina EN, Frantsina EV, Romanovsky RV, Dolganov IM, Afanasyeva YI. Method for controlling the catalyst activity of the dehydrogenation process of higher n-paraffins. Patent No. 1 RU 2486168, 2012.Search in Google Scholar

Kravtsov AV, Gyngazova MS, Ivanchina ED, Korolenko MV, Uvarkina DD. Kinetic model of the catalytic reforming of gasolines in moving-bed reactors. Catal Ind 2010; 2: 374–380.Search in Google Scholar

Lan X, Xu C, Wang G, Wu L, Gao J. CFD modeling of gas–solid flow and cracking reaction in two-stage riser FCC reactors. Chem Eng Sci 2009; 64: 3847–3858.Search in Google Scholar

Lappas AA, Iatridis DK, Papapetrou MC, Kopalidou EP, VasalosIA. Feedstock and catalyst effects in fluid catalytic cracking – comparative yields in bench scale and pilot plant reactors. Chem Eng J 2015; 278: 140–149.Search in Google Scholar

Lavrenov AV, Bogdanets EN, Duplyakin VK. Solid acid alkylation of isobutane by butenes: a way from study out of causes of fast catalyst deactivation to technological implementation of the process Kataliz V Promyshlennosti. Catal Ind 2009a; 1: 28–38 (in Russian).Search in Google Scholar

Lavrenov AV, Kazakov MO, Duplyakin VK, Liholobov VA. Hydroisomerization of reformed gasoline on the Pt/SO42−-ZrO2 catalyst. Pet Chem 2009b; 49: 218–224.Search in Google Scholar

Lazyan YI, Lazyan NG, Gulyaeva LA, Kurganov VM. Kinetic model of hydrodewaxing of kerosene fraction. Chem Technol Fuels Oils 1992; 5: 9–12 (in Russian).Search in Google Scholar

Lebedev BL, Afanasyev IP, Ishmurzin AV, Talalaev SY, Shteba VE, Kameshkov AV, Domnin PI. Production of winter diesel fuel in Russia. Oil refining and petrochemistry. Scientific and Technological Achievements and Best Practices 2015; 4: 19–27 (in Russian).Search in Google Scholar

Levenspiel O. Engineering design of heterogenous processes. Moscow, Russia: Khimiya, 1969 (in Russian).Search in Google Scholar

Levenspiel O. Modeling in chemical engineering. Chem Eng Sci 2002; 57: 4691–4696.Search in Google Scholar

Lid T, Skogestad S. Data reconciliation and optimal operation of a catalytic naphtha reformer. J Process Control 2008; 18: 320–331.Search in Google Scholar

Malinovskaya OA, Beskov VS, Slinko MG. Modeling of catalytic processes in porous grains. Novosibirsk, Russia: Nauka, 1975 (in Russian).Search in Google Scholar

Matros YuSh. Unsteady processes in catalytic reactors. Novosibirsk, Russia: Nauka, 1982 (in Russian).Search in Google Scholar

Matros YuSh, Noskov AS, Chumachenko VA. Catalytic disposal of off-gas in industry. Novosibirsk, Russia: Nauka, 1991 (in Russian).Search in Google Scholar

Mitrichev II, Zhensa AV, Kol’tsova EM. Thermodynamic criteria for estimating the kinetic parameters of catalytic reactions. Russ J Phys Chem A 2017; 91: 44–51.Search in Google Scholar

Mukherjee M, Nehlsen J, Sundaresan S. Scale-up strategy applied to solid-acid alkylation process. Oil Gas J 2006; 104: 48–54.Search in Google Scholar

Nazarova GY, Ivashkina EN, Ivanchina ED, Stebeneva VI. Influence of catalyst/feedstock ratio on the yield of light fractions and coke during the catalytic cracking technology. Pet Coal 2016; 58: 709–714.Search in Google Scholar

Ngomo HM, Susu AA. Modelling the deactivation kinetics of cyclohexane dehydrogenation on platinum/alumina catalyst. Chem Eng Commun 1996; 154: 1–9.Search in Google Scholar

Niknaddaf S, Soltani M, Farjoo A, Khorasheh F. Modeling of coke formation and catalyst deactivation in propane dehydrogenation over a commercial Pt-Sn/γ-Al2O3 catalyst. Pet Sci Technol 2013; 31: 2451–2462.Search in Google Scholar

Oliveira L, Biscaia EC. Catalytic cracking kinetic models. Parameter estimation and model evaluation. Ind Eng Chem Res 1989; 28: 264–271.Search in Google Scholar

Ostrovsky NM. Kinetics of catalyst deactivation: mathematical models and their application. Moscow, Russia: Nauka, 2001 (in Russian).Search in Google Scholar

Padmavathi G, Chaudhuri KK, Rajeshwer D, Rao GS, Krishnamurthy KR, Trivedi PC, Hathi KK, Subramanyam N. Kinetics of n-dodecane dehydrogenation on promoted platinum catalyst. Chem Eng Sci 2005; 60: 4119–4129.Search in Google Scholar

Palmer ER, Kao SH, Tung C, Shipman DR. Consider options to lower benzene levels in gasoline. New regulations further limit this aromatic from the refinery blending pool. Hydrocarbon Process 2008; 7: 55–66.Search in Google Scholar

Parmon VN. Thermodynamics of non-equilibrium processes for chemists with application to chemical kinetics, catalysis, material science and biology. Dolgoprudny, Russia: ID “Intellect”, 2015 (in Russian).Search in Google Scholar

Petrov NA, Yuryev VM, Khisaev AI. Synthesis of anionic and cationic surfactants for use in the oil industry. Textbook, Ufa: UNGTU, 2008 (in Russian).Search in Google Scholar

Pitault I, Nevicato D, Forissier M, Bernard J. Détermination de constantes cinétiques du craquage catalytique par la modélisation du test de microactivité (MAT). Chem Eng Sci 1995; 43: 498–504.Search in Google Scholar

Poleshchuk OH, Kizhner DM. Chemical studies by methods of calculating the electronic structure of molecules. Tomsk: TPU Publishing House, 2006 (in Russian).Search in Google Scholar

Radu S, Ciuparu D. Modelling and simulation of an industrial fluid catalytic cracking unit. Rev Chim 2014; 1: 113–119.Search in Google Scholar

Rao P, Vatcha SR. Solid-acid alkylation process development is at a crucial stage. Oil Gas J 1996; 94: 56–61.Search in Google Scholar

Road map “Using nanotechnologies in catalytic processes of oil refining”. . 2010 (in Russian).Search in Google Scholar

Sa Y, Liang X, Chen X, Liu J. Study of 13-lump kinetic model for residual catalytic cracking. Petrochem. Eng Cor 1995; 3: 145–152.Search in Google Scholar

Saeedizad M, Sahebdelfar S, Mansourpour Z. Deactivation kinetics of platinum-based catalysts in dehydrogenation of higher alkanes. Chem Eng J 2009; 154(1): 76–81.Search in Google Scholar

Satterfield CN. Heterogeneous catalysis in practice. New York: McGraw-Hill Book Company, 1984.Search in Google Scholar

Shelepova EV, Vedyagin AA. Ecological and energy aspects of the propane dehydrogenation process realized in the membrane reactor. Int Sci J Altern Energy Ecol 2011; 2: 98–101.Search in Google Scholar

Shelepova EV, Vedyagin AA, Noskov AS. Effect of catalytic combustion of hydrogen on the dehydrogenation processes in a membrane reactor. I. Mathematical model of the process. Combust Explos Shock Waves 2011; 47: 499–507.Search in Google Scholar

Shelepova EV, Vedyagin AA, Noskov AS. Effect of catalytic combustion of hydrogen on dehydrogenation in a membrane reactor. II. Dehydrogenation of ethane. Verification of the mathematical model. Combust Explos Shock Waves 2013; 49: 125–132.Search in Google Scholar

Slinko MG. Modeling of chemical reactor. Novosibirsk, Russia: Nauka, 1968 (in Russian).Search in Google Scholar

Slinko MG. Kinetic studies is a basis of mathematical modeling of processes and reactors. Kinet Catal 1972; 13: 566–580 (in Russian).Search in Google Scholar

Slinko MG. Kinetic model as a basis of mathematical modeling of catalytic processes. Theor Found Chem Eng 1976; 10: 137–146 (in Russian).Search in Google Scholar

Slinko MG. Studies in the field of modeling of chemical reactors. Theor Found Chem Eng 1978; 12: 206–214 (in Russian).Search in Google Scholar

Slinko MG. Dynamics of chemical processes and reactors. Indus Chem 1979; 11: 27–31 (in Russian).Search in Google Scholar

Slinko MG. Tasks on kinetics of heterogonous catalytic reactions for modeling of chemical reactions. Kinet Catal 1981; 22: 5–14 (in Russian).Search in Google Scholar

Slinko MG. Mathematical modeling and numerical experiment in chemical engineering. Ind Chem 1986; 4: 3–4 (in Russian).Search in Google Scholar

Slinko MG. On kinetics of heterogeneous-catalytic reactions. Indus Chem 1993; 12: 3–8 (in Russian).Search in Google Scholar

Slinko MG. Modeling of heterogeneous catalytic processes. Theor Found Chem Eng 1998; 32: 433–440 (in Russian).Search in Google Scholar

Slinko MG. Principles and methods of technology of catalytic processes. Theor Found Chem Eng 1999; 33: 528–538 (in Russian).Search in Google Scholar

Slinko MG. Scientific foundations of the theory of catalytic processes and reactors. Kinet Catal 2000; 41: 933–946 (in Russian).Search in Google Scholar

Slinko MG. Foundations and principles of mathematical modeling of catalytic processes. Novosibirsk, Russia: Boreskov Institute of Catalysis, 2004 (in Russian).Search in Google Scholar

Slinko MG. History of development of mathematical modeling of catalytic processes and reactors. Theor Found Chem Eng 2007; 41: 16–34 (in Russian).Search in Google Scholar

Slinko MG. Automatic systems of scientific research (ASNI) – methodology and method of accelerating the development of catalytic processes. Catal Ind 2008; 5: 3–9 (in Russian).Search in Google Scholar

Slinko MG, Yablonsky GS. Dynamics of heterogenous catalytic reactions. Prob Kinet Catal 1978; 17: 154–169.Search in Google Scholar

Smolikov MD, Zaitsev AV, Khabibislamova NM, Belyi AS, Borovikov AY, Duplyakin VK, Kazanskii VB. Oxidized platinum surface in Pt/Al2O3 reforming catalysts: IR studies. Rect Kinet Catal Lett 1994; 53: 169–175.Search in Google Scholar

Soloviev ME, Soloviev MM. Computer chemistry. Moscow: SOLON Press, 2005 (in Russian).Search in Google Scholar

Talyshinsky RM. Kinetic aspects of deactivation of long operated catalysts. Chem Technol Fuels Oils 2006; 1: 35–37 (in Russian).Search in Google Scholar

The review on catalyst market in Russia, Moscow, September, 2013. . (in Russian).Search in Google Scholar

Theologos KN, Markatos NC. Advanced modeling of fluid catalytic cracking riser-type reactors. AIChE J 1993; 39: 1007–1017.Search in Google Scholar

Topilnikov VI, Sosna MK. Modeling of the process of hydrocracking of paraffinic hydrocarbons. Chem Technol Fuels Oils 2012; 2: 34–38 (in Russian).Search in Google Scholar

Topilnikov VI, Sosna MK, Lapidus AL. Development of a model for the hydrocracking of normal paraffins. Solid Fuel Chem 2012; 46: 93–99.Search in Google Scholar

Tretyakov VF, Talyshinsky RM. Kinetika I dinamika geterogennykh kataliticheskikh neftekhimicheskikh protsessov. Moscow: MITKhT, 2012 (in Russian).Search in Google Scholar

Vafajoo L, Khorasheh F, Nakhjavani MH, Fattahi M. Kinetic parameters optimization and modeling of catalytic dehydrogenation of heavy paraffins to olefins. Pet Sci Technol 2014; 32: 813–820.Search in Google Scholar

Wan L, Zhang SP, Zhao ST, Xu QL, Yan YJ. Kinetic modeling for co-processing the high-boiling fraction of bio-oil with paraffin oil considering the deactivation by coke. Energy Sources A 2013; 35: 800–808.Search in Google Scholar

Weekman JVW, Nace DM. Model of catalytic cracking conversion in fixed, moving, and fluid-bed reactors. Ind Eng Chem Process Des Dev 1968; 7: 90–95.Search in Google Scholar

Wei J, Prater CD. The structure and analysis of complex reaction systems. Adv Catal 1962; 13: 203–392.Search in Google Scholar

Xiong K, Lu C, Wang Z, Gao X. Kinetic study of catalytic cracking of heavy oil over an in-situ crystallized FCC catalyst. Fuel 2015; 142: 65–72.Search in Google Scholar

Yablonsky GS, Bykov VI, Elohin VI. Kinetics of model reactions of heterogeneous reactions. Novosibirsk, Russia: Nauka, 1981 (in Russian).Search in Google Scholar

Yablonsky GS, Bykov VI, Gorban AN. Kinetic models of catalytic reactions. Novosibirsk, Russia: Nauka, 1983 (in Russian).Search in Google Scholar

Yakupova IV, Chernjakova ES, Ivanchina JD, Belyi AS, Smolikov MD. Performance prediction of the catalyst PR-81 at the production unit using mathematical modeling method. Proced Eng 2015; 113: 51–56.Search in Google Scholar

Zagoruiko AN. Unsteady catalytic processes and sorption-catalytic technologies. Russ Chem Rev 2007; 76: 639–654.Search in Google Scholar

Zagoruiko A, Belyi A, Smolikov M, Noskov A. Unsteady-state kinetic simulation of oil reforming and coke combustion processes in the fixed and moving catalyst beds. Catal Today 2014; 220222: 168–177.Search in Google Scholar

Zernov PA, Murzin DY, Paraps OI, Kuzichkin NV. Simulation of the process of alkylation of isobutane with butylenes in a reaction-rectification apparatus. Chem Chem Technol 2014; 57: 100–104 (in Russian).Search in Google Scholar

Zhatova IA, Popov AP, Alekseev MV. Dynamics simulation of coke on the catalytic dehydrogenation of ethylbenzene bed reactor during the manufacture of styrene. Sci Bull Vgasu 2014; 2: 80–83 (in Russian).Search in Google Scholar

Zhorov YM. Calculations and studies of chemical processes of oil refining. Moscow: Chemistry, 1973 (in Russian).Search in Google Scholar

Received: 2018-06-15
Accepted: 2019-01-30
Published Online: 2019-04-03
Published in Print: 2021-01-27

©2019 Walter de Gruyter GmbH, Berlin/Boston