A Survey on Mathematical Modelling of Deposition in Waxy Crude Oils

A. Fasano; L. Fusi; S. Correra; M. Margarone

Mathematical Modelling of Natural Phenomena (2011)

  • Volume: 6, Issue: 5, page 157-183
  • ISSN: 0973-5348

Abstract

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Waxy Crude Oils (WCO’s) are characterized by the presence of heavy paraffins in sufficiently large concentrations. They exhibit quite complex thermodynamical and rheological behaviour and present the peculiar property of giving rise to the formation of segregated wax deposits, when temperature falls down the so called WAT, or Wax Appearance Temperature. In extreme cases, segregated waxes may lead to pipeline occlusion due to deposition on cold walls. In this paper we review the mathematical models formulated to describe: (i) wax cystallization or thawing in cooling/heating cycles; (ii) the mechanisms of mass transport in saturated non-isothermal solutions; (iii) the experimental device used to measure wax solubility and wax diffusivity; (iv) wax deposition in pipelines carrying a warm, wax-saturated WCO through cold regions; (v) wax deposition accompanied by gelification during the cooling of a WCO under a thermal gradient.

How to cite

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Fasano, A., et al. "A Survey on Mathematical Modelling of Deposition in Waxy Crude Oils." Mathematical Modelling of Natural Phenomena 6.5 (2011): 157-183. <http://eudml.org/doc/222223>.

@article{Fasano2011,
abstract = {Waxy Crude Oils (WCO’s) are characterized by the presence of heavy paraffins in sufficiently large concentrations. They exhibit quite complex thermodynamical and rheological behaviour and present the peculiar property of giving rise to the formation of segregated wax deposits, when temperature falls down the so called WAT, or Wax Appearance Temperature. In extreme cases, segregated waxes may lead to pipeline occlusion due to deposition on cold walls. In this paper we review the mathematical models formulated to describe: (i) wax cystallization or thawing in cooling/heating cycles; (ii) the mechanisms of mass transport in saturated non-isothermal solutions; (iii) the experimental device used to measure wax solubility and wax diffusivity; (iv) wax deposition in pipelines carrying a warm, wax-saturated WCO through cold regions; (v) wax deposition accompanied by gelification during the cooling of a WCO under a thermal gradient. },
author = {Fasano, A., Fusi, L., Correra, S., Margarone, M.},
journal = {Mathematical Modelling of Natural Phenomena},
keywords = {waxy crude oils; molecular diffusion; mathematical models; free boundary problems},
language = {eng},
month = {8},
number = {5},
pages = {157-183},
publisher = {EDP Sciences},
title = {A Survey on Mathematical Modelling of Deposition in Waxy Crude Oils},
url = {http://eudml.org/doc/222223},
volume = {6},
year = {2011},
}

TY - JOUR
AU - Fasano, A.
AU - Fusi, L.
AU - Correra, S.
AU - Margarone, M.
TI - A Survey on Mathematical Modelling of Deposition in Waxy Crude Oils
JO - Mathematical Modelling of Natural Phenomena
DA - 2011/8//
PB - EDP Sciences
VL - 6
IS - 5
SP - 157
EP - 183
AB - Waxy Crude Oils (WCO’s) are characterized by the presence of heavy paraffins in sufficiently large concentrations. They exhibit quite complex thermodynamical and rheological behaviour and present the peculiar property of giving rise to the formation of segregated wax deposits, when temperature falls down the so called WAT, or Wax Appearance Temperature. In extreme cases, segregated waxes may lead to pipeline occlusion due to deposition on cold walls. In this paper we review the mathematical models formulated to describe: (i) wax cystallization or thawing in cooling/heating cycles; (ii) the mechanisms of mass transport in saturated non-isothermal solutions; (iii) the experimental device used to measure wax solubility and wax diffusivity; (iv) wax deposition in pipelines carrying a warm, wax-saturated WCO through cold regions; (v) wax deposition accompanied by gelification during the cooling of a WCO under a thermal gradient.
LA - eng
KW - waxy crude oils; molecular diffusion; mathematical models; free boundary problems
UR - http://eudml.org/doc/222223
ER -

References

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  1. M. Avrami. Kinetics of Phase Change. I. General Theory. J. Chem. Phys., 7 (1939), No. 12, 1103–1112.  
  2. M. Avrami. Kinetics of Phase Change. II. Transformation-Time Relations for Random Distribution of Nuclei. J. Chem. Phys., 8 (1940), No. 2, 212–224.  
  3. M. Avrami. Kinetics of Phase Change. III. Granulation, Phase Change, and Microstructure. J. Chem. Phys., 9 (1941), No. 2, 177–184.  
  4. L.F.A. Azevedo, A.M. Texeira. A critical review of the modeling of wax deposition mechanisms. Pet. Sci. Technol., 21 (2003), No. 3& 4, 393–408.  
  5. E.D. Burger, T.K. Perkins, J.H.J. Striegler. Studies of wax deposition in the trans Alaska pipeline. J. Pet. Technol., June (1981), 1075–1086..  
  6. E. Comparini, F. Talamucci. A general model for wax diffusion in crude oils under thermal gradient, in Applied and Industrial Mathematics in Italy, (v. Cutello et al. eds.), World Scientific (2007), 259–270.  
  7. S. Correra, A. Fasano, L. Fusi, M. Primicerio, F. Rosso. Wax diffusivity under given thermal gradient: a mathematical model, ZAMM Z. Angew. Math. Mech., 87 (2007), No. 1, 24–36.  
  8. S. Correra, A. Fasano, L. Fusi, M. Primicerio. Modelling of wax diffusion in crude oils: the cold finger device, Appl. Math. Modl., 31 (2007), No. 10, 2286–2298.  
  9. S. Correra, A. Fasano, L. Fusi L. , D. Merino–Garcia D.. Calculating deposit formation in the pipelining of waxy crude oils. Meccanica, 42 (2007), No. 2, 149–165.  
  10. B. Coto, C. Martos, J.J. Espada, M.D. Robustillo, J.L. Peña. Analysis of paraffin precipitation from petroleum mixtures by means of DSC: iterative procedure considering solid-liquid equilibrium equations. Fuel, 89 (2010), 1087–1094.  
  11. J.A.P. Coutinho, K. Knudsen, S.I. Andersen. A local composition model for paraffinic solis solution. Chem. Eng. Science, 51 (1996), No. 12, 3273–3282.  
  12. J.A.P. Coutinho, V. Ruffier-Meary. The use of differential scanning calorimetry in studies of wax deposition: measuring the solid formation and binary solid-liquid equilibrium phase diagrams. Oil Gas Sci. Technol., 54 (1999), No. 5, 641–648.  
  13. J.A.P. Coutinho, B. Edmonds, T. Moorwood, R. Szczepanski, X. Zhang. Reliable wax predictions for flow assurance. Energ. Fuel, 20 (2006), 1081–1088.  
  14. J.C. Escobar-Remolina. Prediction of characteristics of wax precipitation in synthetic mixtures and fluids of petroleum: a new model. Fluid Phase Equilibr., 240 (2006), 197–203.  
  15. L. Faienza. Mathematical models for wax deposition in crude oils. PhD Thesis, Dept. of Math., University of Florence (2010).  
  16. A. Fasano, M. Primicerio. Heat and mass transfer in non-isothermal partially saturated solutions. New Trends in Mathematical Physics,(P. Fergola et al. eds.), World Scientific (2003), 33–44.  
  17. A. Fasano, M. Primicerio. Temperature driven mass transport in concentrated saturated solutions. Prog. nonlin., 61 (2005), 91-108.  
  18. A. Fasano, M. Primicerio. Wax deposition in crude oil: a new approach. Rend. Mat. Acc. Lincei, 9 (2005), 251-263.  
  19. A. Fasano, L. Fusi, J.R. Ockendon, M. Primicerio. Gelification and mass transport in a static non-isothermal waxy solution. Euro. J. of Appl. Math., 20 (2009), No. 1, 93–122.  
  20. R. Gianni, A.G. Petrova. One-dimensional problem for heat and mass transport in oil-wax solution. Rend. Mat. Acc. Lincei, 9 (2005), 181–196.  
  21. A. Hammami, A.K. Mehrotra. Non-isothermal crystallization kinetics of n-paraffins with chain lenght between thirty and fifty. Thermochim. Acta, 211 (1992), 137–153.  
  22. A. Hammami, A.K. Mehrotra. Non-isothermal crystallization kinetics of even-numbered and odd-numbered normal alkanes. Thermochim. Acta, 215 (1993), 197–209.  
  23. A.N. Kolmogorov. In Russian. Bull. Acad. Sci. USSR. Ser. Math., 3 (1937), 355–359.  
  24. M. Margarone, R. Bagatin, C. Busto, P. D’Olimpio, L. Fusi, L. Faienza, A. Fasano, M. Primicerio. A wax crystallization model from DSC experiments. 11th International Conference on Petroleum Phase Behavior and Fouling, 13 - 17 June 2010, Jersey City, NJ, US.  
  25. D. Merino-Garcia, M. Margarone, S. Correra. Kinetics of waxy gel formation from batch experiments. Energ. Fuel, 21 (2007), 1287–1295.  
  26. T. Ozawa. Kinetics of non-isothermal crystallization. Polymer, 12 (1971), 150–158.  
  27. S.K. Pedersen, P. Skovborg, P.D. Hans. Wax Precipitation from North Sea Crude Oils: Thermodyamic Modeling. Energ. Fuel, 5 (1991), 924–932.  
  28. M. Primicerio. Wax Segregation in Oils: A Multiscale Problem. in Progress in Industrial Mathematics at ECMI 2008 (A.D.Fitt et al. eds.), Springer 2010, pp 43-68.  
  29. E. Ramirez-Jaramillo, C. Lira-Galeana, O. Manero. Modeling wax deposition in pipelines. Petrol. Sci. Technol., 22 (2004), 821–861.  
  30. P. Sajkiewicz, L. Carpaneto, A. Wasiak. Application of the Ozawa model to non-isothermal crystallization of poly(ethylene terephthalete). Polymer, 42 (2001), 5365–5370.  
  31. P. Singh, R. Venkatesan, H.S. Fogler, N. Nagarajan. Formation and aging of incipient thin film wax-oil gels. AIChE J., 46 (2000), No. 5, 1059–1074 
  32. K.W. Won. Thermodynamics for Solid Solution-Liquid-Vapor-Equilibria: Wax Phase Formation from Heavy Hydrocarbon Mixtures. Fluid Phase Equilibr., 30 (1986), 265–279.  
  33. Z. Zhang, C. Xiao, Z. Dong. Comparison of the Ozawa and modified Avrami models of polymer crystallization under non-isothermal conditions using a commputer simulation method. Thermochim. Acta, 466 (2007), 22–28.  
  34. M.I. Zougari, T. Sopkow. Introduction to Crude Oil Wax Crystallization Kinetics: Process Modeling. Ind. Eng. Chem. Res., 46 (2007), 1360–1368.  

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