Modification of Langmuir isotherm for the adsorption of asphaltene or resin onto calcite mineral surface: Comparison of linear and non-linear methods

  • Majid MohammadiEmail author
  • Mehdi Sedighi
Physicochemical Processes at The Interfaces


In this paper, the Langmuir isotherm, originally derived for the adsorption of three samples of asphaltenes and one sample of resin onto calcite, was modified to fit the adsorption isotherm. The modified Langmuir isotherm parameters obtained from the four linear equations using the different linear method. The aim of this modification is based on the fact that direct application of the Langmuir isotherm often leads to poor data fitting. In the present communication, it is shown that the level of data fitting to the Langmuir isotherm can be improved by a simple modification introducing a concentration dependent factor, X. Four Modified Langmuir linearized isotherm models and one non-linear isotherm model was discussed in this paper, and their coefficients were estimated. In the present study, to study non-linear isotherm model, genetic algorithm was used. A genetic algorithm procedure was utilized to optimize the modified Langmuir constants for a more accurate estimation of the set of model parameters. The obtained results demonstrate that the best fit is obtained using genetic algorithm. Furthermore, it is found that among the mentioned different samples of oil, filtered shale oil follows a multilayer adsorption isotherm.


Genetic Algorithm Calcite Asphalt Langmuir Isotherm Isotherm Model 
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  1. 1.
    Bunger, J. and Li, N., Chemistry of Asphaltenes, Washington: Am. Chem. Soc., D.C., 1981.Google Scholar
  2. 2.
    Speight, J.G., The Chemistry and Technology of Petroleum, N.Y.: Dekker, 1999.CrossRefGoogle Scholar
  3. 3.
    Swanson, J.M., J. Phys. Chem., 1942, vol. 46, p. 141.CrossRefGoogle Scholar
  4. 4.
    Koots, J.A. and Speight, J.G., Fue1., 1975, vol. 54, p. 179.CrossRefGoogle Scholar
  5. 5.
    Buckley, J.S., Fuel Science and Technology International, 1997, vol. 14, p. 55.CrossRefGoogle Scholar
  6. 6.
    Wiehe, I.A. and Liang, K.S., Fluid Phase Equilibria, 1996, vol. 117, p. 201.CrossRefGoogle Scholar
  7. 7.
    Li, S., Liu, C., Que, G., et al., Fuel, 1997, vol. 76, p. 1459.CrossRefGoogle Scholar
  8. 8.
    Premuzic, E.T. and Lin, M.S., J. Petroleum Science and Engineering, 1999, vol. 22, p. 171.CrossRefGoogle Scholar
  9. 9.
    Andersen, S.I. and Speight, J.G., Petroleum Science and Technology, 2001, vol. 19, p. 1.CrossRefGoogle Scholar
  10. 10.
    López-Linares, F., Carbognani, L., González, M., et al., Energy Fuels, 2006, vol. 20, p. 2748.CrossRefGoogle Scholar
  11. 11.
    Piro, G., Canonico, L.B., Galbariggi, G., et al., SPE Prod. Facil., 1996, p. 156.Google Scholar
  12. 12.
    Pernyeszi, T., Patzko, A., Berkesi, O., and Dekany, I., Colloids and Surfaces A, 1998, vol. 137, p. 373.CrossRefGoogle Scholar
  13. 13.
    González, G. and Moreira, M.B.C., Colloids and Surfaces A, 1991, vol. 58, p. 293.CrossRefGoogle Scholar
  14. 14.
    González, G. and Moreira, M.B.C., in Asphaltenes and Asphalts, Yen, T.F., Ed., Amsterdam: Elsevier, 1994, p. 219.Google Scholar
  15. 15.
    Yan, J., Plancher, H., and Morrow, N.R., SPE Prod. Facil., 1997, vol. 12, p. 239.Google Scholar
  16. 16.
    Crocker, M.E. and Marchin, L.M., J. Pet. Tech., 1988, vol. 40, p. 470.Google Scholar
  17. 17.
    Al-Maamari, R.S.H. and Buckley, J.S., SPE/DOE IOR Symp. Tulsa, 2000.Google Scholar
  18. 18.
    Ekholm, P., Blomberg, E., Claesson, P., et al., J. Colloid Interface Sci., 2002, vol. 247, p.?342.CrossRefGoogle Scholar
  19. 19.
    Leontaritis, K.J., Asphaltene Deposition: A Comprehensive Description of Problem Manifestations and Modelling Approaches, Aberdeen: SPE, 1989.Google Scholar
  20. 20.
    Mansoori, G.A., Jiang, T.S., and Kawanaka, S., Arab. J. Sci. Eng., 1988, vol. 13, p. 17.Google Scholar
  21. 21.
    Syunyaev, R.Z. and Balabin, R.M., J. Dispers. Sci. Technol., 2007, vol. 28, p. 419.CrossRefGoogle Scholar
  22. 22.
    Drummond, C. and Israelachvili, J., J. Pet. Sci. Eng., 2004, vol. 45, p. 61.CrossRefGoogle Scholar
  23. 23.
    Toulhoat, H., Prayer, C., and Rouquet, G., Colloids and Surfaces A, 1994, vol. 91, p. 267.CrossRefGoogle Scholar
  24. 24.
    Batina, N., Manzano-Martinez, J.C., Andersen, S.I., and Lira-Galeana, C., Energy Fuels, 2003, vol. 17, p. 532.CrossRefGoogle Scholar
  25. 25.
    Acevedo, S., Castillo, J., Fernandez, A., et al., Energy Fuels, 1998, vol. 12, p. 386.CrossRefGoogle Scholar
  26. 26.
    Acevedo, S., Ranaudo, M., Garcia, C., et al., Colloids Surfaces A, 2000, vol. 166, p. 145.CrossRefGoogle Scholar
  27. 27.
    Acevedo, S., Ranaudo, M., Garcia, C., et al., Energy Fuels, 2003, vol. 17, p. 257.CrossRefGoogle Scholar
  28. 28.
    Castillo, J., Goncalves, S., Fernandez, A., and Mujica, V., Opt. Commun., 1998, vol. 145, p. 69.CrossRefGoogle Scholar
  29. 29.
    Batina, N., Reyna-Cordova, A., Trinidad-Reyes, Y., et al., Energy Fuels, 2005, vol. 19, p. 2001.CrossRefGoogle Scholar
  30. 30.
    Dudasova, D., Silset, A., and Sjoblom, J., J. Dispersion Sci. Technol., 2008, vol. 29, p. 139.CrossRefGoogle Scholar
  31. 31.
    Xie, K. and Karan, K., Energy Fuels, 2005, vol. 19, p. 1252.CrossRefGoogle Scholar
  32. 32.
    Abdallah, W.A. and Taylor, S.D., Nucl. Instrum. Methods Phys. Res. Sect. B, 2007, vol. 258, p. 213.CrossRefGoogle Scholar
  33. 33.
    Labrador, H., Fernandez, Y., Tovar, J., et al., Energy Fuels, 2007, vol. 21, p. 1226.CrossRefGoogle Scholar
  34. 34.
    Liao, Z., Zhou, H., Graciaa, A., et al., Energy Fuels, 2005, vol. 19, p. 180.CrossRefGoogle Scholar
  35. 35.
    Liao, Z., Geng, A., Graciaa, A., et al., Energy Fuels, 2006, vol. 20, p. 1131.CrossRefGoogle Scholar
  36. 36.
    Liao, Z., Geng, A., Graciaa, A., et al., Org. Geochem., 2006, vol. 37, p. 291.CrossRefGoogle Scholar
  37. 37.
    Rogel, E. and León, O., Energy Fuels, 2001, vol. 15, p. 1077.CrossRefGoogle Scholar
  38. 38.
    Romero, C.E. and Carter, J.N., J. Pet. Sci. Eng., 2001, vol. 31, p. 113.CrossRefGoogle Scholar
  39. 39.
    Romero, C.E. and Carter, J.N., Developments in Petroleum Science, 2003, vol. 51, p. 323.CrossRefGoogle Scholar
  40. 40.
    Saemi, M., Ahmadi, M., and Yazdian Varjani, A., J. Pet. Sci. Eng., 2007, vol. 59, p. 97.CrossRefGoogle Scholar
  41. 41.
    Wen-Sheng, C., Fang, Y., Xue-Guang, S., and Zhong-Xiao, P., Chinese J. of Chemistry, 2000, vol. 18, p. 475.CrossRefGoogle Scholar
  42. 42.
    Nassif, N., Kajl, S., and Sabourin, R., HVAC & R, 2005, vol. 11, p. 459.CrossRefGoogle Scholar
  43. 43.
    Mat Noor, R., Ahmad, Z., Mat Don, M., et al., Can. J. Chem. Eng., 2010, vol. 88, p. 1065.CrossRefGoogle Scholar
  44. 44.
    Silva, C. and Biscaia, Jr, E.C., Computers & Chemical Engineering, 2003, vol. 27, p. 1329.CrossRefGoogle Scholar
  45. 45.
    Saha, B.P., Reddy, K., and Ghoshal, A.K., Chem. Engineering Journal, 2008, vol. 138, p. 20.CrossRefGoogle Scholar
  46. 46.
    Kadiva, A., Taghi Sadeghi, M., Sotudeh-Gharebagh, R., and Mahmudi, M., Chem. Engineering & Technology, 2009, vol. 32, p. 1588.CrossRefGoogle Scholar
  47. 47.
    Feng, G., Li, F., Li, H., et al., Chem. Engineering & Technology, 2006, vol. 29, p. 740.CrossRefGoogle Scholar
  48. 48.
    Webe, L., Current Opinion in Chemical Biology, 1998, vol. 2, p. 381.CrossRefGoogle Scholar
  49. 49.
    Dhurjati, P. and Mahadevan, R., Can. J. Chem. Eng., 2008, vol. 86, p. 127.CrossRefGoogle Scholar
  50. 50.
    Gonzalez, G. and Middea, A., Colloids and Surfaces, 1988, vol. 33, p. 217.CrossRefGoogle Scholar
  51. 51.
    Kokal, S., Tang, T., Schramm, L., and Sayegh, S., Colloids and Surfaces A, 1995, vol. 94, p. 253.CrossRefGoogle Scholar
  52. 52.
    Acevedo, S., Ranaudo, M.A., Escobar, G., et al., Fuel, 1995, vol. 74, p. 595.CrossRefGoogle Scholar
  53. 53.
    Marczewski, A.W. and Szymula, M., Colloids and Surfaces A, 2002, vol. 208, p. 259.CrossRefGoogle Scholar
  54. 54.
    Szymula, M. and Marczewski, A.W., Appl. Surf. Sci., 2002, vol. 196, p. 301.CrossRefGoogle Scholar
  55. 55.
    Hannisdal, A., Ese, M.H., Hemmingsen, P.V., and Sjöblom, J., Colloids and Surfaces A, 2006, vol. 276, p. 45.CrossRefGoogle Scholar
  56. 56.
    Dudasova, D., Simon, S., Hemmingsen, P.V., Sjoblom, J., Colloids and Surfaces A, 2008, vol. 317, p. 1.CrossRefGoogle Scholar
  57. 57.
    Rudrake, A., Karan, K., and Horton, J.H., Colloid and Interface Sci., 2009, vol. 332, p. 22.CrossRefGoogle Scholar
  58. 58.
    Syunyaev, R.Z., Balabin, R.M., Akhatov, I.S., and Safieva, J.O., Energy Fuels, 2009, vol. 23, p. 1230.CrossRefGoogle Scholar
  59. 59.
    Mendoza dela Cruz, J.L., Castellanos-Ramirez, I.V., Ortiz-Tapia, A., et al., Colloids and Surfaces A, 2009, vol. 340, p. 149.CrossRefGoogle Scholar
  60. 60.
    Bawn, C.E.H., J. Am. Chem. Soc., 1932, vol. 54, p. 72.CrossRefGoogle Scholar
  61. 61.
    Harter, R.D. and Baker, D.E., Soil Sci. Soc. Am. J., 1977, vol. 41, p. 1077.CrossRefGoogle Scholar
  62. 62.
    Sohn, S. and Kim, D., Chemosphere, 2005, vol. 58, p. 115.CrossRefGoogle Scholar
  63. 63.
    Kinniburgh, D.G., Environ. Sci. Tech., 1986, vol. 20, p. 895.CrossRefGoogle Scholar
  64. 64.
    Longhinotti, E., Pozza, F., Furlan, L., et al., J. Braz. Chem. Soc., 1998, vol. 9, p. 435.CrossRefGoogle Scholar
  65. 65.
    Michalewicz, Z., Genetic Algorithms + Data Structures = Evolution Programs, N.Y.: Springer-Verlag, 1996.CrossRefGoogle Scholar
  66. 66.
    Koza, J.R., Genetic Programming, Cambridge: MIT Press, 1992.Google Scholar
  67. 67.
    Sivanandam, S.N. and Deepa, S.N., Introduction to Genetic Algorithms, Berlin: Springer-Verlag, 2008.Google Scholar
  68. 68.
    Legates, D.R. and McCabe, G.J., J. Water Resour. Res., 1999, vol. 35, p. 233.CrossRefGoogle Scholar
  69. 69.
    Ho, Y.S. and Wang, C.C., Proc. Biochem., 2004, vol. 39, p. 761.CrossRefGoogle Scholar
  70. 70.
    Castillo, J., Fernandez, A., Ranaudo, M.A., and Acevedo, S., Petrol. Sci. Technol., 2001, vol. 19, p. 75.CrossRefGoogle Scholar

Copyright information

© Pleiades Publishing, Ltd. 2013

Authors and Affiliations

  1. 1.Department of Chemical EngineeringAmirkabir University of Technology (Tehran polytechnic)TehranIran
  2. 2.Department of Chemical EngineeringTarbiat Modares UniversityTehranIran

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