Calculation of diffusion coefficients for aqueous organic species at temperatures from 0 to 350 °C

https://doi.org/10.1016/0016-7037(91)90052-7Get rights and content

Abstract

Evaluation of hydrocarbon transport through the pore spaces of saturated rock in the subsurface as a function of time and distance requires accurate values of diffusion coefficients for aqueous organic species. Analysis of aqueous tracer diffusion coefficients (D0) for normal alkanes, alcohols, amides, carboxylic acids, alkylbenzenes, and alkylnaphthalenes reported in the literature indicates that diffusional activation energies decrease with increasing temperature, reaching a constant limiting value of ~3300 cal mol−1 at temperatures a: 1̆00°C. This observation is consistent with the modified Arrhenius expression reported by Oelkers and Helgeson (1988). The Kirkwood-Riseman equation is used to predict D0 values as a function of the polymer chain length of hydrocarbons. Regression of experimental D0 data with a combined expression of the Kirkwood-Riseman and modified Arrhenius equations yields parameters which permit calculation of tracer diffusion coefficients for over 50 aqueous organic species at temperatures from 0° to 350°C and Psat. (psat refers to pressures corresponding to the liquid-vapor equilibrium curve for H2O at temperatures greater than 100°C and 1 bar at lower temperatures.) Resulting values of D0 permit evaluation of the extent of diffusional mass transfer in both contaminated near-surface environments and in the porewater adjoining oil field reservoirs. The computed tracer diffusion coefficients, which are qualitatively similar to D0 values previously calculated for aqueous ions, increase substantially with increasing temperature. For example, the tracer diffusion coefficient of aqueous toluene increases from 0.36 to 27.1 × 10−5 cm2sec−1 in response to increasing temperature from 0 to 350°C.

References (88)

  • M Adam et al.

    Dynamical properties of polymer solutions in good solvent by Rayleigh scattering experiments

    Macromolecules

    (1977)
  • A Akgerman et al.

    Predicting gas-liquid diffusivities

    J. Chem. Eng. Data

    (1972)
  • W.J Alberty et al.

    Diffusion coefficients of carboxylic acids

    Trans. Faraday Soc.

    (1967)
  • D.K Anderson et al.

    Mutual diffusion in non-ideal binary mixtures

    J. Phys. Chem.

    (1958)
  • J.H Arnold

    Studies in diffusion II. A kinetic theory of diffusion in liquid systems

    J. Amer. Chem. Soc.

    (1930)
  • C Barker

    Primary migration: The importance of water-mineral organic interactions in the source rock

  • D.E Bidstrup et al.

    Aqueous molecular diffusivities of carboxylic acids

    J. Chem. Eng. Data

    (1963)
  • L Bonoli et al.

    Diffusion of aromatic and cycloparaffin hydrocarbons in water from 2 to 60°

    J. Phys. Chem.

    (1968)
  • J Bulicka et al.

    Diffusion coefficients in some ternary systems

    J. Chem. Eng. Data

    (1976)
  • C.H Byers et al.

    Liquid diffusivities in the Glycol-water system

    J. Phys. Chem.

    (1966)
  • A.J Easteal et al.

    Pressure and temperature dependence of tracer diffusion coefficients of methanol, ethanol, acetonitrile and formamide in water

    J. Phys. Chem.

    (1985)
  • C.J.C Edwards et al.

    Kirkwood-Riseman interpretation of the diffusion behavior of short polymer chains in dilute solution

    Macromolecules

    (1981)
  • H Ertl et al.

    Liquid diffusion of nonelectrolytes

    AIChE J.

    (1974)
  • H Eyring

    Plasticity and diffusion as examples of absolute reaction rates

    J. Chem. Phys.

    (1936)
  • D.D Frey et al.

    Diffusion coefficients of acetates in aqueous sucrose solutions

    J. Chem. Eng. Data

    (1982)
  • C.M Gary-Bobo et al.

    Diffusion of alcohols and amides in water from 4 to 37

    J. Phys. Chem.

    (1969)
  • R.K Ghai et al.

    Liquid diffusion of nonelectrolytes

    Part I. AIChE J.

    (1973)
  • R.W Gillham et al.

    Transport, distribution and fate of volatile organic compounds in groundwater

  • W Hayduk et al.

    Prediction of diffusion coefficients for non-electrolytes in dilute aqueous solutions

    AIChE J.

    (1974)
  • H.C Helgeson

    Organic/inorganic reactions in metamorphic processes

  • D.M Himmelblau

    Diffusion of dissolved gases in liquids

    Chem. Rev.

    (1964)
  • J.M Hunt

    Petroleum Geochemistry and Geology

    (1979)
  • A Huq et al.

    Diffusion coefficient of ethylene gas in water

    J. Chem. Eng. Data

    (1968)
  • E.M Ilgenfritz et al.

    Mobility and effects of linear clays on fluorobenzene tracer and leachate

    Groundwater

    (1988)
  • International Critical Tables

    Coefficients of Diffusion in Liquids, V

  • B Jähne et al.

    Measurement of the diffusion coefficients of sparingly soluble gases in water

    J. Geophys. Res.

    (1987)
  • W Jost

    Diffusion in Solids, Liquids and Gases

    (1960)
  • F.J Kelly et al.

    Some transport properties of aqueous pentaerthrol solutions at 25°C

    J. Phys. Chem.

    (1960)
  • K Kircher et al.

    Binary diffusion coefficients of alcohol water mixtures at higher temperatures by a diaphragm cell method

  • J.G Kirkwood

    The general theory of irreversible processes in solutions of macromolecules

    J. Polymer Sci.

    (1954)
  • J.G Kirkwood et al.

    The intrinsic viscosities and diffusion constants of flexible macromolecules in solution

    J. Chem. Phys.

    (1948)
  • B.M Kroos et al.

    Experimental measurements of diffusion parameters of light hydrocarbons in water-saturated sedimentary rocks—II. Results and geochemical significance.

    Org. Geochem.

    (1988)
  • B.M Kroos et al.

    Experimental measurements of the diffusion parameters of light hydrocarbons in water-saturated sedimentary rocks—I. A new experimental procedure

    Org. Geochem.

    (1987)
  • H Lemonde

    Interpretation of diffusion and viscosity curves in binary mixtures

    Compt. Rend. Seane. Acad. Sci., Paris

    (1936)
  • Cited by (49)

    • External electric field promotes ammonia stripping from wastewater

      2021, Water Research
      Citation Excerpt :

      The kinetic energy associated with the rotational, vibrational, and translational motions of molecules dominates the molecular diffusion in the aqueous solution (Evans and Evans, 1984; Murad, 2011; Luca et al., 2013; Sowlati-Hashjin and Matta, 2013). Heat increases the kinetic energy to promote molecular diffusion (Oelkers, 1991). In control without an electric field, the ammonia removal in the stripping process was very slow at pH of 10.5, temperature of 22 °C, and air supply of 1 L/min, at only 14.6 % for 180 minutes (Fig. 2a).

    View all citing articles on Scopus
    View full text