J. Chem. Eng.
Data 2008, 53, 683–686                                                          683
Experimental Data and Predictions of Dissociation Conditions for Ethane and
Propane Simple Hydrates in the Presence of Methanol, Ethylene Glycol, and
Triethylene Glycol Aqueous Solutions
Amir H. Mohammadi, Waheed Afzal, and Dominique Richon*
Mines Paris, ParisTech, CEP-TEP, CNRS FRE 2861, 35 Rue Saint Honoré, 77305 Fontainebleau, France
          Experimental dissociation data for ethane and propane simple hydrates in the presence of (0.05 and 0.15)
          mass fractions of methanol, ethylene glycol, and triethylene glycol aqueous solutions are reported in this
          work. The experimental data have been measured using an isochoric method. All the experimental data are
          compared with the predictions of a general correlation (HWHYD correlation) and a thermodynamic model
          (HWHYD model). The agreements between the experimental and predicted data are generally found
          acceptable.
Introduction                                                              Table 1. Dissociation Temperature Ranges Studied in this Work for
                                                                          Ethane and Propane Simple Hydrates in the Presence of Different
   Gas hydrates are solid crystalline compounds stabilized by             Concentrations of Methanol, Ethylene Glycol, and Triethylene
the inclusion of suitably sized gas molecules inside cavities, of         Glycol Aqueous Solutions
different sizes, formed by water molecules through hydrogen                                                    mass fraction of
bonding. They resemble ice in appearance, but unlike ice, they            hydrate                                inhibitor in     hydrate dissociation
                                                                          former            inhibitor          aqueous solution   temperature range/K
may form at temperatures well above the ice point.1 Suitable
                                                                          ethane       methanol                        0.05         272.2 to 280.5
conditions for gas hydrate formation commonly occur during                                                             0.15         268.2 to 278.9
hydrocarbon production and exploration operations. Gas hydrate                         ethylene glycol                 0.05         272.7 to 281.0
formation can block pipelines and transfer lines and lead to                                                           0.15         269.7 to 279.6
serious economic, operational, and safety problems.1 Thermo-                           triethylene glycol              0.05         274.1 to 281.5
                                                                                                                       0.15         274.0 to 281.1
dynamic inhibitors, such as alcohols and glycols, are normally            propane      methanol                        0.05         272.4 to 275.3
used to inhibit gas hydrate formation, which usually reduces                                                           0.15         266.3 to 269.9
the activity of water in the aqueous phase, shifting the hydrate                       ethylene glycol                 0.05         272.9 to 275.8
phase boundaries to high pressures and/or low temperatures.1                                                           0.15         269.8 to 273.7
                                                                                       triethylene glycol              0.05         273.2 to 276.8
To develop and validate thermodynamic models and other tools                                                           0.15         273.7 and 275.0
for predicting hydrate phase boundaries of natural gases, reliable
gas hydrate equilibrium data for the main components of natural           Table 2. Purities and Suppliers of Materialsa
gases in the presence and absence of inhibitor aqueous solution                  chemical                   supplier          purity (volume fraction)
are necessary.1 Although many data have been reported for gas              ethane                   Messer Griesheim                  0.99995
hydrates of methane and carbon dioxide in the presence and                 propane                  Messer Griesheim                  0.99995
absence of methanol, ethylene glycol, and triethylene glycol               methanol                 Aldrich                           0.999
aqueous solutions, information for gas hydrates of other                   ethylene glycol          Aldrich                           0.99
                                                                           triethylene glycol       Aldrich                           0.99
components of natural gases in the presence of the above-
mentioned aqueous solutions is limited.1                                    a
                                                                                Deionized water was used in all experiments.
   In this communication, we report experimental dissociation
data for ethane and propane simple hydrates in the presence of            Experimental Section
(0.05 and 0.15) mass fractions of methanol, ethylene glycol,
and triethylene glycol aqueous solutions. The data have been                 Purities and suppliers of materials are provided in Table 2.
measured based on our previous experimental work,2 which                  A detailed description of the experimental setup used in this
takes advantage of an isochoric method.3 Table 1 summarizes               study is given elsewhere.2 Briefly, the main part of the apparatus
the experiments carried out in terms of hydrate former, inhibitor,        is a cylindrical vessel, which can withstand pressures higher
inhibitor concentration in the aqueous solution, and dissociation         than 10 MPa. The vessel has a volume of (57.5 ( 0.5) cm3
temperature ranges. The experimental hydrate dissociation data            with two sapphire windows. A magnetic stirrer ensures sufficient
measured in this work are compared with the predictions of a              agitation to facilitate reaching equilibrium. The vessel was
general correlation (HWHYD correlation)4 and a thermodynamic              immersed inside a temperature-controlled bath to maintain the
                                                                          temperatures of study. Two platinum probes (Pt100) inserted
model (HWHYD model),5 and acceptable agreements between
                                                                          into the vessel were used to measure temperature and check
the experimental and the predicted data are found.
                                                                          for equality of temperatures within temperature measurement
* Corresponding author. E-mail: richon@ensmp.fr. Tel.: +(33) 1 64 69 49   uncertainties, which is estimated to be less than 0.1 K. This
65. Fax: +(33) 1 64 69 49 68.                                             temperature uncertainty estimation comes from careful calibra-
                                     10.1021/je700527d CCC: $40.75  2008 American Chemical Society
                                                        Published on Web 02/27/2008
684 Journal of Chemical & Engineering Data, Vol. 53, No. 3, 2008
Table 3. Experimental Dissociation Data for Ethane and Propane
Simple Hydrates in the Presence of Methanol, Ethylene Glycol, and
Triethylene Glycol Aqueous Solutions (w1: Mass Fraction of
Inhibitor in Aqueous Solution)
              T/Ka                              P/MPab
          Ethane + Methanol Aqueous Solution (w1 ) 0.05)
             272.2                             0.50
             275.0                             0.72
             276.4                             0.82
             279.0                             1.19
             280.5                             1.54
          Ethane + Methanol Aqueous Solution (w1 ) 0.15)
             268.2                             0.61
             270.6                             0.82
             273.8                             1.23
             276.0                             1.75
             278.9                             2.60
          Propane + Methanol Aqueous Solution (w1 ) 0.05)
              272.4                             0.21                     Figure 1. Experimental and predicted hydrate phase boundaries of ethane
              273.6                             0.28                     in the presence of methanol aqueous solutions. Symbols, experimental data:
              274.8                             0.35                     O, ethane + methanol aqueous solution (w1 ) 0.05), this work; ∆, ethane
              275.3                             0.41                     + methanol aqueous solution (w1 ) 0.15), this work; bold solid lines,
          Propane + Methanol Aqueous Solution (w1 ) 0.15)                predictions of hydrate phase boundaries using general correlation4 for the
              266.3                             0.20                     ethane + methanol aqueous solutions systems; solid lines, predictions of
              267.5                             0.27                     hydrate phase boundaries using the thermodynamic model5 for the ethane
              268.8                             0.36                     + methanol aqueous solution systems; dashed line, prediction of ethane
              269.9                             0.42                     hydrate phase boundary in the presence of distilled water using the
                                                                         thermodynamic model5 (w1: mass fraction of inhibitor in aqueous solution).
       Ethane + Ethylene Glycol Aqueous Solution (w1 ) 0.05)             Error band: 0.5 K.
             272.7                              0.49
             274.1                              0.61
             276.3                              0.79
             278.8                              1.10
             281.0                              1.45
       Ethane + Ethylene Glycol Aqueous Solution (w1 ) 0.15)
             269.7                              0.50
             272.5                              0.70
             274.4                              0.89
             276.9                              1.19
             279.6                              1.73
      Propane + Ethylene Glycol Aqueous Solution (w1 ) 0.05)
            272.9                              0.20
            274.0                              0.27
            275.0                              0.33
            275.8                              0.40
      Propane + Ethylene Glycol Aqueous Solution (w1 ) 0.15)
            269.8                              0.20
            271.2                              0.28
            272.6                              0.40
            273.7                              0.47
      Ethane + Triethylene Glycol Aqueous Solution (w1 ) 0.05)           Figure 2. Experimental and predicted hydrate phase boundaries of propane
             274.1                               0.58                    in the presence of methanol aqueous solutions. Symbols, experimental data:
             275.3                               0.69                    O, propane + methanol aqueous solution (w1 ) 0.05), this work; ∆, propane
             277.5                               0.90                    + methanol aqueous solution (w1 ) 0.15), this work; bold solid lines,
             279.3                               1.10                    predictions of hydrate phase boundaries using the general correlation4 for
             281.5                               1.45                    the propane + methanol aqueous solutions systems; solid lines, predictions
      Ethane + Triethylene Glycol Aqueous Solution (w1 ) 0.15)           of hydrate phase boundaries using the thermodynamic model5 for the
             274.0                               0.69                    propane + methanol aqueous solution systems; dashed line, prediction of
             275.3                               0.84                    propane hydrate phase boundary in the presence of distilled water using
             277.6                               1.07                    the thermodynamic model5 (w1: mass fraction of inhibitor in aqueous
             279.9                               1.50                    solution). Error band: 0.5 K.
             281.1                               1.77
     Propane + Triethylene Glycol Aqueous Solution (w1 ) 0.05)           tion against a 25 Ω reference platinum probe. The pressure in
             273.2                              0.20                     the vessel was measured with a DRUCK pressure transducer
             274.3                              0.25
             275.5                              0.35                     (Druck, type PTX611 for pressure ranges from (0 to 8) MPa).
             276.8                              0.45                     Pressure measurement accuracies are estimated to be better than
     Propane + Triethylene Glycol Aqueous Solution (w1 ) 0.15)           5 kPa. The hydrate dissociation points were measured with an
             273.7                              0.29                     isochoric pressure search procedure.3 The vessel containing the
             275.0                              0.43                     aqueous solution (60 volume % of the vessel was filled by the
   a
     Uncertainty on temperatures through calibrated platinum probes is
                                                                         aqueous solution) was immersed into the temperature-controlled
estimated to be less than 0.1 K. b Uncertainty on pressures through      bath, and the gas was supplied from a high-pressure cylinder
calibrated pressure transducer is estimated to be less than 5 kPa.       through a pressure-regulating valve into the partially evacuated
                                                                               Journal of Chemical & Engineering Data, Vol. 53, No. 3, 2008 685
Figure 3. Experimental and predicted hydrate phase boundaries of ethane
in the presence of ethylene glycol aqueous solutions. Symbols, experimental
data: O, ethane + ethylene glycol aqueous solution (w1 ) 0.05), this work;
∆, ethane + ethylene glycol aqueous solution (w1 ) 0.15), this work; bold          Figure 5. Experimental and predicted hydrate phase boundaries of ethane
solid lines, predictions of hydrate phase boundaries using the general             in the presence of triethylene glycol aqueous solutions. Symbols, experi-
correlation4 for the ethane + ethylene glycol aqueous solution systems;            mental data: O, ethane + triethylene glycol aqueous solution (w1 ) 5), this
solid lines, predictions of hydrate phase boundaries using the thermodynamic       work; ∆, ethane + triethylene glycol aqueous solution (w1 ) 15), this work;
model5 for the ethane + ethylene glycol aqueous solution systems; dashed           bold solid lines, predictions of hydrate phase boundaries using the general
line, Prediction of the ethane hydrate phase boundary in the presence of           correlation4 for the ethane + triethylene glycol aqueous solution systems;
distilled water using the thermodynamic model5 (w1: mass fraction of               dashed line, prediction of ethane hydrate phase boundary in the presence
inhibitor in aqueous solution). Error band: 0.5 K.                                 of distilled water using the thermodynamic model5 (w1: mass fraction of
                                                                                   inhibitor in aqueous solution). Error band: 0.5 K. The predictions of the
                                                                                   thermodynamic model5 have not been shown in this figure, as this model
                                                                                   was not developed for triethylene glycol containing systems.
Figure 4. Experimental and predicted hydrate phase boundaries of propane
in the presence of ethylene glycol aqueous solutions. Symbols, experimental
data: O, propane + ethylene glycol aqueous solution (w1 ) 0.05), this work;
∆, propane + ethylene glycol aqueous solution (w1 ) 0.15), this work;
                                                                                   Figure 6. Experimental and predicted hydrate phase boundaries of propane
bold solid lines, predictions of hydrate phase boundaries using the general
                                                                                   in the presence of triethylene glycol aqueous solutions. Symbols, experi-
correlation4 for the propane + ethylene glycol aqueous solution systems;
                                                                                   mental data: O, propane + triethylene glycol aqueous solution (w1 ) 5),
solid lines, predictions of hydrate phase boundaries using the thermodynamic
                                                                                   this work; ∆, propane + triethylene glycol aqueous solution (w1 ) 15),
model5 for the propane + ethylene glycol aqueous solution systems; dashed
                                                                                   this work; bold solid lines, predictions of hydrate phase boundaries using
line, prediction of propane hydrate phase boundary in the presence of
                                                                                   the general correlation4 for the propane + triethylene glycol aqueous solution
distilled water using the thermodynamic model5 (w1: mass fraction of
                                                                                   systems; dashed line, prediction of propane hydrate phase boundary in the
inhibitor in aqueous solution). Error band: 0.5 K.
                                                                                   presence of distilled water using the thermodynamic model5 (w1: mass
                                                                                   fraction of inhibitor in aqueous solution). Error band: 0.5 K. The predictions
vessel. After getting temperature and pressure stability (far                      of the thermodynamic model5 have not been shown in this figure, as this
enough from the hydrate formation region), the valve between                       model was not developed for triethylene glycol containing systems.
the vessel and the cylinder was closed. Subsequently, the
temperature was slowly decreased to form the hydrate. Hydrate                      mental run, from which we determined the hydrate dissociation
formation in the vessel was detected by a pressure drop. The                       point. If the temperature is increased in the hydrate-forming
temperature was then increased with steps of 0.1 K. At every                       region, hydrate crystals partially dissociate, thereby substantially
temperature step, the temperature was kept constant for 4 h to                     increasing the pressure. If the temperature is increased outside
achieve a steady equilibrium state in the vessel. In this way, a                   the hydrate region, only a smaller increase in the pressure is
pressure-temperature diagram was obtained for each experi-                         observed as a result of the change in the phase equilibria of the
686 Journal of Chemical & Engineering Data, Vol. 53, No. 3, 2008
Table 4. Constants Ci in Equation 2 for Methanol, Ethylene Glycol, and Triethylene Glycol4
       inhibitor               C1                C2                   C3                      C4                    C5                    C6
   methanol                  0.478            7.17 · 10-3        -1.44 · 10-5            2.947 · 10-2          5.960 · 10-1           3.100 · 10-5
   ethylene glycol          38.93            -5.22 · 10-1         1.767 · 10-2           3.503 · 10-4          5.083 · 10-3           2.650 · 10-5
   triethylene glycol        0.1964          -5.81 · 10-3         1.393 · 10-4           2.855 · 10-2          8.540 · 10-1           3.240 · 10-5
fluids in the vessel.6 Consequently, the point at which the slope          K deviations. It should be noted that the predictions of the
of pressure-temperature data plots changes sharply is consid-              thermodynamic model5 have not been shown in Figures 5 and
ered to be the point at which all hydrate crystals have dissociated        6 as this model was not developed for triethylene glycol
and hence as the dissociation point.                                       containing systems.
Results and Discussions                                                    Summary
   All experimental dissociation points measured in this work                 Experimental dissociation data for ethane and propane simple
are reported in Table 3 and are plotted in Figures 1 to 6. A               hydrates in the presence of (0.05 and 0.15) mass fractions of
semilogarithmic scale has been used in these figures to show               methanol, ethylene glycol, and triethylene glycol aqueous
the data consistency, as the logarithm of hydrate dissociation             solutions at various temperature ranges were reported in this
pressure versus temperature has approximately linear behavior.             work. An isochoric method2,3 was used for performing all the
The figures also show predictions of a general correlation                 measurements. All the experimental data were compared with
(HWHYD correlation)4 and a thermodynamic model (HWHYD                      the predictions of a general correlation (HWHYD correlation),4
model)5 for estimating hydrate inhibition effects of methanol,             and a thermodynamic model (HWHYD model)5 and acceptable
ethylene glycol, and triethylene glycol aqueous solutions.                 agreements were found between experimental and predicted
Briefly, the following equation has been used for predicting               data.
hydrate dissociation temperature, T, of a fluid in the presence
of inhibitor from hydrate suppression temperature (or suppres-             Literature Cited
sion of hydrate dissociation temperature, ∆T)                               (1) Sloan, E. D.; Koh, C. A. Clathrate Hydrates of Natural Gases, 3rd
                                                                                ed.; CRC Press, Taylor & Francis Group: Boca Raton, 2007.
                          T ) T0 - ∆T                          (1)          (2) Afzal, W.; Mohammadi, A. H.; Richon, D. Experimental Measurements
                                                                                and Predictions of Dissociation Conditions for Carbon Dioxide and
where T0 stands for hydrate dissociation temperature of the same                Methane Hydrates in the Presence of Triethylene Glycol Aqueous
fluid system in the presence of distilled water. In the above                   Solutions. J. Chem. Eng. Data 2007, 52, 2053–2055.
equation, ∆T is calculated using the following equation (HWHYD              (3) Tohidi, B.; Burgass, R. W.; Danesh, A.; Østergaard, K. K.; Todd,
                                                                                A. C. Improving the Accuracy of Gas Hydrate Dissociation Point
correlation)4                                                                   Measurements. Ann. N.Y. Acad. Sci. 2000, 912, 924–931.
                                                                            (4) Østergaard, K. K.; Masoudi, R.; Tohidi, B.; Danesh, A.; Todd, A. C.
∆T ⁄ K ) [C1(w1 · 100) + C2(w1 · 100)2 +                                        A general correlation for predicting the suppression of hydrate
                                                                                dissociation temperature in the presence of thermodynamic inhibitors.
             C3(w1 · 100)3] · [C4 ln(P ⁄ kPa) + C5] ·                           J. Pet. Sci. Eng. 2005, 48, 70–80.
                                                                            (5) Heriot-Watt University Hydrate model: http://www.pet.hw.ac.uk/
                                [C6((P0 - 1000) ⁄ kPa) + 1] (2)                 research/hydrate/. (See also: Tohidi, B.; Burgass, R. W.; Danesh, A.;
                                                                                Todd A. C. Hydrate inhibition effect of produced water, Part 1. Ethane
where w1, P, and P0 are the mass fraction of the inhibitor in                   and propane simple gas hydrates. SPE 26701. Proc of the SPE Offshore
the aqueous phase, the pressure of the system, and the                          Europe 93 Conference; 1993; 255–264).
dissociation pressure of fluid in the presence of pure water at             (6) Ohmura, R.; Takeya, S.; Uchida, T.; Ebinuma, T. Clathrate Hydrate
273.15 K. The constants Ci are given in the original manuscript                 Formed with Methane and 2-Propanol: Confirmation of Structure II
                                                                                Hydrate Formation. Ind. Eng. Chem. Res. 2004, 43, 4964–4966.
for various inhibitors.4 These constants for methanol, ethylene             (7) Avlonitis, D. Thermodynamics of Gas Hydrate Equilibria, Ph.D Thesis,
glycol, and triethylene glycol are reported in Table 4.4 It should              Department of Petroleum Engineering, Heriot-Watt University, Ed-
be mentioned that eq 2 has “six empirically determined                          inburgh, UK, 1992.
                                                                            (8) Tohidi-Kalorazi, B. Gas Hydrate Equilibria in the Presence of
constants” and should be used with care out of its application                  Electrolyte Solutions, Ph.D Thesis, Department of Petroleum Engi-
range.                                                                          neering, Heriot-Watt University, Edinburgh, UK, 1995.
   In eq 1, T0 can be calculated at any given pressure by using             (9) Valderrama, J. O. A generalized Patel-Teja equation of state for polar
an appropriate predictive method such as the HWHYD ther-                        and nonpolar fluids and their mixtures. J. Chem. Eng. Jpn. 1990, 23,
                                                                                87–91.
modynamic model,5 which is capable of predicting different                 (10) Avlonitis, D.; Danesh, A.; Todd, A. C. Prediction of VL and VLL
scenarios in hydrate phase equilibrium calculations. A detailed                 Equilibria of Mixtures Containing Petroleum Reservoir Fluids and
description of this model is given elsewhere.7,8 The model5 is                  Methanol With a Cubic EoS. Fluid Phase Equilib. 1994, 94, 181–
                                                                                216.
briefly based on the equality of fugacity in the various phases,           (11) van der Waals, J. H.; Platteeuw, J. C. Clathrate Solutions. AdV. Chem.
which uses the Valderrama modification of the Patel-Teja                        Phys. 1959, 2, 1–57.
equation of state9 and nondensity dependent mixing rules10 for
modeling the fluid phases, and the van der Waals and Platteeuw             Received for review September 13, 2007. Accepted February 6, 2008.
theory11 is used for modeling the hydrate phase. As can be                 Waheed Afzal wishes to thank the Higher Education Commission of
observed in the figures, the agreements between the experimental           Pakistan for financial support.
and predicted data are generally acceptable with less than 0.5             JE700527D