Proceedings of the 7th International Conference on Gas Hydrates (ICGH 2011), Edinburgh, Scotland, United Kingdom, July 17-21, 2011. MEASUREMENT OF EQUILIBRIUM DATA AND ESTIMATION OF METHANE HYDRATE CONDITIONS IN THE PRESENCE OF THERMODYNAMIC MIXED-INHIBITORS Seyed Mojtaba Hoseini Nasab,1 Mohsen Vafaei Sefti 2, Amir Abbas Izadpanah 3 1, 2-Department of chemical engineerin, Tarbiat Modares University, Tehran, Iran 3- Department of chemical engineerin, Persian Gulf University, Bushehr, Iran ABSTRACT Obtaining equilibrium precise condition of hydrate formation is very essential for main component of natural gas in presence of thermodynamic inhibitors in order to evaluating of those in hydrate formation prevention, determining concentration of required inhibitor, developing and validating of thermodynamic models and another tools or methods of prediction of hydrate formation condition and also for designing of processing equipment and operation units in oil and gas industry. So in this paper, new equilibrium data has been measured for methane hydrate in the presence of three mixed inhibitors for various concentrations using constant volume method. Measured equilibrium data has been reported for hydrate methane in the presence of three mixed inhibitors: NaCl + DEG, NaCl + TEG and MeOH + TEG. Thermodynamic model of Heriot-Watt University (HWHYD) has been applied for estimating the measured equilibrium data and good agreement between measured data and predicted data observed. Keywords: Hydarte Formation Condition, Equilibrium Data, Thermodynamics Mixed Inhibitor, HWHYD Model INTRODUCTION Gas hydrates are a group of nonstoichiometric, icelike crystalline compounds formed through a combination of water and suitably sized “guest” molecules under low temperatures and high pressures. In the hydrate lattice, water molecules form hydrogen-bonded cagelike structures, encapsulating the guest molecules, which generally consist of low molecular diameter gases and organic compounds. A concise review of gas hydrates is given elsewhere [1,2]. Conditions of high fluid pressure and low temperature as well as presence of water leading to gas hydrate formation may be found in oil and gas production, transportation, and processing facilities. Formation of gas hydrates can lead to serious operational, economic, and safety problems in petroleum industry due to potential blockage of oil and gas equipment. Organic inhibitors, such as alcohols and glycols, are normally used to inhibit gas hydrate formation. The presence of inhibitors normally reduces activity of water in aqueous phase, which shifts hydrate phase boundaries to high pressures/low temperatures [1]. Reliable gas hydrate equilibrium data for natural gas main components in the presence/absence of inhibitors are necessary to develop and validate thermodynamic models for predicting hydrate phase boundaries of natural gases in the presence/ absence of inhibitors. In this work, the hydrate dissociation data have been measured for methane in the presence of three mixed inhibitors such as MeOH + TEG , DEG + NaCl and TEG + NaCl aqueous solutions. The experimental hydrate dissociation data measured in this work are compared with the predictions of a general correlation [3] and a thermodynamic model (HWHTD Model) [4, 5, 6] and acceptable agreements between the experimental and the predicted data are found. 2. Experimental 2.1Experimental apparatus and materials The experiments were done at a self-designed hydrate formation system which consists of a reactor, a shell for heat transfer and a data acquisition system. A schematic diagram of the experimental apparatus used in this work is shown in Figure 1.Hydrate formation reactor was made by a inch Schedule No. 80, stainless steel 316 pipe. At the two ends of this pipe a pressure transmitter and a thermometer was installed. The volume of reactor was 120 cc. In order to heat and cool the system, the hydrate formation reactor was converted to shell and tube by a poly ethylene shell. The cell pressure was measured using a Druck PTX1400 pressure transmitter (0–10MPa) with accuracy of about ±0.25% of the scale (i.e. 25 kPa). temperature bath was turned on, mixing was started and now data collection starts. The traditional method of measuring hydrate equilibrium consists of monitoring the pressure and temperature in a hydrate bearing system and identifying equilibrium at the conditions where the last hydrate crystal in the system dissociates. This procedure is illustrated in Fig. 2, which shows the typical pressuretemperature trace produced during a hydrate equilibrium measurement. Figure 1: Schematic of the experimental apparatus The temperature was measured using PT100 thermometers with an accuracy of ±0.1 K. The signals of pressure and temperature were acquired by a data acquisition system driven by a personal computer. The cell pressure and temperature data from acquisition system were saved at preset sampling intervals on a computer hard disk. The temperature of the reactor is controlled by the flow of an ethanol–water solution by an external circulating temperature bath through the shell. A Lauda RE 210 temperature bath was used to control the temperature of the cooling fluid. The reactor is mounted on a pivot and mixing is obtained by rocking the cell [7]. The methane having a high (nominal) purity of 99.999% supplied by Air products and carbon dioxide with 99.9% was used. Methanol was supplied by Merck and the Distilled water was also used. 2.2 Experimental procedure The hydrate equilibrium conditions were measured with the batch, constant volume procedure. The hydrate formation reactor was firstly evacuated. The 30 cc of mercury and 40 cc of distilled water were charged to the reactor. The reactor was then pressurized to the experimental pressure. The constant Figure 2: Determination of the hydrate dissociation point by the intersection of cooling and heating curves Following Fig. 2, the experimental procedure can be explained as follows. Over segment A of Fig. 2 the system was isometrically cooled. This linear segment was produced from a hydrate-free system. The system was sub-cooled well past the hydrate formation conditions. Segment B shows the characteristic pressure drop associated with exothermic formation of the hydrate phase. Subsequently, the temperature was slowly decreased to form the hydrate. Hydrate formation in the vessel was detected by a pressure drop. Once the hydrate phase formed, the system was heated stepwise along segment C until the pressure-temperature trace coincided with segment A, a hydrate free system, and the last hydrate dissociated. If the temperature is increased in the hydrate-forming region, hydrate crystals partially dissociate, thereby substantially increasing the pressure. If the temperature is increased outside the hydrate region, only a smaller increase in the pressure is observed as a result of the change in the phase equilibria of the fluids in the vessel (see fig.2) [8]. During the stepwise heating of the system sufficient time (2-6 hours) should be given at each temperature step to ensure equilibrium. Consequently, the point at which the slope of pressure-temperature data plots changes sharply is considered to be the point at which all hydrate crystals have dissociated and hence as the dissociation point. Therefore, the hydrate equilibrium point was assumed to occur at the conditions at which segment C meet segment [9, 10, 11, 12]. For evaluating the hydrate equilibrium curve under a wide temperature range, this procedure can be repeated with different initial pressures. 3. Results and Discussions To validate the apparatus, equilibrium conditions were obtained for CO2 hydrates in pure water and compared against data already available in the literature. Also, for two data the reproducibility test were done. The data obtained using our apparatus along with some selected experimental data from the literature are plotted in Figure 3. Experimental dissociation data for methane hydrate in the presence MeOH5TEG5 aqueous solution HDT* (k) 270.034 270.305 273.344 275.325 276.482 solution) Table 1 278.461 279.936 280.346 282.525 --- HDP (MPa) 5.9206 6.8322 7.1499 9.3615 --- HDT: Hydrate Dissociation Temperature HDP: Hydrate Dissociation Pressure Table 2 Experimental dissociation data for methane hydrate in the presence MeOH5TEG10 aqueous solution HDT (k) 269.523 269.803 271.367 274.552 276.212 HDP (MPa) 2.645 2.812 3.153 4.329 5.166 HDT (k) 277.5 278.494 279.68 280.309 280.71 HDP (MPa) 6.19 6.663 7.321 7.89 8.376 Table 3 Experimental dissociation data for methane hydrate in the presence Na5DEG5 aqueous solution 270.562 272.375 273.913 276.104 All experimental dissociation points measured in this work are reported in Table 1 to 2 and are plotted in Figures 4 to 9. The figures also show predictions of a HWHYD thermodynamic model for estimating hydrate inhibition effects of three thermodynamics mixed inhibitors i.e. as MeOH5TEG5 (5%w MeOH + 5%wTEG), MeOH5TEG5 (5%w MeOH + 10%wTEG), Na5DEG5 (5%w NaCl + 5%w DEG), Na5DEG15 (5%w NaCl + 15%w DEG), Na5TEG5 (5%w NaCl + 5%w TEG) and Na5TEG5 (5%w NaCl + 15%w TEG). (w is mass percent of inhibitor in aqueous HDT (k) * HDT (k) Figure 3: Experimental equilibrium conditions for carbon dioxide hydrates in pure water: comparison of data obtained in this work with those in literature, vdW-P model and reproducibility test. HDP (MPa) 2.578 2.704 3.581 4.605 4.913 HDP (MPa) 3.13 3.206 3.662 4.524 HDT (k) 278.13 280.32 281.79 --- HDP (MPa) 5.427 6.918 8.056 --- Table 4 Experimental dissociation data for methane hydrate in the presence Na5DEG15 aqueous solution HDT (k) 266.982 268.518 271.125 274.024 HDP (MPa) 2.294 2.593 3.365 4.581 HDT (k) 276.528 278.136 279.049 --- HDP (MPa) 6.063 7.485 8.67 --- Table 5 Experimental dissociation data for methane hydrate in the presence Na5TEG5 aqueous solution HDT (k) 269.916 275.165 273.26 276.219 HDP (MPa) 2.31 2.98 3.31 4.61 HDT (k) 278.339 280.572 282.412 --- HDP (MPa) 5.72 7.15 8.78 --- Table 6 Experimental dissociation data for methane hydrate in the presence Na5TEG15 aqueous solution HDT (k) 267.912 271.153 273.508 HDP (MPa) 2.89 3.54 4.315 HDT (k) 275.815 277.913 279.76 HDP (MPa) 5.528 6.694 8.63 Figure 7. Experimental (this work) and predicted dissociation conditions of methane hydrates in the presence of Na5DEG15 aqueous solutions Figure 4. Experimental (this work) and predicted dissociation conditions of methane hydrates in the presence of MeOH5TEG5 aqueous solutions Figure 8. Experimental (this work) and predicted dissociation conditions of methane hydrates in the presence of Na5TEG5 aqueous solutions Figure 5. Experimental (this work) and predicted dissociation conditions of methane hydrates in the presence of MeOH5TEG15 aqueous solutions Figure 6. Experimental (this work) and predicted dissociation conditions of methane hydrates in the presence of Na5DEG5 aqueous solutions Figure 9. Experimental (this work) and predicted dissociation conditions of methane hydrates in the presence of Na5TEG15 aqueous solutions The HWHYD thermodynamic model used in this work, which is capable of predicting different scenarios of hydrate phase equilibrium. Detailed description of this model is given elsewhere [4, 5] .The HWHYD model is briefly based on the equality of fugacity concept, which uses the Valderrama modification of the Patel-Teja equation of state [13] and nondensity dependent mixing rules [14] for modeling the fluid phases, and the van der Waals and Platteeuw theory [15] for modeling the hydrate phase. As can be observed in the figures, the agreements between the experimental and predicted data are acceptable with less than 0.5 K deviations. Conclusion An experimental setup was constructed and used for measurement of hydrate equilibrium conditions. The apparatus was validated with equilibrium data on CO2 hydrates in pure water. The acceptable agreements between the experimental data measured in this work and the experimental data reported in the literature helped to confirm the reliability of the experimental technique and the data generated in this work. Experimental dissociation data methane simple hydrates in the presence of three mixed inhibitors: Nacl + DEG, Nacl + TEG and MeOH + TEG aqueous solutions at various temperature ranges were reported in this work. A constant volume method was used for performing all the measurements. All the experimental data were compared with the predictions a thermodynamic model (HWHYD model) and acceptable agreements were found between experimental and predicted data. REFERENCES [1] Sloan, E.D., Clathrate Hydrates of Natural Gases, New York, Marcel Dekker Inc, 2008. [2] Englezos, P.; Huang, Z.; Bishnoi, P. R., Prediction of Natural Gas Hydrate Formation Conditions in the Presence of Methanol Using the Trebble-Bishnoi Equation of State. J. Can. Pet. Technol, (1991), 30, 148-154. [3] Østergaard, K. K.; Masoudi, R.; Tohidi, B.; Danesh, A.; Todd, A. C., x A general correlation for predicting the suppression of hydrate dissociation temperature in the presence of thermodynamic inhibitors. J. Pet. Sci. 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