4th World Conference on Applied Sciences, Engineering & Technology 24-26 October 2015, Kumamoto University, Japan Experimental study and numerical simulation of methane solubility in crude oil for gas injection enhanced oil recovery MOHAMMAD REZA GHULAMI, KYURO SASAKI, YUICHI SUGAI Department of Earth Resources Engineering, Graduate School of Engineering, Kyushu University, Japan Email: [email protected], [email protected], [email protected] Abstract: Gas injection enhanced oil recovery has long been used in petroleum industry to increase oil recovery factor. Carbon dioxide, nitrogen, flue gas and lean hydrocarbon gases were all being utilized as displacing agents. The oil swelling is an indicator of amount of gas dissolved into oil phase. Swelled oil has lower viscosity and flows more easily, then it improves recovery factor. In current study, a crude oil sample was used for experimental investigation. Solubility of methane gas in oil and swelling factor of the oil were measured by a Pressure-Volume-Temperature apparatus and a High-Pressure-Cell equipment, respectively. Furthermore, a reservoir simulation software, CMG-WINPROP, was used to estimate the PVT properties of gasoil mixture and compare it with experimental data. It was used to calculate gas solubility and oil swelling factor, and also tune the equation of state with experimental data. Experimental result shows that the solubility of methane in oil phase and swelling factor of oil increase proportionally with pressure. Moreover, reservoir fluid phase behaviour was predicted using a tuned equation of state against experimental data. Keywords: Oil Swelling, Gas Solubility, Gas Injection EOR, Phase Behavior Introduction: Enhanced oil recovery (EOR) involves the application of external forces, and substances to manipulate chemical and physical interactions in hydrocarbon reservoirs in a manner that promotes favourable recovery conditions [1]. During the life cycle of an oil field there are different stages of recovery. Utilization of natural energy of the reservoir (primary recovery) and water or gas injection for the purpose of pressure maintenance (secondary recovery) are common in most of conventional oil fields. EOR (tertiary recovery) techniques are implemented to recover trapped oil in the reservoir after primary and secondary recovery stages. But, they can also be applied as the primary and/or secondary recovery methods where oil production rate is not favourable. There are three main EOR techniques; thermal, chemical and gas injection enhanced oil recoveries. Out of 652 EOR projects around the world from 1959 to 2010, fifty percent were thermal, chemical EOR shared ten percent, while forty percent of the projects were gas injection [1]. Injecting gas into an oil reservoir can improve the recovery through maintaining the reservoir pressure, displacing oil, or vaporising the intermediate and heavy fractions of the oil [2]. Crude oil swelling due to solvent dissolution is a wellknown phenomenon. Relative permeability of oil could be increased due to an increase in the volume of the oil. Furthermore, oil viscosity reduction is also associated with swelling effect [3-5]. The residual oil left in the reservoir after gas flooding is roughly inversely proportional to the swelling factor. Present study tends to investigate crude oil swelling effect due to solubility of lean hydrocarbon gas. For this purpose, experimental study on solubility of methane gas and oil swelling effect was conducted using an intermediate gravity crude oil. PengRobinson Equation of State (PREOS) [6] was used for calculation of vapour-liquid equilibria and verification of experimental data. Subsequently, CMG-WINPROP was used to tune the equation of state that can be used for prediction of phase behaviour of gas-oil system. Materials and Procedures: 1. Materials: Experimental measurements were carried out on a crude oil sample with physical properties as outlined in Table 1. Table 1: crude oil sample physical properties Sample ρ @ 20 C (g/cm3) API (-) Viscosity @ 20 C (cp) A-1 0.87 31 9.2 Methane (CH4) was used as displacing gas. It was supplied by Itochu Industry gas Ltd (Japan) and had a purity of 99.99%. Decane was used as a reference material. It was supplied by Junsei Chemical Co. Ltd (Japan) and had the purity of min. 95.0%. 2. Experimental Apparatus and Procedures: Solubility of injection gas in crude oil was measured using an equipment known as PVT (pressure-volumetemperature). Schematic the PVT cell is shown in Fig. 1. Gas was injected into the cell at desired pressure. Cell volume was kept constant using a mechanical piston. A pressure drop could be observed due to gas WCSET 2015053 Copyright © 2015 BASHA RESEARCH CENTRE. All rights reserved MOHAMMAD REZA GHULAMI, KYURO SASAKI, YUICHI SUGAI 3. Phase Behaviour Calculations: In order to estimate the properties of both vapour and liquid phases at each equilibrium pressure, two-phase flash calculation was carried out using PREOS. Because the effect of water on the hydrocarbon phase behaviour can be neglected in most cases [7], vapourliquid equilibria calculations were conducted by assuming only two phases, liquid and vapour. For a liquid-gas system with n components, the necessary condition for equilibrium is (1) . Figure 1: PVT analysing cell diffusion into the oil phase. When the system reaches an equilibrium state, in which pressure remains almost constant, it was assumed that the oil phase is saturated at current pressure and no more component exchange will occur between phases. At this point, the volume was changed in order to enter the second stage of vapour-liquid contact. This procedure was repeated for a number of steps. That is, the fugacity of each component i should be equal in both liquid and vapour phases. Let’s assume one mole of mixture is flashed at pressure P and temperature T into moles of liquid and moles of vapour. Total material balance for the system is, (2) Material balance for each component is given by (3) where , , and are mole fractions of component i in the mixture, liquid and vapour phases, respectively. where N shows the total number of components in the system. By considering equilibrium ratio as (5) Figure 2: High pressure cell Swelling factor of crude oil was measured using a high pressure cell (HPC) apparatus as shown in Fig. 2. Oil sample was inserted into the glass tube. The glass tube is attached to a bolt at one end and is open at the other. The glass tube was placed inside of the high pressure cell by fastening the bolt from the bottom of the apparatus. Then the displacing gas was injected at desired pressure from the top. Pressure change in the cell was recorded using a GE DPI 104 digital pressure gauge. Subsequently, oil volume change was optically measured through the observation window on the side of the equipment. This procedure was repeated for a number of steps. At each equilibrium pressure, saturation pressure and volume of the oil was measured and thereby swelling factor of the oil was calculated. Table 2 gives the upper bound of operating conditions of both high pressure apparatus and PVT cell. Table 2: Properties of experimental apparatus Parameter HPC PVT P, MPa 7.5 70 T, oC 150 200 V, ml 50 360 Substituting equilibrium ratio into Eq. (3), and solving for and using Eq. (2) results in, Calculation procedure of phase properties of equilibrated phases is shown in Fig. 3. First estimation of equilibrium ratio ( was made using the Wilson’s equation [8] expressed as Eq. (8). where and are critical pressure and temperature of component i, respectively, P and T experimental pressure and temperature, and is the acentric factor of component i. Then using Eq. (6) and (7) mole fraction of each component in liquid and vapour phases were calculated. To describe the gas-liquid mixture Peng-Robinson equation of state was used. The general formulation of PREOS is given by Eq. (9). Proceedings of the 4th World Conference on Applied Sciences, Engineering and Technology 24-26 October 2015, Kumamoto University, Japan, ISBN 13: 978-81-930222-1-4, pp 209-212 Experimental study and numerical simulation of methane solubility in crude oil for gas injection enhanced oil recovery reservoir fluids, it is common to encounter such defects by tuning the EOS against experimental data. Where for mixtures, (12) (14) (15) and PREOS in terms of the compressibility factor Z can be formulated as follows, Figure 3: Calculation procedure Fugacity coefficient is defined as the ratio of fugacity to pressure, Where (22) (18) (19) Eq. (17) can be solved to find compressibility factor of liquid and vapour phases at equilibrium condition. Consequently, fugacity coefficient of component i in each phase can be computed using Eq. (20). 4. Results and Discussion: Due to availability of experimental data on solubility of methane in pure hydrocarbons, in this study decane was used as a reference fluid. Solubility of methane in decane and crude oil were measured at various temperatures and different initial conditions. Figure 4. shows the measured values of gas mole fraction in liquid phase for methane and decane mixture at various temperatures. Where (21) Rearranging Eq. (23) the fugacity of component i in each phase could be calculated. When fugacity of component i in vapour and liquid phases converges, it is concluded that calculated phase properties are representative of properties of equilibrated phases. And if fugacity does not converge, should be refined and calculation be repeated until fugacity difference is smaller than an error margin value. By following this procedure molar fraction, molar volume, and number of moles of component i in liquid and vapour phases could be obtained. Figure 4: Mole fraction of dissolved methane in ndecane at 310.9 K: (□) this work, (○) Srivastan et al (■) WINPROP, at 344.3 K: (Δ) this work Real reservoir fluids are composed of thousands of compounds. An equation of state represents the reservoir fluid using a limited number of components, generally, a combination of pure fluids. Because of deficiencies of EOS in predicting phase behaviour of It was observed that the result of this work and WINPROP estimation of solubility are in close agreement with available literature data [9]. So, the same procedure was used for calculation of methane solubility in the crude oil. Proceedings of the 4th World Conference on Applied Sciences, Engineering and Technology 24-26 October 2015, Kumamoto University, Japan, ISBN 13: 978-81-930222-1-4, pp 209-212 MOHAMMAD REZA GHULAMI, KYURO SASAKI, YUICHI SUGAI Figure 5. and 6. show swelling factor of oil and methane gas solubility, respectively. WINPROP estimation of solubility and swelling factor diverge from experimental value. To address this issue, regression procedure of Agarwal et al. [10] was used in WINPROP to tune the EOS. Different parameters were regressed to tune the EOS. A combination of critical pressure (Pc) and acentric factor (ω) represented the best possible match with experimental result. Tuned equation of state resulting from regression of Pc and ω was then used to estimate methane solubility in Figure 5: oil swelling factor at 296 K: (Δ) winprop, (▲) experiment. Regression parameters: (○) acentric factor (ω), (□) critical pressure (Pc), (▬) Pc and ωcrude oil. Estimated properties of gas-oil system were in close agreement with experimental data after calibration procedure. Figure 6: Mole fraction of dissolved methane at 296 K: (Δ) before tuning, (■) experiment, (▬) after tuning Gas dissolution increases when oil is undersaturated or the pressure is increased as a result of gas injection. Viscosity of oil decreases due to dissolution of gas. Dissolved gas can enhance mobility of oil. These phenomena can increase the efficiency of a gas/oil displacement process [11]. Conclusion: In this research, experiments to measure gas solubility and oil swelling factor were carried out. Calculated values of phase properties by CMG-WINPROP were matched to experimental data. Followings are summarized: a. b. c. Dissolution of CH4 gas in crude oil and oil swelling effect are almost proportional to pressure, in pressures less than 10 MPa. To acquire acceptable prediction of CH4 solubility and oil swelling factor using an EOS, it was necessary to tune the EOS against experimental data. Using critical pressure and acentric factor of the crude oil as regression parameters for CMGWINPROP, produced reasonable calculation results matching with experimental data. References: [1] Adasani A., Bai B., (2011) “Analysis of EOR Projects and Updated Screening Criteria”, Journal of Petroleum Science and Engineering, Volume 79, Issues 1-2, October 2011, pp 10-24 [2] Danesh A., (1998) “PVT and Phase Behaviour of Petroleum Reservoir Fluids”, ISBN: 978-0-44482196-6 [3] Mulliken C. A., Sandier S. I., (1980) “The Prediction of CO2 Solubility and Swelling Factors for Enhanced Oil Recovery”, Ind. Eng. Chem. Process Des. Dev., 1980, 19 (4), pp 709711 [4] Tsau J. S., Bui L. H., Willhite G. P., (2010) “Swelling/Extraction Test of a Small Sample Size for Phase Behavior Study”, SPE 129728 [5] Avaullee L., Neau E., Jaubert J. N., (1997) “Thermodynamic Modeling for Petroleum Fluid III. Reservoir Fluid Saturation Pressure. A Complete PVT Property Estimation. Application to Swelling Test”, Fluid Phase Equilibria 141, pp 87-104 [6] Peng D. Y., Robinson D. B., (1976) “A New Two-Constant Equation of State”, Ind. Eng. Chem. Fundam., 15(1), pp 59-64 [7] Danesh A., (1998) “PVT and Phase Behaviour of Petroleum Reservoir Fluids”, ISBN: 978-0-44482196-6 [8] Wilson G., (1968) “A Modified Redlich-Kwong EOS, Application to General Physical Data Calculations”, Paper No. 15C, presented at the AIChE 65th National Meeting [9] Srivastan S., Darwish N. A., Gasem K. A. M., Rabinson Jr. R. L., (1992) “Solubility of Methane in Hexane, Decane, and Dodecane at Temperatures from 311 to 423 K and Pressures to 10.4 MPa”, J. Chem. Eng., 37, pp 516-520 [10] Agarwal R. K., Li Y. K., Nghiem L., (1990) "A Regression Technique with Dynamic Parameter Selection for Phase-Behavior Matching", SPE Reservoir Engineering, February 1990, pp 115120. [11] Warner Jr. H. R., Holstein E. D., (2007) “Immiscible Gas Injection In Oil Reservoirs, SPE Petroleum Engineering Handbook V”, ISBN: 9781-55563-120-8, pp 1103-1147. Proceedings of the 4th World Conference on Applied Sciences, Engineering and Technology 24-26 October 2015, Kumamoto University, Japan, ISBN 13: 978-81-930222-1-4, pp 209-212
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