Determination of Minimum Miscibility Pressure Using PVTi Software, Eclipse 300, and Empirical Correlations Vahid Karamnia1 and Siavash Ashoori2 1 2 M.S. Student, Department of Petroleum Engineering, Omidiyeh Branch, Isla Associate Professor, Department of Petroleum Engineering, Ahwaz Faculty of Petroleum Received: October 15, 2020; Revised: January 28, 2021; Accepted: February 03, 2021 Abstract One of the most important factors in the miscible gas injection process is to determine the minimum miscibility pressure (MMP). The MMP is the minimum pressure at which, at a constant temperature, the oil and gas injected can dissolve into each other to form a single phase. Laboratory methods like the slim tube test and the ascending bubble apparatus test are widely utilized but are time-consuming and expensive. This study determines the MMP of reservoirs using PVTi software, Eclipse 300 software, and empirical correlations, comparing results with laboratory data. Eclipse 300 proved to be the fastest and most accurate approach. Keywords: Empirical Correlations, First-contact Miscibility (FCM), Gas Injection, Multi-Contact Miscibility (MCM), Simulation 1 Introduction Due to the decline in reservoir pressure from primary production, secondary and tertiary production methods, such as miscible gas injection, are critical for enhanced oil recovery. The displacement efficiency in gas injection depends heavily on pressure, specifically the minimum miscibility pressure (MMP), where oil recovery increases significantly. Laboratory tests like the slim tube test are accurate but costly, prompting the use of computational methods. This study evaluates PVTi, Eclipse 300, and empirical correlations to determine MMP, comparing results with experimental data to identify the most accurate method. 2 Theoretical Section 2.1 Experimental Data Laboratory data from ? ] were used, focusing on four reservoir fluids (F2, F3, F4, F5). The slim tube test was simulated using commercial software. 1 2.2 Test Fluids Table 1 summarizes the molar compositions of the reservoir fluids. Table 1: Experimental components of the oil reservoirs. Components F2 (%) F3 (%) F4 (%) F5 (%) H2 S N2 CO2 C1 C2 C3 iC4 nC4 iC5 nC5 C6 C7 C8 C9 C10 C11 C12 C13 C14 C15 C16 C17 C18 C19 C20+ MWC20+ (g/mol) SGC7+ 0 0.2 1.34 23.64 8.56 6.68 1.25 4.05 1.78 2.67 4.03 4.57 4.28 3.88 2.93 3.15 3.19 3.05 1.16 1.98 1.72 1.6 1.16 1.1 12.03 530 0.9493 0 0.45 1.64 45.85 7.15 6.74 0.84 3.11 1.03 1.65 2.52 3.77 4.28 2.7 1.69 1.81 1.47 1.45 1.28 1.15 0.91 0.82 0.8 0.71 6.18 474 0.9253 0 0.35 3.14 54.26 8.57 5.72 0.76 2.45 0.75 1.2 1.53 2.6 3.02 1.2 1.74 1.36 1.1 1.11 0.95 0.86 0.68 0.6 0.56 0.51 4.08 418 0.905 0.383 0.45 2.07 26.576 7.894 6.73 1.485 3.899 1.937 2.505 3.351 4.311 4.133 3.051 2.033 2.635 2.285 2.364 2.038 1.752 1.589 1.492 1.263 0.812 12.962 450 0.956 2.3 Specifications of Slim Tube Apparatus The slim tube had a length of 10 m, an inner diameter of 0.635 cm, a porosity of 38%, and a permeability of 2000 mD. Gas was injected at 10 cc/h. 2.4 Experimental Procedures The slim tube was saturated with reservoir oil, and gas was injected at various pressures. Oil recovery and gas-to-oil ratio were measured after injecting 1.2 pore volumes. The MMP was identified as the pressure at the break point in the recovery vs. pressure curve. 2 2.5 Modeling with Commercial Software PVTi software was used to model fluid properties using the Peng-Robinson equation of state. Regression adjusted parameters (ΩA , ΩB , Pc , Tc ) to match laboratory data. 3 Results and Discussion 3.1 Regression Results Figures 1–7 (not reproduced here) showed adjustments between calculated and experimental data for relative volume, oil density, gas-to-oil ratio, and compressibility. 3.2 Determining MMP with Software PVTi calculated first-contact miscibility (FCM) and multi-contact miscibility (MCM) pressures (Table 2). Table 2: MMP results by PVTi software. Reservoir FCM (bar) F2 F3 F4 F5 551.1 665.2 594.5 460.0 MCM (bar) 340.4 430.9 380.1 280.8 3.3 Simulation with Eclipse 300 A 1D slim tube model was simulated at various pressures with 100, 200, and 500 blocks. Recovery factors were extrapolated to infinite blocks to correct dispersion, and MMP was determined from the recovery vs. pressure plot (Tables 3–6). Table 3: Recovery factors for F2 (gas G2). P (bar) 100 grids 200 grids 500 grids 80 110 140 170 200 230 260 290 320 58.87 65.45 72.25 79.95 86.14 91.35 94.73 96.73 98.47 59.25 66.25 73.68 80.89 87.74 92.75 96.65 98.41 99.21 3 59.78 66.98 74.29 81.67 88.42 93.87 98.23 99.21 99.63 Infinite grids 60.15 67.16 75.61 82.18 89.71 95.82 99.92 100.68 100.25 Table 4: Recovery factors for F3 (gas G3). P (bar) 100 grids 200 grids 500 grids 240 270 300 330 360 390 420 450 480 69.26 75.56 80.23 87.85 90.05 93.23 96.81 98.27 98.62 69.87 76.06 80.97 88.87 91.09 94.47 97.95 98.89 99.05 70.11 76.49 81.68 89.90 92.23 95.61 99.14 99.58 99.49 Infinite grids 70.73 77.20 82.99 91.43 93.75 97.56 99.95 100.16 100.12 Table 5: Recovery factors for F4 (gas G4). P (bar) 100 grids 200 grids 500 grids 240 270 300 330 360 390 420 60.37 68.58 75.65 83.16 88.52 94.36 97.73 60.75 69.05 76.15 83.96 89.15 95.63 98.69 61.15 69.45 76.57 84.53 89.75 96.54 99.41 Infinite grids 61.70 69.85 77.35 85.35 90.85 98.25 100.02 3.4 Empirical Correlations Empirical correlations for light gases and nitrogen (e.g., ? ], ? ]) and for pure/impure CO2 were evaluated. Results are shown in Table 7. 3.5 Error Calculation The mean absolute error was calculated using: P 1 X MMPM i − MMPi × 100 n i=1 MMPM i n Mean absolute error = Results are shown in Table 8. 4 Conclusions Eclipse 300 was the most accurate and cost-effective method for MMP determination, with errors below 3%. Among empirical correlations, ? ] was accurate for high methane content, and ? ] was reliable for CO2 injection. 4 Table 6: Recovery factors for F5 (gas G5). P (bar) 100 grids 200 grids 500 grids 250 280 320 350 380 410 440 82.49 85.41 88.45 91.16 93.95 96.16 97.15 83.67 86.65 89.75 92.85 95.45 97.15 97.69 Infinite grids 84.47 88.15 91.34 94.63 97.41 98.48 98.81 86.19 90.31 93.85 97.41 99.97 100.45 100.24 Table 7: MMP results using different methods. Reservoir Experimental (bar) F2 F3 F4 F5 235 376 379 366 Firoozabadi (bar) Hudgins (bar) Eclipse 300 (bar) PVTi (bar) 370.88 379.31 354.1 367.98 309.57 312.23 303.94 308.61 240 385 386 369 340.35 430.94 360.19 280.78 Table 8: Mean absolute error of different methods. Reservoir Firoozabadi (%) Hudgins (%) Eclipse 300 (%) PVTi (%) F2 F3 F4 F5 57.82 0.88 0.07 0.54 31.73 16.96 19.8 15.68 5 2.13 2.39 2.64 0.82 44.82 14.61 4.96 23.28