NMR Measurement and Viscosity Evaluation of Live Bitumen Elton Yang, George J. Hirasaki Chemical Engineering Dept. Rice University April 26, 2011 Introduction & Objective The well log T2 measurements on the live bitumen appear to be significantly longer than the laboratory NMR measurements of dead bitumen sample. This is likely due to the dissolved gas in heavy oil. Saturate the bitumen sample with three reservoir gases (CO2, CH4, C2H6) at different pressure levels in laboratory. Make NMR and viscosity measurements on recombined live heavy oils. Correlate the T2, viscosity, and gas content of live bitumen and resolve the differences between the NMR log and laboratory data. Samples and Equipments Sample: Bitumen Sample #10-19 Three gases (CO2, CH4 and C2H6) used in this work are provided by Matheson Tri-Gas with product grade of Ultra High Purity. 2 MHz Maran Spectrometer (Oxford Instrument). A 40 mm probe with minimum TE = 0.2 msec was employed for all the NMR measurements on bitumen. Brookfield Viscometer LVDV-III+ (Brookfield Company) for dead oil at different temperatures . Capillary viscometer for live bitumen at room temperature. T2 Distribution of Bitumen #10-19 at Different T & Corrected T2 with Specified M0 and Lognormal Distribution Model** 4 1.5 0.2 ms 10C 10C 20C 20C 3 1 40C Amplitude f Amplitude f 30C 50C 60C 70C 30C 40C 50C 2 60C 70C 80C 0.5 80C 90C 1 90C 0 0.001 0 0.1 1 10 100 1000 10000 0.01 0.1 T2 Relaxation Time Distribution (msec) T2 after correction (msec) 10 100 T2 Relaxation Time (msec) 10 1 0.1 0.01 ** Yang and Hirasaki, JMR, 2008 1 0.01 0.1 1 T2 before correction (msec) 10 1000 10000 Correlation Between Corrected T2 and Viscosity/Temperature Ratio for Three Different Heavy Oils 10 Brookfield Oil T2 = 37.92 * (T/Visc) 0.6815 R2 = 0.9956 T2 (msec) 1 Bitumen #10-19 T2 = 4.252 * (T/Visc) 0.4493 R2 = 0.9972 0.1 Brookfield oil Athabasca bitumen Bitumen #10-19 0.01 1.E+00 1.E+01 1.E+02 1.E+03 1.E+04 Viscosity/Temperature (cP/K) T2 values are corrected by using lognormal distribution model and specified M0 Corrected T2 and viscosity/temperature ratio of three dead oil samples closely follow linear relationship on log-log scale. Data from Brookfield oil deviates from the data of two bitumen samples. Measurements on Live Heavy Oils Generation of Convection The pressure vessel was manufactured by TEMCO and was customized to fit the 40 mm probe. The minimum echo spacing = 0.2 msec. Pressurized gas was injected into the vessel from top. The gas pressure inside the vessel was monitored during the entire process. NMR measurements were performed periodically. Convection was generated by rocking the pressure vessel to boost the gas dissolving rate. After equilibrated at the highest pressure, the gas-bitumen system was depressurized to different lower pressure levels. Viscosity of live bitumen was measured and correlations between T2, viscosity, pressure and gas solubility were established. Changes of T2 and Pressure of C2H6 Dissolved Bitumen During Pressurization Stage 1.5 Dead Oil 23 hrs 120 hrs Amplitude f 141 hrs 1.0 213 hrs 308 hrs 391 hrs 429 hrs 0.5 T2 0.0 0.1 1 10 100 1000 Pressure 10 10000 560 T2 Relaxation Time Distribution (msec) T2 of bitumen (msec) 520 1 500 480 Bitumen and gas reached equilibrium after 308 hours. 0.1 460 0 100 200 300 Time (Hour) 400 500 Pressure (psia) Bi-modal for the peak of bitumen with C2H6 as C2H6 gradually transfers into bitumen. 540 Depressurization of C2H6 to Lower Pressures T2 T2 Pressure 10 390 290 Peq = 278 psia 1 T2 of bitumen (msec) 350 270 250 1 330 20 40 60 80 100 230 0 120 20 40 T2 Pressure 10 0.1 160 Time (Hour) 80 T2 of bitumen (msec) T2 of bitumen (msec) 180 60 Pressure 120 100 1 80 0.1 60 0 20 40 60 80 Time (Hour) 100 120 Pressure (psia) 1 Pressure (psia) 200 40 100 Peq = 106 psia Peq = 200 psia 20 80 10 220 0 60 Time (Hour) Time (Hour) T2 Pressure (psia) 370 Pressure (psia) T2 of bitumen (msec) Peq = 370 psia 0 Pressure 10 T2 of C2H6 Saturated Bitumen at Different Pressures 1.5 10 T2 from new interpretation (msec) Dead oil 106psia 200psia 1.0 Amplitude f 278psia 370psia 475psia 0.5 1 0.1 0.0 0.1 1 10 100 1000 T2 Relaxation Time Distribution (msec) 10000 0.1 1 10 T2 from regular interpretation (msec) The dissolving of C2H6 in Bitumen significantly changes oil T2. The T2 of C2H6 saturated bitumen decreases as equilibrated pressure decreases. The bitumen peak is broad and has fast relaxing components shorter than TE even at the highest saturation pressure. T2 from regular interpretation > T2 from lognormal distribution model with specified M0. The difference decreases as saturation pressure increases. Corrected Initial Pressures at Different Pressure Levels for Solubility Calculation (Example: C2H6-Bitumen) 540 280 380 530 y = -0.5612x + 519.8 R² = 0.9119 520 360 Pressure (psia) Pressure (psia) Pressure (psia) 370 y = 3.2532x + 358.2 R² = 0.9752 350 340 0 1 2 Peq = 278 psia 250 0 3 y = 3.8106x + 261.8 R² = 0.9614 260 Peq = 370 psia 330 510 270 1 2 3 0 4 1 Time (Hour) 2 3 Time (Hour) Time (Hour) 110 200 Pressure (psia) System would be either heated by pressurization or cooled by depressurization temporarily, and then return to the temperature of air bath (30 oC). Pressure (psia) Pressurization Stage 190 y = 2.3371x + 187.32 R² = 0.9611 180 100 y = 3.6265x + 90.548 R² = 0.9827 90 Peq = 200 psia Significant pressure change resulting from the temperature fluctuation would display incorrect P0 for the solubility calculations. Extrapolation is employed to remove the temperature effect on the initial pressure reading. Peq = 106 psia 80 170 0 1 2 3 4 0 1 2 Time (Hour) Time (Hour) Depressurization Stage 3 4 Summary for Live Bitumen with Different Gases 1000 0.1369e0.0065x y= R² = 0.9984 C2 H6 y = 0.2064e0.0027x R² = 0.9887 CO 2 1 CH4 y = 0.2367e0.0006x R² = 0.9775 0.1 Pressure at Equilibrium (pisa) T2 of Live Bitumen (msec) 10 CH4 y = 2225704x R² = 0.9818 800 CO2 600 y = 330684x R² = 0.6347 C2H6 400 y = 286359x R² = 0.9826 200 0 0 200 400 600 800 1000 Pressure (psia) 0.E+00 5.E-04 1.E-03 2.E-03 2.E-03 Gas Concentration in Bitumen (mol gas/ mL oil) 10 CH4-Bitumen T2 of Live Bitumen (msec) C2H6-Bitumen y = 0.103e2095.5x R² = 0.9971 C2H6 CO2-Bitumen Dead Bitumen 1 T2 vs P of each reservoir gase is found to be closely linear on semi-log scale and extrapolated near the value of dead oil T2 . CO2 y = 0.2288e1341.9x R² = 0.9432 Solubility of CH4 and C2H6 in the bitumen follow the Henry’s law well . CH 4 y = 0.0336e2193x R² = 0.9921 The calculated solubility of CO2 in bitumen is overestimated. 0.1 0.E+00 5.E-04 1.E-03 2.E-03 2.E-03 Gas Concentration in Bitumen (mol gas/mL oil) Correction for Deviation of CO2 Solubility in Bitumen L-L-V Three-Phase-Equilibrium could have formed inside the pressure vessel 1000 1000 CH 4 CO 2 y = 2225704x R² = 0.9818 800 y = 797841x - 655.84 R² = 0.9844 600 C2 H 6 400 CH4-Bitumen y = 286359x R² = 0.9826 200 CO2-Bitumen C2H6-Bitumen Pressure at Equilibrium (pisa) Pressure at Equilibrium (pisa) CH 4 y = 2225704x R² = 0.9818 800 CH4-Bitumen CO2-Bitumen CO 2 y = 797841x R² = 0.9844 600 C2H6-Bitumen C2 H 6 400 y = 286359x R² = 0.9826 200 Intercept 0 0 0.E+00 1.E-03 2.E-03 3.E-03 0.E+00 Gas Concentration in Bitumen (mol gas/ mL oil) 1.E-03 2.E-03 3.E-03 Gas Concentration in Bitumen (mol gas/ mL oil) 10 10 CH4-Bitumen y = 0.103e2095.5x R² = 0.9971 y = 0.103e2095.5x R² = 0.9971 C2 H 6 CO2-Bitumen Dead Bitumen 1 CO 2 y = 0.2288e1341.9x R² = 0.9432 CH 4 y = 0.0336e2193x R² = 0.9921 T2 of Live Bitumen (msec) T2 of Live Bitumen (msec) C2H6-Bitumen CO 2 1 CH4-Bitumen CH 4 C2H6-Bitumen CO2-Bitumen y = 0.2288e1341.9x R² = 0.9432 Dead Bitumen 0.1 0.1 0.E+00 C2 H 6 y = 0.2041e2193x R² = 0.9921 1.E-03 Gas Solubility in Bitumen (mol/mL oil) 2.E-03 0.E+00 1.E-03 Gas Solubility in Bitumen (mol/mL oil) 2.E-03 Correlation Between T2 and Viscosity/Temperature Ratio for Bitumen and Brookfield Oil 10 100 Bitumen CO2-Oil T2 Relaxation Time (msec) T2 Relaxation Time (msec) C2H6-Oil 1 0.1 C2H6-Bitumen CO2-Bitumen CH4-Bitumen CH4-Oil Dead Oil at 22C 10 Dead Brookfield Oil at Different T 1 Brookfield Oil Dead Bitumen at Different T 0.01 1.E+00 0.1 1.E+01 1.E+02 1.E+03 Viscosity/Temperature (cP/K) 1.E+04 1.E+00 1.E+01 1.E+02 1.E+03 1.E+04 Viscosity/Temperature (cP/K) Regardless of the gas type used for saturation, the live oil T2 correlates with viscosity/temperature ratio on log-log scale. The changes of T2 and viscosity/temperature ratio caused by gas saturations in oil follows the same trend of those caused by temperature variations on the dead oil. Comparing with Previous T2 vs Viscosity Data 1.E+03 T2[LaTorraca et al](2 MHz) T1[LaTorraca et al](2 MHz) Normalized Relaxation Time (msec) T2[McCann et al](2MHz) T1[McCann et al](2 MHz) 1.E+02 T2[Vinegar et al](2 MHz) T1[Vinegar et al](80 MHz) T2[Zhang et al](2 MHz) T1[Zhang et al](2 MHz) T1 1.E+01 T2[Zhang et al](7.5 MHz) T1[Zhang et al](7.5 MHz) T2[Zhang et al](20 MHz) T1[Zhang et al](20 MHz) 1.E+00 Alkane Corr. Corr. by Morriss et al T2 Dipole-dipole Corr. T2[Bitumen, Dead](2 MHz) 1.E-01 T2[Bitumen, Live](2 MHz) T1[Bitumen, Live](2 MHz) T2[Brookfield, Dead](2 MHz) T2[Brookfield, Live](2 MHz) 1.E-02 1.E-02 1.E-01 1.E+00 1.E+01 1.E+02 1.E+03 1.E+04 Normalized Viscosity/Temperature (cP/K) 1.E+05 Relaxation time and viscosity/temperature ratio are normalized with respect to 2 MHz as shown below**: T2 N ** Hirasaki, Lo and Zhang, Magnetic Resonance Imaging, 2003 2 0 T2 0 2 T T N Conclusion The live bitumen T2 is significantly larger than T2 of dead bitumen, even at the lowest pressure level in this work (~100 psia). The relationship between live bitumen T2 and equilibrium pressure / solubility is linear on semi-log scale for all three reservoir gases. Regardless of the gas type used for saturation, the live bitumen T2 correlates with viscosity/temperature ratio on log-log scale. More importantly, the changes of T2 and viscosity/temperature ratio caused by solution gas follows the same trend of those caused by temperature variations on the dead oil. Appendix A The method for computing solubility from pressure data is described as follows: (1) Pressurization stage: P0 V g Peq V g sg z0 R T z eq R T Voil (2) Depressurization stage: Peq V g P0 V g s g ,i s g ,i 1 z eq R T z0 R T Voil • sg,i is the solubility at current pressure level. sg,i-1 is the solubility at previous pressure level right before the depressurization. • Vg is the volume of vapor phase inside the pressure vessel. Voil is the volume of oil sample inside the pressure vessel. Assuming the swelling effect of oil in this work is negligible, both V g and Voil are constant. • P0 and Peq are system pressure at beginning and pressure at equilibrium after each pressurization/depressurization, respectively. • z0 and zeq are compressibility at beginning and compressibility at equilibrium after each pressurization/depressurization, respectively. Back-up Slides Approach to Compensation for T2 Information Loss Collected data in CPMG Mo from FID Determine initial magnetization M0 from FID. Supplement M0 into the regular CPMG data and assume lognormal distribution for bitumen. Changes of T2 and Pressure of CO2 Dissolved Bitumen During Pressurization Stage 1.0 Dead Oil 21 hrs 0.8 97 hrs 284 hrs 0.6 391 hrs 470 hrs 0.4 0.2 0.0 T2 0.1 1 10 100 1000 10000 Pressure 10 760 T2 Relaxation Time Distribution (msec) 740 1 720 700 0.1 680 0 100 200 300 Time (Hour) 400 500 Pressure (psia) T2 of bitumen (msec) Amplitude f 174 hrs Depressurization of CO2 to Lower Pressures T2 T2 Pressure 560 420 410 1 400 Pressure (psia) 570 Pressure (psia) T2 of bitumen (msec) 580 Peq = 583 psia Pressure 10 590 T2 of bitumen (msec) 10 390 Peq = 414 psia 1 0.1 550 0 10 20 30 40 50 380 0 60 10 20 Pressure T2 310 290 280 Peq = 300 psia 0.1 270 20 30 40 Time (Hour) 50 60 70 140 130 120 110 Peq = 120 psia 100 0.1 90 0 10 20 30 40 Time (Hour) 50 60 70 Pressure (psia) 1 Pressure T2 of bitumen (msec) 300 10 50 1 Pressure (psia) T2 of bitumen (msec) 10 0 40 Time (Hour) Time (Hour) T2 30 T2 &T1 of CO2 Saturated Bitumen at Different Pressures 1.0 1 Dead oil T1 at 709 psia 120 psia 0.8 0.8 T1 at 583 psia 300 psia Amplitude f 583 psia 709 psia 0.4 T1 at 414 psia 0.6 T1 at 300 psia 0.2 0.0 0 0.1 1 10 100 1000 10000 T2 Relaxation Time Distribution (msec) T1 at 120 psia 0.4 0.2 0.1 1 10 100 1000 10000 T1 Relaxation Time Distribution (msec) 10 T2 from new interpretation (msec) Amplitude f 414 psia 0.6 The dissolving of CO2 in Bitumen significantly changes oil T2. T2 from regular interpretation > T2 from lognormal distribution model with specified M0. The difference decreases as saturation pressure increases. 1 The change of T1 with pressure is much less significant, comparing to the corresponding T2. 0.1 0.1 1 T2 from regular interpretation (msec) 10 The change of bitumen viscosity has much more effect on the T2 response rather than T1. Changes of T2 and Pressure of CH4-Bitumen at Different Pressure Levels T2 1 Pressure 1 Dead oil 950 19 hrs 0.8 141 hrs 331hrs f 0.6 428hrs 0.4 930 Pressure (psia) Pressurization Stage 940 T2 of bitumen (msec) 263hrs 920 0.2 0.1 0 0.1 1 10 100 1000 910 0 10000 100 200 T2 Pressure 520 510 500 Peq = 517 psia 0.1 490 0 20 40 Time (Hour) 60 80 Pressure 150 140 130 120 Peq = 131 psia 0.1 110 0 20 40 Time (Hour) 60 80 Pressure (psia) T2 of bitumen (msec) 530 Pressure (psia) Depressurization Stage 500 1 540 T2 of bitumen (msec) 1 400 Time (Hour) T2 Relaxation Time Distribution (msec) T2 300 T2 of CH4 Saturated Bitumen at Different Pressures 1 1 Dead oil 131 psia 0.8 T2 after correction (msec) 517 psia Amplitude f 914 psia 0.6 0.4 0.2 0.1 0 0.1 0.1 1 10 100 1000 10000 1 T2 before correction (msec) T2 Relaxation Time Distribution (msec) The change of bitumen T2 resulting from the saturation of CH4 is obviously less significant than that observed in the case of CO2 or C2H6 The T2 of C2H6 saturated bitumen decreases as equilibrated pressure decreases. The minor peaks between 100 msec and 1 sec are from CH4 in the vapor phase. As pressure decreases, the gas peak moves to the smaller values and peak area shrinks. T2 from regular interpretation > T2 from lognormal distribution model with specified M0. The difference decreases as saturation pressure increases. Re-adjustment of z factor of CO2 to Correct the Calculated Solubility to Follow Henry’s Law 1 z *0 0.9 Compression Factor Z 0.8 0.7 z e, v z0 0.6 z *e 0.5 0.4 z e, l 0.3 0.2 CO2 at 30 oC 0 200 400 600 800 1000 1200 Pressure, psi Adjustment of z0 at the initial pressure gives the re-evaluated value of z factor (z0*) to be 0.96, which is very unlikely for the compressibility factor of CO2 at 745 psia. Adjustment on of ze at the equilibrium pressure shows that, the corrected value of z factor (ze*) needs to move down to 0.55 at 709 psia. The calculated mole fraction of CO2 in vapor phase is 0.54, and the mole fraction in CO2-rich liquid phase is 0.46. Correspondingly, the volume fraction of CO2 in either vapor phase or CO2-rich liquid phase is calculated to be 0.82 and 0.18, respectively.