Interactions and exchange of CO 2 and H 2 O in coals: an investigation by low-field NMR relaxation

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Interactions and exchange of CO 2 and H 2 O in coals: an investigation by low-field NMR relaxation Xiaoxiao Sun, Yanbin Yao *, Dameng Liu, Derek Elsworth, Zhejun Pan Supplementary Figures 1

Supplementary Fig. S1. Adsorption pore distribution recovered from N 2 gas isotherm adsorption (a-sjz; b-dg; c-tcg; d-pl; e-ly; f-ds; g-xg; h-wtp) Supplementary Fig. S2. CO 2 isothermal adsorption of different rank coal samples for experiments at 25 ºC in the pressure range 0-4.9 MPa Supplementary Fig. S3. T 2 spectra of bulk water with masses ranging from 0.4326 to 2.5649g Supplementary Fig. S4. Mass of water versus total amplitude of water 2

Supplementary Fig. S5. Relationship between adsorbed water mass per gram coal measured by NMR and (a) adsorption pore volume, (b) mesopore volume measured by N 2 gas isotherm adsorption Supplementary Fig. S6. The change of T 2 spectra of coal sample SJZ after CO 2 injection, at different CO 2 injection pressures (a-2.5 MPa; b-3.5 MPa; c-4.5 MPa; d-5.5 MPa, where c is recovered from experiment B) 3

Supplementary Fig. S7. The change of T 2 spectra of coal sample DS after CO 2 injection, at different CO 2 injection pressures (a-2.5 MPa; b-3.5 MPa; c-4.5 MPa; d-5.5 MPa, where c is recovered from experiment B) Supplementary Fig. S8. Changes of replaced water mass at different CO 2 pressures, (a) sample SJZ and (b) sample DS 4

Supplementary Fig. S9. The change in T 2 spectra after CO 2 injection, at different temperatures (a-25 ºC ; b-35 ºC ; c-45 ºC, where a is recovered from experiment B), sample SJZ 5

Supplementary Fig. S10. The change in T 2 spectra after CO 2 injection, at different temperatures (a-25 ºC ; b-35 ºC ; c-45 ºC, where a is recovered from experiment B), sample DS Supplementary Fig. S11. The change of replaced water mass after CO 2 injection, at different experimental temperatures for sample (a) SJZ and (b) DS Supplementary Fig. S12. Reproducibility experiments for evaluating replaced water mass by CO 2 -injection (a, b -DS and c, d- SJZ ) 6

Supplementary Fig. S13. Increase mass of the replaced water after CO 2 injection, results of reproducibility experiments and series-b experiment (a-sjz, b-ds) Supplementary Fig. S14. Experimental apparatus for gas and water exchange in coals at different temperature and pressure. The thermostatic bath apparatus is designed to maintain a constant temperature and the attemperator on the surface of the magnet coil maintains temperature when T 2 spectra are measured. 7

Supplementary Tables Sample No TCG DG PL LY SJZ DS XG WTP Total pore surface area (m 2 /g) 0.970 36.618 0.539 0.394 1.596 9.485 15.362 53.097 Average pore diameter (nm) 18.628 2.843 18.522 14.928 7.545 6.943 4.314 4.007 Pore volumes( 10-3 ml/g) Micropores (<10nm) 0.735 16.849 0.456 0.663 0.587 2.576 9.607 7.935 Mesopores (10-100nm) 2.754 3.786 0.315 0.708 0.781 3.317 4.206 4.234 Macropores (>100nm) 1.026 1.741 0.241 0.064 0.570 0.987 1.579 0.896 Total 4.515 22.376 1.012 1.435 1.938 6.88 15.392 13.065 Supplementary Table 1 Results of N 2 gas isotherm adsorption of coal samples analyses Sample ID TCG DG PL LY SJZ DS XG WTP Langmuir volume (m 3 /t) 42.78 47.26 27.19 27.47 39.03 52.61 35.6 48.14 Langmuir pressure (MPa) 1.47 3.68 0.71 0.68 0.68 1.21 2.37 1.09 Correlation coefficient 0.998 0.993 0.999 0.999 0.999 0.997 0.999 0.999 Supplementary Table 2 Results of CO2 isothermal adsorption analyses Time after CO 2 injection (hour) 4 12 24 36 48 72 Reproducibility Absolute deviation (g) 0.0256 0.006 0.0381 0.0453 0.0095 0.0079 experiment-1 Relative deviation (%) 20.32 2.72 14.35 15.33 2.71 2.10 Reproducibility Absolute deviation (g) 0.0096 0.0352 0.0217 0.0268 0.016 0.0263 experiment-2 Relative deviation (%) 7.62 15.96 8.17 9.07 4.56 6.98 Supplementary Table 3 Absolute deviation and relative deviation between reproducibility experiment and series-b experiment at different CO2 residence time for sample SJZ Time after CO 2 injection (hour) 4 12 24 36 48 72 Reproducibility Absolute deviation (g) 0.0701 0.021 0.0462 0.057 0.0256 0.0529 experiment-1 Relative deviation (%) 27 4.31 7.041 7.92 3.33 6.52 Reproducibility Absolute deviation (g) 0.0800 0.0211 0.0367 0.0095 0.0092 0.007 experiment-2 Relative deviation (%) 30.9 4.33 5.64 1.32 1.2 0.86 Supplementary Table 4 Absolute deviation and relative deviation between reproducibility experiment and series-b experiment at different CO2 residence time for sample DS 8

Supplementary Methods N 2 adsorption at 77K N 2 adsorption experiments at 77K were completed using an automated surface and volume analyzer MK ASAP-2020N following Chinese Oil and Industry Standard SY/T6154-1995. Coal samples captured between 60-80 mesh were dried in an oven at 80 ºC overnight, and measured for the relative pressure range from 0.01 to 1 at 77K. N 2 gas isotherm adsorption experiments yield information on pores in the range 1.7 nm to 300 nm. The pore volume was calculated using BJH and the pore surface area was calculated using BET using the N 2 adsorption data. CO 2 isothermal adsorption CO 2 isothermal adsorption experiments were conducted for 8 samples following the Chinese GB/T 19560 2004 procedure using a TerraTek Isotherm Measurement System (ISO 300). The coal samples were crushed to powder at 60 80 mesh size and at weights up 80-100 g for moisture-equilibrium treatment. The samples were treated (ASTM standard) for at least four days until each sample weight stabilized. After these pretreatments, coal powder was placed into the sample cell of the ISO 300 for adsorption isotherm measurements. The adsorption experiments were carried out at constant temperature of 25 ºC, with pressure up to 4.9 MPa, at which CO 2 remains gaseous. NMR experimental arrangement Supplementary Fig. S14 shows the schematic diagram of the experimental arrangement, consisting of a gas-water exchange system and a thermostatic bath. The thermostatic bath is designed to maintain a constant temperature, and the attemperator coating on the magnetic coil surface is designed to maintain temperature when T 2 spectra are measured. The gas-water exchange apparatus comprises a 9

high pressure sample cell and a high-pressure gas-delivery system. The sample cell is specially designed to be nonmetallic and nonmagnetic and is located in the magnet coil, which is used to hold CO 2 /helium gas. To pressurize the sample and to maintain a constant pressure, a high-pressure gas line, including a booster pump, two gas sources, a pressure resistant vessel, a pressure-regulating valve and several actuator-driven valves, is used. The pressure vessel and pressure-regulating valve are designed to maintain a constant pressure in the sample cell. High-precision pressure transducers and a temperature transmitter monitor the gas pressure and temperature in the gas-delivery system. The NMR measurement apparatus is a MiniMR-60 spectrometer, manufactured by Niumag Corporation Ltd, China. The instrument uses a frequency of 23.15MHz, a magnetic field strength of 0.54 T and a magnet coil diameter of 60 mm. NMR measurements The Carr-Purcell-Meiboom-Gill (CPMG) sequence, a standard sequence for measuring transverse relaxation times (T 2 ), is used in this study. The measurement parameters are appropriately chosen to minimize error in the experiments 30. The wait time (TW) is selected to be more than five times that of the relaxation time of the slowest relaxing component, in order to ensure a quantitative result, TW=3s 24. CPMG sequences of 10,000 echoes are used, ensuring that the complete decay curve is recorded. The chosen echo spacing (TE) and number of echo-trains for the NMR experiment are 0.32 ms and 64, respectively. For a given TW, the T 2 spectra distribution moves to the right with increasing TE, thus, the TE is set to be as small as possible to avoid the loss of information on some small pores 20. 10