Abstract
Cubic equation of state (EOS) is vital to density calculation in shale gas experimental and theoretical adsorption studies. However, plenty of cubic EOSs have been given and their accuracies on density calculation were still uncertain. Therefore, it is necessary to analyze the applications of different types of cubic EOSs on shale gas adsorption study, according to the density calculation accuracy. Seven Peng-Robinson (PR) type EOSs and eight Soave-Redlich-Kwong (SRK) type EOSs were selected due to their application effect on shale gas. With grand canonical Monte Carlo (GCMC) density data and widely recognized Setzmann-Wagner (SW) EOS, these 15 cubic EOSs were compared and analyzed. Furthermore, cubic and SW EOSs were applied to simplified local density (SLD) model, and the effect of calculated density on adsorption simulation was investigated with GCMC adsorption data. Generally, the densities from PR type EOSs are larger than GCMC data. The SRK type EOS modified by Ghanbari and Check (SRKGC) is as accurate as SW EOS with a small error, 0.6%. The SRK type EOS modified by Mørch et al. has the largest error, which is 7.99%, and is inappropriate to shale gas study. The effect of density accuracy on adsorption simulation could not be neglected. With larger bulk density, absolute adsorption value would get larger, while excess adsorption value would be smaller. This research could be a reference to experiment, molecular simulation, density functional theory and SLD methods for shale gas adsorption study, and the calculation accuracy could be improved effectively.
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The project is supported by National Natural Science Foundation (Number 51774298, 51974330 and U19B6003-03-04).
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Appendix A. Comparison and Discussion
Appendix A. Comparison and Discussion
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Wu, Xj., Ning, Zf., Zhang, Wt., Wang, Q., Huang, L., Lyu, F. (2021). Application of Cubic EOS for Shale Gas Adsorption Study. In: Lin, J. (eds) Proceedings of the International Field Exploration and Development Conference 2020. IFEDC 2020. Springer Series in Geomechanics and Geoengineering. Springer, Singapore. https://doi.org/10.1007/978-981-16-0761-5_300
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DOI: https://doi.org/10.1007/978-981-16-0761-5_300
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