Study on Evaluation of the Virtual Saturated Vapor Pressure Model and Prediction of Adsorbed Gas Content in Deep Coalbed Methane
Abstract
:1. Introduction
2. Sample and Methods
2.1. Geological Setting
2.2. Coal Sample Characterization
2.3. Adsorption Experiment
2.4. Adsorption Potential and Adsorption Space
3. Results and Discussion
3.1. Factors Influencing Adsorption Behavior
3.1.1. Effect of Coal Rank on Adsorption Behavior
3.1.2. Effects of Pressure and Temperature on Adsorption Behavior
3.2. Virtual Saturated Vapor Pressure
3.2.1. Dubinin Method
3.2.2. Reid Method
3.2.3. Antoine Method
3.2.4. Astakhov Method
3.2.5. Amankwah Method
3.2.6. Error Analysis of Different Methods
3.3. Adsorbed Gas Content Prediction and Application
4. Conclusions
- (1)
- The adsorption capacity of deep coalbed methane is influenced by a combination of temperature, pressure, and coal rank. As pressure increases, the inhibitory effect of temperature on methane adsorption becomes more pronounced, and this inhibitory effect is further enhanced with higher coal ranks.
- (2)
- Although various virtual saturation vapor pressure models can be used to calculate methane adsorption amount, only the adsorption characteristic curve obtained by the Amankwah model aligns with actual physical principles and exhibits the smallest ARE and MSE. Therefore, the Amankwah model provides a reliable method for predicting adsorbed gas content.
- (3)
- The adsorbed gas prediction model based on adsorption potential theory indicates that there is a critical depth for adsorbed gas in the middle Linxing Block, which is approximately 1600 m. Above this critical depth, the adsorption capacity is primarily influenced by pressure, making it conducive to the formation of adsorbed gas reservoirs. Below this critical depth, the adsorption capacity is mainly affected by temperature and free gas has certain conditions for formation, causing free gas-containing reservoirs to form more easily.
Author Contributions
Funding
Data Availability Statement
Acknowledgments
Conflicts of Interest
References
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Sample | Ro (%) | Maceral Composition (%) | Proximate Analysis (%) | ||||||
---|---|---|---|---|---|---|---|---|---|
V | L | I | M | Mad | Ad | Vdaf | FCad | ||
L1 | 1.28 | 53.6 | 0 | 30.2 | 16.2 | 0.62 | 24.5 | 33.96 | 40.92 |
L2 | 1.43 | 62.7 | 0 | 20.7 | 16.6 | 0.59 | 23.27 | 25.05 | 51.09 |
L3 | 1.11 | 58.2 | 2.8 | 27.0 | 12 | 0.50 | 20.52 | 29.97 | 49.01 |
L4 | 1.33 | 83.6 | — | 9.2 | 7.2 | 0.52 | 10.54 | 26.41 | 62.52 |
L5 | 1.32 | 48.6 | 2.6 | 24.8 | 24 | 0.75 | 24.78 | 27.02 | 47.45 |
k | R2 | ||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|
Ro = 3.1% | Ro = 1.27% | Ro = 0.78% | Ro = 1.54% | Ro = 2.11% | Ro = 1.16% | Ro = 1.36% | Ro = 1.47% | Ro = 1.78% | Ro = 1.38% | Ro = 1.42% | |
2 | 0.9781 | 0.9342 | 0.7011 | 0.8939 | 0.8896 | 0.8452 | 0.8778 | 0.8958 | 0.8034 | 0.9213 | 0.9322 |
3 | 0.9889 | 0.9434 | 0.7912 | 0.9368 | 0.9248 | 0.8835 | 0.9158 | 0.9321 | 0.8486 | 0.9259 | 0.9388 |
4 | 0.9891 | 0.9419 | 0.8625 | 0.959 | 0.9463 | 0.9139 | 0.944 | 0.9576 | 0.8862 | 0.9242 | 0.9391 |
5 | 0.9797 | 0.9306 | 0.9135 | 0.9624 | 0.9541 | 0.9361 | 0.9625 | 0.9725 | 0.9157 | 0.9166 | 0.9334 |
6 | 0.9621 | 0.9113 | 0.9454 | 0.9505 | 0.9495 | 0.9304 | 0.9651 | 0.9677 | 0.913 | 0.9037 | 0.9223 |
7 | 0.9381 | 0.8856 | 0.9611 | 0.9273 | 0.9343 | 0.9572 | 0.9729 | 0.9745 | 0.951 | 0.8865 | 0.9066 |
8 | 0.9093 | 0.8554 | 0.9642 | 0.8966 | 0.9107 | 0.9574 | 0.9668 | 0.9643 | 0.9577 | 0.8655 | 0.887 |
9 | 0.8773 | 0.8223 | 0.9581 | 0.8617 | 0.8812 | 0.9519 | 0.9551 | 0.9484 | 0.9584 | 0.8417 | 0.8644 |
10 | 0.8433 | 0.7875 | 0.9457 | 0.8249 | 0.8478 | 0.9418 | 0.939 | 0.9285 | 0.9539 | 0.8158 | 0.8395 |
Optimal k value | 3.2149 | 2.9126 | 7.8968 | 5.0298 | 5.3601 | 7.8637 | 6.9213 | 6.4175 | 8.9537 | 2.8841 | 3.3443 |
Samples | T/°C | ARE/% | MSE/cm3/g | ||||||||
---|---|---|---|---|---|---|---|---|---|---|---|
Dubinin | Reid | Antoine | Astakhov | Amankwah | Dubinin | Reid | Antoine | Astakhov | Amankwah | ||
Ro = 3.1% | 40 | 4.51 | 6.44 | 4.49 | 5.77 | 3.94 | 1.49 | 1.91 | 1.54 | 1.70 | 1.22 |
60 | 5.60 | 5.70 | 5.30 | 5.56 | 5.21 | 1.50 | 1.57 | 1.29 | 1.45 | 1.27 | |
80 | 6.49 | 7.40 | 5.64 | 5.36 | 5.54 | 2.04 | 2.63 | 1.33 | 1.41 | 1.31 | |
Ro = 1.16% | 30 | 15.93 | 18.40 | 8.11 | 9.27 | 7.03 | 1.53 | 1.75 | 0.87 | 0.99 | 0.62 |
45 | 9.48 | 9.95 | 8.61 | 8.77 | 7.72 | 0.88 | 0.92 | 0.76 | 0.78 | 0.67 | |
60 | 11.83 | 12.62 | 9.95 | 10.28 | 9.57 | 1.38 | 1.51 | 0.98 | 1.05 | 0.83 | |
75 | 23.43 | 26.63 | 15.63 | 16.94 | 13.38 | 2.30 | 2.63 | 1.45 | 1.60 | 1.02 |
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Peng, W.; Jia, T.; Zhang, S.; Wu, J.; Chao, W.; Li, S.; Liu, Z. Study on Evaluation of the Virtual Saturated Vapor Pressure Model and Prediction of Adsorbed Gas Content in Deep Coalbed Methane. Processes 2024, 12, 1837. https://doi.org/10.3390/pr12091837
Peng W, Jia T, Zhang S, Wu J, Chao W, Li S, Liu Z. Study on Evaluation of the Virtual Saturated Vapor Pressure Model and Prediction of Adsorbed Gas Content in Deep Coalbed Methane. Processes. 2024; 12(9):1837. https://doi.org/10.3390/pr12091837
Chicago/Turabian StylePeng, Wenchun, Tengfei Jia, Songhang Zhang, Jian Wu, Weiwei Chao, Shilong Li, and Zizhen Liu. 2024. "Study on Evaluation of the Virtual Saturated Vapor Pressure Model and Prediction of Adsorbed Gas Content in Deep Coalbed Methane" Processes 12, no. 9: 1837. https://doi.org/10.3390/pr12091837