An Equation for the Adsorption Under Variable Temperature and Pressure Condition

Li Dong; Hao Jingyuan; Ma Qinghua; Zhang Xuemei

doi:doi:10.11648/j.ogce.20180606.17

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An Equation for the Adsorption Under Variable Temperature and Pressure Condition

Li Dong, Hao Jingyuan, Ma Qinghua, Zhang Xuemei

Received: 9 October 2018 Accepted: 21 November 2018 Published: 19 December 2018

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Abstract

A temperature-pressure-adsorption equation (TPAE) has been introduced to treat accurately the adsorption under variable temperature and pressure of 4 coal seams with different ranks. The TPAE has four parameters, two parameters (A, B) relate the testing coal properties, one parameter ∆ relates temperature influence, one parameter β relate to pressure influence. All necessary pieces information, such as adsorption, partial differential of temperature, partial differential of pressure, and complete differential, can be accurately calculated. When temperature effect ∆ and pressure effect β of coal sample has been measured and under certain temperature and pressure conditions, maximum adsorption occurs and inter-related to coal metamorphism (Vitrines maximum reflectivity). The accuracy of TPAE, regarding the fitting of the adsorption under variable temperature and pressure of 4 coal seams with different ranks, has been verified either with the average relative error or with pictorial illustration. Since TPAE is an equation with triple variable (temperature, pressure, adsorption volume), its partial and full derivations, are conducted to interpret numerically why and how the temperature increasing has negative effect, but pressure increasing has positive effect. Furthermore, partial derivations of TPAE have shown that the temperature effect and pressure effect are intertwine. Finally, the “variable temperature and pressure adsorption” method has been suggested to replace the conventional series isothermal adsorption for the evaluation of adsorptive power of coal under a certain geological condition of temperature and pressure.

DOI	10.11648/j.ogce.20180606.17
Published in	International Journal of Oil, Gas and Coal Engineering (Volume 6, Issue 6, November 2018)
Page(s)	171-176
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Coal, Temperature-Pressure-Adsorption Equation (TPAE), Average Relative Error, Derivations, Variable Temperature and Pressure Adsorption

References

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[3]	LIU Shu-sen, GUO Xuan, Ren Jun. Comprehensive Utilization Status of Coalbed Methane in China [J], Modern Chemical Industry, 2018, 38(3): 4-8.
[4]	Langmuir I. The adsorption of gases on plane surfaces of glass, mica and platinum [J], J Am Chem Soc . 1918, 40: 1361-1403.
[5]	ZHONG Ling-Wen，ZHENG Yu-Zhu, YUN Zheng-Rong, et al. The adsorption capability of coal under integrated influence of temperature and pressure and predicted of content quantity of coal bed gas [J], JOURNAL OF CHINA COAL SOCIETY, 2002，27(6): 581-585.
[6]	FU Xue-Hai, QIN Yong, QUAN Biao, et al. Study of Physical and Numerical Simulations of Adsorption Methane Content on Middle rank Coal [J], ACTA GEOLOGICA SINICA, 2008, 82(10): 1368-1371.
[7]	ZHANG Tian-Jun, XU Hong-Jie, LI Shu-Gang, et al. The effect of temperature on the adsorbing capability of coal [J], JOURNAL 0F CHINA COAL SOCIETY, 2009, 34(6): 802-805.
[8]	ZHAO Li-Juan, QIN Yong, Geoff WANG, et al. Adsorption Behavior of Deep Coal-bed Methane Under High Temperatures and Pressures [J], Geological Journal of China Universities, 2013, 19(4): 648-654.
[9]	TANG Shu-Heng, YANG Qi, TANG Da-Zhen. Comparison between the experiment data of binary component gas adsorption isotherm and the calculating result with extended Langmuir equation [J], Geological Science and Technology Information, 2003, 22(2): 68-70.
[10]	MA Dong-Min, Zhang Sui-An, Lin Ya-Bing. Isothermal adsorption and desorption experiment of coal and experimental results accuracy fitting [J]. Journal of China Coal Society, 2011, 36(3): 476-480.
[11]	ZHANG Qing-ling. Adsorption mechanism of different coal ranks under variable temperature and pressure conditions [J], Journal of China University of Mining and Technology, 2008, 18(3): 395-400.
[12]	LI Dong, HAO Jing-yuan. Temperature-pressure-adsorption equation of gas separation in inorganic membrane and its application on adsorption [J]. Membrane Science and Technology, 2018, 38(4): 127-131.
[13]	LI Dong, WANG Yong-Jie, WEI Ya-Ling, et al. Error analysis of coal variable temperature and pressure swing adsorption between measured and theoretical value [J]. China Coal-bed Methane, 2017, 14(1): 28-31.
[14]	LI Dong, HAO Jing-yuan, ZHANG Xue-Mei, et al. To establish and calculate the regression sample set for temperature - pressure - adsorption equation [J]. UNCONVENTIONAL OIL & GAS, 2018, 5 (2): 46-49.
[15]	LI Dong, HAO Jing-Yuan. Study on Methane Adsorption Variation of Coal Under Variable Temperature and Pressure [J]. UNCONVENTIONAL OIL & GAS, 2017, 4 (2): 8-12.
[16]	MIAO Ze-kai, LI Dong, WANG Zhen. Study on adsorption behavior of coal-bed methane under variable temperature and pressure [J]. Coal Quality Technology, 2017, 3: 25-28.
[17]	LI Dong, HAO Jing-Yuan, SUN Chenguang, et al. Comparison study of methane adsorption behavior between shale and coal seam under variation temperature and pressure-Taking ALUM shale and CUIJIAGOU 7# Coal as example [J], UNCONVENTIONAL OIL & GAS, 2018, 5 (1): 61-65.

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APA Style

Li Dong, Hao Jingyuan, Ma Qinghua, Zhang Xuemei. (2018). An Equation for the Adsorption Under Variable Temperature and Pressure Condition. International Journal of Oil, Gas and Coal Engineering, 6(6), 171-176. https://doi.org/10.11648/j.ogce.20180606.17

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ACS Style

Li Dong; Hao Jingyuan; Ma Qinghua; Zhang Xuemei. An Equation for the Adsorption Under Variable Temperature and Pressure Condition. Int. J. Oil Gas Coal Eng. 2018, 6(6), 171-176. doi: 10.11648/j.ogce.20180606.17

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AMA Style

Li Dong, Hao Jingyuan, Ma Qinghua, Zhang Xuemei. An Equation for the Adsorption Under Variable Temperature and Pressure Condition. Int J Oil Gas Coal Eng. 2018;6(6):171-176. doi: 10.11648/j.ogce.20180606.17

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@article{10.11648/j.ogce.20180606.17,
  author = {Li Dong and Hao Jingyuan and Ma Qinghua and Zhang Xuemei},
  title = {An Equation for the Adsorption Under Variable Temperature and Pressure Condition},
  journal = {International Journal of Oil, Gas and Coal Engineering},
  volume = {6},
  number = {6},
  pages = {171-176},
  doi = {10.11648/j.ogce.20180606.17},
  url = {https://doi.org/10.11648/j.ogce.20180606.17},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ogce.20180606.17},
  abstract = {A temperature-pressure-adsorption equation (TPAE) has been introduced to treat accurately the adsorption under variable temperature and pressure of 4 coal seams with different ranks. The TPAE has four parameters, two parameters (A, B) relate the testing coal properties, one parameter ∆ relates temperature influence, one parameter β relate to pressure influence. All necessary pieces information, such as adsorption, partial differential of temperature, partial differential of pressure, and complete differential, can be accurately calculated. When temperature effect ∆ and pressure effect β of coal sample has been measured and under certain temperature and pressure conditions, maximum adsorption occurs and inter-related to coal metamorphism (Vitrines maximum reflectivity). The accuracy of TPAE, regarding the fitting of the adsorption under variable temperature and pressure of 4 coal seams with different ranks, has been verified either with the average relative error or with pictorial illustration. Since TPAE is an equation with triple variable (temperature, pressure, adsorption volume), its partial and full derivations, are conducted to interpret numerically why and how the temperature increasing has negative effect, but pressure increasing has positive effect. Furthermore, partial derivations of TPAE have shown that the temperature effect and pressure effect are intertwine. Finally, the “variable temperature and pressure adsorption” method has been suggested to replace the conventional series isothermal adsorption for the evaluation of adsorptive power of coal under a certain geological condition of temperature and pressure.},
 year = {2018}
}

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TY  - JOUR
T1  - An Equation for the Adsorption Under Variable Temperature and Pressure Condition
AU  - Li Dong
AU  - Hao Jingyuan
AU  - Ma Qinghua
AU  - Zhang Xuemei
Y1  - 2018/12/19
PY  - 2018
N1  - https://doi.org/10.11648/j.ogce.20180606.17
DO  - 10.11648/j.ogce.20180606.17
T2  - International Journal of Oil, Gas and Coal Engineering
JF  - International Journal of Oil, Gas and Coal Engineering
JO  - International Journal of Oil, Gas and Coal Engineering
SP  - 171
EP  - 176
PB  - Science Publishing Group
SN  - 2376-7677
UR  - https://doi.org/10.11648/j.ogce.20180606.17
AB  - A temperature-pressure-adsorption equation (TPAE) has been introduced to treat accurately the adsorption under variable temperature and pressure of 4 coal seams with different ranks. The TPAE has four parameters, two parameters (A, B) relate the testing coal properties, one parameter ∆ relates temperature influence, one parameter β relate to pressure influence. All necessary pieces information, such as adsorption, partial differential of temperature, partial differential of pressure, and complete differential, can be accurately calculated. When temperature effect ∆ and pressure effect β of coal sample has been measured and under certain temperature and pressure conditions, maximum adsorption occurs and inter-related to coal metamorphism (Vitrines maximum reflectivity). The accuracy of TPAE, regarding the fitting of the adsorption under variable temperature and pressure of 4 coal seams with different ranks, has been verified either with the average relative error or with pictorial illustration. Since TPAE is an equation with triple variable (temperature, pressure, adsorption volume), its partial and full derivations, are conducted to interpret numerically why and how the temperature increasing has negative effect, but pressure increasing has positive effect. Furthermore, partial derivations of TPAE have shown that the temperature effect and pressure effect are intertwine. Finally, the “variable temperature and pressure adsorption” method has been suggested to replace the conventional series isothermal adsorption for the evaluation of adsorptive power of coal under a certain geological condition of temperature and pressure.
VL  - 6
IS  - 6
ER  -

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Author Information

Li Dong

Energy & Chemical Engineering Research Center, Xi’an Siyuan University, Xi’an, China
Hao Jingyuan

Energy & Chemical Engineering Research Center, Xi’an Siyuan University, Xi’an, China
Ma Qinghua

Energy & Chemical Engineering Research Center, Xi’an Siyuan University, Xi’an, China
Zhang Xuemei

Energy & Chemical Engineering Research Center, Xi’an Siyuan University, Xi’an, China

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Plain Text BibTeX RIS

APA Style

Li Dong, Hao Jingyuan, Ma Qinghua, Zhang Xuemei. (2018). An Equation for the Adsorption Under Variable Temperature and Pressure Condition. International Journal of Oil, Gas and Coal Engineering, 6(6), 171-176. https://doi.org/10.11648/j.ogce.20180606.17

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ACS Style

Li Dong; Hao Jingyuan; Ma Qinghua; Zhang Xuemei. An Equation for the Adsorption Under Variable Temperature and Pressure Condition. Int. J. Oil Gas Coal Eng. 2018, 6(6), 171-176. doi: 10.11648/j.ogce.20180606.17

Copy | Download

AMA Style

Li Dong, Hao Jingyuan, Ma Qinghua, Zhang Xuemei. An Equation for the Adsorption Under Variable Temperature and Pressure Condition. Int J Oil Gas Coal Eng. 2018;6(6):171-176. doi: 10.11648/j.ogce.20180606.17

Copy | Download

@article{10.11648/j.ogce.20180606.17,
  author = {Li Dong and Hao Jingyuan and Ma Qinghua and Zhang Xuemei},
  title = {An Equation for the Adsorption Under Variable Temperature and Pressure Condition},
  journal = {International Journal of Oil, Gas and Coal Engineering},
  volume = {6},
  number = {6},
  pages = {171-176},
  doi = {10.11648/j.ogce.20180606.17},
  url = {https://doi.org/10.11648/j.ogce.20180606.17},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ogce.20180606.17},
  abstract = {A temperature-pressure-adsorption equation (TPAE) has been introduced to treat accurately the adsorption under variable temperature and pressure of 4 coal seams with different ranks. The TPAE has four parameters, two parameters (A, B) relate the testing coal properties, one parameter ∆ relates temperature influence, one parameter β relate to pressure influence. All necessary pieces information, such as adsorption, partial differential of temperature, partial differential of pressure, and complete differential, can be accurately calculated. When temperature effect ∆ and pressure effect β of coal sample has been measured and under certain temperature and pressure conditions, maximum adsorption occurs and inter-related to coal metamorphism (Vitrines maximum reflectivity). The accuracy of TPAE, regarding the fitting of the adsorption under variable temperature and pressure of 4 coal seams with different ranks, has been verified either with the average relative error or with pictorial illustration. Since TPAE is an equation with triple variable (temperature, pressure, adsorption volume), its partial and full derivations, are conducted to interpret numerically why and how the temperature increasing has negative effect, but pressure increasing has positive effect. Furthermore, partial derivations of TPAE have shown that the temperature effect and pressure effect are intertwine. Finally, the “variable temperature and pressure adsorption” method has been suggested to replace the conventional series isothermal adsorption for the evaluation of adsorptive power of coal under a certain geological condition of temperature and pressure.},
 year = {2018}
}

Copy | Download

TY  - JOUR
T1  - An Equation for the Adsorption Under Variable Temperature and Pressure Condition
AU  - Li Dong
AU  - Hao Jingyuan
AU  - Ma Qinghua
AU  - Zhang Xuemei
Y1  - 2018/12/19
PY  - 2018
N1  - https://doi.org/10.11648/j.ogce.20180606.17
DO  - 10.11648/j.ogce.20180606.17
T2  - International Journal of Oil, Gas and Coal Engineering
JF  - International Journal of Oil, Gas and Coal Engineering
JO  - International Journal of Oil, Gas and Coal Engineering
SP  - 171
EP  - 176
PB  - Science Publishing Group
SN  - 2376-7677
UR  - https://doi.org/10.11648/j.ogce.20180606.17
AB  - A temperature-pressure-adsorption equation (TPAE) has been introduced to treat accurately the adsorption under variable temperature and pressure of 4 coal seams with different ranks. The TPAE has four parameters, two parameters (A, B) relate the testing coal properties, one parameter ∆ relates temperature influence, one parameter β relate to pressure influence. All necessary pieces information, such as adsorption, partial differential of temperature, partial differential of pressure, and complete differential, can be accurately calculated. When temperature effect ∆ and pressure effect β of coal sample has been measured and under certain temperature and pressure conditions, maximum adsorption occurs and inter-related to coal metamorphism (Vitrines maximum reflectivity). The accuracy of TPAE, regarding the fitting of the adsorption under variable temperature and pressure of 4 coal seams with different ranks, has been verified either with the average relative error or with pictorial illustration. Since TPAE is an equation with triple variable (temperature, pressure, adsorption volume), its partial and full derivations, are conducted to interpret numerically why and how the temperature increasing has negative effect, but pressure increasing has positive effect. Furthermore, partial derivations of TPAE have shown that the temperature effect and pressure effect are intertwine. Finally, the “variable temperature and pressure adsorption” method has been suggested to replace the conventional series isothermal adsorption for the evaluation of adsorptive power of coal under a certain geological condition of temperature and pressure.
VL  - 6
IS  - 6
ER  -

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