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An Equation for the Adsorption Under Variable Temperature and Pressure Condition

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.

Published in International Journal of Oil, Gas and Coal Engineering (Volume 6, Issue 6)
DOI 10.11648/j.ogce.20180606.17
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), 2018. Published by Science Publishing Group

Keywords

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

References
[1] LIU Shu-sen, GUO Xuan, REN Jun. Comprehensive utilization Status of coalbed methane in China [J], Modern Chemical Industry, 2018, 38(3): 4-8.
[2] QING Yong. The situation and Challenge of Coal-bed methane industrialization in China (II)-Key science and technology issues [J], Nature Gas Industry, 2006, 26(2): 6-10.
[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.
Cite This Article
  • 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
  • Energy & Chemical Engineering Research Center, Xi’an Siyuan University, Xi’an, China

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

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

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

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