The Mathematical Analysis of Temperature-Pressure-Adsorption Data of Deep Shale Gas
International Journal of Oil, Gas and Coal Engineering
Volume 6, Issue 6, November 2018, Pages: 177-182
Received: Oct. 9, 2018; Accepted: Nov. 14, 2018; Published: Dec. 19, 2018
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Hao Jingyuan, Energy & Chemical Engineering Research Center, Xian Siyuan University, Xi’an, China
Li Dong, Energy & Chemical Engineering Research Center, Xian Siyuan University, Xi’an, China
Zhang Xuemei, Energy & Chemical Engineering Research Center, Xian Siyuan University, Xi’an, China
Ma Qinghua, Energy & Chemical Engineering Research Center, Xian Siyuan University, Xi’an, China
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Coal is a porous medium and natural adsorbent with well-developed void system. Coal bed gas is usually defined as a hydrocarbon gas, which is adsorbed mainly on the surface of coal matrix particles, free in coal pores or dissolved in coal seam water. The adsorption amount of solid to gas is a function of temperature and gas pressure. Adsorption of gas content in shale is not only an important parameter for shale gas geological reserves and recoverable reserves, but also a key indicator for designing the production process. As the buried depth increases, the temperature and pressure of the reservoir also increase. Therefore, it is necessary to establish an equation to organically link the independent variables and dependent variables such as temperature, pressure, shale, methane adsorption amount to predict adsorptive gas content in shale. Temperature-pressure-adsorption equation (TPAE) has been used to treat the series isothermal adsorption data of 4 kinds of shale rock published by Li Wuguang. In the test temperature and pressure range, TPAE can not only simplify Langmuir parameters, but also picture the quantitative relationship around the temperature-pressure-adsorption. If known TPAE parameters, and the changing temperature and pressure, the partial differential of temperature results in the negative effects of temperature. Furthermore, both the partial differential of pressure and total differential can be exactly calculated. This method using temperature pressure adsorption equation provides a new idea for predicting the adsorption capacity of shale gas. It can make more accurate calculation for shale gas content under variable temperature and pressure.
Shale, Temperature Pressure Adsor- Ption Equation (TPAE), Relative Error, Partial Differential of Temperature, Partial Differential of Pressure, Total Differential
To cite this article
Hao Jingyuan, Li Dong, Zhang Xuemei, Ma Qinghua, The Mathematical Analysis of Temperature-Pressure-Adsorption Data of Deep Shale Gas, International Journal of Oil, Gas and Coal Engineering. Vol. 6, No. 6, 2018, pp. 177-182. doi: 10.11648/j.ogce.20180606.18
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Li Wan-Guan, Yang Sheng-Lai, XU Jing, DONG Qian, “A New Model for Shale adsorption Gas Amount under a Certain Geologica Conditions of Temperature and Pressure”, Natural Gas Geoscience, 2013, 34 (2): 301-311.
YANG Feng, NING Zheng-fu, HU Chang-peng, et al, “Characterization of Microscopic Pore Structures in Shale Reservoirs”, Acta Petrolei Sinica, 2013, 34 (2): 301-311.
XiongWei, GuoWei, Liu Hong-Lin, et al, “Shale Reservoir Characteristics and Isothermal Adsorption Properties”, Natural Gas Industry2012, 32 (1): 113-116.
Li Wan-Guan, Yang Sheng-Lai, Chen Feng, et al, “The Sensitivity Study of Shale Gas Adsorption and Desorption with Rising Reservoir Temperature”, Journal of Mineralogy and Petrology, 2012, 23 (2): 115-120.
ZHAO Tian-yi, NING Zheng-fu, ZENG Yan, “Comparative Analysis of Isothermal Adsorption Models for Shales and Coals”, Xinjiang Petroleum Geology, 2014, 35, (3), 319-323.
Langmuir I. “The adsorption of gases on plane surfaces of glass, mica and platinum”, J Am Chem Soc . 1918, 40: 1361-1403.
Brunauer S, Emmett P. H, Teller E. “Adsorption of gases in multi-molecular layers” [J], J Am Chem Soc . 1938, 60: 309-319.
ZHONG Ling-wen, “adsorption Capacity of Coals and Its Affecting Factors”, Earth Science - Journal of China University of Geosciences, 2004, 29 (3): 327-333.
ZHANG Tian-jun, XU Hong-jie, LI Shu-gang, et al, “The Effect of Temperature on the Adsorbing Capability of Coal”, Journal of China Coal Society, 2009, 34 (6): 802-805.
FU Xue-hai, QIN Yong, QUAN Biao, et al, ”Study of Physical and Numerical Simulations of Adsorption Methane Content On Middle-rank Coal”, Acta Geologica Sinica, 2008, 82 (10): 1368-1371.
ZHAO Li-juan, QIN Yong, Geoff Wang, et al, “Adsorption Behavior of Deep Coalbed Methane Under High Temperatures and Pressures”, Geological Journal of China Universities, 2013, 19 (4): 648-654.
TANG Shu-heng, HAN De-xin, “Adsorption and desorption of Multi Element Gas by Coal”, Coal Science and Technology, 2003, 30 (1): 58-60.
MA Dong-min, ZHANG Sui-an, LIN Ya-bing, “Isothermal Adsorption and Desorption Experiment of Coal and Experimental Results Accuracy Fitting”, Journal of China Coal Society, 2011, 36 (3): 477-479.
D. Li, “Preparation and characterization of silicon base inorganic membrane for gas separation”[D], University of Cincinnati, USA, 1991.
D. Li and S. T. Hwang. “Gas separation by silicon based inorganic membrane at high temperature”[J]. J. of Membrane Sci., 1992, 66: 119-127.
LI Dong, HAO Jing-yuan, ZHANG Xue-mei, et al, “To Establish and Calculate the Regression Sample Set for Temperature-Pressure-Adsorption Equation—Taking Shannxi Jiaoping Cuijiagou Coal as An Example”, Unconventional Oil&Gas, 2018, 5 (2): 46-49.
LI Dong, “Mathematical Analysis of Anthracite’s Adsorption under Variable Temperature and Pressure”, China Coalbed Methane, 2017, 14 (2): 30-35.
WEI Ya-ling, ZHANG Xue-mei, CHENG shi, et al, “Study on Effects of Changes of Temperature and Pressure on Li Adsorption-Flow Equation”, Coal Quality Technology, 2017, 1: 9-12.
LI Dong, HAO Jing-yuan, “Study on Methane Adsorption Variation of Coal under Variable Temperature and Pressure-a Case Study of Xiayukou Coal in Hancheng, Shaanxi Province”, Unconventional Oil&Gas, 2017, 4 (2), 8-12.
LI Dong, HAO Jing-yuan, QIAN Jian-feng, et al, “Mathematical Analysis of High Rank Coal's Swing Adsorption under Variable Temperature and Pressure-Taking YQ4-15 as Example”, 2017, 14 (4), 3-6.
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