Volume 6, Issue 6, November 2018, Page: 177-182
The Mathematical Analysis of Temperature-Pressure-Adsorption Data of Deep Shale Gas
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
Received: Oct. 9, 2018;       Accepted: Nov. 14, 2018;       Published: Dec. 19, 2018
DOI: 10.11648/j.ogce.20180606.18      View  38      Downloads  9
Abstract
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.
Keywords
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
Copyright
Copyright © 2018 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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