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Journal of Porous Media
IF: 1.49 5-Year IF: 1.159 SJR: 0.43 SNIP: 0.671 CiteScore™: 1.58

ISSN Print: 1091-028X
ISSN Online: 1934-0508

Volumes:
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Journal of Porous Media

DOI: 10.1615/JPorMedia.2019028820
pages 499-510

MATHEMATICAL MODEL FOR ISOTHERMAL ADSORPTION OF SUPERCRITICAL SHALE GAS

Zuping Xiang
Department of Petroleum Engineering, Chongqing University of Science and Technology, Chongqing 401331, China
Hongbin Liang
Department of Petroleum Engineering, Chongqing University of Science and Technology, Chongqing 401331, China
Zhilin Qi
Department of Petroleum Engineering, Chongqing Key Laboratory of Complex Oil & Gas Fields Exploration and Development, Chongqing University of Science & Technology, Chongqing, P.R. China, 401331
Qianhua Xiao
Department of Petroleum Engineering, Chongqing University of Science and Technology, Chongqing 401331, China
Wende Yan
Chongqing Key Laboratory of Complex Oil & Gas Fields Exploration and Development, Chongqing University of Science & Technology, Shapingba, Chongqing, China
Baosheng Liang
Chevron North America Exploration and Production, 1400 Smith Street, Houston, Texas 77002, USA; The University of Texas at Austin, USA
Qiutian Guo
Department of Petroleum Engineering, Chongqing University of Science and Technology, Chongqing 401331, China

ABSTRACT

Shale gas adsorption under reservoir conditions belongs to supercritical adsorption in general, while the current adsorption models are constructed under subcritical conditions. Laboratory measurements of shale gas densities have demonstrated that temperature and pressure have a significant impact on supercritical shale gas density and therefore adsorption volume, leading to the importance of considering the influence of the supercritical state on the calculation of shale gas adsorption volume in the shale gas isothermal adsorption model. In this paper, we modified the Dubibin-Astakhov (D-A) model and built an isothermal adsorption mathematical model of supercritical shale gas using the change of bulk gas density to represent adsorption volume and replacing the saturated vapor pressure of the D-A equation with the maximum pressure of supercritical adsorption determined from a linear method in the low-pressure region. Our examples show that the proposed model is a good fit with the data. The potential energy distribution on the absorbent surface calculated from the modified model illustrates that supercritical shale gas adsorption is performed inside micropores. When the temperature increases, the maximum adsorption volume of the micropores decreases and the adsorption phase density increases, while the characteristic adsorption energy is stable.

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