Acta Petrolei Sinica ›› 2021, Vol. 42 ›› Issue (9): 1212-1223.DOI: 10.7623/syxb202109008

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Supercritical-gas-liquid-hydrate multiphase equilibrium model in the sour natural gas and water system

Sun Xiaohui1, Sun Baojiang1, Wang Zhiyuan1, Li Hangyu1, Pan Lehua2, Gao Yonghai1, Liao Youqiang1   

  1. 1. School of Petroleum Engineering, China University of Petroleum, Shandong Qingdao 266580, China;
    2. Lawrence Berkeley National Laboratory, University of California, CA 94720, USA
  • Received:2020-12-25 Revised:2021-05-26 Online:2021-09-25 Published:2021-10-12

酸性天然气与水体系内超临界-气-液-水合物多相平衡模型

孙小辉1, 孙宝江1, 王志远1, 李航宇1, Pan Lehua2, 高永海1, 廖友强1   

  1. 1. 中国石油大学(华东)石油工程学院 山东青岛 266580;
    2. 美国加利福尼亚大学伯克利分校劳伦斯伯克利国家实验室 美国加利福尼亚 94720
  • 通讯作者: 孙宝江,男,1963年11月生,1985年获华东石油学院学士学位,1999年获北京大学博士学位,现为中国石油大学(华东)教授、博士生导师,主要从事深水钻完井和井筒多相流基础理论研究工作。Email:sunbj1128@126.com
  • 作者简介:孙小辉,男,1991年3月生,2013年获中国石油大学(华东)学士学位,2020年获中国石油大学(华东)博士学位,现为中国石油大学(华东)师资博士后,主要从事多组分流体多相平衡与多相流理论研究工作。Email:sxh049306@163.com
  • 基金资助:
    博士后创新人才支持计划项目(BX2021374)和山东省博士后创新人才支持计划项目(SDBX2020005)资助。

Abstract: As for the supercritical-gas-liquid-hydrate multiphase equilibrium in the sour natural gas and water system, a multi-component fluid multiphase equilibrium model is established based on the minimization principle of Gibbs free energy. To improve the robustness and calculation accuracy of the above model, this paper proposes a thermodynamic criterion for phase stability judgment and a constrained optimization model for phase composition analysis. Considering the asymmetric interaction between molecules, the paper establishes an improved Peng-Robinson equation of state, puts forward a unified multi-parameter equilibrium constant relation of gas, and sets up a fugacity model under different phase states. Moreover, the paper establishes an experiment database of phase equilibrium of the CH4+CO2+H2S+H2O system, and proposes a multi-parameter nonlinear fitting algorithm for the simultaneous determination of parameters of the phase equilibrium model. Compared with the traditional model, the proposed model has better convergence and smaller calculation errors.

Key words: acid gas, phase equilibrium, hydrate, Gibbs free energy, minimization

摘要: 针对酸性天然气与水体系内超临界-气-液-水合物多相平衡,构建了基于Gibbs自由能最小化原理的多组分流体多相平衡模型。为了提高其鲁棒性和计算精度,提出了相态稳定性判别的热力学判据和相组成分析的约束优化模型;考虑分子间非对称相互作用,建立了改进的Peng-Robinson状态方程,提出了统一的气体多参数平衡常数关系式,构建了不同相态中的逸度模型;建立了CH4+CO2+H2S+H2O体系的相平衡实验数据库,提出了对相平衡模型参数进行同步确定的多参数非线性拟合算法。与传统模型对比结果表明,新模型的收敛性更好、计算误差更小。

关键词: 酸性气体, 相平衡, 水合物, Gibbs自由能, 最小化

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