Mathematical modeling of Stefan phase change for thermal dissociation of natural gas hydrate

被引：0
|
作者：
Li M. [1 ]
Fan S. [2 ]
Xu F. [3 ]
Yan K. [4 ]
Huang A. [3 ]
机构：
[1] School of Petroleum Engineering, China University of Petroleum (East China), Qingdao
[2] School of Chemistry and Chemical Engineering, South China of Technology, Guangzhou
[3] Dongxin Production Plant, Shengli Oil Field, Sinopec, Dongying
[4] Shengli Production Plant, Shengli Oilfield, Sinopec, Dongying
来源：
Huagong Xuebao/CIESC Journal | 2021年 / 72卷 / 06期
关键词：
Dissociation frontal brim; Mathematical modeling; Natural gas hydrate; Neumann solution; Stefan phase change;
D O I：
10.11949/0438-1157.20201573
中图分类号：
学科分类号：
摘要：
The thermal dissociation process of natural gas hydrate is a Stefan phase change problem with moving boundaries. Based on the conservation integral heat conduction model of the single-phase continuous hydrate control body, the paper establishes the interface coupling Stefan energy conservation condition of the natural gas hydrate thermal decomposition control body considering the sharp moving boundary. Using Boltzmann's similar variables, the Neumann solution of the Stefan phase transition model for the thermal decomposition of half infinite natural gas hydrate was obtained. The monotonicity of the transcendental equation was proved, and the uniqueness of the Stefan model was confirmed. By example analysis, the monotonicity of the transcendental equation, and the uniqueness solution of Stefan model have been verified. By MATLAB programs, the laws of temperature distribution, dissociation frontal brim have been studied during the thermal dissociation process into a hydrate reservoir. The sensitivity fitting studies have shown that λ (the solution of transcendental equation) and xf (interface position) increased gradually, xd (the penetrated depth) and td (the penetrated time) decreased gradually with the temperature increasing. © 2021, Editorial Board of CIESC Journal. All right reserved.
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页码：3252 / 3260
页数：8
相关论文
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