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Mathematical models of the heat-water dissociation of natural gas hydrates considering a moving Stefan boundary

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  • Li, Mingchuan
  • Fan, Shuanshi
  • Su, Yuliang
  • Ezekiel, Justin
  • Lu, Mingjing
  • Zhang, Liang

Abstract

This paper presents mathematical models for radial, quasi-steady state heat transfer in a semi-infinite hydrate reservoir with a moving boundary that is related to the dissociation of natural gas hydrates. The exact solutions of the temperature in the dissociation zone and hydrate zone, using the Paterson exponential integral function, are obtained, and the dissociation frontal brim location of the hydrates is determined by combining the Deaton method with the Clausius–Claperyron equation. A sample calculation shows that the reservoir temperature falls sharply to the dissociation temperature and then drops gradually with increasing distance to the reservoir temperature. With respect to time, the temperature increases slowly to the dissociation temperature, after which, the dissociation temperature falls sharply to the temperature close to that of the injected hot-water. By increasing the temperature of injected hot-water, more hydrates participate in dissociation; with an increase in time, the radius quickly increases, but the radius of hydrate dissociation increases slowly.

Suggested Citation

  • Li, Mingchuan & Fan, Shuanshi & Su, Yuliang & Ezekiel, Justin & Lu, Mingjing & Zhang, Liang, 2015. "Mathematical models of the heat-water dissociation of natural gas hydrates considering a moving Stefan boundary," Energy, Elsevier, vol. 90(P1), pages 202-207.
    • Handle: RePEc:eee:energy:v:90:y:2015:i:p1:p:202-207
    DOI: 10.1016/j.energy.2015.05.064
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    References listed on IDEAS

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    1. Bhade, Piyush & Phirani, Jyoti, 2015. "Gas production from layered methane hydrate reservoirs," Energy, Elsevier, vol. 82(C), pages 686-696.
    2. Feng, Jing-Chun & Wang, Yi & Li, Xiao-Sen & Li, Gang & Chen, Zhao-Yang, 2015. "Production behaviors and heat transfer characteristics of methane hydrate dissociation by depressurization in conjunction with warm water stimulation with dual horizontal wells," Energy, Elsevier, vol. 79(C), pages 315-324.
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    Cited by:

    1. Li, Mingchuan & Fan, Shuanshi & Su, Yuliang & Xu, Fuhai & Li, Yan & Lu, Mingjing & Sheng, Guanglong & Yan, Ke, 2018. "The Stefan moving boundary models for the heat-dissociation hydrate with a density difference," Energy, Elsevier, vol. 160(C), pages 1124-1132.
    2. Zheng, Ruyi & Li, Shuxia & Li, Qingping & Li, Xiaoli, 2018. "Study on the relations between controlling mechanisms and dissociation front of gas hydrate reservoirs," Applied Energy, Elsevier, vol. 215(C), pages 405-415.
    3. Xie, Yan & Cheng, Liwei & Feng, Jingchun & Zheng, Tao & Zhu, Yujie & Zeng, Xinyang & Sun, Changyu & Chen, Guangjin, 2024. "Kinetics behaviors of CH4 hydrate formation in porous sediments: Non-unidirectional influence of sediment particle size on hydrate formation," Energy, Elsevier, vol. 289(C).
    4. Terzariol, M. & Goldsztein, G. & Santamarina, J.C., 2017. "Maximum recoverable gas from hydrate bearing sediments by depressurization," Energy, Elsevier, vol. 141(C), pages 1622-1628.
    5. Feng, Qian & Liu, Xian-jie & Peng, Zhi-gang & Zheng, Yong & Huo, Jin-hua & Liu, Huan, 2019. "Preparation of low hydration heat cement slurry with micro-encapsulated thermal control material," Energy, Elsevier, vol. 187(C).

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