Nonuniqueness and stability of the water boiling surface in a geothermal reservoir

G. G. Tsypkin; Цыпкин Г. Г.

doi:10.31857/S1024708423600355

Nonuniqueness and stability of the water boiling surface in a geothermal reservoir

作者: Tsypkin G.¹
隶属关系:
1. Institute for Problems in Mechanics of the Russian Academy of Sciences
期: 编号 5 (2023)
页面: 95-102
栏目: Articles
URL: https://journals.rcsi.science/1024-7084/article/view/135103
DOI: https://doi.org/10.31857/S1024708423600355
EDN: https://elibrary.ru/FZUXAM
ID: 135103

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详细
作者简介
参考
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详细

The stability of the boiling surface of water at rest in high-temperature rock, when the domain of water is located above the domain of vapor is investigated. It is shown that the solution is not unique and there are two positions of the interface. As the parameters change, the solutions approach each other and the solutions seases to exist. The normal mode method was used to study the stability of the positions of the interface. A dispersion equation was obtained, which was studied numerically and analytically. It is shown that the transition to instability occurs with a decrease in pressure in the vapor region or an increase in pressure in the water region. Bifurcation diagrams are presented, illustrating the merging and nonexistence of solutions, and parts of the branches corresponding to stable and unstable flow regimes are highlighted.

关键词

geothermal reservoir, boiling surface, capillary pressure, nonuniqueness, stability

作者简介

G. Tsypkin

Institute for Problems in Mechanics of the Russian Academy of Sciences

编辑信件的主要联系方式.
Email: tsypkin@ipmnet.ru
Moscow, Russia

参考

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