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首页> 外文期刊>Journal of Experimental and Theoretical Physics >Instabilities of Uniform Filtration Flows with Phase Transition
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Instabilities of Uniform Filtration Flows with Phase Transition

机译:具有相变的均匀过滤流的不稳定性

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摘要

New mechanisms of instability are described for vertical flows with phase transition through horizontally extended two-dimensional regions of a porous medium. A plane surface of phase transition becomes unstable at an infinitely large wavenumber and at zero wavenumber. In the latter case, the unstable flow undergoes reversible subcritical bifurcations leading to the development of secondary flows ( which may not be horizontally uniform). The evolution of subcritical modes near the instability threshold is governed by the Kolmogorov-Petrovskii-Piskunov equation. Two examples of flow through a porous medium are considered. One is the unstable flow across a water-bearing layer above a layer that carries a vapor-air mixture under isothermal conditions in the presence of capillary forces at the phase transition interface. The other is the vertical flow with phase transition in a high-temperature geothermal reservoir consisting of two high-permeability regions separated by a low-permeability stratum.
机译:描述了对于垂直流动的新的不稳定性机制,该流动具有通过多孔介质的水平延伸的二维区域的相变。在无限大的波数和零波数下,相变的平面变得不稳定。在后一种情况下,不稳定流会经历可逆的亚临界分叉,从而导致形成次级流(水平方向可能不均匀)。接近不稳定性阈值的亚临界模式的演化由Kolmogorov-Petrovskii-Piskunov方程控制。考虑了通过多孔介质的流动的两个例子。一种是不稳定的流过在等温条件下在相变界面处存在毛细作用力的情况下承载蒸气-空气混合物的层上方的含水层的不稳定流动。另一个是在高温地热储层中具有相变的垂直流,该储层由两个低渗透率地层隔开的高渗透率区域组成。

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