Linear-stability analysis of immiscible displacement: Part 1-Simple basic flow profiles
Linear-stability analysis of immiscible displacement: Part 1-Simple basic flow profiles
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非混相驱替的线性稳定性分析：第 1 部分 - 简单基本流动剖面
DOI：
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发表时间：
1986
期刊：
影响因子：
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通讯作者：
A. Huang
中科院分区：
文献类型：
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作者：
Y. Yortsos;A. Huang
研究了多孔介质中不混溶两相流驱替过程的线性稳定性。通过相对渗透率和毛细管压力函数将多相流特征包括在稳定性描述中。稳态饱和度和压力分布的线性稳定性分析进行正常模式。由此产生的线性化特征值问题描述的早期演变的不稳定模式显示出一定的相似性，在各自的情况下，可以忽略不计的毛细效应的瑞利和Orr-Sommerfeld方程的无界剪切流的稳定性。首先研究了非毛细驱替的稳定性。增长率的不稳定模式作为不稳定的波长的函数明确获得特定类别的初始总迁移率分布。Saffman-Taylor不稳定性和层不稳定性直接作为初始迁移率分布的极限情况。下面考察毛细作用对流动稳定性的影响。稳定性曲线得到的阶跃饱和初始配置文件。毛管压力和平滑的初始流度分布对流动位移产生稳定影响。结果发现应用于预测的发病不稳定和描述的早期阶段的不稳定增长的不混溶驱。
The linear stability of immiscible, two-phase-flow displacement processes in porous media is examined. Multiphase-flow characteristics are included in the stability description through relative-permeability and capillary-pressure functions. A linear-stability analysis of the steady-state saturation and pressure distributions is carried out in terms of normal modes. The resulting linearized eigenvalue problems describing the early evolution of unstable modes show a certain similarity in the respective cases of negligible and non-negligible capillary effects to the Rayleigh and Orr-Sommerfeld equations governing the stability of unbounded shear flows. The stability of noncapillary displacement is first examined. Growth rates of the unstable modes as a function of the wavelength of instability are explicitly obtained for specific classes of initial total-mobility profiles. The Saffman-Taylor instability and layer instability follow directly as limiting cases of the initial-mobility profiles. The effect of capillarity on flow stability is examined next. Stability curves are obtained for step-saturation initial profiles. Both capillary pressure and a smooth initial-mobility profile exert a stabilizing influence on the flow displacement. The results find application in prediction of the onset of instability and description of the early stages of unstable growth in immiscible displacement.