倾斜油水两相流流型混沌吸引子形态周界测度分析

在两维相空间中定义了吸引子形态周界特征量（吸引子面积、长轴、短轴），考察了吸引子周界特征量随时间延迟的变化规律.发现在吸引子展开过程的第一区域内，其吸引子周界特征量变化率具有不变性.通过对正弦信号、噪声信号和混沌信号进行仿真分析，发现采用吸引子周界特征量可以对这些不同信号进行有效分类.在采集倾斜油水两相流电导波动信号基础上，对水为连续相的倾斜油水两相流流型进行了吸引子形态周界测度分析，发现吸引子面积增长率是描述吸引子形态的不变特征量，该特征量对水为连续相的拟段塞水包油（D O/W PS）和局部逆流水包油（ 关键词： 倾斜油水两相流 流型识别 吸引子形态 周界测度

The perimeter measure analysis of chaotic attractor morphology of inclined oil-water two phase flow patterns

In two-dimensional phase space, the attractor morphology parameters of perimeter measures, such as area, lengths of long axis and short axis, are defined, and the variations of these parameters with the delay time are investigated. It was found that the growth rates of the above parameters do not change notably in the first zone during the attractor unfolding process, which is suitable for attractor morphology characterization. The classification effectiveness of this method is verified by applying it to simulating signals, such as sine signal, white noise, mixed signals and Lorenz signals. By the experiment of inclined oil-water two phase flow, the conductance signals were acquired from the vertical multi-electrode array sensor, and the water dominated inclined oil-water flow patterns are analyzed by using the attractor morphology parameters and we found that the growth rate of area is an invariant quantity of attractor morphology, which can give a good classification of dispersion of oil in water-pseudoslugs flow and dispersion of oil in water-countercurrent flow.