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.