Multivariate work analysis for characterizing
horizontal oil-water two-phase flow
Gao Zhongke1,2,3, Zhang Xinwang1, Jin Ningde1, Marwan Norbert2, Kurths Jürgen2,3,4*
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(1. School of Electrical Engineering and Automation, Tianjin University, TianJin 300072;
2. Potsdam Institute for Climate Impact Research, Potsdam 14473, Germany;
3. Department of Physics, Humboldt University, Berlin 12489, Germany;
4. Institute plex Systems and Mathematical Biology, University of Aberdeen, Aberdeen
AB24 3UE, UK)
Abstract: plex patterns arising from horizontal oil-water two-phase flows is a
contemporary and challenging problem of paramount importance. We design a new multi-sector
conductance sensor and systematically carry out horizontal oil-water two-phase flow experiments for
measuring multivariate signals of different flow patterns. We then infer multivariate recurrence
networks from these experimental data and investigate local work properties for each
work. Our results demonstrate that local cross-clustering coefficient from a multivariate
work is very sensitive to transitions among different flow patterns and recovers
quantitative insights into the flow behavior underlying horizontal oil-water flows. These properties
render multivariate works particularly powerful for investigating a horizontal oil-water
two-phase flow system and plex ponents from work perspective.
Keywords: Multivariate work; Cross-clustering coefficient; Horizontal oil-water flows;
Experiments
0 Introduction
Horizontal oil-water two-phase flow mon in a diverse range of industrial processes and
particularly in the petroleum industry, where a mixture of oil and water often flows through pipes
for long distances when production and usage. The investigations of horizontal oil-water flows are
of great importance especially for the prediction of pressure drop in the horizontal oil wells,
measurement of flow parameters and optimization of industrial produc
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