Journal
JOURNAL OF PETROLEUM EXPLORATION AND PRODUCTION TECHNOLOGY
Volume 8, Issue 2, Pages 341-350Publisher
SPRINGER HEIDELBERG
DOI: 10.1007/s13202-017-0385-4
Keywords
Single-corner capillary; Distribution; Saturation; Interface; Wetting phase
Funding
- Natural Science Foundation of China [51274225]
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A new basic single-corner capillary model is presented. In this model, the distribution of immiscible fluids is determined by a particular threshold pressure. Additionally, we derive and analyze the interface curvature and profile of the fluid menisci in different tubes. Various polygonal cross sections are obtained by repeatedly superposing the basic single-corner capillary model. We study the relationship between the number of polygon edges and the distribution of fluids as well as the saturation of the wetting phase in equilateral polygon tubes. Furthermore, for the first time, we discuss the interaction of the corners to reveal the five stages of the fluid interfaces with various corner geometries. The dimensionless interface curvature and the radius of the circle are considered to extend our conclusions to similar cross-sectional capillary tubes of different sizes.
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