A Simplified Model for Oil/Water Flow in Vertical and Deviated Wellbores Academic Article uri icon


  • Summary This paper presents the results of an experimental study and a semitheoretical analysis of two-phase oil/water flow in vertical and deviated systems. The study focuses on water-dominated flow regimes, where the patterns may be termed as bubbly flow, pseudoslug flow, and churn flow. A drift-flux approach is taken to analyze the flow behavior of oil/water systems. For the three flow regimes investigated, the drift velocity of the lighter oil phase is found to be dependent on its in-situ volume fraction in addition to the terminal bubble- or droplet-rise velocity. For flow in both vertical and deviated pipes, we were able to develop a single expression for the drift flux, uow, resulting in a single equation for the in-situ oil fraction, fo, for the three flow regimes studied. We correlated fo with the oil superficial velocity, vos, and the terminal rise velocity, v, using the expression, fo=vos/{1.2vm + v f(1 fo)2}. In a deviated pipe, the terminal rise velocity, v, is correlated with that in a vertical pipe by =v/' (cos)0.5(1 + sin)2, for >70. The performance of the proposed method in estimating fo is in good agreement with our measurements. Published data further augment the approach presented here.

published proceedings

  • SPE Production & Facilities

altmetric score

  • 3

author list (cited authors)

  • Hasan, A. R., & Kabir, C. S.

citation count

  • 45

complete list of authors

  • Hasan, AR||Kabir, CS

publication date

  • January 1999