Bubble Rise Velocity in Herchel-Bulkley Fluid of Drilling Annulus

doi:10.11885/j.issn.1674-5086.2014.02.20.01

Abstract

Abstract:

Bubble motion laws in drilling annulus is an important part of borehole multiphase flow research. Among which
bubble rise velocity is a key parameter. The accuracy of borehole multiphase flow description highly depends on the accuracy
of bubble/gas rise velocity of each flow pattern. In the view of this，according to the void fraction，the drilling annulus flow
is divided into four patterns and then the analysis of bubble or gas motion characteristic of every pattern is carried out. The
calculation methods of single bubble slip velocity and aspect ratio in Infinite media are summarized. Apparent viscosity round
bubbles has been corrected through the Herchel-Bulkley reheology model. Through the contrastive analysis of case study
among several formulas of single bubble′s slip velocity in Herchel-Bulkley fluid，the Rodrigue′s formula is considered as
an improvement compared to the Harmathy′s formula and can be the optimal formula of bubble rise velocity in bubbly flow
pattern. The modification of calculation formulas of bubble slip velocities with regard to void fraction，bubble size and the angle
of borehole has been adopted to correct the slip velocities in four flow patterns. For the bubble slip velocity in the transforming
pattern，the liner method is proposed. The case study is applied in the relationship between bubble rise velocity and void fraction.
Finally，bubble rise velocity can be acquired through the method of drift model

Key words: flow pattern in driling annulus, Herchel-Bulkley fluid, bubble slip velocity, drift model, bubble rise velocity

CLC Number:

TE254
O359.1

YIN Junyu1，2*, ZHOU Yingcao1, ZHANG Hui2, JIANG Hongwei1, ZHU Lei1，2. Bubble Rise Velocity in Herchel-Bulkley Fluid of Drilling Annulus[J]. 西南石油大学学报(自然科学版), DOI: 10.11885/j.issn.1674-5086.2014.02.20.01.

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