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• W789401345 abstract "Abstract The eccentric annular flow of power-law and Bingham plastic fluids is analysed in this paper using a new method in which an eccentric annulus is represented by infinite concentric annuli with variable outer radii. For the case of power-law fluids, ana1ytical solutions of the shear stress and velocity profiles have been obtained which are valid over the entire eccentric annulus. For Bingham plastic fluids, the profiles have been obtained at the minimum and maximum dimension positions of the eccentric annulus, which are -considered to be the important positions for the analysis of cuttings transport in an inclined eccentric drilling annulus. The results show that the local velocity and shear stress have greater magnitude in the enlarged region of an eccentric annulus than in the reduced region. In addition, like the case of concentric annular flow, the present analysis indicates that the profiles of the velocity and the magnitude of the shear stress in an eccentric annulus are not symmetric in the radial direction. Previous studies gave either unrealistic symmetric profiles or very complicated solutions. Based on the above analysis, the effect of the eccentricity of a drilling annulus on cuttings transport is evaluated. The results of this analysis will aid in the design of drilling programmes, particularly for deviated wells, to ensure efficient transport of drilled cuttings. Introduction Drilling engineers deal routinely with the flow of drilling fluids which are non-Newtonian in rheological behaviour, in the annular space between the drillpipe and the casing or wellbore. Traditionally, the assumption is made that the drillpipe is placed concentrically in the casing or wellbore when the annular flow and the behaviour of the transported drilled cuttings is analysed. In reality, however, the drillpipe is usually positioned eccentrically, especially in deviated wells where the drillpipe has a strong tendency to lie against the low side of the hole. A number of studies have been reported for the flow of non-Newtonian fluids through eccentric annuli. Heyda, Redberger and Charles, Mitsuishi and Aoyagi, and Guckes approached the problem by using bipolar co-ordinates to define the eccentric annular geometry and developed methods for the calculation of the velocity profile which involve extensive numerical iterative computation. Vaughn and Iyoho and Azar treated an eccentric annulus as a slot with variable height and developed the analytical models of the velocity profile for power-law fluids. However, because their models are in essence the modified model for flow between parallel plates, unrealistic symmetric velocity and linear shear stress profiles result. In this paper, the annular flow of drilling fluids is analysed based on the eccentric annular geometry using a new method which treats an eccentric annulus as an infinite concentric annuli with variable outer radii. The two most commonly used rheological models i.e. power-law and Bingham plastic models, are used in the analysis to define the rheological behaviour of the drilling fluids. Then, based on the above analysis, the effect of the pipe/hole eccentricity on cuttings transport is evaluated." @default.
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• W789401345 date "1987-09-27" @default.
• W789401345 modified "2023-09-25" @default.
• W789401345 title "Flow of Drilling Fluids Through Eccentric Annuli" @default.
• W789401345 doi "https://doi.org/10.2118/16692-ms" @default.
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