Study on Flow Rules of Herschel-Bulkley Fluid in Concentric Annulus of Elliptical Wellbore and Simplified Model for Pressure Drop Calculation

doi:10.3969/j.issn.1006-6535.2021.02.024

Abstract

Abstract: The wellbore is easy to become elliptical due to the uneven rocks and in-situ stress, leading to great deviation in the existing annulus flow model of regular circular wellbore. In order to identify the flow rules of Herschel-Bulkley fluid in the concentric annulus of the elliptical .wellbore, an analytical model and a Fluent simulation model were established to analyze the influence of the elliptical .wellbore on the annulus flow velocity and pressure drop gradient. A simplified model was established for pressure drop calculation of concentric annulus of elliptical wellbore by correcting the hydraulic diameter and introducing effective viscosity to realize accurate and rapid prediction of flow pressure drop. The effectiveness of the simplified model was verified by the analytical model, simulation model and measured results. The results showed that when the flow rate was constant, the axial average velocity and maximum velocity increased linearly and exponentially with the increase of the ratio of the long and short axis of the ellipse; the dimensionless pressure drop gradient increased linearly with the increase of the ratio of the long and short axis of the ellipse; the simplified model was well fitted with the simulation model, analytical model and measured results, and the deviations were ±8%, ±5% and ±5%, respectively. The study results can be used as a theoretical support for accurate and rapid prediction of flow pressure drop in concentric annulus in elliptical wellbore.

Key words: pressure prediction, elliptical wellbore, concentric annulus, Herschel-Bulkley fluid, reservoir fluid flow, annulus pressure drop

CLC Number:

TE22

Zhang Jie, Tang Ming, Jiang Zhenxin, Gan Yifeng, Zeng Dezhi. Study on Flow Rules of Herschel-Bulkley Fluid in Concentric Annulus of Elliptical Wellbore and Simplified Model for Pressure Drop Calculation[J]. Special Oil & Gas Reservoirs, 2021, 28(2): 156-162.

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