«Onshore and offshore oil and gas well construction»

Calculation of drilling fluids velocity profile of the Herschel-Bulkley rheological model in the annular space of a well

UDC: 622.244.4
DOI: 10.33285/0130-3872-2021-11(347)-22-25

Authors:

¹ Samara State Technical University, Samara, Russian Federation

Keywords: drilling flushing fluids; drilling mud; rheological models; quality of sludge removal; mathematical modeling; velocities profiles

Annotation:

The paper presents the rationale for constructing a mathematical model of the movement of drilling washing fluid in a well annular space. A universal model that describes the largest number of parameters of a non-Newtonian fluid – the three-parameter Herschel-Bulkley model was chosen as a rheological model of the fluid. The relevance of this study is substantiated by the influence of the velocity profile type of the drilling fluid ascending flow on the quality of sludge removal when cleaning the wellbore. Due to the high mathematical complexity of solving differential equations of motion, the Wolfram Mathematica symbolic computing package was used with the implementation of a search for a numerical solution to find the velocities profile.

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