Introducing a Rheology Model for Non-Newtonian Drilling Fluids

Rashidi M. Sedaghat A. Misbah B. Sabati M. Vaidyan K. Mostafaeipour A. Dehshiri S.S.H. Almutairi K. Issakhov A.
2021 Hindawi Limited

Geofluids
2021 #2021

An API standard drilling fluid was investigated from laminar to turbulent flow conditions using an in-house-built viscometer at speeds from 200 to 1600 RPM. A power-based method was applied to obtain the apparent viscosity and the shear stress of the water-based drilling mud (WBM) in the annulus of the viscometer. Then, a MATLAB optimization program was developed to obtain model parameters for five rheology models integrated in a generalized Herschel-Bulkley-Extended (HBE) model and two widely used 4-parameter models in drilling industry. It is found that the Bingham, Cross, and HBE rheology models have precisely matched the WBM measurements in the viscometer. A generalized Reynolds number was applied to determine the Darcy friction factor although the PL (power law model) and the HB (Herschel-Bulkley model) exhibited a nonrealistic negative shift from the laminar friction factor.

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Petroleum Engineering Department, Australian College of Kuwait, Kuwait
Mechanical Engineering Department, Australian College of Kuwait, Kuwait
Electrical Engineering Department, Australian College of Kuwait, Kuwait
Industrial Engineering Department, Yazd University, Yazd, Iran
Department of Mechanical Engineering, Sharif University of Technology, Tehran, Iran
Applied College, Mechanical Engineering Technology, University of Hafr Al Batin, Saudi Arabia
Faculty of Mechanics and Mathematics, Department of Mathematical and Computer Modelling, Al-Farabi Kazakh National University, Almaty, 050040, Kazakhstan
Department of Mathematics and Cybernetics, Kazakh-British Technical University, Almaty, 50000, Kazakhstan

Petroleum Engineering Department
Mechanical Engineering Department
Electrical Engineering Department
Industrial Engineering Department
Department of Mechanical Engineering
Applied College
Faculty of Mechanics and Mathematics
Department of Mathematics and Cybernetics

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