Title: A new approach to maximising drill bit hydraulic horsepower

Authors: Reza Masoomi; Farshid Torabi

Addresses: Petroleum Systems Engineering, Faculty of Engineering and Applied Science, University of Regina, Regina, SK S4S 0A2, Canada ' Petroleum Systems Engineering, Faculty of Engineering and Applied Science, University of Regina, Regina, SK S4S 0A2, Canada

Abstract: Bit hydraulic horsepower, impact force, and nozzle velocity are the main characteristics and criteria that are used to optimise drilling hydraulics. An optimised drilling hydraulics program can lead to an efficient bottom hole cleaning and improves the penetration rate. In this paper, a new mathematical model is proposed to maximise the bit hydraulic horsepower at different drilling depths. In this model, the mud circulation rate and pump operating pressure are optimised using numerical optimisation technique of constrained nonlinear multivariable function after a proper objective function is defined and the appropriate linear and nonlinear constraints are applied. The proposed model predicts the optimum value of drilling mud circulation rate with less required data and runtime than commercial hydraulic simulators. The results indicated that the predicted optimal mud circulating values are in agreement with the actual field drilling data with the coefficient of determination (R²) of 0.85 for 17 1/2" hole section. Finally, the relative error of 1.1 % is estimated by comparing the proposed model and drilling office simulator. [Received: November 15, 2020; Accepted: August 20, 2021]

Keywords: bit hydraulic horsepower; BHHP; jet impact force; JIF; constrained nonlinear multivariable function; circulation rate; pump pressure.

DOI: 10.1504/IJOGCT.2022.123204

International Journal of Oil, Gas and Coal Technology, 2022 Vol.30 No.3, pp.250 - 264

Received: 13 Nov 2020
Accepted: 20 Aug 2021
Published online: 01 Jun 2022 *

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