Title: Identification of a Box-Jenkins model for rotary drilling laboratory prototype

Authors: Fesmi Abdul Majeed; Hamad Karki; Mansour Karkoub; Youssef Abdel Magid

Addresses: Department of Mechanical Engineering, The Petroleum Institute, Abu Dhabi, P.O. Box 2533, United Arab Emirates. ' Department of Mechanical Engineering, The Petroleum Institute, Abu Dhabi, P.O. Box 2533, United Arab Emirates. ' Mechanical Engineering Program, Texas A&M University, 228B Texas A&M Engineering Building, Education City, P.O. Box 23874, Doha, Qatar. ' Department of Electrical Engineering, The Petroleum Institute, Abu Dhabi, P.O. Box 2533, United Arab Emirates

Abstract: Conventionally, analytical modelling is used to analyse the dynamics of complex non-linear processes. This paper presents identification of mathematical models by the black box modelling method for non-linear systems. The non-linear system concerned in this work is a laboratory prototype of a rotary drilling rig. The system concerned is distinguished for its additive non-linearity at the output end. The step by step analysis of the procedures and criteria used to select an accurate model for a non-linear process by the black box identification method is explained. The model identified in the paper is a Box-Jenkins model. The model selection procedure uses least squares method, pole zero plots and residual analysis. Accurate simulation results with less than 0.05% error are obtained. The identified Box-Jenkins model is validated by a twofold validation procedure.

Keywords: dynamic modelling; system identification; nonlinear processes; drill string; least squares; Box-Jenkins model; rotary drilling; laboratory prototypes; nonlinear dynamics; mathematical modelling; black box modelling; simulation.

DOI: 10.1504/IJMIC.2012.051082

International Journal of Modelling, Identification and Control, 2012 Vol.17 No.4, pp.302 - 314

Published online: 17 Dec 2014 *

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