Open AccessStability analysis of pressure and penetration rate in rotary drilling system
Author(s) -
Rhouma Mlayeh
Publication year - 2022
Publication title -
discrete and continuous dynamical systems. series s
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.481
H-Index - 34
eISSN - 1937-1632
pISSN - 1937-1179
DOI - 10.3934/dcdss.2022007
Subject(s) - backstepping , drilling , pressure control , control theory (sociology) , petroleum engineering , nonlinear system , rate of penetration , controller (irrigation) , pressure system , mechanical engineering , control system , computer science , geology , engineering , control (management) , adaptive control , physics , agronomy , quantum mechanics , artificial intelligence , biology , electrical engineering
The purpose of this paper is to stabilize the annular pressure profile throughout the well bore continuously while drilling. A new nonlinear dynamical system is developed and a controller is designed to stabilize the annular pressure and achieve asymptotic tracking by applying feedback control of the main pumps. Hence, the paper studies the control design for the well known Managed Pressure Drilling system (MPD). MPD provides a closed loop drilling process in which pore pressure, formation fracture pressure, and bottomhole pressure are balanced and managed at surface. Although, responses must provide a solution for critical downhole pressures to preserve drilling efficiency and safety. Our MPD scheme is elaborated in reference to a nontrivial backstepping control procedure, and the effectiveness of the proposed control laws is shown by simulations.