Title :
Stability and response of closed loop directional drilling system using linear delay differential equations
Author :
Downton, G.C. ; Ignova, M.
Abstract :
A directionally controlled drilling mechanism has a lateral borehole propagation equation of state composed of spatially delayed feedback terms determined by the distribution of contact points between the borehole and drilling mechanism. A lateral borehole propagation equation is developed for a generic class of steering system. After simplification the resulting linear delay differential equation is partially validated against a Finite Element Model (FEM) of borehole propagation. The linear delay differential equations are then incorporated into various closed loop steering configurations to further demonstrate the efficacy of the approach.
Keywords :
closed loop systems; delays; differential equations; drilling; finite element analysis; linear systems; stability; FEM; Stability; borehole propagation equation; closed loop directional drilling system; delayed feedback; finite element model; linear delay differential equations; steering system; Delay; Equations; Force; Load modeling; Rocks; Shape; Stability analysis; Directional drilling; delay differential equations; quasi-polynomial; stability; steering;
Conference_Titel :
Control Applications (CCA), 2011 IEEE International Conference on
Conference_Location :
Denver, CO
Print_ISBN :
978-1-4577-1062-9
Electronic_ISBN :
978-1-4577-1061-2
DOI :
10.1109/CCA.2011.6044454