Abstract

In this paper, we present three methods to achieve reliable drillbit angular velocity control for deep drilling operations. We consider a multi-sectional drilling system with the bit off-bottom, which represents the system at the start-up of a drilling operation, e.g., after a connection. The three control procedures are all based on a distributed model for the drilling system. The proposed model has been field validated and considers Coulomb friction between the drillstring and the borehole. The first algorithm we propose combines the industry standard ZTorque controller with a feedforward component. The second procedure is based on a multiplicity-induced-dominancy (MID) design that corresponds to a pole-placement for the downhole state. Finally, the last class of controllers relies on a recursive interconnected dynamics framework. All the controllers are combined with a disturbance rejection procedure whose design is based on a switching-mode approach. These three algorithms are illustrated in simulations with field scenarios on several test-cases. Their complexities, effectiveness and limitations regarding industrial implementation criteria are discussed.

Highlights

  • Extraction of resources in the earth’s subsurface - oil, gas, minerals, and thermal energy - necessitates drilling long slender boreholes from the surface to the subsurface target

  • An adaptive soft sensor has been proposed in [40] for the case of a singlesectional drillstring, we present here a new type of estimator, which is based on our recursive dynamics framework

  • DISTRIBUTED TORSIONAL DYNAMICS We model the dynamics of a directional drilling system of length L (Figure 1)

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Summary

INTRODUCTION

Extraction of resources in the earth’s subsurface - oil, gas, minerals, and thermal energy - necessitates drilling long slender boreholes from the surface to the subsurface target. These oscillations, torsional vibrations can appear due to downhole conditions (such as significant drag, tight annular clearances or formation characteristics [6] for instance) or due to side forces induced by Coulomb friction terms [7] These oscillations are known as stick-slip and are considered to be the most destructive as they may cause fatigue of the equipment, a deterioration of the performance of the process, or a premature failing of the bit [8]. The control law combines three terms: a feed-forward term to compensate the effect of the Coulomb friction terms, a trajectory term, and a stabilization term (that corresponds to a ZTorque PI controller), conforming to the canonical 3-DOF controller design for tracking and disturbance rejection Such an add-on requires a minimal implementation effort for practitioners.

TORSIONAL VIBRATIONS MODEL
TOP-DRIVE BOUNDARY CONDITIONS
DOWNHOLE BOUNDARY CONDITION
RIEMANN INVARIANTS
CONTROL OBJECTIVE AND SPECIFICATIONS
LAPLACE ANALYSIS AND DERIVATION OF THE
MID-CONTROLLER FOR A SINGLE-SECTION DRILLSTRING
COMMENTS OF THE CASE OF A MULTI-SECTIONAL DRILLING DEVICE
RECURSIVE DYNAMICS INTERCONNECTION FRAMEWORK
DOWNHOLE ODE
OUTPUT TRACKING FOR THE TOP-DRIVE ODE
DISTURBANCE REJECTION
BOUNDARY STATE ESTIMATION
SCENARIO A
SCENARIO B
SCENARIO C
IMPLEMENTATION REQUIREMENTS
Findings
CONCLUSION
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