A control oriented guided tour in oilwell drilling vibration modeling

Martha Belem Saldivar (1) , Sabine Mondié (2) , Silviu-Iulian Niculescu (3, 4) , Hugues Mounier (3) , Islam Boussaada (3, 4, 5)

1 CONACYT - Consejo Nacional de Ciencia y Tecnología [Mexico]
2 CINVESTAV-IPN - Departamento de Control Automático
3 L2S - Laboratoire des signaux et systèmes
4 DISCO - Dynamical Interconnected Systems in COmplex Environments
5 IPSA - Institut Polytechnique des Sciences Avancées

In drilling operations, the interaction of the drillstring with the borehole leads to vibrations affecting the performance and increasing the drilling cost. The development of controllers to get a faster and efficient drilling operation is based on a mathematical modeling allowing a proper system characterization and the identification of the vibration sources to avoid them or mitigate their influence. This paper presents an overview of the modeling of axial and torsional self-excited drilling vibrations.

Keywords: Self-excited drilling vibrations; Stick-slip; Bit-bounce; Lumped parameter models; Distributed parameter models; Wave equation; Frictional torque

Domains: Automatic; Dynamical Systems [math.DS]

Martha Belem Saldivar, Sabine Mondié, Silviu-Iulian Niculescu, Hugues Mounier, Islam Boussaada. A control oriented guided tour in oilwell drilling vibration modeling. Annual Reviews in Control, 2016, 42, pp.100-113. ⟨10.1016/j.arcontrol.2016.09.002⟩. ⟨hal-01425845⟩