Delay system modeling of rotary drilling vibrations

Abstract : Vibrations in rotary drilling systems are oscillations occurring without being intentionally provoked. They often have detrimental effects on the system performance and are important source of economic losses; drill bit wear, pipes disconnection, borehole disruption and prolonged drilling time. By this chapter, we provide an improved modeling for the rotary drilling system . Among others, the proposed modeling takes into account; the infinite dimensional settings of problem as well as the nonlinear interconnected dynamics.