TY - JOUR
T1 - Dynamics of a distributed drill string system
T2 - Characteristic parameters and stability maps
AU - Aarsnes, Ulf Jakob F.
AU - van de Wouw, Nathan
PY - 2018
Y1 - 2018
N2 - This paper involves the dynamic (stability) analysis of distributed drill-string systems. A minimal set of parameters characterizing the linearized, axial-torsional dynamics of a distributed drill string coupled through the bit-rock interaction is derived. This is found to correspond to five parameters for a simple drill string and eight parameters for a two-sectioned drill-string (e.g., corresponding to the pipe and collar sections of a drilling system). These dynamic characterizations are used to plot the inverse gain margin of the system, parametrized in the non-dimensional parameters, effectively creating a stability map covering the full range of realistic physical parameters. This analysis reveals a complex spectrum of dynamics not evident in stability analysis with lumped models, thus indicating the importance of analysis using distributed models. Moreover, it reveals trends concerning stability properties depending on key system parameters useful in the context of system and control design aiming at the mitigation of vibrations.
AB - This paper involves the dynamic (stability) analysis of distributed drill-string systems. A minimal set of parameters characterizing the linearized, axial-torsional dynamics of a distributed drill string coupled through the bit-rock interaction is derived. This is found to correspond to five parameters for a simple drill string and eight parameters for a two-sectioned drill-string (e.g., corresponding to the pipe and collar sections of a drilling system). These dynamic characterizations are used to plot the inverse gain margin of the system, parametrized in the non-dimensional parameters, effectively creating a stability map covering the full range of realistic physical parameters. This analysis reveals a complex spectrum of dynamics not evident in stability analysis with lumped models, thus indicating the importance of analysis using distributed models. Moreover, it reveals trends concerning stability properties depending on key system parameters useful in the context of system and control design aiming at the mitigation of vibrations.
KW - Delay equations
KW - Distributed systems
KW - Drill-string vibrations
KW - Infinite dimensional systems
KW - Stability
KW - Stick-slip
UR - http://www.scopus.com/inward/record.url?scp=85041511470&partnerID=8YFLogxK
U2 - 10.1016/j.jsv.2017.12.002
DO - 10.1016/j.jsv.2017.12.002
M3 - Article
AN - SCOPUS:85041511470
SN - 0022-460X
VL - 417
SP - 376
EP - 412
JO - Journal of Sound and Vibration
JF - Journal of Sound and Vibration
ER -