A. Christoforou and A. Yigit, Fully coupled vibrations of actively controlled drillstrings, Journal of Sound and Vibration, vol.267, issue.5, pp.1029-1045, 2003.
DOI : 10.1016/S0022-460X(03)00359-6

P. Coussot, F. Bertrand, and B. Herzhaft, Rheological Behavior of drilling muds, characterization using MRI vizualization. Oil and Gas Science and Technology, pp.23-29, 2004.

M. Escudier, P. Oliveira, and F. Pinho, Fully developed laminar flow of purely viscous non-Newtonian liquids through annuli, including the effects of eccentricity and inner-cylinder rotation, International Journal of Heat and Fluid Flow, vol.23, issue.1, pp.52-73, 2002.
DOI : 10.1016/S0142-727X(01)00135-7

E. Jaynes, Information theory and statistical mechanics. The Physical Review, pp.1620-630, 1957.

E. Jaynes, Information theory and statistical mechanics II. The Physical Review, pp.171-190, 1957.
DOI : 10.1103/physrev.108.171

Y. Khulief, F. Al-sulaiman, and S. Bashmal, Vibration analysis of drillstrings with self-excited stick???slip oscillations, Journal of Sound and Vibration, vol.299, issue.3, pp.540-558, 2007.
DOI : 10.1016/j.jsv.2006.06.065

K. Macdonald and J. Bjune, Failure analysis of drillstrings, Engineering Failure Analysis, vol.14, issue.8, pp.1641-1666, 2007.
DOI : 10.1016/j.engfailanal.2006.11.073

M. Mignolet and C. Soize, Stochastic reduced order models for uncertain geometrically nonlinear dynamical systems, Computer Methods in Applied Mechanics and Engineering, vol.197, issue.45-48, pp.45-483951, 2008.
DOI : 10.1016/j.cma.2008.03.032

URL : https://hal.archives-ouvertes.fr/hal-00686140

M. Paidoussis, T. Luu, and S. Prabhakar, Dynamics of a long tubular cantilever conveying fluid downwards, which then flows upwards around the cantilever as a confined annular flow, Journal of Fluids and Structures, vol.24, issue.1, pp.111-128, 2007.
DOI : 10.1016/j.jfluidstructs.2007.07.004

T. Ritto, R. Sampaio, and C. Soize, Drill-string dynamics coupled with the drilling fluid dynamics, Proceedings of the XIII DINAME, 2009.
URL : https://hal.archives-ouvertes.fr/hal-00691722

C. Shannon, A Mathematical Theory of Communication, Bell System Technical Journal, vol.27, issue.3, pp.379-423, 1948.
DOI : 10.1002/j.1538-7305.1948.tb01338.x

C. Soize, A nonparametric model of random uncertainties for reduced matrix models in structural dynamics, Probabilistic Engineering Mechanics, vol.15, issue.3, pp.277-294, 2000.
DOI : 10.1016/S0266-8920(99)00028-4

URL : https://hal.archives-ouvertes.fr/hal-00686293

C. Soize, Random matrix theory for modeling uncertainties in computational mechanics, Computer Methods in Applied Mechanics and Engineering, vol.194, issue.12-16, pp.12-161333, 2005.
DOI : 10.1016/j.cma.2004.06.038

URL : https://hal.archives-ouvertes.fr/hal-00686187

P. Spanos, A. Sengupta, R. Cunningham, and P. Paslay, Modeling of Roller Cone Bit Lift-Off Dynamics in Rotary Drilling, Journal of Energy Resources Technology, vol.117, issue.3, pp.197-207, 1995.
DOI : 10.1115/1.2835341

P. D. Spanos, A. M. Chevallier, N. P. Politis, and M. L. Payne, Oil and Gas Well Drilling: A Vibrations Perspective. The Shock and Vibration Digest, pp.85-103, 2003.

R. J. Serfling, Approximation Theorems of Mathematical Statistics, 1980.

R. Tucker and C. Wang, Torsional vibration control and cosserat dynamics of a drill-rig assembly, Meccanica, vol.38, issue.1, pp.143-159, 2003.