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Computational Mechanics

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01.11.2015 | Original Paper

Computational modeling of the nonlinear stochastic dynamics of horizontal drillstrings

verfasst von: Americo Cunha Jr, Christian Soize, Rubens Sampaio

Erschienen in: Computational Mechanics | Ausgabe 5/2015

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Abstract

This work intends to analyze the nonlinear stochastic dynamics of drillstrings in horizontal configuration. For this purpose, it considers a beam theory, with effects of rotatory inertia and shear deformation, which is capable of reproducing the large displacements that the beam undergoes. The friction and shock effects, due to beam/borehole wall transversal impacts, as well as the force and torque induced by bit–rock interaction, are also considered in the model. Uncertainties of bit–rock interaction model are taken into account using a parametric probabilistic approach. Numerical simulations have shown that the mechanical system of interest has a very rich nonlinear stochastic dynamics, which generate phenomena such as bit-bounce, stick-slip, and transverse impacts. A study aiming to maximize the drilling process efficiency, varying drillstring velocities of translation and rotation is presented. Also, the work presents the definition and solution of two optimizations problems, one deterministic and one robust, where the objective is to maximize drillstring rate of penetration into the soil respecting its structural limits.

Vorheriger Artikel A low frequency elastodynamic fast multipole boundary element method in three dimensions

Nächster Artikel Stabilized plane and axisymmetric Lobatto finite element models

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Batou A, Soize C (2009) Identification of stochastic loads applied to a non-linear dynamical system using an uncertain computational model and experimental responses. Comput Mech 43:559–571. doi:10.1007/s00466-008-0330-y MathSciNetCrossRef

Bazoune A, Khulief YA, Stephen NG (2003) Shape functions of three-dimensional Timoshenko beam element. J Sound Vib 259:473–480. doi:10.1006/jsvi.2002.5122 CrossRef

Ben-Tal A, Ghaoui LE, Nemirovski A (2009) Robust optimization. Princeton University Press, PrincetonMATHCrossRef

Beyer HG, Sendhoff B (2007) Robust optimization: a comprehensive survey. Comput Methods Appl Mech Eng 196:3190–3218. doi:10.1016/j.cma.2007.03.003 MATHMathSciNetCrossRef

Bonet J, Wood RD (2008) Nonlinear continuum mechanics for finite element analysis, 2nd edn. Cambridge University Press, CambridgeMATHCrossRef

Capiez-Lernout E, Soize C (2008a) Design optimization with an uncertain vibroacoustic model. J Vib Acoust 130(021):001. doi:10.1115/1.2827988

Capiez-Lernout E, Soize C (2008b) Robust design optimization in computational mechanics. J Appl Mech 75(021):001. doi:10.1115/1.2775493

Capiez-Lernout E, Soize C (2008) Robust updating of uncertain damping models in structural dynamics for low- and medium-frequency ranges. Mech Syst Signal Process 22:1774–1792. doi:10.1016/j.ymssp.2008.02.005 CrossRef

Chatjigeorgiou IK (2013) Numerical simulation of the chaotic lateral vibrations of long rotating beams. Appl Math Comput 219:5592–5612. doi:10.1016/j.amc.2012.11.076 MATHMathSciNetCrossRef

10.

Chevallier A (2000) Nonlinear stochastic drilling vibrations. Ph.D Thesis, Rice University, Houston

11.

Cull SJ, Tucker RW (1999) On the modelling of Coulomb friction. J Phys 32:2103–2113. doi:10.1088/0305-4470/32/11/006 MATH

12.

Cunha A Jr (2015) Modeling and uncertainty quantification in the nonlinear stochastic dynamics of a horizontal drillstrings. D.Sc. Thesis, Pontifícia Universidade Católica do Rio de Janeiro/Université Paris-Est

13.

Cunha A Jr, Nasser R, Sampaio R, Lopes H, Breitman K (2014) Uncertainty quantification through Monte Carlo method in a cloud computing setting. Comput Phys Commun 185:1355–1363. doi:10.1016/j.cpc.2014.01.006 CrossRef

14.

Davies RJ, Almond S, Ward RS, Jackson RB, Adams C, Worrall F, Herringshaw LG, Gluyas JG, Whitehead MA (2014) Oil and gas wells and their integrity: Implications for shale and unconventional resource exploitation. Mar Pet Geol. doi:10.1016/j.marpetgeo.2014.03.001

15.

Depouhon A, Detournay E (2014) Instability regimes and self-excited vibrations in deep drilling systems. J Sound Vib 333:2019–2039. doi:10.1016/j.jsv.2013.10.005 CrossRef

16.

Detournay E, Richard T, Shepherd M (2008) Drilling response of drag bits: theory and experiment. Int J Rock Mech Min Sci 45:1347–1360. doi:10.1016/j.ijrmms.2008.01.010 CrossRef

17.

Divenyi S, Savi MA, Wiercigroch M, Pavlovskaia E (2012) Drill-string vibration analysis using non-smooth dynamics approach. Nonlinear Dyn 70:1017–1035. doi:10.1007/s11071-012-0510-3 MathSciNetCrossRef

18.

Franca LFP (2010) Drilling action of roller-cone bits: modeling and experimental validation. J Energy Resour Technol 132:043,101–1–043,101–9. doi:10.1115/1.4003168

19.

Franca LFP, Weber HI (2004) Experimental and numerical study of a new resonance hammer drilling model with drift. Chaos Solitons Fractals 21:789–801. doi:10.1016/j.chaos.2003.12.064 MATHCrossRef

20.

Freudenrich C, Strickland J (2001) How oil drilling works. http://www.howstuffworks.com/oil-drilling

21.

Gilardi G, Sharf I (2002) Literature survey of contact dynamics modelling. Mech Mach Theory 37:1213–1239. doi:10.1016/S0094-114X(02)00045-9 MATHMathSciNetCrossRef

22.

Golub GH, Van Loan CF (2013) Matrix computations, 4th edn. The Johns Hopkins University Press, BaltimoreMATH

23.

Hagedorn P, DasGupta A (2007) Vibrations and waves in continuous mechanical systems. Wiley, ChichesterMATHCrossRef

24.

Hu Y, Di Q, Zhu W, Chen Z, Wang W (2012) Dynamic characteristics analysis of drillstring in the ultra-deep well with spatial curved beam finite element. J Pet Sci Eng 82–83:166–173. doi:10.1016/j.petrol.2012.01.011 CrossRef

25.

Hughes TJR (2000) The finite element method. Dover Publications, New YorkMATH

26.

Hunt KH, Crossley FE (1975) Coefficient of restitution interpreted as damping in vibroimpact. J Appl Mech 42:440–445. doi:10.1115/1.3423596 CrossRef

27.

Jansen JD (1993) Nonlinear dynamics of oilwell drillstrings. Ph.D Thesis, TU Delft, Amsterdam

28.

Khulief YA, Al-Sulaiman FA, Bashmal S (2007) Vibration analysis of drillstrings with self-excited stick-slip oscillations. J Sound Vib 299:540–558. doi:10.1016/j.jsv.2006.06.065 CrossRef

29.

Kroese DP, Taimre T, Botev ZI (2011) Handbook of Monte Carlo methods. Wiley, HobokenMATHCrossRef

30.

Lanczos C (1986) The variational principles of mechanics, 4th edn. Dover Publications, New YorkMATH

31.

Litewka P, Wriggers P (2002) Frictional contact between 3D beams. Comput Mech 28:26–39. doi:10.1007/s004660100266 MATHCrossRef

32.

Liu X, Vlajic N, Long X, Meng G, Balachandran B (2013) Nonlinear motions of a flexible rotor with a drill bit: stick-slip and delay effects. Nonlinear Dyn 72:61–77. doi:10.1007/s11071-012-0690-x MathSciNetCrossRef

33.

Macdonald KA, Bjune JV (2007) Failure analysis of drillstrings. Eng Fail Anal 14:1641–1666. doi:10.1016/j.engfailanal.2006.11.073 CrossRef

34.

Nandakumar K, Wiercigroch M (2013) Stability analysis of a state dependent delayed, coupled two DOF model of drill-stringvibration. J Sound Vib 332:2575–2592. doi:10.1016/j.jsv.2012.12.020 CrossRef

35.

Newmark NM (1959) A method of computation for structural dynamics. J Eng Mech Div 85:67–94

36.

Oberkampf WL, Roy CJ (2010) Verification and validation in scientific computing. Cambridge University Press, CambridgeMATHCrossRef

37.

Oppenheim AV, Schafer RW (2009) Discrete-time signal processing, 3rd edn. Prentice Hall, Englewood Cliffs

38.

Reddy JN (1997) On locking-free shear deformable beam finite elements. Comput Methods Appl Mech Eng 149:113–132. doi:10.1016/S0045-7825(97)00075-3 MATHCrossRef

39.

Ritto TG (2010) Numerical analysis of the nonlinear dynamics of a drill-string with uncertainty modeling. D.Sc. Thesis, Pontifícia Universidade Católica do Rio de Janeiro/Université Paris-Est

40.

Ritto TG, Sampaio R (2012) Stochastic drill-string dynamics with uncertainty on the imposed speed and on the bit–rock parameters. Int J Uncertain Quantif 2:111–124. doi:10.1615/Int.J.UncertaintyQuantification.v2.i2 MathSciNetCrossRef

41.

Ritto TG, Soize C, Sampaio R (2009) Non-linear dynamics of a drill-string with uncertain model of the bit–rock interaction. Int J Non-linear Mech 44:865–876. doi:10.1016/j.ijnonlinmec.2009.06.003 CrossRef

42.

Ritto TG, Soize C, Sampaio R (2010a) Robust optimization of the rate of penetration of a drill-string using a stochastic nonlinear dynamical model. Comput Mech 45:415–427. doi:10.1007/s00466-009-0462-8 MATHCrossRef

43.

Ritto TG, Soize C, Sampaio R (2010b) Stochastic dynamics of a drill-string with uncertain weight-on-hook. J Braz Soc Mech Sci Eng 32:250–258. doi:10.1590/S1678-58782010000300008 CrossRef

44.

Ritto TG, Escalante MR, Sampaio R, Rosales MB (2013) Drill-string horizontal dynamics with uncertainty on the frictional force. J Sound Vib 332:145–153. doi:10.1016/j.jsv.2012.08.007 CrossRef

45.

Sagan H (1992) Introduction to the calculus of variations. Dover Publications, New York

46.

Sahebkar SM, Ghazavi MR, Khadem SE, Ghayesh MH (2011) Nonlinear vibration analysis of an axially moving drillstring system with time dependent axial load and axial velocity in inclined well. Mech Mach Theory 46:743–760. doi:10.1016/j.mechmachtheory.2010.12.003 MATHCrossRef

47.

Sampaio R, Piovan M, Lozano GV (2007) Coupled axial/torsional vibrations of drill-strings by means of non-linear model. Mech Res Commun 34:497–502. doi:10.1016/j.mechrescom.2007.03.005 MATHCrossRef

48.

Savitzky A, Golay MJE (1964) Smoothing and differentiation of data by simplified least squares procedures. Anal Chem 36:1627–1639. doi:10.1021/ac60214a047 CrossRef

49.

Schuëller GI (1997) A state-of-the-art report on computational stochastic mechanics. Probab Eng Mech 12:197–321. doi:10.1016/S0266-8920(97)00003-9 CrossRef

50.

Schuëller GI (2007) On the treatment of uncertainties in structural mechanics and analysis. Comput Struct 85:235–243. doi:10.1016/j.compstruc.2006.10.009 CrossRef

51.

Schuëller GI, Jensen HA (2008) Computational methods in optimization considering uncertainties: an overview. Comput Methods Appl Mech Eng 198:2–13. doi:10.1016/j.cma.2008.05.004 MATHCrossRef

52.

Silveira M, Wiercigroch M (2009) Low dimensional models for stick-slip vibration of drill-strings. J Phys 181(012):056. doi:10.1088/1742-6596/181/1/012056

53.

Soize C (2000) A nonparametric model of random uncertainties for reduced matrix models in structural dynamics. Probab Eng Mech 15:277–294. doi:10.1016/S0266-8920(99)00028-4

54.

Soize C (2001) Maximum entropy approach for modeling random uncertainties in transient elastodynamics. J Acoust Soc Am 109:1979–1996. doi:10.1121/1.1360716 CrossRef

55.

Soize C (2005) A comprehensive overview of a non-parametric probabilistic approach of model uncertainties for predictive models in structural dynamics. J Sound Vib 288:623–652. doi:10.1016/j.jsv.2005.07.009 MATHMathSciNetCrossRef

56.

Soize C (2012) Stochastic models of uncertainties in computational mechanics. Amer Society of Civil Engineers, RestonMATHCrossRef

57.

Soize C (2013) Stochastic modeling of uncertainties in computational structural dynamics—recent theoretical advances. J Sound Vib 332:2379–2395. doi:10.1016/j.jsv.2011.10.010 CrossRef

58.

Soize C, Capiez-Lernout E, Ohayon R (2008) Robust updating of uncertain computational models using experimental modal analysis. AIAA J 46:2955–2965CrossRef

59.

Spanos PD, Chevallier AM, Politis NP (2002) Nonlinear stochastic drill-string vibrations. J Vib Acoust 124:512–518. doi:10.1115/1.1502669 CrossRef

60.

Spanos PD, Chevallier AM, Politis NP, Payne ML (2003) Oil and gas well drilling: a vibrations perspective. Shock Vib Dig 35:85–103CrossRef

61.

Trindade MA, Wolter C, Sampaio R (2005) Karhunen–Loève decomposition of coupled axial/bending vibrations of beams subject to impacts. J Sound Vib 279:1015–1036. doi:10.1016/j.jsv.2003.11.057 MATHCrossRef

62.

Willoughby D (2005) Horizontal directional drilling (HDD): utility and pipeline applications. McGraw-Hill, New York

63.

Wriggers P (2006) Computational contact mechanics, 2nd edn. Springer, New YorkMATHCrossRef

64.

Wriggers P, Zavarise G (2004) Computational Contact Mechanics. In: Stein E, de Borst R, Hughes TJR (eds) Encyclopedia of computational mechanics, vol 2. Wiley, Hoboken, pp 195–226. doi:10.1002/0470091355.ecm033

65.

Wriggers P, Wagner W, Stein E (1987) Algorithms for non-linear contact constraints with application to stability problems of rods and shells. Comput Mech 2:215–230. doi:10.1007/BF00571026 MATHCrossRef

66.

Young DM (2003) Iterative solution of large linear systems. Dover Publications, New YorkMATH

67.

Zhang Y, Sharf I (2009) Validation of nonlinear viscoelastic contact force models for low speed impact. J Appl Mech 76(051):002. doi:10.1115/1.3112739

68.

Zhu X, Liu Y, Tong H (2014) Analysis of reamer failure based on vibration analysis of the rock breaking in horizontal directional drilling. Eng Fail Anal 37:64–74. doi:10.1016/j.engfailanal.2013.11.016 CrossRef

Titel: Computational modeling of the nonlinear stochastic dynamics of horizontal drillstrings
verfasst von: Americo Cunha Jr
Christian Soize
Rubens Sampaio
Publikationsdatum: 01.11.2015
Verlag: Springer Berlin Heidelberg
Erschienen in: Computational Mechanics / Ausgabe 5/2015
Print ISSN: 0178-7675
Elektronische ISSN: 1432-0924
DOI: https://doi.org/10.1007/s00466-015-1206-6

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