Jack up reliability analysis: An overview

Abstract

Jack up is a mobile unit used for oil and gas exploration and production in offshore fields. On demand, the unit is moved and installed in a given location and used for a period up to 12 months before being un-installed and moved to another location. Due to its mobility and re-usability, when the unit is offered for use in a given offshore location, its suitability in terms of safe operation is evaluated in accordance with the guidelines of Site Specific Assessment (SSA) of jack up. When the unit failed safety assessment criteria, the guideline recommended that it is re-assessed by increasing the complexity of the assumptions and methods used. Reliability analysis theories are one of the frameworks recommended for the safety assessment of the units. With recent developments in uncertainty and reliability analysis of structures subject to stochastic excitation, this study aims at providing a review on the past developments in jack up reliability analysis and to identify possible future directions. The results from literature reviewed shows that failure probabilities vary significantly with analysis method used. In addition, from the variants of reliability analysis approach, the method of time dependent reliability for dynamic structures subject to stochastic excitation have not been implemented on jack ups. Consequently, suggestions were made on the areas that need further examination for improvement of the efficiency in safety assessment of the units using reliability theories.

Keywords

jack up / reliability analysis / uncertainty analysis / review of jack up

References

[1] API. Recommended Practice for Planning, Designing and Constructing Fixed Offshore Platforms—Working Stress Design, 2007

[2] SNAME. Guidelines for Site Specific Assessment of Mobile Jack-Up Units, 2008

[3] Qiu Z, Huang R, Wang X, Qi W. Structural reliability analysis and reliability-based design optimization: Recent advances. Science China. Physics, Mechanics & Astronomy, 2013, 56(9): 1611– 1618

[4] Onoufriou T. Reliability based inspection planning of offshore structures. Marine Structures, 1999, 12(7–8): 521–539

[5] Ditlevsen O, Madsen H O. Structural Reliability Methods. Copenhagen: Department of Mechanical Engineering, Technical Unversity of Denmark, 2007

[6] Onoufriou T, Forbes V J. Developments in structural system reliability assessment of fixed steel offshore platforms. Reliability Engineering & System Safety, 2001, 71(2): 189–199

[7] Ching J, Au S K, Beck J L. Reliability estimation for dynamical systems subject to stochastic excitation using subset simulation with splitting. Computer Methods in Applied Mechanics and Engineering, 2005, 194(12–16): 1557–1579

[8] Sudret B, Defaux G, Pendola M. Time-variant finite element reliability analysis—Application to the durability of cooling towers. Structural Safety, 2005, 27(2): 93–112

[9] Andrzej S, Nowak K, Collins R. Reliability of Structures. Boca Rato: CRC Press, 2012

[10] Bai Y, Cao Y, Kim Y, Yang Y, Jiang H. Time-dependent reliability assessment of offshore jacket platforms. Ships and Offshore Structures, 2015

[11] Shin J, Lee I. Reliability analysis and reliability-based design optimization of roadway horizontal curves using a first-order reliability method. Engineering Optimization, 2015, 47(5): 622–641

[12] Gaspar B, Bucher C, Guedes Soares C. Reliability analysis of plate elements under uniaxial compression using an adaptive response surface approach. Ships and Offshore Structures, 2015, 10(2): 145–161

[13] Rackwitz R. Reliability analysis—a review and some perspective. Structural Safety, 2001, 23(4): 365–395

[14] Yang Y, Yao J P, Yang X J, Yang Z B. The MonteCarlo method in application of fatigue life reliability analysis. Applied Mechanics & Materials, 2013,  395-396: 822–825

[15] Hu Z, Du X. Time-dependent reliability analysis with joint upcrossing rates. Structural and Multidisciplinary Optimization, 2013, 48(5): 893–907

[16] Dong W, Moan T, Gao Z. Fatigue reliability analysis of the jacket support structure for offshore wind turbine considering the effect of corrosion and inspection. Reliability Engineering & System Safety, 2012, 106: 11–27

[17] Guo T, Frangopol D M, Chen Y. Fatigue reliability assessment of steel bridge details integrating weigh-in-motion data and probabilistic finite element analysis. Computers & Structures, 2012, 112–113: 245–257

[18] Feng G Q, Garbatov Y, Guedes Soares C. Fatigue reliability of a stiffened panel subjected to correlated crack growth. Structural Safety, 2012, 36–37: 39–46

[19] He W, Liu J, Xie D. Probabilistic life assessment on fatigue crack growth in mixed-mode by coupling of Kriging model and finite element analysis. Engineering Fracture Mechanics, 2015, 139: 56–77

[20] Yang J, Zhang W, Liu Y. Existence and insufficiency of the crack closure for fatigue crack growth analysis. International Journal of Fatigue, 2014, 62: 144–153

[21] Qin H, Zhou W. Reliability analysis of corroding pipelines considering the growth and generation of corrosion defects. Materials and Joining; Risk and Reliability, 2014, 3: V003T12A010

[22] Melchers R E. The effect of corrosion on the structural reliability of steel offshore structures. Corrosion Science, 2005, 47(10): 2391–2410

[23] Schellin T E, Perić M, el Moctar O. Wave-in-deck load analysis for a Jack-up platform. Journal of Offshore Mechanics and Arctic Engineering, 2011, 133(2): 21303

[24] Andrieu-Renaud C, Sudret B, Lemaire M. The PHI2 method: A way to compute time-variant reliability. Reliability Engineering & System Safety, 2004, 84(1): 75–86

[25] Bisaggio H C, Netto T A. Predictive analyses of the integrity of corroded pipelines based on concepts of structural reliability and Bayesian inference. Marine Structures, 2015, 41: 180–199

[26] Lee L S, Estrada H, Baumert M. Time-dependent reliability analysis of FRP rehabilitated pipes. Journal of Composites for Construction, 2010, 14(3): 272–279

[27] Rice S. Mathematical analysis of random noise. Bell System Technical Journal, 1944, 23(3): 282–332

[28] Stefanou G. The stochastic finite element method: Past, present and future. Computer Methods in Applied Mechanics and Engineering, 2009, 198(9–12): 1031–1051

[29] Ghanem R G, Spanos P D. Stochastic Finite Elements: A Spectral Approach. New York: Springer, 1991, 1–222

[30] Panasenko G. Multi-Scale Modelling for Structures and Composites.New York: Springer, 2005

[31] Presho M, Målqvist A, Ginting V. Density estimation of two-phase flow with multiscale and randomly perturbed data. Advances in Water Resources, 2010, 33(9): 1130–1141

[32] Shokrieh M M, Rafiee R. Stochastic multi-scale modeling of CNT/polymer composites. Computational Materials Science, 2010, 50(2): 437–446

[33] Sakata S, Okuda K, Ikeda K. Stochastic analysis of laminated composite plate considering stochastic homogenization problem. Frontiers of Structural and Civil Engineering, 2015, 9(2): 141–153

[34] Sriramula S, Chryssanthopoulos M K. Quantification of uncertainty modelling in stochastic analysis of FRP composites. Composites. Part A, Applied Science and Manufacturing, 2009, 40(11): 1673–1684

[35] Ghasemi H, Rafiee R, Zhuang X, Muthu J, Rabczuk T. Uncertainties propagation in metamodel-based probabilistic optimization of CNT/polymer composite structure using stochastic multi-scale modeling. Computational Materials Science, 2014, 85: 295–305

[36] Qin H, Zhang S, Zhou W. Inverse Gaussian process-based corrosion growth modeling and its application in the reliability analysis for energy pipelines. Frontiers of Structural and Civil Engineering, 2013, 7(3): 276–287

[37] Idris A, Harahap I, Ali M. Efficiency of trigonometric and eigen function methods for simulating ocean wave profile. Indian Journal of Science and Technology, 2017, 10(4)

[38] Vanmarcke E H. On the distribution of the first-passage time for normal stationary random processes. Journal of Applied Mechanics, 1975, 42(1): 215

[39] Hu Z, Du X. Reliability analysis for hydrokinetic turbine blades. Renewable Energy,  2012,  48(6): 251–262

[40] Valdebenito M A, Jensen H A, Labarca A A. Estimation of first excursion probabilities for uncertain stochastic linear systems subject to Gaussian load. Computers & Structures, 2014, 138: 36–48

[41] He J. Numerical calculation for first excursion probabilities of linear systems. Probabilistic Engineering Mechanics, 2009, 24(3): 418–425

[42] Chan W K. Theory and Applications of Monte Carlo Simulations.Rijeka: InTech, 2013

[43] Papaioannou I, Papadimitriou C, Straub D. Sequential importance sampling for structural reliability analysis. Structural Safety, 2016, 62: 66–75

[44] Schneider R, Thöns S, Straub D S. Reliability analysis and updating of deteriorating systems with subset simulation. Structural Safety, 2017, 64: 20–36

[45] Lu Z, Song S, Yue Z, Wang J. Reliability sensitivity method by line sampling. Structural Safety, 2008, 30(6): 517–532

[46] Zhao W, Fan F, Wang W. Non-linear partial least squares response surface method for structural reliability analysis. Reliability Engineering & System Safety, 2017, 161: 69–77

[47] Ulaganathan S, Couckuyt I, Dhaene T, Degroote J, Laermans E. Performance study of gradient-enhanced kriging. Engineering with Computers, 2016, 32(1): 15–34

[48] Chojaczyk A A, Teixeira A P, Neves L C, Cardoso J B, Guedes S C. Review and application of artificial neural networks models in reliability analysis of steel structures. Structural Safety, 2015, 52(3): 78–89

[49] Vu-Bac N, Lahmer T, Zhuang X, Nguyen-Thoi T, Rabczuk T. A software framework for probabilistic sensitivity analysis for computationally expensive models. Advances in Engineering Software, 2016, 100: 19–31

[50] Jensen J J, Mansour A E, Pedersen P T. Reliability of Jack-up platform against overturning. Marine Structures, 1991, 4(3): 203–229

[51] Yasseri S F, Mahani R B. Overturning reliability analysis of Jack-up platforms using spreadsheet. In: Proceedings of the Asme 32nd International Conference on Ocean, Offshore and Arctic Engineering. New York: ASME, 2013

[52] Leira B J, Karunakaran D. Site-dependent reliability of a mobile Jack-up platform. Marine Structures, 1995, 8(2): 151–169

[53] Azadi M R E A. The effect of possible spud-can punch through on the reliability index of neka drilling type Jack-up platform. Journal of Civil Engineering and Science, 2012, 1(3): 80–89

[54] Shabakhty N. System failure probability of offshore Jack-up platforms in the combination of fatigue and fracture. Engineering Failure Analysis, 2011, 18(1): 223–243

[55] Mirzadeh J, Kimiaei M, Cassidy M J. A framework to efficiently calculate the probability of failure of dynamically sensitive structures in a random sea. Ocean Engineering, 2015, 110: 215–226

[56] Tromans P S, Anatruk A R, Hagemeijer P. New model for the kinematics of large ocean waves application as a design wave. In: Proceedings of the First International Offshore and Polar Engineering Conference. New York: ISOPE, 1991

[57] Mirzadeh J, Kimiaei M, Cassidy M J. Performance of an example Jack-up platform under directional random ocean waves. Applied Ocean Research, 2016, 54: 87–100

[58] Mirzadeh J, Kimiaei M, Cassidy M J. Effects of irregular nonlinear ocean waves on the dynamic performance of an example Jack-up structure during an extreme event. Marine Structures, 2016, 49: 148–162

[59] Azadi M R E. Influence of spud-can-soil interaction modeling and parameters on the reliability index of neka drilling Jack-up platform. In: ASME 2008: Safety Engineering, Risk Analysis, and Reliability Methods. New York: ASME, 2013

[60] Van de Graaf J W, Tromans P S, Vanderschuren L, Jukui B H. Failure probability of a Jack-up under environmental loading in the central north sea. Marine Structures, 1996, 9 (1): 3–24

[61] Cassidy M J, Taylor P H, Taylor R E, Houlsby G T. Evaluation of long-term extreme response statistics of Jack-up platforms. Ocean Engineering, 2002, 29(13): 1603–1631

[62] Shabakhty N, Boonstra H, Gelder P V. System reliability of Jack-up structures based on fatigue degradation. Safety and Reliability, 2003, 1437–1780

[63] Karunakaran D, Leira B J, Moan T. Reliability analysis of drag-dominated offshore structures. In: The Third International Offshore and Polar Engineering Conference. Singapore: International Society of Offshore and Polar Engineers, 1993

[64] Frieze P A, Morandi A C, Birkinshaw M, Smith D, Dixon A. Fixed and Jack-up platforms: Basis for reliability assessment. Marine Structures, 1997, 10(2-4): 263–284

[65] Dier A F, Morandi A C, Smith D, Birkinshaw M, Dixon A. A comparison of jacket and jack-up structural reliability. Marine Structures, 2001, 14(4–5): 507–521

[66] Jensen J J, Capul J. Extreme response predictions for jack-up units in second order stochastic waves by FORM. Probabilistic Engineering Mechanics, 2006, 21(4): 330–337

[67] Shabakhty N. Comparing fatigue reliability of jack-up platforms based on selected nonlinear stress models. In: Proceedings of the 27th International Conference on Offshore Mechanics and Arctic Engineering. New York: ASME, 2008

[68] Shabakhty N. Fracture reliability of Jack-up platforms under extreme environmental loads. In: Proceedings of the ASME 30th International Conference on Ocean, Offshore and Arctic Engineering. New York: ASME, 2008

[69] Manuel L. A Study of the N Onlinearities, Dynamics, and Reliability of a Drag-Dominated Marine Structure. Palo Alto: Stanford University, 1992

[70] Azadi M R E. Reliability study of neka Jack-up platform under SH-seismic waves, sea-waves and current with considering spud-can-soil interaction. Asme International Conference on Ocean, 2009: 505–514

[71] June J. OMAE2010-20003. 2016

[72] Morandi A C, Smith I A A, Virk G S. Reliability of Jack-ups under extreme storm conditions. Marine Structures, 2001, 14(4–5): 523–536

[73] Cassidy M J, Taylor R E, Houlsby G T. Analysis of Jack-up units using a constrained new wave methodology. Applied Ocean Research, 2001, 23(4): 221–234

[74] Cassidy M J. Non-Linear Analysis of Jack-Up Structures Subjected to Random Waves. Oxford: University of Oxford, 1999

[75] Daghigh M, Hengst S, Vrouwenvelder A, Boonstra H. Reliability Analysis of Dynamic Structures. Scientia Iranica, 2003, 10(1): 1–12

[76] Valdebenito M A, Jensen H A, Labarca A A, He J, Au S K, Beck J L. Estimation of first excursion probabilities for uncertain stochastic linear systems subject to Gaussian load. Probabilistic Engineering Mechanics, 2014, 24(3): 418–425

[77] Sclavounos P D. Karhunen-Loeve representation of stochastic ocean waves. Proceedings Mathematical Physical & Engineering Sciences. 2012,  468(2145): 2574–2594

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