Reliability-Based Assessment of Cracked Pipelines Using Monte Carlo Simulation Technique With CorLAS™

Xinfang Zhang, Qianyue Zheng, J. Leung, S. Adeeb
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Abstract

If not assessed properly, unstable crack growth in pipelines could result in detrimental leaks or ruptures. Fracture mechanics models are typically used to assess the susceptibility of pipelines to fail due to the presence of cracks or crack-like anomalies. To this end, an inelastic (or elastic-plastic) fracture mechanics model, known as CorLAS™ model, has been developed and frequently used by pipeline operators. This paper first reviews the development of the CorLAS™ model and derives the probabilistic characteristics, including mean and coefficient of variation (COV) associated with the CorLAS™ model using a collection of 94 full-scale burst test data from the literature. A comprehensive reliability assessment of cracked pipes based on the CorLAS™ model is performed through the Monte Carlo Simulation (MCS) method. For each reported scenario, the probability of failure (PoF) is calculated by MCS that considers the uncertainties associated with various parameters such as pipe geometry, material properties, and the uncertainty due to the fracture model itself, namely, the model error. Finally, a sensitivity study is conducted considering various input parameters, including pipe grade, pipe diameter, wall thickness, ratio of crack length to depth, ratio of crack depth to wall thickness, and model error COV. The results suggest that the PoFs are highly sensitive to the COV, i.e., the PoFs increase significantly with the increase of the COVs, while the effects of other input parameters on the PoFs are insignificant. It is also shown that the model error COV of CorLAS™ with a value of 13% could serve as a reference value for future model error studies.
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基于蒙特卡罗模拟技术的裂纹管道可靠性评估
如果评估不当,管道中不稳定的裂纹增长可能导致有害的泄漏或破裂。断裂力学模型通常用于评估管道因裂纹或类裂纹异常而失效的易感性。为此,人们开发了一种非弹性(或弹塑性)断裂力学模型,即CorLAS™模型,并经常被管道运营商使用。本文首先回顾了CorLAS™模型的发展,并利用文献中收集的94个全尺寸爆炸试验数据,推导了CorLAS™模型的概率特征,包括平均值和变异系数(COV)。采用蒙特卡罗仿真(Monte Carlo Simulation, MCS)方法,基于CorLAS™模型对裂纹管道进行了全面的可靠性评估。对于每种报告的场景,失效概率(PoF)都是由MCS计算的,MCS考虑了与各种参数相关的不确定性,如管道几何形状、材料特性以及由断裂模型本身引起的不确定性,即模型误差。最后,考虑管道等级、管径、管壁厚度、裂缝长深比、裂缝深度与壁厚比、模型误差COV等多种输入参数,进行敏感性研究。结果表明,pfs对冠状病毒高度敏感,随着冠状病毒的增加,pfs显著增加,而其他输入参数对pfs的影响不显著。CorLAS™模型误差COV值为13%,可作为未来模型误差研究的参考值。
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