考虑测量误差的非马尔可夫Wiener过程内腐蚀预测OA
Internal corrosion prediction for non-Markov Wiener processes considering measurement errors
油气集输管道腐蚀演化行为复杂,实际运行中难以获得充分的数据,且传统经验模型在长期预测中误差较大.为更全面地表征管道腐蚀过程的记忆效应和测量随机误差动态特性,精确预测管道内壁腐蚀深度,提出了一种综合考虑测量误差和记忆效应双重影响下的非马尔可夫维纳过程(Wiener process)预测模型.通过极大似然估计和贝叶斯推理对模型的未知参数进行估计和更新;基于弱收敛理论和首达失效时间的定义,推导出管道腐蚀深度分布的近似解析式,实现管道腐蚀深度的预测.最后,以重庆气矿某天然气管道内壁的腐蚀监测数据为例验证了该方法的有效性.
The corrosion evolution of oil and gas transmission pipelines is highly complicated,and sufficient data on influencing factors are often difficult to obtain in actual operation.Additionally,traditional empirical models produce significant errors in long-term predictions.To more comprehensively characterize the dynamic characteristics associated with memory effects and measurement randomness in pipeline corrosion,this paper proposes a non-Markov Wiener process prediction model considering both measurement errors and historical dependency.Model parameters are estimated and updated using maximum likelihood estimation and Bayesian inference.Based on weak convergence theory and the definition of first-passage failure time,an approximate analytical solution for the distribution of corrosion depth is derived,enabling predictive assessment of internal corrosion progression.Finally,monitoring data from the inner wall of a natural gas pipeline in the Chongqing Gas Mine are used to verify the effectiveness of the proposed method.
陈界学;龙振东;刘翰;田洪军;董莎莎;何泉;尹爱军
中国石油西南油气田分公司重庆气矿,重庆 400021重庆大学 机械与运载工程学院,重庆 400044中国石油西南油气田分公司重庆气矿,重庆 400021中国石油西南油气田分公司重庆气矿,重庆 400021中国石油西南油气田分公司重庆气矿,重庆 400021重庆大学 机械与运载工程学院,重庆 400044重庆大学 机械与运载工程学院,重庆 400044
能源科技
油气集输管道内腐蚀预测非马尔可夫测量误差Wiener退化过程
oil and gas transmission pipelineinternal corrosion predictionnon-Markovmeasurement errorWiener degradation process
《重庆大学学报》 2026 (2)
46-54,9
国家自然科学基金资助项目(52275518). Supported by National Natural Science Foundation of China(52275518).
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