基于蒙特卡洛模拟的升船机承船厢有效水深概率化设计方法

A probabilistic design method for determining the effective water depth of ship lift chamber based on Monte Carlo simulation

  • 摘要: 在升船机工程设计中,承船厢有效水深的确定直接关系到升船机电气拖动系统的功率和整体工程造价。目前,国内外大型升船机承船厢有效水深的确定主要依赖于规范提出的经验公式或物理模型试验,而针对不同类型船舶进出承船厢有效水深确定及其安全通过概率的研究相对较少。本文提出了一种基于蒙特卡洛模拟的承船厢有效水深概率化确定方法将船舶类型、航速、水深变化等关键影响因素视为随机变量,结合以船舶进出承船厢下沉量特性的研究成果,构建了船舶下沉量与航速、船厢水深、船舶吨级及断面系数之间的耦合关系模型。在此基础上,利用蒙特卡洛方法进行大量随机抽样模拟,在给定承船厢有效水深条件下,计算不同类型船舶安全出厢的总体安全概率。以金沙江下游高坝通航工程3 000~8 000 t级升船机工程为例,模拟计算结果表明:按照三峡升船机承船厢船底安全富余量0.60 m的控制标准,要确保占比最大的5000 t级船舶(吃水4.30 m)安全通过,承船厢水深至少需达到5.40 m;要确保最大8000 t级船舶(吃水5.50 m)安全通过,承船厢有效水深至少需要6.80 m。该方法为承船厢有效水深确定提供了一种基于风险分析的概率化设计方法,为大型升船机的优化设计提供了新的理论依据和决策工具。

     

    Abstract: In the engineering design of ship lifts, determining the effective water depth in the ship chamber directly affects the power demand of the electric drive system and the overall project cost. Currently, the determination of effective water depth in the ship chamber of large domestic ship lifts in China primarily relies on empirical formulas specified in design codes or physical model tests. However, the allowable range of surplus water depth in the standard formula is wide and highly subjective, posing certain difficulties for design work. Physical model tests for ships entering and exiting the ship lift chamber are time-consuming and costly and can only analyze the squat of representative vessel types at a fixed speed. They cannot quantitatively evaluate the safety risks associated with different types of ships entering and exiting the chamber at varying speeds and under varying chamber water depths. Meanwhile, research on the squat of different types of vessels during entry into and exit from the ship chamber, as well as the probability of their safe passage, remains relatively limited. This paper proposes a Monte Carlo simulation-based method for determining the effective water depth of the ship chamber, treating key influencing factors—such as vessel type, navigation speed, and water depth variation—as random variables. By integrating prior research findings on vessel squat characteristics during vessel passage through the chamber, a coupled relationship model is established between vessel squat and influencing factors, including speed, chamber water depth, vessel tonnage, and block coefficient. Based on this model, the Monte Carlo method is utilized to perform random sampling simulations, considering key influencing factors such as vessel type, speed, and water depth variations as random variables. For a given effective water depth of the ship lift chamber, the overall safety probability of different types of ships safely passing through the chamber is calculated. Taking the navigation project at the high dams on the lower Jinsha River, which involves ship lifts for 3,000–8,000-ton vessels, as an example, the Monte Carlo simulation results indicate that, according to the standard of a safety margin of 0.60 m under-keel clearance proposed in the design and scientific research of the Three Gorges ship lift, to ensure the safe passage of a 3,000-ton vessel (with a draft of 3.50 m) through the ship lift, the water depth of the ship lift chamber must be at least 4.60 m; to ensure the safe passage of the predominant 5,000-ton-class vessels (with a draft of 4.30 m), the effective water depth of the ship chamber must be at least 5.40 m. To ensure the safe passage of the largest 8,000-ton-class vessels (with a draft of 5.50 m), the required effective water depth of the ship chamber increases to at least 6.80 m. Based on the standard of a safety margin of 0.80 m under-keel clearance, to ensure the safe passage of 3,000-ton vessels through the ship lift, the water depth of the ship lift chamber must be at least 4.80 m; to ensure the safe passage of 5,000-ton vessels, the water depth of the ship lift chamber must be at least 5.60 m; to ensure the safe passage of the largest 8,000-ton vessels, the required effective water depth of the ship lift chamber must be at least 7.00 m. This method provides a probabilistic design approach based on risk analysis for determining the effective water depth of ship chambers. Compared with the standard calculation formula, this method provides a more economical approach to determining the effective water depth of the ship lift chamber and offers a new theoretical basis and decision-making tools for the optimized design of large-scale ship lifts.

     

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