多维联合概率理论对三峡工程设计洪水的计算

首次将多维联合概率理论应用到三峡大坝设计洪水的风险分析,并用随机模拟方法(ISPUD)对四维联合概率分布进行了求解,得出在长江上游干流及主要支流来水量出现的不同组合和最不利组合情况下,相应三峡大坝不同联合重现期的设计洪水。可用于三峡工程的风险分析及防洪调度。     

辽东湾海洋工程可靠性设计的海冰参数选取

海冰参数的合理取值是海洋工程海冰灾害风险评估的重要内容。利用1950—2018年的冰情等级(5个等级)数据,进行了1950—2018、1950—1990、1991—2018三种情景下的回归分析,确定了不同时期的冰情等级概率分布密度函数。利用鲅鱼圈雷达观测站2002—2017年的海冰现场实测资料,分别对鲅鱼圈附近海域一般冰厚、最大冰厚、最小冰厚进行概率分布拟合。基于上述概率分布结果,给出不同冰情等级的重现期,进而对海冰作业条件给出的设计参考值进行评价。结果表明:1990年以后2级、3级冰情重现期相对1990年之前变小,4级、5级冰情重现期相对1990年之前变大,规范给出重现期范围已不能代表辽东湾冬季海冰情况。本研究成果可为辽东湾海洋工程可靠性设计提供重要数据支撑。     

Quadrature-based approach for the efficient evaluation of surge hazard

The Joint Probability Method (JPM) has been used for hurricane surge frequency analysis for over three decades, and remains the method of choice owing to the limitations of more direct historical methods. However, use of the JPM approach in conjunction with the modern generation of complex high-resolution numerical models (used to describe winds, waves, and surge) has become highly inefficient, owing to the large number of costly storm simulations that are typically required. This paper describes a new approach to the selection of the storm simulation set that permits reduction of the JPM computational effort by about an order of magnitude (compared to a more conventional approach) while maintaining good accuracy. The method uses an integration scheme called Bayesian or Gaussian-process quadrature (together with conventional integration methods) to evaluate the multi-dimensional joint probability integral over the space of storm parameters (pressure, radius, speed, heading, and any others found to be important) as a weighted summation over a relatively small set of optimally selected nodes (synthetic storms). Examples of an application of the method are shown, drawn from the recent post-Katrina study of coastal Mississippi.     

低速十字路口交通流模型相图

研究由两个单车道构成低速十字路口交通流模型.模型中两车道上的车辆更新遵循无交通灯管制下的并行规则.依据构建相图的原则并采用局部占有概率方法,建立相图,给出相图中的各部分区域的流量表达式.两车道均采用周期边界条件和确定性FI模型进行数值模拟,模拟结果与理论分析精确一致.模型中两条车道的行车规则更接近实际道路交通,该结果为交通管理提供一定的指导作用.     

换道概率对交通系统动能的影响

基于跟车模型的特点,提出了跟车模型的动能变化公式,利用该公式研究换道概率对各车辆动能的影响.数值实验结果表明,换道概率和相对速度对各车辆动能产生较大影响,但换道概率和相对速度会分别降低其动能变化频率和幅度.此外,系统增加的平均动能会随着系统最大换道概率的增加而降低.     

Probability of Sediment Incipient Motion Under Complex Flows

Presented in this paper is a mathematical model to calculate the probability of the sediment incipient motion,in which the effects of the fluctuating pressure and the seepage are considered.The instantaneous bed shear velocity and the pressure gradient on the bed downstream of the backward-facing step flow are obtained according to the PIV measurements.It is found that the instantaneous pressure gradient on the bed obeys normal distribution.The probability of the sediment incipient motion on the bed downstream of the backward-facing step flow is given by the mathematical model.The predicted results agree well with the experiment in the region downstream of the reattachment point while a large discrepancy between the theory and experiment is seen in the region near the reattachment point.The possible reasons for this discrepancy are discussed.     

Probabilistic Approach of Coastal Defense Against Typhoon Attacks for Nuclear Power Plant

With the global wanning and sea level rising, it is widely recognized that there is an increasing tendency of typhoon occurrence frequency and intensity. The defenses code against typhoon attacks for nuclear power plant should be calibrated because of the increasing threat of typhoon disaster and severe consequences. This paper discusses the probabilistic approach of definitions about "probable maximum typhoon" and "probable maximum storm surge" in nuclear safety regulations of China and has made some design code calibrations by use of a newly proposed Double Layer Nested Multi-objective Probability Model (DLNMPM).     

重力数据约束的二维地震层析成像在台湾海峡南部的应用

地震-重力联合反演可以降低多解性,针对大勘探范围内岩石波速-密度关系存在较大散布的问题,引入交叉梯度结构约束构建统一的目标函数是一种有效的解决方案。利用台湾海峡南部HX-13测线进行验证:由于火成岩侵入体的存在,部分区域难以拾取可靠的地震初至,常规的走时反演无法准确恢复基底面的形态。搜集研究区的船测重力资料,根据地震地质条件和数据特点设置合适的反演参数,实现基于物性和结构双重约束的重力-地震联合反演。由对反演结果的分析和解释可以看出,该方法可在很大程度上弥补地震数据不完备的缺陷,使反演过程稳定,并提高模型的可靠性。     

白浪覆盖率模式中参量的研究

在波面位移为正态过程的假定下,推导出一种以平均周期和风速为参量的白浪覆盖率公式W=1-Φ[5.11094[-T/U10]0.7576].依据摩擦风速和U10的表达式,进一步推导出白浪覆盖率依赖于摩擦风速的形式W=1-Φ[0.5227[-T/U]0.7576]].考虑到在实际应用中,经常需要用波龄描述波浪的状态,将白浪覆盖率表示成一种形式简单的波龄的函数W=1-Φ(3.6496ξ0.7576),与Monahan等的海上测量数据符合良好.     

罗源湾船舶溢油风险评价分析

基于罗源湾远期油轮的发展预测,运用概率与数理统计方法计算出罗源湾海域未来 S 年中发生船舶溢油事故的概率基础值为 0.361×10-4/S,进而对罗源湾船舶溢油风险进行预测评价,结果显示:罗源湾海域船舶溢油概率约为每 10 a 一次,每次产生的溢油量约为 57.3 t 原油,经过一个潮周期,油膜面积理论估算值为 0.64 km2.针对罗源湾海域的实际情况,还提出了相应的风险防范措施.