海浪二阶谱及其估计

本文扼要叙述了研究海浪二阶谱的意义,着重介绍了二阶谱的定义与概念,列举了现有几种估计二阶谱的方法,并对其周期图方法中相关函数的定义及推导过程作了更正。另外,我们用实测波面记录进行二阶谱估计,通过分析,得到了一些有益的结果。最后,本文对今后二阶谱的研究提出了一些设想。     

用TOR方法估计海浪二阶谱

介绍了估计二阶谱的TOR方法,较合理地确定了TOR方法中AR模型的阶数,并首次将其应用于实际海浪过程的二阶谱估计。结果表明,用TOR方法对较短的波面序列进行二阶谱估计时,明显优于传统的周期图方法。     

二阶谱理论及在海浪研究中的应用

针对目前国内对于二谱的研究及应用尚不普遍的状况，在参考国外文献以及我们已完成的有关研究基础上，系统地阐述了实过程的二阶谱，交叉二阶谱与矢量过程的旋转二阶谱，旋转交叉二阶谱的定义与概念，重点讨论了实过程二阶谱的有关性质。     

基于RD谱轮廓线的高频地波雷达二阶谱提取

雷达回波谱中的噪声和目标回波会对二阶谱的提取造成困难。基于地波雷达海面回波谱特性,提出了一种采用距离-多普勒谱(RD谱)轮廓线结合一阶和二阶谱特点的二阶谱提取方法。此方法可以通过计算机自动实现对二阶谱的提取,有利于大批数据的分析和工程化系统的实时处理。利用该方法对典型实测雷达回波数据进行了处理和分析。结果表明,RD谱轮廓线能够反映一阶谱和二阶谱的特征,并且不易受噪声和目标的影响;从RD谱轮廓线获得的二阶谱分界点,可以为一维多普勒回波谱中的二阶谱提取提供参考,能够较好地避免由于目标和噪声的影响而导致的二阶谱边界误判问题,准确地分离二阶谱。     

均匀水底上二维随机波面的二阶谱

本文用摄动方法导出了均匀水底上精确至二阶的二维随机波动解。依据此解并将二阶谱定义为三阶矩函数的Fourier变换,首次给出了精确至二阶的二维随机波面二阶谱的理论表达式并简略地考虑了它的各个组成部分的物理意义。     

基于EOS-ELM的高频地波雷达有效波高反演

高频地波雷达(HFSWR)海面回波谱中包含海态信息,通常基于一阶谱和二阶谱特征信息分别建立拟合模型来反演有效波高,但是单独利用一阶和二阶谱信息来反演波高,会分别存在一阶谱能量饱和和二阶谱信噪比低的问题。本文基于集成在线顺序极限学习机(EOS-ELM)的方法,利用高频地波雷达数据,综合考虑一阶谱和二阶谱的特征信息来进行有效波高的反演。学习机能够有效选择一阶谱和二阶谱信息,使结果达到最优化,从而提高有效波高的反演精度。针对低海况的数据,本文通过分析确定波高分类阈值,将数据分段进行波高反演,进一步提高了波高反演的精度。     

CTOM方法于海浪二阶谱估计中的应用

自从Hasselmann等人[1]于1963年首次把二阶谱应用于海浪研究以来,二阶谱作为研究随机过程二阶非线性的有效工具,已在许多领域(包括海洋学、地球物理学、流体力学、等离子物理、电讯等)得到广泛应用.人们通过对被研究过程的二阶谱分析,获取在功率谱分析中得不到的信息,能够从其内部结构上比较合理地描述、解释如波-波相互作用、组成波之间能量传输等非线性现象.二阶谱分析技术现正日益受到人们的重视.     

一种稳定的AVO分析方法

振幅随偏移距变化（ＡＶＯ）的分析对时左校正非常敏感。用时间穿估计ＡＶ涌减少时差校正的误差，在每个时窗内，在每个时窗内，使用块ＮＭＯ能避免ＮＭＯ拉伸，剩余ＮＭＯ校正通过迭代互相关技术实现，时关 正后，时窗内的数据用偏移距坐标为变量表示的多项式乘常数脉冲来模拟。从而避免了数据从偏移琶角度呈慢度域的转换。用最小平方法求解地震脉冲和多项式系数。这种可分离最小平方问题的多项式系数和脉冲能力分别估计。简化的非     

非线性随机海浪模型的一种新形式

以反映随机海浪非线性的波面高度分布高阶矩为参量，提出一种新形式的非线性随机海浪模型，在三阶近似下具体导出其波面高度的表达工和推导出二阶谱。本文模式为Ｌｏｎｇｕｅｔ－Ｈｇｇｉｎｓ模式的另一种新的数学表示。     

太平洋月平均水位周期变化和线性升降趋势

本文分析了太平洋２３６个水位站的月平均序列，对其中大于４５ａ的序列进行二阶谱和二阶凝聚谱分析，表明这些序列中有的周期成相位相关性显著。因此采用考虑非线性效应的混合谱分析方法，重复进行谱分析及周期检验和最小二乘滤波，逐次检验并滤掉最显著的周期分量，求得序列中的显著周期。结果表明水位序列的振动周期因站而异，并非固定不变。讨论了准２ａ大气振周期、与厄尔尼诺事件相关的３－７ａ周期、太阳黑子、双太阳黑子和２     

基于三阶斯托克斯波的谱估计及海浪数值模拟研究

为了拓宽建立深水非线性海浪频谱模型的研究途径,基于三阶斯托克斯波理论,提出了以改进的三阶斯托克斯波为组成波,以修正的自回归模型(AR)谱估计方法得到的估计谱(简称新谱)为靶谱的非线性海浪模型。通过基于模拟频谱和相位谱反演海浪波面高度时间序列(以下简称海浪时历反演方法)的谱比较方法验证了新谱的优越性,为从根本上解决精确评估海浪谱提供了技术支撑,对于增强未来掌控海战场具有重要意义。     

Nonlinear aspects of sea surface temperature in Monterey Bay

Nonlinear aspects of sea surface temperature (SST) in Monterey Bay are examined, based on an 85-year record of daily observations from Pacific Grove, California. Oceanic processes that affect the waters of Monterey Bay are described, processes that could contribute to nonlinearity in the record. Exploratory data analysis reveals that the record at Pacific Grove is non-Gaussian and, most likely, nonstationary. A more recent test for stationarity based on a power law approximation to the slope of the power spectrum indicates that the record is stationary for frequencies up to ∼8 cycles per year (∼45 days), but nonstationary at higher frequencies. To examine the record at Pacific Grove for nonlinear behavior, third-order statistics, including the skewness, statistical measures of asymmetry, the bicorrelation, and the bispectrum, were employed. The bicorrelation revealed maxima located approximately 365 days apart, reflecting a nonlinear contribution to the annual cycle. Based on a 365-day moving window, the running skewness is positive almost 80% of the time, reflecting the overall impact of warming influences. The asymmetry is positive approximately 75% of the time, consistent with the asymmetric shape of the mean annual cycle. Based on the skewness and asymmetry, nonlinearities in the record, when they occur, appear to be event-driven with time scales possibly as short as several days, to several years. In many cases, these events are related to warm water intrusions into the bay, and El Niño warming episodes.The power spectrum indicates that the annual cycle is a dominant source of variability in the record and that there is a relatively strong semiannual component as well. To determine whether or not the annual and semiannual cycles are harmonically related, the bispectrum and bicoherence were calculated. The bispectrum is nonzero, providing a strong indication of nonlinearity in the record. The bicoherence indicates that the annual cycle is a major source of nonlinearity and further implies that the annual and semiannual cycles are harmonically related. Based on the wavelet power spectrum (WPS), the appearance of the semiannual cycle is transitory; however, pathways between the annual and semiannual cycles appear at certain times when nonlinear interaction between them could occur. Comparisons between the WPS and the running skewness suggest that there is a tendency for periods when pathways exist, to coincide with increased positive skewness, and, often, with El Niño warming episodes. The Hilbert-Huang transform, a relatively new tool for nonstationary and nonlinear spectral analysis, was used to further examine the origin of the semiannual cycle. The time-dependent Hilbert spectrum reveals large and erratic variations in frequency associated with semiannual cycle but far greater stability associated with the annual cycle. As a result, the time-integrated Hilbert spectrum does not indicate the presence of a semiannual cycle. The method of surrogates from the field of nonlinear dynamics was also employed to test the Hopkins record for nonlinearity. Differences between the data and the surrogates were found that were statistically significant, implying the existence of nonlinearity in the record. Using the method of surrogates together with a one-year moving window, El Niño warming episodes appear to be a likely source of nonlinearity, consistent with the other analyses that were performed. Finally, the influence of stochastic variability due to serial correlation in the data was examined by comparing standardized statistics for the observations and for simulations based on an autoregressive model whose properties were obtained from the observations. The magnitude of the variability for the simulations was found to be far less than that associated with the original data, and thus stochastic variability does not appear to be a factor that significantly affects the interpretation of our results.     

A nonlinear model for nonbreaking shoaling random waves

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基于ARMA模型的海浪功率谱估计方法研究

针对经典功率谱估计方法的一些缺点,对随即海浪过程进行了ARMA谱估计的仿真研究,仿真的结果表明ARMA功率谱估计方法在分辨率、平滑和偏差等方面更加有效。     

未破碎变浅随机海浪的非线性模式

利用实测和实验室数据分析了未破碎变浅海浪波面高度分布三阶矩(或波面偏度)相对于Hs/d的空间演化,利用本文的经验关系,在二阶近似下,给出了以Hs/d为参量的非线性波面表示模式,并推导了功率谱、二阶谱以及波面高度分布函数等特征量.文中还讨论了波面偏度和峰度的相关关系.     

Hybrid Analysis Approach for Stochastic Response of Offshore Jacket Platforms

The dynamic response of offshore platforms is more serious in hostile sea environment than inshallow sea.In this paper,a hybrid solution combined with analytical and numerical method is proposedto compute the stochastic response of fixed offshore platforms to random waves,considering wave-struc-ture interaction and non-linear drag force.The simulation program includes two steps:the first step is theeigenanalysis aspects associated the structure and the second step is response estimation based on spectralequations.The eigenanalysis could be done through conventional finite element method conveniently andits natural frequency and mode shapes obtained.In the second part of the process,the solution of theoffshore structural response is obtained by iteration of a series of coupled spectral equations.Consideringthe third-order term in the drag force,the evaluation of the three-fold convolution should be demanded fornonlinear stochastic response analysis.To demonstrate this method,a numerical analysis is carrie     

分析海浪方向谱的扩展本征矢方法Ⅰ.方法的导出

基于交叉谱矩阵可以按本征值划分为信号和含有噪音部分的思想，提出了一种自直接测量数据估计海浪方向谱的方法。该方法称为扩展本征矢方法（EEV），可应用于单点测量系统、仪器阵列以及由二者构成的复合阵列。现有的某些估计方法（如最大似然方法及其扩展形式等）仅是此方法的某种特例。     

Investigation of nonlinear interactions in ocean swell waves usingthe reduced bispectrum

In this paper, a two-dimensional (2-D) reduced bicoherence function which can be calculated via the reduced bispectrum is introduced. The statistical and computational aspects of the 2-D reduced bicoherence function are compared with those of the conventional bicoherence function. It is shown that the proposed technique is less noise-sensitive than the conventional bicoherence estimate. The use of the 2-D reduced bicoherence function to investigate nonlinear interactions in ocean swell waves is also demonstrated. As the 2-D reduced bicoherence can be efficiently calculated, it is proposed to use this novel technique in oceanographic field experiments that require real-time data processing and interpretation     

Deterministic and stochastic evolution equations for fully dispersive and weakly nonlinear waves

This paper presents a new and more accurate set of deterministic evolution equations for the propagation of fully dispersive, weakly nonlinear, irregular, multidirectional waves. The equations are derived directly from the Laplace equation with leading order nonlinearity in the surface boundary conditions. It is demonstrated that previous fully dispersive formulations from the literature have used an inconsistent linear relation between the velocity potential and the surface elevation. As a consequence these formulations are accurate only in shallow water, while nonlinear transfer of energy is significantly underestimated for larger wave numbers. In the present work we correct this inconsistency. In addition to the improved deterministic formulation, we present improved stochastic evolution equations in terms of the energy spectrum and the bispectrum for multidirectional waves. The deterministic and stochastic formulations are solved numerically for the case of cross shore motion of unidirectional waves and the results are verified against laboratory data for wave propagation over submerged bars and over a plane slope. Outside the surf zone the two model predictions are generally in good agreement with the measurements, and it is found that the accuracy of e.g., the energy spectrum and of the third-order statistics is considerably improved by the new formulations, particularly outside the shallow-water range.     

基于单矢量水听器四种方位估计方法

单矢量水听器能同时拾取声场的声压和振速信息,可以估计目标方位。根据不同的噪声背景和信号形式,单矢量水听器有多种方位估计方法。平均声强器的处理方法能很好地抗各向同性的非相干干扰;线谱方位估计能有效检测辐射线谱信号的目标,并进行目标方位估计。当宽带信号中存在线谱相干干扰,以及线谱信号被宽带相干噪声干扰时,上述两种方法不能检测目标。为解决这个问题,新提出了直方图和加权直方图两种方法,直方图方位估计法能抗强线谱相干干扰,并能区分含线谱的多目标;加权直方图方位估计法能从宽带相干干扰中检测目标,估计目标方位。并着重介绍了后两种方法的原理,对四种方法进行了计算机仿真,并用海试结果验证了上述结论。