对流槽湍流涡旋结构特征的小波分析

为研究夹卷层的湍流特性,用对流槽模拟大气对流边界层并做湍流温度测量.能谱分析表明,混合层湍流谱幂律接近“-5/3”次律;而夹卷层湍流谱幂律有明显的分段特征.利用离散正交小波对其湍流脉动信号进行去噪和尺度分解,将原始信号分成均匀各向同性小尺度涡旋成分和大尺度涡旋成分,并对分解后的信号做能谱分析.结果表明,不论是在混合层还是在夹卷层,小涡都能很好地满足Kolmogorov的“-5/3”次律;而大尺度涡旋则在混合层和夹卷层中表现出不同的特征.     

大气湍流能谱的精细结构及能量级串

利用小波变换和傅里叶分析对近地层大气湍流脉动资料进行了分析,发现波数空间能谱著名 的“-5/3”标度律成立的区间中存在突变点;还发现对应于小波变换时间尺度2j,j=1, 2,…,j0,高频分量按照2(j-2)-1(j>1)的方式级串,这符合同步级串的物理图象 ;在标度区间内高频分量作用于幂律局部特征的效果是平均的,不存在影响标度指数的特征 频谱. 利用不同高度大气湍流资料和不同小波基函数作变换,结果是一致的. 我们还对H= 1/3的分形布朗运动产生的随机序列进行了对比实验,发现从能谱角度,实际发达大气湍流 偏离高斯分布的程度很小,二者的差别只在高阶标度律时明显.      

位场小波分析的物理解释

采用二进小波变换,构造了位场基小波,通过简单模型,分析了位场信号小波分解与重构的物理实质,阐明了小波变换的频带分布与“归一化”位场空间分布的一致性,以及小波重构的规律,并叙述了小波重构与异常分解的关系.     

大气边界层湍流的动力非平稳性的验证

首次用验证时间序列中是否存在动力非平稳性的一种简单图示方法——space time index法来分析大气边界层湍流的动力平稳性特征.本文以取自淮河流域和威斯康星森林下垫面条件下的三维高精度风速和温度、湿度湍流脉动资料对大气边界层湍流的平稳性特征进行了分析.结果表明space time index方法能有效地检验大气边界层湍流信号中是否存在动力平稳性.另外,均匀下垫面条件（水稻田）及复杂下垫面条件（森林）下的大气边界层湍流信号中几乎都存在动力非平稳性,大气湍流动力学非平稳性可能是边界层湍流信号相当普遍具有的一种特性.大气边界层湍流中的间歇性和相干结构使得其非平稳性图形的特征不同于一般时间序列非平稳性图形的“V”型特征;森林下垫面条件下的湍流信号比相对均匀下垫面（水稻田）下的湍流信号更有组织性,相干结构更强.     

城市冠层中温度脉动的硬湍流特性和相似性级串模型

通过观测实验发现, 热对流条件下城市冠层湍流温度脉动具有“硬湍流”特征, 两点温度差具有指数型概率密度分布; 观测实验同时也得到湍流能量耗散率ε符合对数-正态分布, 这与Kolmogorov 1962年提出的假设和已经报道的大量实验结果相一致. 我们根据相似性级串模型导出的“硬湍流”温度场n阶结构函数的标度指数理论公式ς_n = n/3-μ(n(n+6)/72+[2ln!-nln2]/2ln6) (μ为间歇性指数)与实验测得的结果可以较好地符合到8阶, 优于Kolmogorov理论、β模型和联合对数-正态模型给出的理论结果.     

大气边界层湍流速度场的层次结构分析

对大气边界层的速度脉动时间序列进行了统计分析,发现在大气边界层湍流场中存在She-Leveque(SL)层次相似律,以及在水平速度场、垂直速度场和不同条件下垂直速度场的层次相似律所满足的情况不同,并给出了对应的可能解释.结果指出大气边界层自组织结构的复杂性以及层次相似律对大气边界层湍流脉动描述的有效性.     

地震反射波成像的“三基色”方法

基于动态情形介质参数是频率的复函数,利用复小波变换处理地震勘探反射波数据,求出每时刻瞬时谱曲线,它刻划了该时刻所对应的地层介质性质．本文提供一种全新的由反射波数据绘制地下剖面图以取代反褶积的方法,提出用“三基色”方法来提取这条谱线的特征,合成彩色地下剖面图,并利用特制的小波软件对油田实际资料进行研究．     

基于二阶矩闭合模式平衡解的海浪生湍流混合系数解析估计

从次小尺度海洋运动方程和运动近各向同性假定出发,本文给出高确定性的海洋湍流二阶矩闭合方程和特征量变化方程.这组方程描述波动、涡旋和环流等较大尺度运动对海洋湍流的剪切不稳定性生成机制.同时,基于海浪破碎是湍流海面生成主要机制的认识,本文按破碎海浪统计理论给出湍流特征量变化方程的海面边界条件,包括由破碎能量损耗和卷入深度分别确定的海面动能通量和动能耗散率.根据上层海洋湍流特征量方程的平衡解和关于动能耗散率的观测资料,本文得到海浪生湍流混合系数的解析估计.所得到的海浪生湍流动能耗散率与观测资料进行了定性与定量对比,混合系数与先前Prandtl混合长度理论估计的一致性检验.     

层结海洋中小振幅内行进波的演变和破碎

采用高精度的拟谱方法，数值模拟了层结海洋中小振幅内行进波的演变和破碎过程.在演变过程中，导致内波破碎的PSI不稳定机制在共振相互作用中逐渐占据主导地位，能量从初级波向低频、高波数运动缓慢传递并形成一次级波包，随即破碎发生.破碎后产生的层化湍流引起的强烈混合以及湍流间歇性可从总能量和涡度峰度随时间的变化趋势看出.我们分析了层化湍流的一些统计特性，包括动能和有效位能沿垂向波数ky的功率谱.结果表明，动能和有效位能谱都存在一个谱段满足k-3y律，且分别可表示为01N4k-3y和02N4k-3y(N为Brunt Visl频率)，通常称其为浮力子区.另外，我们分析了Cox数(湍流扩散系数与分子扩散系数之比)，在层化湍流维持在一定强度时，计算结果和由海洋内区观测(远离内波强生成源和复杂地形)所推测的结论较为吻合.     

我国西部高原地区近地层湍流特征的研究

通过对青藏高原第二次大气科学试验(TIPEX)得到的当雄湍流资料的分析,讨论了青藏高原地区的近地层湍流特征.结果显示:速度分量、温度和湿度谱大多满足相似理论的-2/3次方律;高原上无因次垂直速度方差在中性时与前人在平原地区得到的结果比较接近,但高原上无因次水平风速方差值大于平原地区值.在强不稳定层结时,高原观测结果显示无因次垂直速度方差和无因次水平风速方差符合-1/3次方规律.在稳定层结时,风速三个分量的方差都随稳定度z/L的增大有所增大.无因次温度和湿度方差在强不稳定条件下服从-1/3次方规率.稳定条件下无因次温度方差随z/L略有下降趋势,而后趋于常数,无因次湿度方差无明显的规律.在干季以感热通量为主要地面热源,湿季两者贡献相当,潜热通量略大于感热通量.得出了不稳定层结、稳定层结情况下高原的无因次温度结构参数和湿度结构参数与z/L之间的关系,得到了中性层结时整体输送系数的实测结果.     

Oscillation characteristics of summer precipitation in the Huaihe River valley and relevant climate background

Based on the summer precipitation data from the Huaihe River valley and the middle and lower reaches of the Yangtze River from 1922 to 2007,we analyzed the interannual and interdecadal oscillation and probability distribution characteristics of summer precipitation in the Huaihe River valley during the same period,using the wavelet transform and generalized extreme distribution methods.Whereby,we studied the climate background of East Asia Summer Monsoon (EASM),Sea Surface Temperature (SST),East Asia teleco...     

近2000年淮河流域地理环境的变化与洪灾——淮河中游的洪灾与洪泽湖的变化

近2000年来淮河流域的洪涝灾害十分频繁。作者认为淮河中游的洪涝灾害与洪泽湖的演变有非常密切的关系。洪泽湖本是人工筑堤蓄水而形成的。湖区水位的上升与湖底淤高,势必会引起淮河中游发展溯源加积和洪水位的上升。估计鲁台子-蚌埠河段平均每公里河长加积了约3400×10～4t泥沙,由此造成泄洪不畅,加剧了洪害。     

Wavelet power spectrum analysis of heterogeneities from sonic velocity logs

The continuous wavelet transform (CWT) is used to evaluate local variations in the power-law exponents of sonic log data. The resulting wavelet spectrum can be compared with the corresponding global estimates obtained by conventional Fourier transform methods. In Fourier analysis, the fundamental tool used to characterize a fluctuating velocity distribution is the power spectrum. It represents the energy contained in each wavenumber and thus provides information regarding the importance of each scale of heterogeneity. However, important spatial information regarding the location of events becomes implicit in the phase angle of the Fourier transform. In this paper, it is shown how the square of the amplitude of the wavelet transform is related to the Fourier spectrum and how spatial information can be expressed in an explicit manner. Using the conservation of energy, it is shown that the average wavelet power spectrum over the total depth range is equal to the global power spectrum. A Gaussian wavelet is chosen to realize the wavelet transform. Two synthetic sonic logs with exponential and von Karman correlation functions are used to demonstrate the potential of the suggested analysis. Furthermore, the wavelet transform is applied to the KTB (Continental Deep Drilling Program) sonic log data. The wide range of applications of the CWT shows that this transform is a natural tool for characterizing the structural properties of underground heterogeneities. It offers the possibility of separating the multiscale components of heterogeneities.     

A comparative study of the atmospheric circulations associated with rainy-season floods between the Yangtze and Huaihe River Basins

Here we present the results from the composite analyses of the atmospheric circulations and physical quantity fields associated with rainy-season for the selected floods cases over the Yangtze and Huaihe River basins for the 21 years(1990–2010),using the daily rain gauge measurements taken in the 756 stations throughout China and the NCEP/reanalysis data for the rainyseasons(June–July)from 1990 to 2010.The major differences in the atmospheric circulations and physical quantity fields between the Yangtze and Huaihe River basins are as follows:for flooding years of the Yangtze River Basin,the South Asia high center is located further east than normal,the blocking high over the Urals and the Sea of Okhotsk maintains,and the Meiyu front is situated near 30°N whereas for flooding years of the Huaihe River Basin,the South Asia high center is further west than normal,the atmospheric circulations over the mid and high latitudes in the Northern Hemisphere are of meridional distribution,and the Meiyu front is situated near 33°N.In addition,there are distinct differences in water vapor sources and associated transports between the Yangtze and Huaihe River basins.The water vapor is transported by southwesterly flows from the Bay of Bengal and monsoon flows over the South China Sea for flooding years of the Yangtze River Basin whereas by southeast monsoons from the eastern and southern seas off China and monsoon flows over the South China Sea for flooding years of the Huaihe River Basin.     

WAVELET TRANSFORM ANALYSES OF FAULTS DETECTION ON ISOSTATIC GRAVITY ANOMALIES: A CASE STUDY FROM THE QAIDAM BASIN AND ITS ADJACENT AREAS

Isostasy is used to describe a condition to which the Earth's crust and mantle tend, in the absence of disturbing forces. Eliminating the gravity effect of crust, isostatic gravity anomalies contain abundant geological structure information, which can be extracted by edge detection methods of gravity or magnetic anomalies. In order to accurately obtain the edge information, a great variety of methods, such as analytical signal amplitude, tilt angle, theta map θ, etc., have been proposed by domestic and international scholars, and many significant advances have been made in recent days. However, each method has its advantages and disadvantages. Wavelet transform is an effective method developed in recent years. It has the enhanced noise resistance and a feature of multi-scale decomposition, and can be used to identify more detailed information of edge. Here with the aim of demonstrating its effectiveness in faults detection, we established a theoretical geological model, which consists of five geological bodies. The geological bodies with different density present a fault zone and the areas on its sides, as well as two geological bodies with different geological properties. We calculated the gravity anomalies caused by this model, in addition, we added 5% Gaussian noise to the gravity anomalies for a comparative analysis to analyze the effects of wavelet transform on edge detection. Finally, we applied wavelet transform method to the decomposition of isostatic gravity anomalies, obtained 1^st to 5^th order wavelet transform details of the gravity anomalies, and compared with the well-studied faults in the Qaidam Basin and its adjacent areas. The results obtained by wavelet transform matched well with the known faults, the anomalies of different order denote the location of different fault zone(e.g. the Tanan Fault is nearly invisible on the original and the first order isostasy gravity anomalies map, but is well expressed on the second order isostasy gravity anomalies map; The apparent details of the 4^th and 5^th indicate that faults in front of the Saishiteng-Xitieshan Shan are deep faults and they are likely to distribute continuously in the deep underground). Besides, we calculated the estimated depth of isostasy gravity anomalies of different order through power spectrum analysis as well, finding that different faults extend to different depth. For example, the Danghe-Nanshan Fault and the Southern Fault in the middle Qilian Shan are 10km in depth approximately, but the faults in front of the Saishiteng-Xitieshan Shan are more than 70km in depth. In addition, we made two comparative studies, the first one is comparing the results mentioned above with the result through wavelet transform of Bouguer gravity anomalies. The second one is comparing with the results through other edge detection methods of isostatic gravity anomalies. In spite of the inconformity between anomalies and the faults to some extent, which is likely caused by the change of lithology or faults distribution in the deep underground, we finally found that:more subtle details induced from faults can be detected from isostatic gravity anomalies by using wavelet transform because of its feature of multi-scale decomposition. The wavelet transform method is proved to be more accurate and reliable(at least in the Qaidam Basin and its adjacent areas)comparing with other methods.     

再探中国大陆第四纪地壳运动时程

以柴达木盆地新构造运动发生的期次、黄河兰州谷地出现的突出构造事件、阿尔金断裂带第四纪所经历的大运动阶段、攀西裂谷区新构造运动分期、北京地区南段新构造运动波动、全国一些地区断裂活动时序等为例证,再次证明了第四纪以来中国大陆地壳活动具有明显的时段性,４次强烈的构造活动分别发生在上新世末至早更新世初、早更新世中晚期、中更新世中晚期和全新世。其中,以中更新世中晚期地壳活动强度最大、波及范围最广     

小波分析及其在我国地球物理学研究中的应用进展

小波分析在当前数学领域、物理领域和地质领域中,是一个发展迅速的分析工具,它同时具有理论上的深刻性和应用的广泛性.由于小波具有时频分析的重要特性,已经在地球物理的相关问题研究中显示其独特的作用.本文较全面的介绍了小波分析理论基础、发展历史,及其在我国地球物理学研究中的应用进展,并在此基础上对地球物理领域小波分析所存在的问题以及应用前景作了进一步的分析.     

Characteristics of annual runoff variation in major rivers of China

The statistical properties of annual runoff in major rivers of China are studied based on the theory of stochastic process and technology of time series analysis. These properties include the characteristics of intra‐annual and inter‐annual variations of runoff, trends, abrupt changes and periodicities. The new findings from the intensive calculations and appropriate analysis of data in longer period are as follows: (i) compared with the nonuniformity of intra‐annual runoff before 1980, the nonuniformity of intra‐annual runoff in China generally decreased after 1980, except for Huaihe River and Songhua River; (ii) compared with the annual runoff before 1980, the annual runoff in China generally decreased after 1980 except for WangJiaba station in Huaihe River and Ha‐Erbin station in Songhua River; the frequency of continuous low flow and continuous high flow in Haihe River and the downstream of Yellow River is higher than those in other rivers in China; (iii) annual runoff shows a downward trend in major rivers of China especially in Haihe River, Liao River and the midstream and downstream of Yellow River; (iv) there exist certain abrupt changes of annual runoff in major rivers of China; the abrupt change‐points are different among different river basins; and (v) almost periodicities of annual runoff sequences in major rivers of China are generally 20 years below, that is, 3~7 and 12~20 years. The reasons for these changes are mainly caused by climate change and human activities. Copyright © 2011 John Wiley & Sons, Ltd.