晋冀蒙交界地区地震时间序列谱的分析与研究

利用快速傅里叶变换和连续小波变换方法对晋冀蒙交界区1494年至2009年间发生的30个M_S≥5.0地震的时间—震级序列的准周期性进行了对比研究。研究结果显示:该区M_S≥5.0地震序列现阶段存在333年的较长稳定周期和77年的中等周期以及11年、8.6年的优势短周期,333年的长周期表明该区5级以上地震高潮期已过,但仍处于地震的较强活跃时段,77年的中等周期表明目前处于5级以上地震成组活动的低潮期,而11年的短周期显示2010年前后周期峰值达到极大值,表明2010年在77年成组活动的低潮期内有一次小的高潮,而8.6年的短周期显示周期已于2007年达到峰值极大值。相比于傅里叶变换,小波变换方法不仅能够分辨出地震活动的优势准周期性,而且能够对不同周期在不同时段的活跃程度给出清晰的描述,对当前及未来地震活动趋势的判断相对更准确。     

Hartley变换在地震波研究中的应用

1942年,Hartley在傅立叶变换基础上进行改进,提出Hartley变换,Hartley变换(HT)是一种实数域内的变换,比傅立叶变换(FT)至少减少一半的空间和时间.本文介绍了Hartley变换在地震波研究中的应用,包括强震数据转换、地震动模拟中的变换问题,举例说明了Hartley变换在节约计算空间和提高计算效率上的优越性.     

基于多参量的模拟退火全局优化傅里叶有限差分算子

傅里叶有限差分法(FFD)能够处理复杂地质构造中的波传播问题,但对陡倾角成像仍有明显的误差.优化参数的方法能够在保持计算效率的前提下进一步提高陡倾角的成像精度.本文在有理近似的基础上,将FFD算子展开式中的常系数由两个拓展为四个,然后采用模拟退火算法对这四个参数进行全局优化.本方法除了考虑速度对比度以外,还考虑了频率和延拓步长等参量的影响.理论误差分析和脉冲响应测试均表明该方法能极大地提高FFD算子的精确传播角度.二维SEG/EAGE盐丘模型实验表明本文方法对陡倾角以及盐下构造的成像精度明显高于未优化的FFD法.将本文的方法与交替方向加插值的方法结合应用于三维脉冲响应测试更进一步证实了本文方法的有效性.     

阿拉善左旗5.8级地震前地脉动信号特征分析

本文针对2015年4月15日发生在南北地震带北端的阿拉善左旗5.8级地震,利用乌海台、东升庙台、石嘴山台的连续数字地震波形资料,采用快速傅里叶变换对三个台站的2015年4月1日00时—4月15日23时波形数据进行分析,并持续跟踪0~0.25 Hz包络幅值极大值的变化形态。结果显示:(1)在5.8级地震前,震中附近的乌海地震台、东升庙地震台、石嘴山地震台记录的地震波形均出现频谱向低频偏移的现象;(2)三个台站出现低频异常的包络幅值极大值跟踪形态不一致,其中只有乌海台在震前出现明显的持续不稳定异常,异常持续时间约120h;(3)三个台站距离震中由近及远包络幅值极大值的跟踪形态差异明显。     

近断层应力变化快速计算方法及对强余震空间分布的指示意义:以M_w7.9汶川地震为例

构造地震一般由断层摩擦失稳所致.断层内部及周边所累积的剪切形变则通过同震滑动位移得到局部释放.因此,震后断层内部及近断层周边的静态剪切应力变化量的空间分布可通过断层面上的滑动位移分布计算得到.本文采用傅氏变换方法(FTM)计算单一有限断层同震滑移场所形成的静态剪切应力变化分布,近断层两侧的应力变化计算可由波数域内应力近似算法获得.结果表明,FTM快速有效、易于实现,有效地避免了常规应力计算中奇异值的出现.以2008年Mw7.9中国汶川大地震为例,采用前人所得有限断层滑动位移模型,得到了断层面和近断层周边准3D剪切应力分布解,并同主震后中强余震的空间分布特征作了比较.结果表明,大部分的中强余震震源位置处于剪切应力变化值为正的区域,由同震位移所产生的局部应力降峰值和均值大小同应力变化的正值大致相当,从而表明了快速且有效地计算断层内部及近断层附近的应力变化分布可以为主震后强余震发生的潜在区域提供指示意义.需要强调的是,应力变化空间分布特征的获取强烈地依赖于有限断层滑移模型解.有关滑动位移反演解的多解性对应力变化计算结果的影响,本文作了必要的讨论.     

A Single-Station Spectral Model of the Monthly Median foF2 and M(3000)F2

A new single-station model (SSM) for monthly median values of the ionospheric parameters foF2 and M(3000)F2 has been developed. Fourier analysis provides a tool for decomposing the time-varying ionospheric parameters. The 12–month smoothed sunspot number R ₁₂ was used as an external solar characteristic because of its availability and predictability. However, for the first time, the solar activity is described not only by R ₁₂ , but also by the linear coefficient K _R representing the tendency of the change of solar activity. A general non-linear approximation of the influence of the solar-cycle characteristics R ₁₂ and K _R and ionospheric parameters foF2 and M(3000)F2 was accepted. The new SSM is applied to several European stations and its statistical evaluation shows better results than the other two SSMs used in the paper. The approach described in the paper does not contradict the use of different synthetic ionospheric indices (as the T-index, MF2–index); the basic aim is to show only that using one additional new characteristic of the solar-cycle variations, such as K _R , improves the monthly median model.     

基于VAP卫星的等离子体层顶电子密度波动统计分析

基于范艾伦辐射带探测卫星的观测数据（2012年9月至2015年11月）,收集了584个等离子体层顶密度波动事件,研究了这些事件分布随磁地方时、磁壳值以及地磁活动的变化关系,并使用快速傅里叶变换分析了全部事件平均功率谱.统计结果表明,等离子体层顶密度波动事件主要发生在磁地方时黄昏扇区,其分布与磁地方时和地磁活动具有明显的相关性.等离子体层顶密度波动在1~100 mHz区间内具有接近-5/3的功率谱斜率,表明存在二维磁流体动力学湍流.本文统计结果将有助于进一步深入理解等离子体层顶密度波动在内磁层中能量传输的具体作用,并且将促进对等离子体层顶波动的激发、增强与传播过程的进一步研究.

     

Pulse generation models for daily intermittent streamflows / Modèles de génération d’impulsions pour des débits journaliers intermittents

Abstract

Abstract Generating pulses and then converting them into flow are two main steps of daily streamflow generation. Three pulse generation models have been proposed on the basis of Markov chains for the purpose of generating daily intermittent streamflow time series in this study. The first one is based on two two-state Markov chains, whereas the second uses a three-state Markov chain. The third model uses harmonic analysis and fits Fourier series to the three-state Markov chain. Results for a daily intermittent streamflow data series show a good performance of the proposed models.     

Application of Fourier series in managing the seasonality of convective and monsoon rainfall

ABSTRACT

This study assesses the performance of Fourier series in representing seasonal variations of the tropical rainfall process in Malaysia. Fourier series are incorporated into a spatial-temporal stochastic model in an attempt to make the model parsimonious and, at the same time, capture the annual variation of rainfall distribution. In view of Malaysia’s main rainfall regime, the model is individually fitted for two regions with distinctive rainfall profiles: one being an urban area receiving rainfall from convective activities whilst the other receives rainfall from monsoonal activities. Since both regions are susceptible to floods, the study focuses on the rainfall process at fine resolution. Fourier series equations are developed to represent the model’s parameters to describe their annual periodicity. The number of significant harmonics for each parameter is determined by inspecting the cumulative fraction of total variance explained by the significant harmonics. Results reveal that the number of significant harmonics assigned for the parameters is slightly higher in the region with monsoonal rains. The overall simulation results show that the proposed model is capable of generating tropical rainfall series from convective and monsoonal activities.

Editor D. Koutsoyiannis Associate editor K. Hamed