强震前后广义地震应变释放过程的丛集特征

利用基于小波变换的多重分形奇异谱估计方法,研究了部分强震前后地震活动广义应变.释放过程的多重分形特征。结果表明,晨中区附近- -定范围内地展活动广义应变释放过程具有多重分形特征,但多重分形维数谱随7变化复杂,在强震发生前多重分形维数谱没有明显的变化。广义地震应变释放过程的多重分形奇异谱形态和Hausdorff奇异指数范围能提供更多关于地屣活动过程的信息,特别当η取较大值时Hausdorff奇异指数范围在强晨前明显变窄。研究还表明深源地展和浅源地晨发生前广义应变释放过程多重分形特征存在明显不同。     

辽宁地区地震活动空间分布的多重分形

通过辽宁地区地震活动资料，根据地震活动在空间中的分布演化特征，由多重分形理论及计算方法详细地研究了该地区地震活动的基本特点．结果显示，辽宁地区地震活动在空间上的增长演化及分布过程是多重分形结构，(q)-q曲线、f()谱及其它一些参量在几次中、强地震前后的明显变化，较好地描述了地震活动的分形增长过程的整体演化特征．      

基于小波与分形理论的地震异常检测

为了提高地震异常检测精度,探讨了小波与分形结合的地震异常检测方法.首先采取功率谱密度对地震波的分形性质进行分析,得出其具有且仅在几个高频段具有自仿射分形性质,这为分形的合理应用提供了依据并揭示了现有单一综合分形维方法的不足;继而提出了频率、时间有序的无次采样小波包变换(FOTO NWPT),该算法为地震波分形分析创造了优良平台.基于前两者,提出了小波与分形优势结合的地震异常检测方法：由FOTO NWPT将地震波分解在若干尺度上,依据尺度关联维分析构建地震剖面分形参数空间,参数奇异标志了地震异常.工程实验证明,该方法比现有方法的科学性和实用性更强,为实现度量参数化精细地震勘探提供了一条新的思路.     

强震前地震多重分形谱的异常及其物理解释：以乌什研究区为例

应用有关软件分析新疆乌针研究区地震活动时间分布的多重分形谱Ｄｑ－ｑ和ｆ（ａ）－ａ。发现两次６级强震发生前，多重分形谱发生显著变化。主要特征是对一定的ｑ区间奇异性强度因子ａ取值变宽，Ｄｑ－ｑ曲线变陡，ｆ（ａ）－ａ的左端点或右端点下降。     

小波多尺度分解的振幅谱分维算法油气预测

本文结合小波变换理论和分形分维理论,利用小波变换的多尺度分解对地震资料进行分解,选取不同尺度的信息,计算其振幅谱分维数;根据含油气井的振幅谱确定能够反映油气异常信息的标度不变区,在该标度不变区内求分形维数,分维数值越大,说明含油气的可能性越大,据此预测储层的含油气性.实践表明,多尺度分形分维技术能够较准确地反映由地震波...     

核磁共振T_2谱多重分形特征及其在孔隙结构评价中的应用（英文）

孔隙结构特征及类型划分对低渗透储层勘探开发至关重要,基于多重分形理论与核磁共振实验,对东营凹陷南坡沙河街组沙四段(ES4)复杂低渗透砂岩进行孔隙结构研究。首先,根据岩心物性、铸体薄片、压汞等资料所反映的孔隙结构参数差异,将研究区的岩石孔隙结构类型划分了3大类5小类;然后,针对不同类型岩石的核磁共振T_2谱进行插值并计算其对数坐标下的一维、三维分形维数以及多重分形谱,并提取多重分形参数奇异性强度α、分布稠密度f(a),结果显示孔隙结构类型不同,盒维数尤其是多重分形参数值差异明显,孔隙结构好,其a、f(a)偏向高值,以此划分孔隙结构类型与压汞、薄片分析结果基本一致;最后,将该方法应用到核磁共振测井剖面上,应用效果较好,表明多重分形是核磁共振T_2谱的一种属性,利用核磁测井T_2谱多重分形特征及参数能够连续较好地评价低渗透砂岩孔隙结构类型与预测有效储层。     

地震多重分形计算的最小生成树法

目前地震分形计算的方法很多,但各方法或多或少都存在一些问题．本文引入一种地震分形计算的新方法——最小生成树法（minimal spanning tree）,对其算法作了重要的修改,并通过对乌什、乌苏、唐山和海城4个区域震例的研究,得出大震前后地震时空分布多重分形谱由集中变疏张,反映了分形结构复杂性的增加、地震时空分布不均匀性的增加．由点集的数值模拟表明:强震前后多重分形谱变化的物理本质是地震分布由均一到不均一,由简单到复杂的变化过程．      

多重分形与地震

本文介绍了多重分形理论的主要内容、广义维数D_q和f(a)谱的测算方法,评述了国外对地震空间分布多重分形研究的最新进展,指出地震多重分形的相变是当前急待解决的重要问题。     

物理场多重分形谱理论模型的数值模拟研究

利用二维双标度三分非空集对物理场多重分形谱进行了理论模型的数值模拟研究。模拟结果表明：随着物理量空间分布不均匀性的增大，不同模型参数下的理论分形谱曲线变陡，Dq值域范围变宽。利用多重分形谱曲线的形态特征，可进一步了解是“稀疏区”还是“密集区”起主导作用，这对于从理论上把握物理和化学场分布特性具有重要意义。     

阔克沙勒—吉萨尔地震活动时间的多重分形研究

应用多重分形的标度指数谱f(α)～α方法分析阔克沙勒——吉萨尔地区地震活动时间序列,发现一定范围内地震多重分形f(α)～α在大震前有明显的异常显示。说明f(α)谱研究地震的多重分形,简单、有效、能全面地描述地震时间分布这类不均匀分形集。     

Wavelet analysis of lightning return stroke

In this investigation, time series consisting of electric field waveforms of 15 positive return strokes and 10 negative return strokes were analyzed. The data came from a summer thunderstorm in March in a range of about 200 km around São José dos Campos, São Paulo. The electric field recording system consisted of a flat plate antenna with a decay time constant of 260 μs and a sample rate of 800,000 samples per second. The bandwidth observed was up to 100 kHz and the recording system was synchronized with GPS time and located at São José dos Campos. Wavelet analysis of the electric field waveforms was done in order to investigate the behavior of the return stroke spectrum in time. The return stroke was suggested to be divided into two portions: initial stage and overshoot (for far return stroke) and initial stage and ramp (for close return stroke). The return stroke power spectrum was observed to be distributed in a frequency range with the peak value also distributed in a fraction of this range. Power peaks for ramps are stronger than power peaks for initial stage and overshoot. Finally, it was observed how powerful the wavelet is in the analysis of lightning.     

Spatiotemporal characteristics of positive cloud-to-ground lightning discharges and bidirectional leader of the lightning

The negative CG lightning discharges neutralizing negative charges in cloud usually dominate for most of thunderstorms. However, a lot of positive CG light-ning discharges often occur in the disappearing stage of thunderstorms, in the stratiform region of mesoscale convective systems and some supercells producing hail and tornado. Because the positive CG lightning discharges produce larger current of the return stroke and neutralize more charges due to the continuing currents with longer las…     

Development characteristics of cloud-to-ground lightning with multiple grounding points

Using the optical images of a cloud-to-ground lightning flash with multiple grounding points obtained by a highspeed video system in the Qinghai Province of China along with synchronous radiated electric field information, the propagation characteristic and the electric field change features of the leaders and the grounding behavior of discharge channels are analyzed.In addition, the two-dimensional velocity of the leader was estimated and its correlation with the time interval of the corresponding subsequent return stroke, and that with the peak current of return stroke are investigated. The results show that the average distance between the three obvious grounded points of the first return stroke channel is about 512.7 m, and the average time interval between the pulses of the corresponding electric field fast changes is 3.8 μs. Further, the average time interval between electric field pulses from the stepped leader is smaller than that of normal single grounding lightning. The observed lightning in our study has two main channels, namely the left and right channels. Based on our observations, it is clear that the dart leader comes close to the ground in case of the left channel after the first return stroke, but it fails to form a return stroke.However, the right channel exhibits a relatively rare phenomenon in that the subsequent return stroke R2 occurred about 2.1 ms after the dart leader arrived at the ground, which was unusually long; this phenomenon might be attributed to the strong discharge of the first return stroke and insufficient charge accumulation near the grounded point in a timely manner. The two-dimensional velocities for the stepped leader of the two main channels are about 1.23×105 and 1.16×105 m s-1, respectively. A sub-branch of stepped leader for the left channel fails to reach the ground and develops into an attempt leader eventually; this might be attributed to the fact that the main branch connects considerably many sub-branches, which leads to the instantaneous decline of the potential difference between the sub-branch and ground. Furthermore, it might also be because the propagation direction of this sub-branch is almost perpendicular to the atmospheric electric field direction, which is not conducive to charge transfer. The two-dimensional velocities for the dart leaders of five subsequent return strokes are all in the normal range, and they positively correlate with the peak current of the subsequent return stroke.     

Artificially triggered lightning and its characteristic discharge parameters in two severe thunderstorms

The lightning-induced-damages in the mid-latitude regions are usually caused during severe thunder-storms. But the discharge parameters of natural lightning are difficult to be measured. Five lightning flashes have been artificially triggered with the rocket-wire technique during the passage of two severe thunderstorms. The discharge current and close electric field of return stroke in artificially triggered lightning have been obtained in microsecond time resolution by using current measuring systems and electric field change sensors. The results show that the five triggered lightning flashes include 1 to 10 return strokes, and the average return stroke current is 11.9 kA with a maximum of 21.0 kA and a mini-mum of 6.6 kA, similar to the subsequent return strokes in natural lightning. The half peak width of the current waveform is 39 μs, which is much larger than the usual result. The peak current of stroke Ip (kA) and the neutralized charge Q(C) has a relationship of Ip = 18.5Q0.65. The radiation field of return stroke is 5.9 kV·m-1 and 0.39 kV·m-1 at 60 m and 550 m, respectively. The radiation field decreases as r -1.119 with increase of horizontal distance r from the discharge channel. Based on the well-accepted transmission line model, the speed of return stroke is estimated to be about 1.4×108 m·s-1, with a variation range of (1.1―1.6)×108 m·s-1. Because of the similarities of the triggered lightning and natural lightning, the results in this article can be used in the protection design of natural lightning.     

闪电放电过程的近红外光谱及温度沿放电通道的演化特征

利用无狭缝红外光谱仪, 获得山东地区闪电放电过程760~970 nm范围的近红外光谱.光谱特征分析得出: 近红外光谱主要是峰值电流之后、放电后期的辐射, 谱线主要是中性原子的贡献.首次讨论了放电后期的通道温度和光谱总强度沿放电通道的演化特征.结果表明, 通道温度较回击电流上升至峰值阶段降低, 约为16000 K; 不同闪电的光谱结构、通道温度差异不大, 反映了放电等离子体复合阶段的特性; 地闪通道的温度和光谱总强度沿放电通道略呈单调变化趋势, 接地点附近最大; 云闪通道的温度和光谱总强度沿放电通道非单调变化, 在通道的拐弯、分叉以及结点附近发生突变.     

HF radiation emitted by chaotic leader processes

This paper presents direct measurements of narrowband 10 MHz HF radiation from so-called “chaotic leaders” associated with subsequent return strokes. Although the term is controversial and poorly defined, we find that more than 30% of subsequent strokes in close lightning flashes contain electric field characteristics that are best described as “chaotic”. In earlier studies, return strokes have consistently been observed to be the strongest sources of HF radiation, but the results for leader processes are less consistent. We also observe return strokes to be the main HF emitter, and the leaders before the first return stroke in a flash sequence also emit HF though somewhat less intensely. The leaders preceding subsequent strokes typically emit little or no HF radiation, whether they are dart or dart-stepped leaders.However, it was observed that the presence of a chaotic component increases the leader HF intensity dramatically Defining the HF intensity unequivocally can be problematic for processes like chaotic leaders which have a combination of continuous and impulsive phenomena. Two time-domain methods were used to measure the HF intensity, the peak energy and the RMS energy. In the frequency domain these correspond to the energy spectral density (ESD) and power spectral density (PSD), respectively.It was found that the methods are not necessarily compatible. Thus, it is suggested that to clarify future work, leader processes should be characterized by the PSD rather than the ESD.     

Properties of preliminary breakdown processes in Scandinavian lightning

Lightning flashes are usually preceded by preliminary breakdown processes (PBPs) before a stepped leader is initiated. These breakdown processes are not well understood. An early model, the so-called BIL model, has been called into question in later studies. However, we have found that the BIL model is quite successful in describing initial processes at least in high-latitude Scandinavian lightning. We present results from one summer of measurements in Finland, during which the vertical electric field was measured with a standard broadband plate antenna system. Lightning flash locations were provided by a lightning detection network and magnetic fields were measured with an experimental narrowband detection system. The relationship between the preliminary breakdown and the first return stroke (RS) is studied for 193 flashes at distances of 5–70 km. We can identify a preliminary breakdown in at least 90% of the flashes. The peak electric field of the RS is on average four times as intensive as the highest peak of the PBP. However, in 25% of the cases the PBP peak is more intensive. On the other hand, we show that this method of comparing intensities is physically arbitrary, since the PBP is continuous and the RS is impulsive. The narrowband measurement allows a physically consistent definition for intensities as the root-mean-square (RMS) sum of the most intense parts of signals. The PBP and RS are shown to have almost equal intensities at small distances. At larger distances, the PBP weakens more rapidly. This is suggested to be due to different propagation regimes, with the PBP signal changing from space-wave to ground-wave propagation with increasing distance, while the RS is predominantly ground wave at all distances. The result may have practical applications in narrowband detection of lightning. The BIL model suggests a characteristic signal in the narrowband signal, which could be used to identify the start of a lightning flash. The change in the RS–PBP ratio as a function of distance is statistically significant, but is too weak to significantly improve ranging methods.     

Propagation effects on the electric field time derivatives generated by return strokes in lightning flashes

The effects of propagation over finitely conducting ground on the features of radiation component of the electric field time derivatives are investigated. The results show that the peak, the half-width and the risetime of the electric field time derivative change significantly in propagating over finitely conducting ground. Furthermore, any correlation that may exist between various parameters could also change significantly due to propagation effects. Consequently, in return stroke model validations using experimentally measured fields, remote sensing of return stroke current time derivatives using measured electric field time derivatives and in the calculation of induced voltages generated by lightning flashes in electrical installations the distortions caused by propagation effects on the electric field time derivatives cannot be neglected.     

Electromagnetic Methods of Lightning Detection

Both cloud-to-ground and cloud lightning discharges involve a number of processes that produce electromagnetic field signatures in different regions of the spectrum. Salient characteristics of measured wideband electric and magnetic fields generated by various lightning processes at distances ranging from tens to a few hundreds of kilometers (when at least the initial part of the signal is essentially radiation while being not influenced by ionospheric reflections) are reviewed. An overview of the various lightning locating techniques, including magnetic direction finding, time-of-arrival technique, and interferometry, is given. Lightning location on global scale, when radio-frequency electromagnetic signals are dominated by ionospheric reflections, is also considered. Lightning locating system performance characteristics, including flash and stroke detection efficiencies, percentage of misclassified events, location accuracy, and peak current estimation errors, are discussed. Both cloud and cloud-to-ground flashes are considered. Representative examples of modern lightning locating systems are reviewed. Besides general characterization of each system, the available information on its performance characteristics is given with emphasis on those based on formal ground-truth studies published in the peer-reviewed literature.     

Modeling of thundercloud VHF/UHF radiation on the lightning preliminary breakdown stage

It is well known that there are two basic parts of electromagnetic emissions from a thunderstorm cloud. The first one is due to a return stroke and the second is generated by microdischarges on the lightning preliminary stage and between successive return strokes. The purpose of this paper is to consider the second part of electromagnetic emissions from thunderstorm clouds in a frequency range from one to hundreds of MHz. A new approach is developed, which is based on a three-dimensional computer simulation of microdischarge activity in thunderstorm clouds. We suggest that microdischarges on the lightning preliminary stage are connected with the growth of internal electric cell structures in a thunderstorm cloud. The characteristic scale of cells ranges from ten to hundred meters. The source of these cells can be a beam-plasma-like instability in the thunderstorm cloud medium where microdischarges appear as a saturation mechanism for this instability. Interaction of neighboring cells leads to the formation of dynamic chains of microdischarges. Following step-by-step computer simulations, we calculate radio emissions from every microdischarge and sum up the wave amplitudes from all intracloud volume at the reception point. The standard model for a separate microdischarge current is adopted, and the electromagnetic radiation is estimated in the far zone. We obtain the waveforms of electromagnetic field, the temporal development of radiation and the number of electromagnetic pulses. We have found that signal statistics and calculated frequency spectra exhibit a universal power-law (fractal) behavior. The results of simulations are found to be in satisfactory agreement with the experimental data, because the model waveforms demonstrate a close similarity to the observed ones. Also the temporal development with the duration of pulse trains from ten to hundreds of microseconds and the microdischarge number rate up to hundreds of thousands per second are in agreement with the corresponding experimental data.