小波变换在少震、弱震区地下水位数据分析中的应用

利用小波变换和多尺度分析原理，对位于少震弱震区的湖南的具有不同变化形态的6口典型井4年的水位日均值序列进行了分析。结果显示，通过多尺度分析可以很方便地将水位日均值序列中的高频部分与低频部分分开，而且对不同井孔的含水层系统而言，分离出去的频率成分的主模是不同的，这反应出不同井孔的含水层系统对同一频率的响应存在差异，主模的频率反映了正常背景下井孔－含水层系统的优势频率。Morlet小波分析的结果对时间序列的突然变化和周期结构都有很好的反映。     

Chronology of landscape evolution and soil development in the upper Flinders River area,Queensland, based on isotopic dating of Cainozoic basalts

Victorian granites containing more than 750 ppm Ba are almost entirely confined to the region between a line from Geelong to Swan Hill and the Wonnangatta Fault Zone. Granite Ba contents normalised to 70% SiO₂ range from 620 to 733 ppm in western Victoria, 719 to 1560 ppm in central Victoria and 493 to 689 ppm in eastern Victoria. Melting of Ba-rich (meta)sedimentary rocks in the lower – middle crust is implicated in the petrogenesis of central Victorian S types, at least. Thus, granite geochemistry supports the concept of some sort of (largely concealed) Ba-rich Selwyn Block beneath central Victoria, although the boundaries that have been proposed for the block are modified here. There is a strong possibility that the Selwyn Block is an exotic terrane emplaced by northwest-directed strike-slip movement during the Bindian Orogeny. Such movement appears to have been controlled by the previously postulated Baragwanath Transform and another fundamental fault here called the Ulrich Transform. Asthenospheric upwelling related to movement on the Ulrich and Baragwanath Transforms may be the explanation for the twin belts of 400 Ma plutonism occurring to the west of the former and to the east of the latter. The southern extension of the Ulrich Transform may be the Tamar – Tiers structure in Tasmania. Plate-tectonic models suggesting Ordovician – Silurian subduction in Victoria need to be carefully revisited given the possibility of Siluro-Devonian exotic terrane emplacement.     

Frequency modified fourier transform and its application to asteroids

Recently a method has been suggested to analyze the chaotic behaviour of a conservative dynamical system by numerical analysis of the fundamental frequencies. Frequencies and amplitudes are determined step by step. As the frequencies are not generally orthogonal, a Gramm-Schmidt orthogonalization is made and for each new frequency the old amplitudes of previously determined frequencies are corrected. For a chaotic trajectory variations of the frequencies and amplitudes determined over different time periods are expected. The change of frequencies in such a calculation is a measure of the chaoticity of the trajectory. While amplitudes are corrected, the frequencies (once determined) are constant. We suggest here simple linear corrections of frequencies for the effect of other close frequencies. The improvement of frequency determination is demonstrated on a model case. This method is applied to the first fifty numbered asteroids.     

两次持续性暴雨天气的螺旋度对比分析

本文利用常规观测资料、逐小时区域自动站观测资料、NCEP1°× 1°逐6小时再分析资料等对安顺2019年6月5-11日和9月5-10日的持续性暴雨天气进行分析,结果表明：（1）6月5-11日天气过程主要是由于两高之间不断有短波槽东移造成的,9月5-10日天气过程主要是由于副高稳定少动,西南涡在副高外围稳定维持较造成的;（2）垂直螺旋度垂直积分越大越有利于产生强的短时强降雨,垂直螺旋度强中心发展高度越高越有利于短时强降雨持续不断的产生;（3）水汽垂直螺旋度在这2次持续性暴雨天气过程中对短时强降雨的发生和降雨强度有很好的指示,水汽垂直螺旋度在短时强降雨出现前6小时出现增大,且中心值越大短时强降雨强度越强,在短时强降雨发生期间迅速减小;（4）6月5-11日天气过程中,质量垂直螺旋度值增大-减小得越多,出现的短时强降雨强度越强。     

华北时变重力场离散小波多尺度分解

利用华北地区地震重力监测网的绝对重力与相对重力多期重复观测资料,处理获取不同时空尺度的华北区域重力场动态变化图像.利用二维小波分解技术,将不同场源深度异常进行了分离,并对不同时空尺度的重力变化给出了解释,提高了对华北地区重力场变化趋势的认识水平.在此基础上,通过对小波细节的功率谱分析,可以获得各阶小波变换逼近及小波细节分析图所对应的场源深度.研究结果表明,不同时空尺度的重力场变化对于深入认识华北地区潜在地震危险性具有一定的科学意义.     

Linking the northern hemisphere sea-ice reduction trend and the quasi-decadal arctic sea-ice oscillation

The nature of the reduction trend and quasi-decadal oscillation in Northern Hemisphere sea-ice extent is investigated. The trend and oscillation that seem to be two separate phenomena have been found in data. This study examines a hypothesis that the Arctic sea-ice reduction trend in the last three decades amplified the quasi-decadal Arctic sea-ice oscillation (ASIO) due to a positive ice/ocean-albedo feedback, based on data analysis and a conceptual model proposed by Ikeda et al. The theoretical, conceptual model predicts that the quasi-decadal oscillation is amplified by the thinning sea-ice, leading to the ASIO, which is driven by the strong positive feedback between the atmosphere and ice-ocean systems. Such oscillation is predicted to be out-of-phase between the Arctic Basin and the Nordic Seas with a phase difference of 3/4, with the Nordic Seas leading the Arctic. The wavelet analysis of the sea ice data reveals that the quasi-decadal ASIO occurred actively since the 1970s following the trend starting in the 1960s (i.e., as sea-ice became thinner and thinner), as the atmosphere experienced quasi-decadal oscillations during the last century. The wavelet analysis also confirms the prediction of such out-of-phase feature between these two basins, which varied from 0.62 in 1960 to 0.25 in 1995. Furthermore, a coupled ice-ocean general circulation model (GCM) was used to simulate two scenarios, one without the greenhouse gas warming and the other having realistic atmospheric forcing along with the warming that leads to sea-ice reduction trend. The quasi-decadal ASIO is excited in the latter case compared to the no-warming case. The wavelet analyses of the simulated ice volume were also conducted to derive decadal ASIO and similar phase relationship between the Arctic Ocean and the Nordic Seas. An independent data source was used to confirm such decadal oscillation in the upper layer (or freshwater) thickness, which is consistent with the model simulation. A modified feedback loop for the sea-ice trend and ASIO was proposed based on the previous one by Mysak and Venegas and the ice/albedo and cloud/albedo feedabcks, which are responsible for the sea ice reduction trend.     

大坝变形监测数据的小波分析处理方法

引入小波分析方法对大坝变形监测数据的处理,实现了对离散型的变形数据的尺度分解,对变形趋势的分析。并且对变形数据在滤波、消噪等方面,对分解层次中的偶然误差特性分析,以及阀值的选取方法进行了比较,表明利用小波变换的方法对变形数据的分析处理是有效、可行的。     

基于目标灰度的土地利用变化信息边界提取

为了提高大区域土地利用变化信息提取效率,本文在变化信息自动发现的基础上,基于目标灰度信息,研究遥感影像中土地利用变化信息的边界提取方法.由于研究对象是大区域中的小目标,无法直接利用灰度直方图寻找分割目标的灰度分布范围.本文提出了一种典型区域法,方法是利用区域中分割目标密集的多个典型小区域的灰度直方图计算所有目标的分割阈值.由于影像中地物众多,为了减少噪声的影响,提高计算速度,先利用双阈值分割法对目标进行粗分割,再对其进行小波变换,利用其模值,以及结合目标灰度信息,可以将目标边界快速地提取出来.     

Wavelet filter analysis of atmospheric pressure effects in the long-period seismic mode band

The importance of the reduction of atmospheric pressure effects becomes very clear when investigating seismic normal-mode spectra below 1.5 mHz. The usual simple correction method consists in subtracting a term converted from local atmospheric pressure (pressure multiplied by a frequency-independent admittance) from the gravity record in time domain. Thus, estimating an efficient admittance is the key for an improved correction. Band-pass filters derived from dyadic orthogonal wavelet transform, having narrow pass-bands with good frequency response but without Gibbs phenomenon and causing no phase lag, are very helpful to estimate an efficient admittance, which is both time and frequency-dependent. Processing of high quality superconducting gravimeter (SG) records for the great Sumatra earthquake (Mw = 9.3, Dec 26, 2004) with wavelet filters reveal the three very well resolved splitting singlets of overtone ₂S₁ with a single gravity record after correction with time-dependent and frequency-dependent admittances. We also observe all coupled toroidal modes below 1.5 mHz, except ₀T₅, ₀T₇ and ₁T₁, with good signal-to-noise ratio (SNR); moreover, toroidal modes ₁T₂ and ₁T₃ are for the first time unambiguously revealed in vertical components.