Multi-Scale Texture Modeling     

Ralf Hielscher  Helmut Schaeben 《Mathematical Geosciences》2008,40(1):63-82

Patterns of crystallographic preferred orientation are referred to as texture. The specific subject of texture analysis is the experimental determination and interpretation of the statistical distribution of orientations of crystals within a specimen of polycrystalline material, which could be metals or rocks. The objective is to relate an observed pattern of preferred orientation to its generating processes and vice versa. In geosciences, texture of minerals in rocks is used to infer constraints on their tectono-metamorphic history. Since most physical properties of crystals, such as elastic moduli, the coefficients of thermal expansion, or chemical resistance to etching depends on crystal symmetry and orientation, the presence of texture imparts directional properties to the polycrystalline material. A major issue of mathematical texture analysis is the resolution of the inverse problem to determine a reasonable orientation density function on SO(3) from measured pole intensities on , which relates to the inverse of the totally geodesic Radon transform. This communication introduces a wavelet approach into mathematical texture analysis. Wavelets on the two-dimensional sphere and on the rotational group SO(3) are discussed, and an algorithms for a wavelet decomposition on both domains following the ideas of Ta-Hsin Li is given. The relationship of these wavelets on both domains with respect to the totally geodesic Radon transform is investigated. In particular, it is shown that the Radon transform of these wavelets on SO(3) are again wavelets on . A novel algorithm for the inversion of experimental pole intensities to an orientation density function based on this relationship is developed.  相似文献   

中强地震前后能量分布的自仿射特性     

蒋海昆  王忠民 《地震》1996,16(2):135-143

根据简化的地震波传播理论,“漫化”地震能量在空间的分配,减弱能量空间分布概率的极端情形及消除统计域为“空”的情形,由此构造类似于二维ｆＢｍ的地震能量空间分布概率曲面。与起伏不平的地形相似,由于基在水平方向及垂直方向的变化不是等比例的,因而这一分形曲面可能是统计自仿射的。  相似文献   

The seismic hazard assessment of the Dead Sea rift, Jordan   总被引：1，自引：0，他引：1  

Abdallah S. Al-Zoubi  Z.S.H. Abu-Hamatteh  Amrat Abdealkaderer 《Journal of African Earth Sciences》2006,45(4-5):489-501

The Dead Sea fault system and its branching faults represent one of the most tectonically active regions in the Middle East. The aim of this study is to highlight the degree of hazards related to the earthquake activities associated with the Dead Sea rift, in terms of speculating the possible future earthquakes. The present investigation mainly is based on available data and vertical crustal modeling of Jordan and the Dead Sea model for the Dead Sea basin with particular emphasis of the recent earthquake activities, which occurred on December 31st, 2003 (Mc = 3.7), February 11th, 2004 (strongest Mc = 4.9 R), and March 15th, 2004 (Mc = 4). The present research examines the location of the strong events and correlates them with the various tectonic elements in the area. The source mechanism of the main shock and the aftershock events is also examined. The analyses were based on the available short period seismogram data, which was recorded at the Natural Resources Authority of Jordan, Seismological Observatory. The seismic energy appears to have migrated from the south to the north during the period from December 31st up to March 12th, where the released seismic energy showed a migration character to the southern block of the eastern side of the Dead Sea, which led the seismic event to occur on March 15th.  相似文献   

Spectral Simulation and Conditioning to Local Continuity Trends in Geologic Modeling     

Tingting Yao  Craig Calvert  Tom Jones  Glen Bishop  Yuan Ma  Lincoln Foreman 《Mathematical Geology》2006,38(1):51-62

Spectral simulation has gained application in building geologic models due to the advantage of better honoring the spatial continuity of petrophysical properties, such as reservoir porosity and shale volume. Distinct from sequential simulation methods, spectral simulation is a global algorithm in the sense that a global density spectrum is calculated once and the inverse Fourier transform is performed on the Fourier coefficient also only once to generate a simulation realization. The generated realizations honor the spatial continuity structure globally over the whole field instead of only within a search neighborhood, as with sequential simulation algorithms. However, the disadvantage of global spectral simulation is that it traditionally cannot account for the local information such as the local continuity trends, which are often observed in reservoirs and hence are important to be accounted for in geologic models. This disadvantage has limited wider application of spectral simulation in building geologic models. In this paper, we present ways of conditioning geologic models to the relevant local information. To account for the local continuity trends, we first scale different frequency components of the original model with local-amplitude spectrum ratios that are specific to the local trend. The sum of these scaled frequency components renders a new model that displays the desired local continuity trend. The implementation details of this new method are discussed and examples are provided to illustrate the algorithm.  相似文献   

地震信号的相位恢复及误差分析     

WU Yuan-yuan LIU Cai WANG Dian WANG Shi-yu College of GeoExploration Science  Technology  Jilin University  Changchun  China 《吉林大学学报(地球科学版)》2006,(Z2)

常见的几种地震子波有:零相位子波、最小相位子波、最大相位子波和混合相位子波。以不同类型的信号为激发子波,对不同地层模型合成地震道。仅用原始合成地震道记录的振幅谱来恢复原始记录,讨论不同方法下,由于激发子波的不同,对比分析原始记录与恢复记录的差异,及其恢复效果。  相似文献   

基于广义Hough变换的不规则形状目标提取方法   总被引：1，自引：0，他引：1  

刘德刚余旭初  张鹏强 《测绘学院学报》2005,22(2):125-127

提出了一种基于广义Hough变换的不规则形状目标的提取方法。该方法主要包括目标参数描述和目标提取两部分。实验表明，该方法精度好、效率高。  相似文献   

基于复小波变换的SAR图像斑点滤波方法   总被引：1，自引：0，他引：1  

张春华许素芹  陶荣华陈标 《测绘学院学报》2005,22(4):269-271

斑点噪声的存在使得SAR图像的应用受到较大的限制.文中首先介绍了SAR图像斑点噪声模型以及几种常用的SAR斑点噪声抑制方法;然后对小波变换斑点噪声滤波方法进行分析,提出了基于二元树复小波变换的SAR图像滤波方法.实验比较表明,二元树复小波变换抑制SAR斑点噪声效果明显,较小波变换更具有优越性.  相似文献   

地震波混合阶褶积算法模拟   总被引：6，自引：0，他引：6  

戴志阳  孙建国  查显杰 《物探化探计算技术》2005,27(2):111-114

基于正反傅立叶变换,提出了地震波模拟的混合阶褶积算法。该方法原理简单、易于实现,结合了有限差分与伪谱法的优点,具有较高的精度和计算效率,适用于地震波场的正演计算,同时还给出了二维地震波场的理论计算实例。计算结果表明,此算法模拟结果正确、精度高、速度快、能适应较为复杂地质模型,并且易于推广到各向异性介质中去。  相似文献   

基于小波消噪和符号动力学的径流变化复杂性研究   总被引：4，自引：0，他引：4       下载免费PDF全文

王文圣  黄伟军  丁晶 《水科学进展》2005,16(3):380-383

提出了基于小波消噪的符号动力学途径研究径流变化的复杂度。对径流序列进行小波消噪,运用Lempel-Ziv算法计算其复杂度,以长江、黄河流域为例定量分析年径流复杂性。为研究水文系统的复杂性提供了工具。研究表明:①黄河流域径流变化比长江流域复杂;②黄河流域年径流的平均复杂度为8.3,从上游到下游的复杂性变化趋势不明显;③从时间纵向看,黄河年径流变化的复杂性并未发生显著的变化。  相似文献   

基于小波变换系数自适应阈值法在语音去噪中的应用   总被引：2，自引：0，他引：2  

孙炯宁  傅德胜  徐永华 《南京气象学院学报》2005,28(1):133-137

在软阈值去噪算法基础上，根据小波变换后信号与噪音具有的奇异性，提出无偏风险自适应阈值估计算法，并应用于语音信号的去噪处理，实验结果表明该算法的最小均方误差低于其他的去噪算法。  相似文献