基于灰色算子的尾矿坝浸润线混沌研究   总被引：2，自引：0，他引：2  

蒋卫东  李夕兵  贺怀建  胡柳青 《岩土力学》2004,25(2):242-245

对于尾矿坝浸润线时间序列，通过建立一个灰色算子，来弱化坝体高度、库内水位等因素所带来的确定性影响，突出混沌特性，形成新的时间序列，对该序列进行相空间重构后，求取关联维。德兴铜矿2#尾矿坝浸润线观测数据的分析结果表明，灰色算子能较好地处理混沌问题，浸润线时间序列存在着非整数维，是一个混沌系统：对于尾矿坝安全不能进行长期预测，而需要长期监测。  相似文献   

多孔介质非饱和导水率预测的分形模型   总被引：6，自引：0，他引：6       下载免费PDF全文

刘建国  王洪涛  聂永丰 《水科学进展》2004,15(3):269-275

多孔介质非饱和导水率是地下水污染预测与评价的重要参数。根据分形几何的基本原理和方法,推导出了与Campbell经验公式在形式上完全一致的多孔介质非饱和导水率的预测公式。公式中的幂指数为介质孔隙分维和随机行走分维的函数,分别体现了多孔介质的静态性质与动态性质对其中水分运动的影响,但静态性质的影响是主要的,即导水率主要受多孔介质的结构控制。根据文献中报道的大量数据,利用笔者推导的预测公式计算得到的幂指数的统计值与试验测定的幂指数的统计值基本一致,说明推导的理论公式预测多孔介质非饱和导水率是较为可靠的。  相似文献   

A Corrected and Generalized Successive Random Additions Algorithm for Simulating Fractional Levy Motions     

Hui-Hai Liu  Gudmundur S. Bodvarsson  Silong Lu  Fred J. Molz 《Mathematical Geology》2004,36(3):361-378

Simulation of subsurface heterogeneity is important for modeling subsurface flow and transport processes. Previous studies have indicated that subsurface property variations can often be characterized by fractional Brownian motion (fBm) or (truncated) fractional Levy motion (fLm). Because Levy-stable distributions have many novel and often unfamiliar properties, studies on generating fLm distributions are rare in the literature. In this study, we generalize a relatively simple and computationally efficient successive random additions (SRA) algorithm, originally developed for generating Gaussian fractals, to simulate fLm distributions. We also propose an additional important step in response to continued observations that the traditional SRA algorithm often generates fractal distributions having poor scaling and correlation properties. Finally, the generalized and modified SRA algorithm is validated through numerical tests.  相似文献   

视频对象分割及跟踪方法研究     

沈未名  江柳  种衍文 《武汉大学学报(信息科学版)》2004,29(3):274-277

讨论和分析了视频对象全自动提取及后续帧中的跟踪过程及采用的方法 ,对其算法、分割性能和结果进行了比较和评述。并结合Hausdorff和Snake跟踪器 ,对初始对象轮廓进行跟踪。结果证明 ,这种跟踪方法能有效地解决对象被遮挡和形变以及背景移动的问题  相似文献   

Study on simulating strong ground motion by fractal stochastic method     

GUO Meng-qiu  WANG Bin  XU Zhao-yong 《地震学报(英文版)》2005,18(4):490-495

The time history of strong ground motion can be synthesized by empirical Green's function (EGF) method.Firstly a large seismic event is discretized into a series of subevents; secondly recordings of earthquakes with proper size and spatial distribution are chosen as time history (EGF) of those subevents; finally the EGFs are summated to get the time history of ground motion caused by the large event.  相似文献   

Correlation Fractal and Multifractal Characteristics of Seismic Activity in the Taiwan Area, China   总被引：2，自引：0，他引：2  

XU Jiandong  HUANG Jianf  WEI Fuquan  YAN Yunpeng  LI Yaping  LIN Chien-te Institute of Geology  China Earthquake Administration  Beijing  Chin  Earthquake Administration of Fujian Province  Fuzhou  Fujian  China China Aero Geophysical Survey  Remote Sensing for Land  Resources  Beijing  China Leader University  Tainan  Taiwan  China 《《地质学报》英文版》2005,79(2):225-232

Based on the analysis of newly collected data of plate tectonics, distribution of active faults and crustal deformation, the Taiwan area is divided into two seismic regions and six seismic belts. Then, correlation fractal dimensions of all the regions and belts are calculated, and the fractal characteristics of hypocenteral distribution can be quantitatively analyzed. Finally, multifractal dimensions Dq and f(α) are calculated by using the earthquake catalog of the past 11 years in the Taiwan area. This study indicates that (1) there exists a favorable corresponding relationship between spatial images of seismic activity described with correlation fractal dimension analysis and tectonic settings; (2) the temporal structure of earthquakes is not single but multifractal fractal, and the pattern of Dq variation with time is a good indicator for predicting strong earthquake events.  相似文献   

Fractally Invariant Distributions and an Application in Geochemical Exploration     

Wei Shen  D. R. Cohen 《Mathematical Geology》2005,37(8):895-913

Fractal modelling has been applied extensively as a means of characterizing the spatial distribution of geological phenomena that display self-similarity at differing scales of measurement. A fractal distribution exists where the number of objects exhibiting values larger than a specified magnitude displays a power-law dependence on that magnitude, and where this relationship is scale-invariant. This paper shows that a number of distributions, including power-function, Pareto, log-normal and Zipf, display fractal properties under certain conditions and that this may be used as the mathematical basis for developing fractal models for data exhibiting such distributions. Population limits, derived from fractal modelling using a summation method, are compared with those derived from more conventional probability plot modelling of stream sediment geochemical data from north-eastern New South Wales. Despite some degree of subjectivity in determining the number of populations to use in the models, both the fractal and probability plot modelling have assisted in isolating anomalous observations in the geochemical data related to the occurrence of mineralisation or lithological differences between sub-catchments. Thresholds for the main background populations determined by the fractal model are similar to those established using probability plot modelling, however the summation method displays less capacity to separate out anomalous populations, especially where such populations display extensive overlap. This suggests, in the geochemical data example provided, that subtle differences in the population parameters may not significantly alter the fractal dimension.  相似文献   

三峡库区巴东县城附近主要滑坡边界轨迹分形分维特征与滑坡稳定性关系   总被引：4，自引：1，他引：4       下载免费PDF全文

吴树仁  韩金良  石菊松  张永双  何锋  董诚 《地球学报》2005,26(5):455-460

为了探索复杂滑坡轨迹结构演化及其稳定性定量分析计算的新途径，本文利用分形分维理论，分析三峡库区巴东县城附近滑坡边界轨迹的几何分形结构，并采用盒维数法分别求得巴东县城附近11个滑坡边界轨迹的分维值，计算结果表明：每个滑坡的轨迹结构具有其特征性的分维值，轨迹结构越复杂，结构层次越清楚，分维值越高；其中，榨房坪滑坡和黄腊石滑坡的分维值最高，分别为1.50和1.483，西壤口和谭家湾滑坡的分维值最低，分别为0.925和0.732；而黄土坡和赵树岭滑坡的分维值介于二者之间，分别为1.111和1.091。结合典型滑坡边界轨迹结构演化与滑坡稳定性关系的定性分析及前期滑坡稳定性定量计算和模拟分析，初步揭示：滑坡边界轨迹结构与稳定性是密切相关的，滑坡边界轨迹宏观扩展增值越明显，轨迹结构越复杂，分维值越高，其稳定性条件也越差，因此，分数维可作为衡量滑坡轨迹结构复杂性和稳定性的重要标志；滑坡边界轨迹宏观扩展变形存在一个极限，超过这个极限滑坡的局部失稳就转化为整体滑动；而滑坡边界轨迹则记录了滑坡变形扩展现象和信息，因此，相对应地滑坡轨迹分形结构的分维值也应存在一个极值，在极值点滑坡体处于临滑状态；滑坡边界轨迹结构的极限分维值大致为1.4～1.5，此时滑坡接近于整体极限失稳状态，而分维值在1.1～1.3之间则表示滑坡处于整体稳定，局部存在潜在失稳状态，分维值小于1则表示滑坡处于相对稳定状态。  相似文献   

基于"3S"技术的于田绿洲湿地动态变化研究   总被引：7，自引：4，他引：7  

刘玉安  塔西甫拉提·特依拜  沈涛  张玉虎 《中国沙漠》2005,25(5):706-710

以极端干旱区典型绿洲———于田绿洲为研究区,采用遥感(RS)、地理信息系统(GIS)和全球定位系统(GPS)相结合的方法,进行了湿地资源调查,查明了于田绿洲湿地类型、区域分布及面积,应用模型和分形理论,探讨了于田绿洲湿地的动态变化特征,并分析了其发生动态变化的原因。研究结果对于干旱区绿洲湿地的合理开发和可持续发展有着重要现实意义。  相似文献   

漠阳江入海口海岸线分维及其机制分析     

李爽  詹文欢  姚衍桃 《海洋通报》2019,38(2):210-216

分维数是反映海岸线复杂程度的客观依据。结合国内外海岸线分形研究进展,本文以漠阳江入海口附近海域为研究区,基于Landsat 8 OLI遥感影像对研究区域提取瞬时水边线,并利用潮汐数据进行校正得到海岸线;利用Fractal Fox2.0计算获得该海岸线的分维数为1.071;通过对研究区的分形机制分析,认为漠阳江附近的断裂构造对海岸起宏观控制作用,从而对海岸线的分维值也起了决定作用。根据断裂体系模型计算得到西侧海岸线的理论分维值为1.089,而对数螺线模型计算得到东侧海岸线的分维值为1.171;实际分维值相对理论值偏小,说明海岸带的沉积与侵蚀影响了分维值。此外,根据本区海岸侵蚀原因的分析,对分维机制进行了探究,初步论证的分维值大小可为海岸的冲淤变化研究提供参考。  相似文献