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41.
用土的分形结构确定土的水份特征曲线 总被引:4,自引:4,他引:4
运用筛析法和比重计法,分析了宁夏膨胀土的颗粒分布,发现粒径介于0.002~0.1mm的粒度分布是分形的,分维介于2.46~2.67;运用上孔隙分布的分维确定水份特征曲线,得到了很好的结果。此外,还探讨了粒度分形分布的机制。 相似文献
42.
分形几何用于岩石损伤扩展过程的研究 总被引:3,自引:2,他引:3
通过对岩石损伤扩展机理的研究,运用分形几何理论,建立了岩石损伤变量ω与分形维数之间关系。 相似文献
43.
地震丛集的分形新方法—物理分形 总被引:3,自引:0,他引:3
地震时间丛集的传统分形分析方法把地震事件看作是时间轴上无质量的数学点。这些方法得到的结果主要反映了大量小地震的活动特征。本文发展了一个新的物理分形分析的筛子方法,采用一系列震级筛子来研究不同震级地震的分布特征。对华北和南加洲的研究结果表明,同一地区地震目录中不同震级范围的子集合具有近似相等的分维数,华北D=0.3,南加洲D=0.4。 相似文献
44.
各种类型的金矿脉常呈不规则的几何形状产出,对它们用欧几里德方法进行描述和分析,不仅难以精确地说明其几何形态特征,有时甚至无法作出实际测量,因此也就很难掌握其产状变化的准确趋势,给金矿床的定量定位预测造成了困难.分形理论为获得有关隐伏矿床(脉)分布的更为准确的信息提供了有利工具.通过对招远灵山和河东两个典型金矿床矿脉分维数、几何丰度和有效紧密度等研究,讨论了分形理论在紧密结合地质特征条件下,客观准确揭示不规则矿脉变化规律及在找矿预测等方面的应用前景. 相似文献
45.
Similarities between strike-slip faults at different scales and a simple age determining method for active faults 总被引:1,自引:0,他引:1
Abstract Several differently scaled strike‐slip faults were examined. The faults shared many geometric features, such as secondary fractures and linkage structures (damage zones). Differences in fault style were not related to specific scale ranges. However, it was recognized that differences in style may occur in different tectonic settings (e.g. dilational/contractional relays or wall/linkage/tip zones), different locations along the master fault or different fault evolution stages. Fractal dimensions were compared for two faults (Gozo and San Andreas), which supports the idea of self‐similarity. Fractal dimensions for traces of faults and fractures of damage zones were higher (D ~1.35) than for the main fault traces (D ~1.005) because of increased complexity due to secondary faults and fractures. Based on the statistical analysis of another fault evolution study, single event movements in earthquake faults typically have a maximum earthquake slip : rupture length ratio of approximately 10?4, although this has only been established for large earthquake faults because of limited data. Most geological faults have a much higher maximum cumulative displacement : fault length ratio; that is, approximately 10?2 to 10?1 (e.g. Gozo, ~10?2; San Andreas, ~10?1). The final cumulative displacement on a fault is produced by accumulation of slip along ruptures. Hence, using the available information from earthquake faults, such as earthquake slip, recurrence interval, maximum cumulative displacement and fault length, the approximate age of active faults can be estimated. The lower limit of estimated active fault age is expressed with maximum cumulative displacement, earthquake slip and recurrence interval as T ? (dmax /u) · I(M). 相似文献
46.
47.
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
48.
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
49.
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
50.
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