基于Hurst指数的矿化强度识别－以山东大尹格庄金矿为例   总被引：1，自引：0，他引：1  

万丽  邓小成  王庆飞  刘欢 《吉林大学学报(地球科学版)》2013,43(1):87-92

探索成矿元素分布的分形特征是揭示矿化富集程度的重要途径之一。运用重标极差分析（R/S）方法,研究了山东大尹格庄金矿-210 m中段多勘探线Au品位序列随采样尺度变化的趋势,探讨元素序列的Hurst指数与矿化强度的关系。结果显示:具有不同矿化强度的勘探线Au的Hurst指数存在明显差异,且均大于0.5;矿化连续分布或间断出现的勘探线元素品位序列的Hurst指数大于0.65,表明元素序列具有标度不变性和长相关性,序列的持续强度与矿化程度基本一致,可为区域矿化强度定量识别提供一种新的有效方法。  相似文献   

Correlation analysis of large-scale structure using data from the SDSS DR5 LRG catalog     

N. L. Vasilyev 《Astrophysics》2008,51(3):320-335

Correlation properties of the large-scale structure of the distribution of luminous red galaxies are evaluated using data from Data Release 5 of the Sloan Digital Sky Survey. The correlations on small scales are characterized by the distribution of distances to the nearest neighboring galaxy ω(r). The conditional number density Γ(r) indicates a power law correlation with an exponent γ = 1.0±0.1 over scales of [1, 30] Mpc/h in redshift space. For larger scales of [30, 200] Mpc/h, a transition from a power law to a flat segment is observed. However, the presence of a flat segment in the estimated conditional density is only a necessary, but not sufficient, condition for homogeneity of a given sample. In particular, the flat segment may be caused by the presence of superlarge structures (such as have been discovered in the most recent ultra-deep COSMOS survey) which lead to a systematic shift in the estimated conditional number density. The behavior of the reduced two-point correlation function) ξ(r) is also discussed for scales of [1, 200] Mpc/h. Over small scales, where ξ(r) >> 1, the slopes of the reduced correlation function and the conditional number density are the same. __________ Translated from Astrofizika, Vol. 51, No. 3, pp. 393–408 (August 2008).  相似文献   

On a geometric method for determining the masses of the Galilean satellites of Jupiter     

G. S. Kurbasova 《Bulletin of the Crimean Astrophysical Observatory》2009,105(1):147-149

A geometric method for calculating the relative masses of the Galilean satellites of Jupiter is proposed. Local characteristics coincident with the Hausdorff—Bezikovich dimension have been calculated for each planet—satellite pair. The relative masses calculated by the geometric method differ from those obtained by analyzing the motion of spacecraft by no more than 0.1%.  相似文献   

Multiscale sources of spatial variation in soil. III. Improved methods for fitting the nested model to one-dimensional semivariograms     

C. C. Taylor  P. A. Burrough 《Mathematical Geology》1986,18(8):811-821

The previous paper in this series presented a one-dimensional stochastic nested model to account for superimposed sources of soil variation at various scales. This paper shows how the nested model can be fitted to experimental data using weighted or generalized least-squares methods that account for correlations between consecutive terms that had previously been neglected. This paper also presents a method of estimating effective degrees of freedom for each sampling interval and thus for estimating 90% confidence limits for the semivariogram of the nested model.  相似文献   

Multifractal Simulation of GeochemicalMap Patterns   总被引：3，自引：0，他引：3  

Agterberg Frederik P Geological Survey of Canada  Booth Street  Ottawa  KA E  Canada 《中国地质大学学报(英文版)》2001,12(1)

INTRODUCTIONThe mathematical modeling of geochemical data continuesto present an important challenge to earth scientists. Basically,the available data are 2-dimensional realizations of 3dimensional patterns, which are the results of one or more genetic processes that usually are poorly understood. It may bedifficult to project from the observations into the rock mass. Inthis paper, multifractal modeling is advocated as a methodologyto characterize geochemical patterns. If a geochemical pa…  相似文献   

The fractal properties of geochemical landscapes as an indicator of weathering and transport processes within the Eastern Alps     

Gerd Rantitsch   《Journal of Geochemical Exploration》2001,73(1)

Variations in surface morphology and lithology provide an opportunity to study lithologic and morphologic influences on the spatial pattern of stream-sediment geochemistry within two contrasting environments of the Eastern Alps (Hohe Tauern Range and Gurktaler Alpen Range). The fractal dimension, a measure of surface roughness over a variety of scales, is used to model the dissipation of erosive products due to climatic controlled denudation and fluvial mass transport. Based on a spatial correlation analysis, specific elemental concentrations are used as indicators for a dominant lithotype. Fractal geometry of these elements has been estimated by sequential Gaussian simulation of the area/perimeter relationship (Dal) and by the estimation of multifractal spectra. It is shown that within a 510–780 km² survey area the spatial variations of Al, Ga, Ni and Ca can be approximated by single fractals but for those of Ag and Sn multifractal models must be used. Fractal properties derived from simulated surfaces are explainable by the process controlling the spatial structure of the data. Climatic and tectonic parameters apparently influences Dal at large scales. At smaller scales rock-type variation exert an additional influence on Dal.  相似文献   

The cyclic and fractal seismic series preceding an m_b 4.8 earthquake on 1980 February 14 near the Virgin Islands     

David J. Varnes  Charles G. Bufe 《Geophysical Journal International》1996,124(1):149-158

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Microstructural Development During Nucleation and Growth   总被引：1，自引：0，他引：1  

Michael R. Riedel  Shun-Ichiro Karato 《Geophysical Journal International》1996,125(2):397-414

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Self-Organized Criticality Applied to Natural Hazards     

Malamud  Bruce D.  Turcotte  Donald L. 《Natural Hazards》1999,20(2-3):93-116

The concept of self-organizedcriticality evolved from studies of three simplecellular-automata models: the sand-pile, slider-block,and forest-fire models. In each case, there is asteady input and the loss is associated with afractal (power-law) distribution of avalanches. Each of the three models can be associated with animportant natural hazard: the sand-pile model withlandslides, the slider-block model with earthquakes,and the forest-fire model with forest fires. We showthat each of the three natural hazards havefrequency-size statistics that are well approximatedby power-law distributions. The model behaviorsuggests that the recurrence interval for a severeevent can be estimated by extrapolating the observedfrequency-size distribution of small and mediumevents. For example, the recurrence interval for amagnitude seven earthquake can be obtained directlyfrom the observed frequency of occurrence of magnitudefour earthquakes. This concept leads to thedefinition of a seismic intensity factor. Both globaland regional maps of this seismic intensity factor aregiven. In addition, the behavior of the modelssuggests that the risk of occurrence of large eventscan be substantially reduced if small events areencouraged. For example, if small forest fires areallowed to burn, the risk of a large forest fire issubstantially reduced.  相似文献   

信阳地区城乡聚落体系的分形几何特征   总被引：10，自引：2，他引：10  

单纬东  陈彦光 《地域研究与开发》1998,17(3):48-51,64

以信阳地区为研究区，探讨其城乡聚落体系的空间分布规律，证明乡镇聚落体系与城市体系遵循相同的分形模式，并借助分维，分析了系统的结构问题，指出其未来优化的方向。  相似文献