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1.
矿物微观结构的多重分形 总被引：4，自引：1，他引：3
分形与多重分形已广泛地应用于不同领域, 不同尺度下的各种分布特征研究更是受到广泛关注.以云南个旧松树脚矿田中2件含矿矽卡岩样品中黄铁矿颗粒为研究对象, 通过分形与多重分形方法研究了黄铁矿颗粒在二维空间上的分布特征.结果显示, 黄铁矿在微观尺度空间上的分布不均一, 具有明显的分形与多重分形分布特征.所选研究区外接触带黑绿色含硫化物矿石矽卡岩和接触带矽卡岩型块状硫化物矿石显微照片分析结果显示, 前者黄铁矿颗粒分布的盒子维数D0、信息维数D1、关联维数D2及广义多重分形维数Dq的变化范围均较小, 而后者较大; 前者外接触带黑绿色含硫化物矿石矽卡岩含矿性相对较弱, 而后者矿石矿物相对富集.从这个意义上说, 分形与多重分形维数与样品含矿性有一定的对应关系, 因此, 分形与多重分形分析有望进一步为岩石含矿性的定量化评价提供微观尺度上的证据. 相似文献
2.
以铜陵矿集区Cu元素为例,开展基于深层土壤数据的多维分形成矿异常识别研究。结果表明,在土壤采样密度相对较低、元素含量空间分布差异不大的情况下,多维分形克里格插值法较普通克里格插值法对于成矿异常的识别具有极大的优势。对于铜陵矿集区这类矿床开采、开发程度已较高,表层土壤元素分布主要受控于外源污染的老矿集区,基于深层土壤样品数据的多维分形克里格方法可以有效地进行成矿异常识别,服务于老矿集区的深部、外围隐伏矿床找矿。而对于空白研究区,无论是基于深层土壤数据还是表层土壤数据,多维分形克里格方法应同样有效。多维分形方法下土壤元素成矿预测的异常下限值确定尚无标准,文中采用元素含量 矿床数目累积频率的计算方法,基于该方法提取的成矿异常区域较好地识别出了绝大多数已知矿床,同时识别出了值得作进一步异常查证的空白异常区域。 相似文献
3.
湖南省金银矿床分布的多重分形分析 总被引：1，自引：0，他引：1
矿床的空间分布具有很强的复杂性和自相似性,分形理论则是人类对具有相似性的复杂现象进行定量描述的一种新方法.目前人们主要采用单一分维模型在不同的尺度范围内求取矿床分布的容量维,本文采用多重分维模型,根据1:200万的湖南省金银矿床分布图分别对29个大中型矿床和全部75个矿床做了多重分形分析,分别获得了其多重分维谱,并对该多重维谱与理论上的多重分维谱进行了比较,分析了其差异形成的原因.研究显示湖南省仍有较好的金银找矿前景. 相似文献
4.
选用标准化降水指数作为气象干旱指标,通过引入多标度分形理论,运用乘法级联模型,以吉林西部6个气象站点1957年1月-2010年10月的月降水量数据为基础,对吉林西部气象干旱的多标度性质进行分析。研究结果表明,吉林西部气象干旱的发生在时间尺度上均具有多标度分形特征,但在不同站点多标度分形的强度不同,表现出一定的空间差异性。其强弱次序为：长岭<通榆<白城<前郭<扶余<乾安。 相似文献
5.
选取长春市作为研究区,截取1995年和2005年作为城市发展过程的历史断面,通过运用遥感方法,结合空间分析技术和分形技术等定量分析方法,对比分析了长春城市发展对于城市市区和城区水体结构、形态和空间分布等多种特征的影响。研究表明,长春市区水体密度有所增加,水体重心向西北方向移动,而城区内水体密度有所减小。分形指数分析显示,城市建设发展使城市地表水体分布与形状更趋复杂化。尽管市区各类地表水体面积总体上呈增加趋势,但所表现的趋势特征并不一致。受城市建设与发展的影响,靠天然降水补给为主的湖泊、沼泽地水域面积减少,而城市发展以及防洪工程、引水调水工程建设直接导致水工建筑、水库等水域面积增大,受其影响水库边缘河流和滩涂面积增加。长春市水体空间格局分布很不平衡,这种水体分布空间不平衡将对未来城市发展的空间布局产生重要影响。 相似文献
6.
《Russian Geology and Geophysics》2014,55(5-6):629-648
Stable carbon isotope variations in primarily offshore Proterozoic carbonates of the Eselekh, Neleger, and Sietachan Formations in the Kharaulakh Range of northern East Siberia provide important information on the depositional history of the Riphean complexes and allow an age estimate to be made for potentially petroliferous Precambrian strata in the northeast of the Siberian Platform. The results of petrographic, geochemical, and isotopic studies of the measured samples demonstrate that the carbonates are recrystallized without substantial postdepositional alteration of the carbon isotope system and that the acquired 513C values are accurate and can be used for the purposes of chemostratigraphy. The Riphean strata of the Kharaulakh Range are characterized by mostly high (5.5-8.6%c) 513C values. Based on carbon isotope data, the studied section could not be correlated with Mesoproterozoic strata of the Anabar and Olenek Uplifts but occupies a rather higher stratigraphic position. It can be correlated with the Baikal Group of the West Pre-Baikal Area and the Dal’nyaya Taiga Group of the Patom Upland; specifically, the negative shift in the uppermost Sietachan Formation possibly corresponds to the Zhuya negative excursion. Comparison with the model curve of carbon isotope evolution in the Precambrian ocean suggests that the age of the studied section does not exceed 820 Ma. Most likely, the studied strata are younger than 635 Ma (i.e., postdate the Marino glaciation) but older than the Gaskiers glaciation (580 Ma). 相似文献
7.
Multifractal modeling and spatial statistics 总被引：9，自引：0，他引：9
In general, the multifractal model provides more information about measurements on spatial objects than a fractal model. It also results in mathematical equations for the covariance function and semivariogram in spatial statistics which are determined primarily by the second-order mass exponent. However, these equations can be approximated by power-law relations which are comparable directly to equations based on fractal modeling. The multifractal approach is used to describe the underlying spatial structure of De Wijs 's example of zinc values from a sphalerite-bearing quartz vein near Pulacayo, Bolivia. It is shown that these data are multifractal instead of fractal, and that the second-order mass exponent (=0.979±0.011 for the example) can be used in spatial statistical analysis. 相似文献
8.
V. V. Silberschmidt 《International Journal of Earth Sciences》1996,85(1):116-123
A model for an earthquake simulation is proposed with the use of a fractal approach. Multiple generation and coalescence of shear faults in stochastic brittle media (modelled as a 2d lattice) are considered to be a source of seismicity. Dynamics of local failure events are governed by accumulation of shear defects, described in terms of continuum damage mechanics. Fractal tree structure is used as an analogue for a stress redistribution process. Energy release, caused by the non-uniform failure, is studied for a non-conservative case. Effect of various types of rocks' properties stochasticity on energy release dynamics is analysed with a utilization of multifractal formalism. The latter is shown to be an additional method for seismicity characterization. 相似文献
9.
通过对甘肃省陇南文康地区的地质背景分析,采用区域1:5万水系沉积物测量的17种常量元素含量数据,分别运用传统统计学方法、S-A（能谱密度-累计面积）多重分形滤波法,确定成矿元素（以Au为例）异常下限值,圈定化探异常。结果表明,与传统方法相比,S-A多重分形法所圈定的异常面积小、数量多,传统统计法圈定的面积较大;两种方法圈定的异常展布方向基本一致,与研究区内已知的矿点吻合度高。本次研究认为S-A多重分形法所圈定的异常基本位于传统方法所圈定异常的内带之中,重点突出,与矿床空间位置对应关系较好,便于野外开展工作。同时在传统异常周边提取了部分低背景区的弱异常,这些弱异常可作为下一步找矿工作的新靶区。 相似文献
10.
新疆阿尔泰地区矿床分布的多重分形分析 总被引：5，自引：1，他引：4
对新疆阿尔泰地区 175个热液金、铜、铅、锌、稀有金属矿床的研究表明 ,该区矿床的空间分布为多重分形分布。在 q=- 2～ 14范围内 ,标度指数为 - 5.4 915～ 12 .80 71,奇异指数 a( q)随 q值变化较大 ,为 0 .92 4 8～ 2 .2 865,分维谱具单峰曲线特征。q=0时 ,在 1～ 150 km尺度范围内出现二个分形关系 ,在 1～ 16km尺度范围内 D0 值为 0 .2 3,在 16～ 150 km尺度范围内 D0 值为 1.51。导致该区矿床多重分形分布的主要原因是在不同尺度下矿床的形成控制机理的不同和矿床的勘探研究程度较低 ,该区还有较大的找矿前景。 相似文献
11.
Disturbances influence ecological communities over a wide range of scales. We investigated the effects of localized hypoxic
disturbances on an estuarine fish assemblage at several spatial (m2 and 10s km2) and temporal (days, seasons, years) scales in a multivariate framework (temperature, salinity, depth, dissolved oxygen).
We examined whether seasons, years) scales in a multivariate framework (temperature, salinity, depth, dissolved oxygen). We
examined whether there were consistent changes in fish and crustacean estuarine assemblage characteristics along environmental
gradients and whether these relationships were altered by hypoxic disturbances. We also investigated at what scale dissolved
oxygen concentration may be influencing the structure of motile estuarine assemblages and whether the size of the hypoxic
zone altered its effects on the estuarine assemblage. Hypoxic disturbances altered fish and crustacean assemblages along the
depth gradients that were present during well-oxygenated periods. Species diversity, richness, and catch rates were lower
in hypoxic patches than in oxygenated areas. Dissolved oxygen concentration remained an important explanatory variable for
patch-level assemblage dissimilarity, species richness, and diversity when data were aggregated across seasons. When we examined
the data at a larger scale, by aggregating information across the study area, we did not detect influences of hypoxia on assemblage
structure. Fish moved out of local hypoxic zones, but remained within the estuary even in years with extensive hypoxia. There
was no effect of size of the hypoxic distrubance on whether organisms responded to hypoxia or on diversity or richness of
the study site. These results suggest that these local disturbances play an important role in structuring motile species assemblages
at a patch-level within an estuary, but regional factors such as recruitment and migration are important in influencing species
assemblages for the entire estuary over months and years. 相似文献
12.
Two hundred and forty water samples (in four seasons) and seventeen sediment samples have been analyzed to monitor the natural and anthropogenic influences on the water and sediment chemistry of the Dal Lake, Kashmir Himalaya. The scatter diagrams [(Ca+Mg)/total cations (TZ+), (Ca+Mg)/HCO3, (Ca+Mg)/(HCO3+SO4), (Na+K)/TZ+; (Ca+Mg)/(Na+K)] and the geological map of the study area suggest predominance of carbonate and silicate weathering. Lower pH and high total dissolved solids, electrical conductivity and
values in the Gagribal basin and in some patches of other basins reflect anthropogenic inputs in the form of sewage from surrounding population, houseboats, hotels, etc. The Dal Lake is characterized by high chemical index of alteration (CIA: 87–95), reflecting extreme weathering of the catchment area. Relative to the average carbonates, the lakebed sediments are enriched in Al, Ti, Zn, Cu and Co and depleted in Ni and Mn. Compared to the post-Archean Shale the sediments have higher Al, Zn and Cu contents and lower Ni and Co. There are distinct positive anomalies of Al, Mn, Zn and Cu and negative anomalies of Ni and Pb with respect to the upper continental crust. Geoaccumulation index (I
geo) and the US Environmental Protection Agency sediment quality standards indicate that the Gagribal basin and some patches of the Nagin basin are polluted with respect to Zn, Cu and Pb. These data suggest that the Dal Lake is characterized by differential natural and anthropogenic influences. 相似文献
13.
多重分形与地质统计学方法在粤北刘家山地区矿化指示中的应用 总被引：1，自引：0，他引：1
为了解地球化学元素在岩石等介质中的局部富集和贫化规律,采用多重分形和地质统计学方法来分析其空间自相关性及奇异性,多重分形方法通过多重分形模型来刻画,地质统计学方法通过变异函数来实现。应用这两种方法处理粤北刘家山地区1∶5万水系沉积物地球化学各元素数据表明,地球化学数据的局部奇异性在该区可反映铅锌铜矿化蚀变带等局部成矿有利部位。为进一步研究异常与奇异性区的关系采用分形滤波技术(S-A法)对该区成矿主元素Pb、Zn进行分析,发现由S-A法分解得到的异常区与奇异性区一致,并且得出由S-A法分解的异常具有局部奇异性的结论。研究区内具有明显奇异性的地区也即元素富集区域是铅锌矿异常区域,它们与铅锌矿成矿作用和已知矿床的赋存密切相关, 这也为该地区元素的成矿潜力评价提供了重要的线索。 相似文献
14.
新疆东准噶尔地区断裂的多重分形研究 总被引：5，自引：1，他引：4
结合东准噶尔地区强应变构造带的空间展布情况和断裂的空间分布特征 ,用多重分形模型测算了各带的多重分维值。研究结果表明 :强应变构造带在不同尺度上具有自相似性 ;断裂的空间分布为多重分形结构 ,断裂的演化有从复杂几何结构的次级断裂组合向单一连续的大断裂过渡而分维值逐渐减小的趋势 ;不同的大地构造单元有不同的分维值 ,而且有靠近板块缝合带 (或海沟 )分维值减小、远离板块缝合带 (或海沟 )分维值增大的趋势 相似文献
15.
Multifractal modeling and spatial point processes 总被引：8，自引：0，他引：8
The multifractal model can be applied to spatial point processes. It provides new, approximately power-law type, expressions for their second-order intensity and K (r) functions. The box-counting and cluster dimensions are different but mutually interrelated according to multifractal theory. This approach is used to describe the underlying spatial structure of gold mineral occurrences in the Iskut River area, northwestern British Columbia. The box-counting and cluster dimensions for the example are estimated to be 1.335±0.077 and 1.219±0.037, respectively. The relatively strong clustering of the gold deposits is reflected by the fact that both values are considerably less than the corresponding Euclidean dimension (=2). 相似文献
16.
Fractal and Multifractal Properties of the Spatial Distribution of Natural Fractures--Analyses and Applications 总被引：3，自引：0，他引：3
The Cantor's dust theory is applied to investigate the scaling properites of the spatial distribution of natural fractures obtained from detailed scanline surveys of 27 field sites in the Appalachian Plateau of western New York, USA. The results obtained in this study indicate: 1) fracture spacing is characterized by fractal and multifractal properties. On small scales analyses yield an average fractal dimension of 0.15, which suggests a very high degree of clustering. In contrast, on large scales, fractures tend to be more regular and evenly distributed with an average fracture dimension of 0.52; 2) fractal dimension varies with different sets in different orientations, which can be attributed to interactions between pre-existing fractures and younger ones, as well as variations of the intensity of the stresses under which the fractures were formed; 3) a time sequence of fracture set formation can be proposed based on fractal and multifractal analyses, which consists of (from old to young): N-S, NW, ENE, and NE-striking sets. This time sequence is confirmed by the study of the abutting relationships of different fracture sets observed in the field. 相似文献
17.
在地表和埋藏条件下溶蚀作用形成的次生孔隙是碳酸盐岩油气储层重要的储集空间。为探究孔隙的溶蚀改造机理及其控制因素,通过柱塞样,开展了0.2%的乙酸环境中鲕粒白云岩的溶蚀实验,实验温度和压力范围分别为40~160 ℃和10~50 MPa。实验采取连续取样获得溶液中Ca2+与Mg2+离子含量,通过CT 成像技术获取溶蚀反应前后孔隙图像并运用分形与多重分形方法定量分析孔隙在二维和三维空间上的非均质性。研究表明,溶蚀过程中,鲕粒白云岩溶蚀液中[Ca2++Mg2+]浓度在实验开始时最低,之后稳步上升并在120 ℃、40 MPa时达到最大值,而后缓慢下降,溶蚀窗范围出现在70 ℃(20 MPa)~120 ℃(40 MPa)之间。二维和三维微观孔隙结构在空间上的分布具有显著的多重分形特征,溶蚀作用使得孔隙的不规则性减少、孔隙的奇异范围缩减。这些结果对于认识近地表和深埋藏条件下溶蚀作用对碳酸盐岩储层孔隙的改造强度及孔隙的动态演化规律具有重要的理论及实际意义。 相似文献
18.
R. K. Ray T. H. Syed Dipankar Saha B. C. Sarkar A. K. Patre 《Hydrogeology Journal》2017,25(8):2513-2525
Extracted groundwater, 90% of which is used for irrigated agriculture, is central to the socio-economic development of India. A lack of regulation or implementation of regulations, alongside unrecorded extraction, often leads to over exploitation of large-scale common-pool resources like groundwater. Inevitably, management of groundwater extraction (draft) for irrigation is critical for sustainability of aquifers and the society at large. However, existing assessments of groundwater draft, which are mostly available at large spatial scales, are inadequate for managing groundwater resources that are primarily exploited by stakeholders at much finer scales. This study presents an estimate, projection and analysis of fine-scale groundwater draft in the Seonath-Kharun interfluve of central India. Using field surveys of instantaneous discharge from irrigation wells and boreholes, annual groundwater draft for irrigation in this area is estimated to be 212 × 106 m3, most of which (89%) is withdrawn during non-monsoon season. However, the density of wells/boreholes, and consequent extraction of groundwater, is controlled by the existing hydrogeological conditions. Based on trends in the number of abstraction structures (1982–2011), groundwater draft for the year 2020 is projected to be approximately 307 × 106 m3; hence, groundwater draft for irrigation in the study area is predicted to increase by ～44% within a span of 8 years. Central to the work presented here is the approach for estimation and prediction of groundwater draft at finer scales, which can be extended to critical groundwater zones of the country. 相似文献
19.
Jean M. Morrison Martin B. Goldhaber Karl J. Ellefsen Christopher T. Mills 《Applied Geochemistry》2011
A regional-scale soil geochemical study was conducted within a 22,000 km2 area in northern California including the Sierra Nevada, Sacramento Valley, and northern Coast Range. Over 1300 soil samples were chemically analyzed for 42 elements. The distribution of distinct groups of elements demonstrates the interplay of geologic, hydrologic, geomorphologic and anthropogenic factors; however, it is difficult to fully appreciate the complexity of geochemical transport and weathering processes on a landscape-scale in an area of very complex geology with such a large dataset containing more than 40 variables. To examine the data from a perspective of multi-element groupings, cluster analyses were applied to the dataset. The analysis identified several groups of elements whose spatial patterns could be related to specific geologic sources. 相似文献
20.
Dissolved silica (DSi) is an important control on algae abundance and species composition both in freshwater and marine ecosystems. Although continental and global budgets for DSi exist, understanding of the spatial variability of DSi cycles needs to be improved on those scales. In this study, an empirical model of DSi mobilization into river systems is extrapolated on a 1.4 km2 grid to North America. To analyze changes in DSi mobilization patterns, DSi mobilization is estimated regionally for present day runoff and a runoff projection ensemble for the period 2081–2100. The model predicts present day annual DSi fluxes for the monitored area within 6% of the calculated fluxes. Possible biases by processes not directly represented by applied geodata are discussed (e.g. land use and ecosystem influences) and found to be only minor on the regional scale. Uncertainty of the results is discussed based on a literature review. The projected DSi-mobilization rates at high latitudes for the present day conditions may be overestimated. However, the projected change rate for the period 2081–2100 might even be underestimated, due to e.g. increased thawing in certain permafrost regions, which was not included in the model. 相似文献