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1.
时空多元协同克立格的理论研究   总被引:11,自引:0,他引:11  
本文结合地质统计学的最新成果,在空间协同区域化理论的基础上,对时空域中多元信息的协同克立格(STCOK)理论进行了较为详细的研究。主要研究内容有:(1)STCOK中的互变异函数与互协方差函数;(2)STCOK方程组及求解估值权因子的三种方法:①传统普通协同克立格法(STTOCOK),②标准普通协同克立格法(STSOCOK),③简单协同克立格法(STSCOK);(3)排列协同克立格(STCOLCOK);(4)指示协同克立格(STIKCOK)。  相似文献   

2.
纯时间域多元信息地质统计学   总被引:5,自引:0,他引:5  
随着人们动态地认识客观世界的要求日益增加,时空域中的多元信息地质统计学技术研究受到重视。本文在时间域内对几种纯时间域克立格技术进行了研究,重点对纯时间域中的普通克立格(TOK)、简单克立格(TSK)及泛克立格(TUK)进行了论述,也对纯时间域中的协同克立格(TCOK)和指示克立格(TIK)作了简要的概括。  相似文献   

3.
向晓丽  张玺 《矿物岩石》1999,19(3):65-68
指示克立格是一种非参数统计方法,它能在不舍弃特异值的条件下进行有效的空间估计,协同克立格以协同区域化变量的研究对象,充分考虑了变量空间相关性和变量间的统计相关性,有着单变量克立格法可可比拟的优点,因而,本文提出协同-指示克立格法这一方法,在指示克立格中考虑多变量的空间相关性和变量间的统计相关性,使指示克拉立格与协同克立格相互补充,模拟现实,提高预测精度,并以胜利油田罗家砂四上砾岩为例进行参数预测,  相似文献   

4.
农田土壤水分和盐分空间分布的指示克立格分析评价   总被引:20,自引:1,他引:20       下载免费PDF全文
运用非参数地质统计学的多元指示克立格法,结合单元指示克立格法,对黄河河套灌区55hm2的盐渍化土地上两个比较关键时期的土壤水分和盐分进行空间分布的分析,给出了同一时期土壤水盐和不同时期土壤盐分满足一定标准的综合概率图,并借助该案例详细介绍了多元指示克立格的原理、步骤及应用范围。指示克立格方法为不同尺度(从农田到区域)上水土资源质量的评价提供了新的方法,能为水土资源的现代决策管理提供指导。  相似文献   

5.
指示克立格法的理论及方法   总被引:5,自引:1,他引:5  
地质、物化探数据的分布常出现一个长尾巴,这种分布特征影响了矿产储量计算及数据处理的精度.引起这种非正态分布的因素有:数据中有特异值,它的出现表明矿床具有高品位的矿化作用,这对储量计算及数据处理是很重要的;数据由若干个总体组成,即所谓的混合总体.对这种数据,普通克立格法是不稳健的.为此,本文介绍一种新的地质统计学方法——指示克立格法(非参数方法).文中讨论了(1)指示函数及其二阶矩;(2)指示半变异函数;(3)指示克立格方程组;(4)待估块段品位的指示克立格估计.最后,还介绍1个应用实例,并给出了计算方法和步骤.  相似文献   

6.
克立格方法在区域化探数据处理中的应用   总被引:1,自引:0,他引:1  
针对克立格方法能表征变量空间结构特征 ,以团结沟金矿研究区的化探数据处理为例 ,讨论了一般多元统计方法、协同克立格方法和普通克立格方法在化探元素间的相关分析结果。协同克立格方法对原始数据进行估值得到的绝对误差的均值要比用其它方法得到的绝对误差的均值低 ,标准差也明显降低。相比之下 ,协同克立格方法在一定程度上较为优越 ,它提高了地质统计学的预测精度 ,缺点是计算工作量较大。  相似文献   

7.
余先川  王桂安  杨萌  刘敏 《矿床地质》2006,25(Z3):499-502
非线性空间信息统计学主要包括对数正态克立格、指示克立格、析取克立格、条件期望等理论方法。通过源代码和运行结果对各种克立格方法在数据特点、时间复杂度等方面进行了比较。DK估计较普通克立格更有效。首先,DK考虑到了Z(x)的二维概率分布,充分应用有效信息,克服了线性克立格的前提条件太少,导致数值离散性大时,估计不够准确的缺点;其次,DK利用区域化变量的非线性组合估计,所以可以方便地得到变量的任意函数的估计结果,在局部可回采储量等方面比线性方法更容易、结果更准确。  相似文献   

8.
克立格算法的若干思考   总被引:3,自引:1,他引:2  
克立格法是一种最优、线性(或非线性)、无偏内插估计量的方法.随着信息社会的发展,克立格法的应用范围越来越广.文中介绍了克立格法相关的计算方法,并基于Windows编写克立格算法流程图,提出改进克立格算法的若干方法,包括:①强化数据预处理;②将基本滞后距和实验变差函数计算结合起来一并运算;③防止数据溢出;④选择快速有效算法求解克立格方程组.  相似文献   

9.
含水层渗透性空间分布的指示克立格估值   总被引:3,自引:0,他引:3  
宋刚  万力  胡伏生  高茂生  张琦伟 《地学前缘》2005,12(Z1):146-151
详细介绍了指示克立格估值计算的理论和方法。以指示变异函数为基本工具分析了华北某地区第四系含水层渗透性空间分布的结构特征,结果表明该地区含水层渗透性存在明显的各向异性特征。水平方向上,X轴方向的相关性较Y轴方向的好,Z轴的相关性最差。用指示克立格法对未采样点处进行估值,估值结果显示含水层渗透性由山前向滨海逐渐变低,在垂直方向上,渗透性变化不明显,浅部比深部略好;同时给出了估计精度,并认为对估计精度不高的区域可通过增加适当的工程加以控制。最后用交叉验证法对估值结果进行了检验,证明建立的指示变异函数模型合理且估值效果较好。这一实际应用表明指示克立格法可以很好地描述第四系含水层渗透性的空间分布规律。  相似文献   

10.
   因子克立格分析是研究多元地质统计学的基拙,是由因子克立格法和协区域化分析两部分组成,方法上包括了区域化变量(集)的分解和分解后每一空间分童的估值;本文阐述了因子克立格分析从产生到应用的理论发展、研究成果及应用展望。  相似文献   

11.
Collapsing soils, which undergo a large decrease in bulk volume virtually instantaneously upon saturation and/or load application, are found in arid and semi-arid regions of the world. In the western and midwestern U.S., problems resulting from collapsing soils are being recognized due to rapid industrial and urban developments. A probabilistic analysis of the distribution of such soils would be a rational approach for quantifying risk involved for a project in an area where such soils are found. Indicator kriging was applied to seven sets of collapse and collapse-related soil parameters to obtain the probability that a certain parameter is more or less than a predefined critical value for low, medium, and high collapse susceptibility. Results are presented in the form of probability contour plots with known variance of estimation of the probability. The ability to predict the probability of occurrence of collapse and collapse-related soil parameters for different critical values with a known degree of certainty is invaluable to planners, developers, and geotechnical engineers.  相似文献   

12.
A common problem in geostatistics is to determine whether or not the value of a random field at an unsampled location exceeds a specified threshold using observed values of the random field at sampled locations. Under the indicator approach, the only information used to classify the unobserved value is whether or not the observed values exceed the threshold. This note shows that the loss of information from applying the indicator approach may be modest in the case where the underlying random field is Gaussian.  相似文献   

13.
Approximate local confidence intervals can be produced by nonlinear methods designed to estimate indicator variables. The most precise of these methods, the conditional expectation, can only be used in practice in the multi-Gaussian context. Theoretically, less efficient methods have to be used in more general cases. The methods considered here are indicator kriging, probability kriging (indicator-rank co-kriging), and disjunctive kriging (indicator co-kriging). The properties of these estimators are studied in this paper in the multi-Gaussian context, for this allows a more detailed study than under more general models. Conditional distribution approximation is first studied. Exact results are given for mean squared errors and conditional bias. Then conditional quantile estimators are compared empirically. Finally, confidence intervals are compared from the points of view of bias and precision.  相似文献   

14.
Estimating certain attributes within a geological body whose exact boundary is not known presents problems because of the lack of information. Estimation may result in values that are inadmissible from a geological point of view, especially with attributes which necessarily must be zero outside the boundary, such as the thickness of the oil column outside a reservoir. A simple but effective way to define the boundary is to use indicator kriging in two steps, the first for the purpose of extrapolating control points outside the body, the second to obtain a weighting function which expresses the uncertainty attached to estimations obtained in the boundary region.  相似文献   

15.
An indicator kriging model for investigation of seismic hazard   总被引:2,自引:0,他引:2  
Time domain probabilistic techniques most often are used for assessment of seismic hazard. Such techniques are based on the historic frequency of ground motion. Hazard is expressed as a probability of experiencing a particular level of seismic activity over a given length of time. One of these techniques utilizes frequency of extreme values for assessment of hazard. The major disadvantage of this technique, however, becomes evident when maximum seismic activity for two consecutive years occurs only a few weeks or months apart. In this case, the extreme value approach overestimates seismic hazard. A new approach for hazard assessment is founded on principles of indicator kriging. This technique evaluates seismic hazard as a simple frequency record, which is more realistic for regions of little to moderate seismicity.  相似文献   

16.
Indicator cokriging is an alternative to disjunctive kriging for estimation of spatial distributions. One way to determine which of these techniques is more accurate for estimation of spatial distributions is to apply each to a particular type of data. A procedure is developed for evaluation of disjunctive kriging and indicator cokriging for such an application. Application of this procedure to earthquake ground motion data found disjunctive kriging to be at least as accurate as indicator cokriging for estimation of spatial distributions of peak horizontal acceleration. Indicator cokriging was superior for all other types of earthquake ground motion data.  相似文献   

17.
辛存林 《地质与勘探》2014,50(2):382-390
以多重分形理论为基础,对中天山乌拉斯台地区铜多金属元素的岩屑测量数据,采用C-A法获得铜多金属的异常下限值,将其作为阈值进行指示克里格插值,绘制研究区的铜多金属地球化学异常图。研究显示,基于该方法获得的Cu矿化异常高值区主要集中在华力西早期第三侵入次的石英闪长岩和花岗闪长岩岩体中,受北西向和次级北东向断裂构造控制明显,该异常区可以作为寻找热液型铜多金属矿产的重要远景区。该方法对于地球化学数据空间变异性强烈的地区,较之普通克里格插值法具有更好的地球化学异常识别能力和高值信息重建能力,所得结果的最高累计频率值范围与已知矿化点的空间位置吻合度更高,在地球化学异常信息提取工作中具有推广意义。  相似文献   

18.
Indicator principal component kriging   总被引:1,自引:0,他引:1  
An alternative to multiple indicator kriging is proposed which approximates the full coindicator kriging system by kriging the principal components of the original indicator variables. This transformation is studied in detail for the biGaussian model. It is shown that the cross-correlations between principal components are either insignificant or exactly zero. This result allows derivation of the conditional cumulative density function (cdf) by kriging principal components and then applying a linear back transform. A performance comparison based on a real data set (Walker Lake) is presented which suggests that the proposed method achieves approximation of the conditional cdf equivalent to indicator cokriging but with substantially less variogram modeling effort and at smaller computational cost.  相似文献   

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