Temporal and spatial rainfall analysis across a humid tropical catchment     

P. Campling  A. Gobin  J. Feyen 《水文研究》2001,15(3):359-375

Temporal and spatial rainfall patterns were analysed to describe the distribution of daily rainfall across a medium‐sized (379km²) tropical catchment. Investigations were carried out to assess whether a climatological variogram model was appropriate for mapping rainfall taking into consideration the changing rainfall characteristics through the wet season. Exploratory, frequency and moving average analyses of 30 years' daily precipitation data were used to describe the reliability and structure of the rainfall regime. Four phases in the wet season were distinguished, with the peak period (mid‐August to mid‐September) representing the wettest period. A low‐cost rain gauge network of 36 plastic gauges with overflow reservoirs was installed and monitored to obtain spatially distributed rainfall data. Geostatistical techniques were used to develop global and wet season phase climatological variograms. The unscaled climatological variograms were cross‐validated and compared using a range of rainfall events. Ordinary Kriging was used as the interpolation method. The global climatological variogram performed better, and was used to optimize the number and location of rain gauges in the network. The research showed that although distinct wet season phases could be established based on the temporal analysis of daily rainfall characteristics, the interpolation of daily rainfall across a medium‐sized catchment based on spatial analysis was better served by using the global rather than the wet season phase climatological variogram model. Copyright © 2001 John Wiley & Sons, Ltd.  相似文献   

Fuzzy Modeling for Reserve Estimation Based on Spatial Variability   总被引：1，自引：0，他引：1  

Bulent Tutmez  A. Erhan Tercan  Uzay Kaymak 《Mathematical Geology》2007,39(1):87-111

This article addresses a new reserve estimation method which uses fuzzy modeling algorithms and estimates the reserve parameters based on spatial variability. The proposed fuzzy modeling approach has three stages: (1) Structure identification and preliminary clustering, (2) Variogram analysis, and (3) Clustering based rule system. A new clustering index approach and a new spatial measure function (point semimadogram) are proposed in the paper. The developed methodology uses spatial variability in each step and takes the fuzzy rules from input-output data. The model has been tested using both simulated and real data sets. The performance evaluation indicates that the new methodology can be applied in reserve estimation and similar modeling problems  相似文献   

Appreciation of Contributions by Georges Matheron and John Tukey to a Mineral-Resources Research Project     

Agterberg  Frederik P. 《Natural Resources Research》2001,10(4):287-295

Georges Matheron (1930–2000) and John Tukey (1915–2000) were among the most prominent mathematical statisticians of the 20th century. Both men produced numerous important new theoretical and practical results. This personal appreciation of their work concentrates on contributions to mineral-resources research and describes their influence on my work in mineral-resource evaluation studies at the Geological Survey of Canada (1966–1983).  相似文献   

Teacher''s Aide: Modeling Hole-Effect Variograms of Lithology-Indicator Variables   总被引：1，自引：0，他引：1  

Yuan Z. Ma  Thomas A. Jones 《Mathematical Geology》2001,33(5):631-648

Common variogram models, such as spherical or exponential functions, increase monotonically with increasing lag distance. On the other hand, a hole-effect variogram typically exhibits sinusoidal waves that form peaks and troughs, thereby conveying the cyclicity of the underlying phenomenon. In order to incorporate this cyclicity into a stochastic simulation, hole effects in the experimental variogram must be fitted appropriately. In this paper, we recommend use of several multiplicative-composite variogram models to fit hole-effect experimental variograms. These consist of a cosine function to provide wavelength and phase of cyclicity, multiplied by a monotonic model (e.g., spherical) to attenuate amplitudes of the cyclical peaks and troughs. These composite models can successfully fit experimental lithology-indicator variograms that contain a range of cyclicities, although experimental variograms with poor cyclicity require special considerations.  相似文献   

二级套合结构实验变差函数的几何拟合     

孟宪伟  杜德文 《吉林大学学报(地球科学版)》1999,29(2):135-137

叠加地球化学场表现为各地球化学元素的变差函数具有双重套合结构。拟合实验交差函数是分解叠加地球化学场的关键。本文依据地球化学场自相关与自相似的内在联系,提出用多标度分形谐方法拟合具有二级套合结构的实验交差函数。  相似文献   

When are relative variograms useful in geostatistics?     

Noel Cressie 《Mathematical Geology》1985,17(7):693-702

The relative variogram has been employed as a tool for correcting a simple kind of nonstationarity, namely that in which local variance is proportional to local mean squared. In the past, this has been linked in a vague way to the lognormal distribution, although if {Z_t; t D}is strongly stationary and normal over a domain D,then clearly {exp (Z_t); t D}will stillbe stationary, but lognormal. The appropriate link is made in this article through a universal transformation principle. More general situations are considered, leading to the use of a scaled variogram.  相似文献   

变异函数在异常空间插值中的应用   总被引：2，自引：0，他引：2  

程勖  杨毅恒  丁建华  李楠 《世界地质》2007,26(3):298-303

针对数据空间架构中异常点对地质数据解译过程的干扰，以协方差数学理论为基础，提出界定空间数据分布方法-变异函数。着重阐述变异函数的求取过程，对新疆贝克滩水系沉积物化探数据处理，预测误差均值为0．1032、平均预测标准差为21．12、标准均方根预测误差为0．9841。预测值与样品实测值误差较小，界定的空间数据分布与实际矿床（点）分布吻合较好。  相似文献   

Deriving Constraints on Small-Scale Variograms due to Variograms of Large-Scale Data     

Hans Kupfersberger  Clayton V. Deutsch  André G. Journel 《Mathematical Geology》1998,30(7):837-852

The application of kriging-based geostatistical algorithms to integrate large-scale seismic data calls for direct and cross variograms of the seismic variable and primary variable (e.g., porosity) at the modeling scale, which is typically much smaller than the seismic data resolution. In order to ensure positive definiteness of the cokriging matrix, a licit small-scale coregionalization model has to be built. Since there are no small-scale secondary data, an analytical method is presented to infer small-scale seismic variograms. The method is applied to estimate the 3-D porosity distribution of a West Texas oil field given seismic data and porosity data at 62 wells.  相似文献   

Streamflow estimation using optimal regional dependency function     

Abdüsselam Altunkaynak 《水文研究》2009,23(25):3525-3533

The determination of spatial dependency of regionalized variable (ReV) is important in engineering studies. Regional dependency function that leads to calculation of weighting coefficients is required in order to make regional or point‐wise estimations. After obtaining this dependency function, it is possible to complete missing records in the time series and locate new measurement station. Also determination of regional dependency function is also useful to understand the regional variation of ReV. Point Cumulative Semi‐Variogram (PCSV) is another methodology to understand the regional dependency of ReV related to the magnitude and the location. However, this methodology is not useful to determine the weighting coefficient, which is required to make regional and point‐wise estimations. However, in Point Semi‐Variogram (PSV) proposed here, weighting coefficient depends on both magnitude and location. Although the regional dependency function has a fluctuating structure in PSV approach, this function gradually increases with distance in PCSV. The study area is selected in Mississippi river basin with 38 streamflow stations used for PCSV application before. It is aimed to compare two different geostatistical models for the same data set. PSV method has an ability to determine the value of variable along with optimum number of neighbour stations and influence radius. PSV and slope PSV approaches are compared with the PCSV. It was shown that slope slope point semi‐variogram (SPSV) approaches had relative error below 5%, and PSV and PCSV methods revealed relative errors below 10%. Copyright © 2009 John Wiley & Sons, Ltd.  相似文献   

变差函数在赣杭构造带火山岩型铀矿田(床)评价中的应用     

李瀚波  潘蔚  毛玉仙 《铀矿地质》2010,26(5):301-305

在简要介绍变差函数的原理、算法和研究区地质情况的基础上,将变差函数引入火山岩型铀成矿作用与地形相关性研究中。详细描述了赣杭构造带中不同成矿规模矿田(床)区地形高程变差统计的过程,初步分析了变差统计结果的地质意义。研究结果表明,地形高程值变差函数的长轴方向可以反映研究区的主要构造方向,变差函数的长短轴半径与铀矿床的成矿规模在一定程度上具有对应关系。  相似文献