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Efficient variography with partition variograms
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DOI：10.1016/j.cageo.2019.06.013.png)
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摘要
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Directional variograms were introduced in geostatistics as a tool for revealing major directions of correlation in spatial data. However, their estimation presents some practical challenges, particularly in the case of large irregularly-sampled data sets where efficient spectral-based estimation methods are not applicable. In this work, we propose a generalization of directional variograms to general partitions of spatial data, and introduce a parallel estimation algorithm that can efficiently handle large data sets with more than 10(5) points. This partition variogram generalization is motivated by a five-spot point pattern in the petroleum industry, which we named more generally as the isolated-lines arrangement. In such an arrangement, traditional estimators of directional variograms such as r-tube estimators very often fail to incorporate measurements from adjacent lines (e.g. vertical wells) without also incorporating measurements from other planes (e.g. horizontal layers). We provide illustrations of this new concept, and assess the approximation error of the proposed estimators with bootstrap methods and synthetic Gaussian process data.
Keyword:
Variography
Geostatistics
Partition variogram
Parallel algorithm
Exploratory data analysis
Spatial correlation
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C
IF:
4.4
论文数:
5.0K
被引数:
1.5W
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引用论文
M. L. McKinney & K. J. McNamara 1991. Heterochrony. The Evolution of Ontogeny. xxi + 437 pp. New York, London: Plenum Press. Price US $49.50 (hard covers). ISBN 0 306 43638 8. - M. L. McKinney (ed.) 1988. Heterochrony in Evolution. A Multidisciplinary Approach. Topics in Geobiology Series Volume 7. xvii + 348 pp. New York, London: Plenum Press. Price US $79.50 (hard covers). ISBN 0 306 42947 0.M. L. McKinney & K. J. McNamara 1991. 异时发育。个体发育的进化。xxi + 437 页。纽约，伦敦：Plenum Press。价格 49.50 美元（精装）。ISBN 0 306 43638 8。— M. L. McKinney (ed.) 1988. 进化中的异时发育。一种多学科方法。地质生物学系列丛书第 7 卷。xvii + 348 页。纽约，伦敦：Plenum Press。价格 79.50 美元（精装）。ISBN 0 306 42947 0。
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