ON THE USE OF MULTIVARIATE LEVY-STABLE RANDOM FIELD MODELS FOR GEOLOGICAL HETEROGENEITY
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dc.contributor.author | Gunning Ja. | |
dc.date.accessioned | 2021-04-16T05:17:17Z | |
dc.date.available | 2021-04-16T05:17:17Z | |
dc.date.issued | 2002 | |
dc.identifier | https://www.elibrary.ru/item.asp?id=950026 | |
dc.identifier.citation | Mathematical Geology, 2002, 34, 1, 43-62 | |
dc.identifier.issn | 0882-8121 | |
dc.identifier.uri | https://repository.geologyscience.ru/handle/123456789/27891 | |
dc.description.abstract | Increasing attention has been paid to the use of non-Gaussian distributions as models of heterogeneity in sedimentary formations in recent years. In particular, the Levy-stable distribution has been shown to be a useful model of the distribution of the increments of data measured in well logs. Frequently, the width of this distribution follows a power-law type scaling with increment lag, thus suggesting a nonstationary, fractal, multivariate Levy distribution as a useful random field model. However, in this paper we show that it is very difficult to formulate a multivariate Levy distribution with any nontrivial spatial correlations that can be sampled from rigorously in large models. Conventional sequential simulation techniques require two properties to hold of a multivariate distribution in order to work: (1) the marginal distributions must be of relatively simple form, and (2) in the uncorrelated limit, the multivariate distribution must factor into a product of independent distributions. At least one of these properties will break down in a multivariate Levy distribution, depending on how it is formulated. This makes a rigorous derivation of a sequential simulation algorithm impossible. Nonetheless, many of the original observations that spurred the original interest in multivariate Levy distributions can be reproduced with a conventional normal scoring procedure. Secondly, an approximate formulation of a sequential simulation algorithm can adequately reproduce the Levy distributions of increments and fractal scaling frequently seen in real data. | |
dc.subject | HETEROGENEITY | |
dc.subject | MULTIVARIATE | |
dc.subject | LEVY | |
dc.subject | RANDOM FIELD | |
dc.subject | SEQUENTIAL SIMULATION | |
dc.subject | INCREMENTS | |
dc.title | ON THE USE OF MULTIVARIATE LEVY-STABLE RANDOM FIELD MODELS FOR GEOLOGICAL HETEROGENEITY | |
dc.type | Статья |
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