Transformation of residuals to avoid artifacts in geostatistical modelling with a trend
Trend modelling is an important part of natural resource characterization. A common approach to account for a variable with a trend is to decompose it into a relatively smoothly varying trend and a more variable residual component. Then, the residuals are stochastically modelled independent of the t...
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| Veröffentlicht in: | Mathematical geology 2004-04, Vol.36 (3), p.287-305 |
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| creator | LEUANGTHONG, Oy DEUTSCH, Clayton V |
| description | Trend modelling is an important part of natural resource characterization. A common approach to account for a variable with a trend is to decompose it into a relatively smoothly varying trend and a more variable residual component. Then, the residuals are stochastically modelled independent of the trend. This decomposition can result in values outside the plausible range of variability, such as grades below zero or ratios that exceed 1.0. We transform the residuals conditional to the trend component to explicitly remove these complex features prior to geostatistical modelling. Back transformation of the modelled residual values allows the complex relations to be reproduced. A petroleum-related application shows the robustness of the proposed transformation. Furthermore, a mining application shows that when this conditional transformation is applied to the original variable, instead of the residual, simulated values are assured to be nonnegative.[PUBLICATION ABSTRACT] |
| doi_str_mv | 10.1023/B:MATG.0000028438.48852.b0 |
| format | Article |
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| source | SpringerNature Journals |
| subjects | Computer based modeling Earth sciences Earth, ocean, space Exact sciences and technology Geology Hydrocarbons Mathematical analysis Metal geology Metallic and non-metallic deposits Natural resources Sedimentary rocks Studies |
| title | Transformation of residuals to avoid artifacts in geostatistical modelling with a trend |
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