Heterogeneity and non-stationary variance in hard rock hydrogeology
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Transcript of Heterogeneity and non-stationary variance in hard rock hydrogeology
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Heterogeneity and non-stationary variance in hard rock hydrogeology
Extreme variability and its role in hydrogeology
Land and Water Resources EngineeringRobert Earon
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• Changing Climate• Limited Storage• Increasing residency near coast• Heteroscedasticity
There is no annual shortage of water in Sweden.Problems arise due to temporal distribution of meteoric water and water storage.
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Glacial Till
Hard Rock
Introduction PossibilitiesHeterogeneityAnistropy Concluding Remarks
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Heterogeneity
Range
Introduction PossibilitiesHeterogeneityAnistropy Concluding Remarks
Nugget
Sill
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Spatial AnisotropyIntroduction PossibilitiesHeterogeneityAnistropy Concluding Remarks
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Spatial AnisotropyIntroduction PossibilitiesHeterogeneityAnistropy Concluding Remarks
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Spatial AnisotropyIntroduction PossibilitiesHeterogeneityAnistropy Concluding Remarks
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Heterogeneity in spatial variance
Introduction PossibilitiesHeterogeneityAnistropy Concluding Remarks
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• ANOVA, t-test both indicate samples significantly (sig.<0.000) different
Introduction PossibilitiesHeterogeneityAnistropy Concluding Remarks
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Heterogeneity in spatial variance
AreaMedian
Distance (m) n Mean Median Variance Skewness KurtosisNorth 1802 10264 1.04 0.39 3.18 3.92 23.43South 1930 14169 1.45 0.53 5.46 3.33 15.32
Introduction PossibilitiesHeterogeneityAnistropy Concluding Remarks
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Multivariate Approach to Groundwater Resources
Introduction PossibilitiesHeterogeneityAnistropy Concluding Remarks
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Multivariate Approach to Groundwater Resources
Introduction PossibilitiesHeterogeneityAnistropy Concluding Remarks
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Review
• Heterogeneity places a high burden on point estimates for regional or even local characterization
• Heterogenic, anisotropic variability implies caution should be taken when applying statistical tools
• From the standpoint of limited-resource hydrogeological investigation, plausibility of applying and developing other tools
Introduction PossibilitiesHeterogeneityAnistropy Concluding Remarks
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Questions?
Introduction PossibilitiesHeterogeneityAnistropy Concluding Remarks