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
• 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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Grou
ndw
ater
Leve
l (m
und
er G
roun
d Su
rfac
e)
Glacial Till
Hard Rock
Introduction PossibilitiesHeterogeneityAnistropy Concluding Remarks
Heterogeneity
Range
Introduction PossibilitiesHeterogeneityAnistropy Concluding Remarks
Nugget
Sill
Spatial AnisotropyIntroduction PossibilitiesHeterogeneityAnistropy Concluding Remarks
Spatial AnisotropyIntroduction PossibilitiesHeterogeneityAnistropy Concluding Remarks
Spatial AnisotropyIntroduction PossibilitiesHeterogeneityAnistropy Concluding Remarks
Heterogeneity in spatial variance
Introduction PossibilitiesHeterogeneityAnistropy Concluding Remarks
• ANOVA, t-test both indicate samples significantly (sig.<0.000) different
Introduction PossibilitiesHeterogeneityAnistropy Concluding Remarks
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
Multivariate Approach to Groundwater Resources
Introduction PossibilitiesHeterogeneityAnistropy Concluding Remarks
Multivariate Approach to Groundwater Resources
Introduction PossibilitiesHeterogeneityAnistropy Concluding Remarks
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
Questions?
Introduction PossibilitiesHeterogeneityAnistropy Concluding Remarks
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