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Kinematic Porosity and Heteroscedasticity in Hard Rock Terrains Extreme variability and its role in hydrogeology Land and Water Resources Engineering Robert.

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Presentation on theme: "Kinematic Porosity and Heteroscedasticity in Hard Rock Terrains Extreme variability and its role in hydrogeology Land and Water Resources Engineering Robert."— Presentation transcript:

1 Kinematic Porosity and Heteroscedasticity in Hard Rock Terrains Extreme variability and its role in hydrogeology Land and Water Resources Engineering Robert Earon

2 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. Glacial Till Hard Rock IntroductionPossibilitiesHeterogeneityAnistropyConcluding Remarks

3 Heterogeneity Range IntroductionPossibilitiesHeterogeneityAnistropyConcluding Remarks Nugget Sill

4 Spatial Anisotropy IntroductionPossibilitiesHeterogeneityAnistropyConcluding Remarks

5 Spatial Anisotropy IntroductionPossibilitiesHeterogeneityAnistropyConcluding Remarks

6 Spatial Anisotropy IntroductionPossibilitiesHeterogeneityAnistropyConcluding Remarks

7 Heterogeneity in spatial variance IntroductionPossibilitiesHeterogeneityAnistropyConcluding Remarks

8 Heterogeneity in spatial variance IntroductionPossibilitiesHeterogeneityAnistropyConcluding Remarks

9 Heterogeneity in spatial variance IntroductionPossibilitiesHeterogeneityAnistropyConcluding Remarks

10 ANOVA, t-test both indicate samples significantly (sig.<0.000) different IntroductionPossibilitiesHeterogeneityAnistropyConcluding Remarks

11 Multivariate Approach to Groundwater Resources IntroductionPossibilitiesHeterogeneityAnistropyConcluding Remarks

12 Multivariate Approach to Groundwater Resources GroupGRP RangeGroup Median 1-0.75>GRP3.96 l/hr, m 2 -0.75<GRP<-0.54.09 l/hr, m 30.5<GRP<06.08 l/hr, m 40<GRP6.36 l/hr, m 4 3 2 1 0 1234 GRP Group LN(SC) IntroductionPossibilitiesHeterogeneityAnistropyConcluding Remarks

13 Kinematic Porosity Based on simple fracture geometry (Carlsson and Olsson, 1993) Relationship between fracture spacing, relation to measurement face, average angle between fractures, average estimated hydraulic aperture Relatively simple to collect data Influenced by surficial physical factors (weathering) IntroductionPossibilitiesHeterogeneityAnistropyConcluding Remarks

14 Kinematic Porosity Area Rock type Fracture frequency N a (m -1 ) e g (m) λ Kinematic porosity n k Median capacity (lit/hr) Älgö Granite2.131.50.0010.250.08 %375 Älgö Gneiss-granite1.871.750.0010.20.065 %200 Älgö Sedimentary gneiss 1.571.50.0010.20.05 %100 IntroductionPossibilitiesHeterogeneityAnistropyConcluding Remarks

15 Kinematic porosity maps correlated to specific capacity maps (sig. = 0.003) but have a very low correlation coefficient (0.2) IntroductionPossibilitiesHeterogeneityAnistropyConcluding Remarks

16 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 IntroductionPossibilitiesHeterogeneityAnistropyConcluding Remarks

17 IntroductionPossibilitiesHeterogeneityAnistropyConcluding Remarks

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