Kinematic Porosity and Heteroscedasticity in Hard Rock Terrains

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

2. Introduction Anistropy Heterogeneity Possibilities ConcludingRemarks There is no annualshortageofwater in Sweden. Problems ariseduetotemporal distribution ofmeteoricwater and waterstorage. • ChangingClimate • LimitedStorage • Increasingresidencynearcoast • Heteroscedasticity Glacial Till Hard Rock

3. Introduction Anistropy Heterogeneity Possibilities ConcludingRemarks Heterogeneity Sill Nugget Range

4. Introduction Anistropy Heterogeneity Possibilities ConcludingRemarks Spatial Anisotropy

5. Introduction Anistropy Heterogeneity Possibilities ConcludingRemarks Spatial Anisotropy

6. Introduction Anistropy Heterogeneity Possibilities ConcludingRemarks Spatial Anisotropy

7. Introduction Anistropy Heterogeneity Possibilities ConcludingRemarks Heterogeneity in spatial variance

8. Introduction Anistropy Heterogeneity Possibilities ConcludingRemarks Heterogeneity in spatial variance

9. Introduction Anistropy Heterogeneity Possibilities ConcludingRemarks Heterogeneity in spatial variance

10. Introduction Anistropy Heterogeneity Possibilities ConcludingRemarks • ANOVA, t-test bothindicatesamplessignificantly (sig.<0.000) different

11. Introduction Anistropy Heterogeneity Possibilities ConcludingRemarks Multivariate Approach toGroundwater Resources

12. Introduction Anistropy Heterogeneity Possibilities ConcludingRemarks Multivariate Approach toGroundwater Resources 4 LN(SC) 3 2 1 0 1 2 3 4 GRP Group

13. Introduction Anistropy Heterogeneity Possibilities ConcludingRemarks KinematicPorosity • 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)

14. Introduction Anistropy Heterogeneity Possibilities ConcludingRemarks KinematicPorosity

15. Introduction Anistropy Heterogeneity Possibilities ConcludingRemarks • Kinematicporositymapscorrelatedtospecificcapacitymaps (sig. = 0.003) buthave a verylowcorrelationcoefficient (0.2)

16. Introduction Anistropy Heterogeneity Possibilities ConcludingRemarks 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

17. Introduction Anistropy Heterogeneity Possibilities ConcludingRemarks Questions?