Heteroscedasticity in Hard Rock Terrains Extreme variability and its role in hydrogeology Land and Water Resources Engineering Robert Earon Changing Climate Limited Storage Increasing ID: 421187
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Slide1
Kinematic Porosity and Heteroscedasticity in Hard Rock Terrains
Extreme variability and its role in hydrogeology
Land and Water Resources Engineering
Robert
EaronSlide2
Changing
Climate
Limited
StorageIncreasing residency near coastHeteroscedasticity
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
Introduction
Possibilities
Heterogeneity
Anistropy
Concluding
RemarksSlide3
Heterogeneity
Range
Introduction
Possibilities
Heterogeneity
Anistropy
Concluding
Remarks
Nugget
SillSlide4
Spatial Anisotropy
Introduction
Possibilities
Heterogeneity
Anistropy
Concluding
RemarksSlide5
Spatial
Anisotropy
Introduction
Possibilities
Heterogeneity
Anistropy
Concluding
RemarksSlide6
Spatial
Anisotropy
Introduction
Possibilities
Heterogeneity
Anistropy
Concluding
RemarksSlide7
Heterogeneity
in spatial
variance
Introduction
Possibilities
Heterogeneity
Anistropy
Concluding
RemarksSlide8
Heterogeneity
in spatial
variance
Introduction
Possibilities
Heterogeneity
Anistropy
Concluding
RemarksSlide9
Heterogeneity
in spatial
variance
Introduction
Possibilities
Heterogeneity
Anistropy
Concluding
RemarksSlide10
ANOVA, t-test both indicate
samples significantly (sig.<0.000) different
Introduction
Possibilities
Heterogeneity
Anistropy
Concluding
RemarksSlide11
Multivariate Approach
to Groundwater
Resources
Introduction
Possibilities
Heterogeneity
Anistropy
Concluding
RemarksSlide12
Multivariate Approach to
Groundwater Resources
Group
GRP Range
Group Median1-0.75>GRP3.96 l/hr, m2 -0.75<GRP<-0.5
4.09 l/hr, m30.5<GRP<06.08 l/hr, m40<GRP6.36 l/hr, m
4
3
21012
3
4
GRP Group
LN(SC)IntroductionPossibilitiesHeterogeneity
Anistropy
Concluding
RemarksSlide13
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 apertureRelatively simple to collect dataInfluenced by surficial physical factors (weathering)
Introduction
Possibilities
HeterogeneityAnistropy
Concluding
RemarksSlide14
Kinematic
Porosity
Area
Rock type
Fracture frequencyNa (m-1)đťś–eg
(m)λKinematic porositynkMedian capacity(lit/hr)
Älgö
Granite
2.131.50.0010.250.08 %375ÄlgöGneiss-granite1.871.75
0.001
0.2
0.065 %200
ÄlgöSedimentary gneiss1.571.50.0010.20.05 %100
Introduction
Possibilities
Heterogeneity
Anistropy
Concluding
RemarksSlide15
Kinematic porosity maps
correlated to specific
capacity maps (sig. = 0.003) but have
a
very low correlation coefficient (0.2)Introduction
PossibilitiesHeterogeneity
Anistropy
Concluding
RemarksSlide16
Review
Heterogeneity places a high burden on point estimates for regional or even local characterizationHeterogenic, anisotropic variability implies caution should be taken when applying statistical toolsFrom the standpoint of limited-resource hydrogeological investigation, plausibility of applying and developing other tools
Introduction
Possibilities
Heterogeneity
AnistropyConcluding
RemarksSlide17
Questions
?
Introduction
Possibilities
Heterogeneity
Anistropy
Concluding
Remarks