HR: 09:30h
AN: H11I-06 [Abstracts]
TI: Using Wavelet Analysis to Identify Dominant Scales of Hydraulic Conductivity and Head Fields
AU: * Dillin, M F
EM: matthew.dillin@colorado.edu
AF: University of Colorado, 1111 Engineering Dr.
ECOT 441, UCB 428, Boulder, CO 80309, United States
AU: Neupauer, R M
EM: neupauer@colorado.edu
AF: University of Colorado, 1111 Engineering Dr.
ECOT 441, UCB 428, Boulder, CO 80309, United States
AB:
Wavelet analysis involves an integral transform of, for example, a permeability data set, using a wavelet as the
kernel of the transform. A wavelet is a function that is non-zero only over a finite region; therefore the wavelet
transform analyzes only a subset of the data set. The wavelet is shifted to analyze different subsets of the data
set, and it is scaled to analyze different scales of the data set. We generate sets of bounded one dimensional,
statistically homogeneous permeability fields with exponential distributions, and we run numerical flow
simulations using these permeability fields. We use the global wavelet energy spectrum (GWES) to analyze the
dominate scales in both the permeability fields and resulting head distributions, and we explore the relationships
between dominant scales. We develop analytical solutions for the GWES to corroborate these relationships.
DE: 1829 Groundwater hydrology
DE: 1847 Modeling
DE: 1869 Stochastic hydrology
DE: 3280 Wavelet transform (3255, 4455)
SC: Hydrology [H]
MN: 2007 Fall Meeting