HR: 1340h
AN: H23E-1468    [Abstracts]
TI: Identification of Dominant Scales of Permeability Heterogeneity using Wavelet Analysis
AU: * Qi, X
EM: xq6v@virginia.edu
AF: University of Virginia, P.O. Box 400742, Charlottesville, VA 22904 United States
AU: Neupauer, R M
EM: neupauer@colorado.edu
AF: University of Colorado, 428 UCB, Boulder, CO 80309 United States
AB: Wavelet analysis is an increasingly popular tool for image analysis because it can extract local information at multiple scales. Because of this capability, wavelet analysis can be used to identify dominant scales of permeability in a statistically heterogeneous porous medium. Wavelet analysis involves an integral transform of the permeability data set, using a shifted, scaled, and rotated wavelet as the kernel. The result of this integral transform is a tensor of wavelet coefficients, with one value for each combination of position, scale, and orientation. Large magnitudes of the wavelet coefficient correspond to scales and orientations that are dominant at a particular position. Because this tensor is large (e.g., four-dimensional for a two-dimensional permeability field), the identification of dominant scales and orientations is more efficient if the analysis is conducted with more tractable measures that are based on the wavelet coefficients. We investigate the use of several wavelet measures for identifying dominant scales of permeability heterogeneity. We evaluate these measures based on their accuracy in identifying dominant scales in synthetic random permeability fields with known properties.
DE: 1829 Groundwater hydrology
DE: 3252 Spatial analysis (0500)
DE: 3280 Wavelet transform (3255, 4455)
SC: Hydrology [H]
MN: Fall Meeting 2005