Wavelet Analysis and Filtering to Identify Dominant Orientations of Permeability Anisotropy |
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| Authors: | Loring Watkins Roseanna M Neupauer Gilbert P Compo |
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| Institution: | (1) University of Colorado at Boulder, Boulder, CO, USA;(2) Present address: Schnabel Engineering, Greensboro, NC, USA;(3) Department of Civil, Environmental, and Architectural Engineering, University of Colorado at Boulder, Boulder, CO 80309, USA;(4) CIRES/Climate Diagnostics Center, and NOAA Earth System Research Laboratory/Physical Sciences Division, University of Colorado at Boulder, Boulder, CO, USA |
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| Abstract: | An accurate representation of permeability anisotropy is needed to model the rate and direction of groundwater flow correctly.
We develop a wavelet analysis technique that can be used to characterize principal directions of anisotropy in both stationary
and non-stationary permeability fields. Wavelet analysis involves the integral transform of a field using a wavelet as a kernel.
The wavelet is shifted, scaled, and rotated to analyze different locations, sizes, and orientations of the field. The wavelet
variance is used to identify scales and orientations that dominate the field. If the field is non-stationary, such that different
zones of the field are characterized by different dominant scales or orientations, the wavelet variance can identify all dominant
scales and orientations if they are distinct. If the dominant scales and orientations of different zones are similar, the
wavelet variance identifies only the dominant scale and orientation of the primary zone. In this paper, we present a combined
wavelet analysis and filtering approach to identify all dominant scales and orientations in a non-stationary permeability
field. We apply the method to permeability data obtained in the laboratory from the Massillon sandstone. |
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| Keywords: | Heterogeneity Non-stationary Morlet wavelet Permeability Anisotropy Wavelet analysis |
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