Paper
1 September 1995 Wavelet analysis for characterizing spatial heterogeneity in the subsurface
Bai-Lian Li
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Abstract
Wavelet analysis is a newly developed technique for separating and sorting structures on different time scales at different times, and different spatial scales at different locations. Mathematically, it is related to Fourier spectral analysis. It has been used extensively for image and signal processing, including the processing of seismic and turbulence data in geophysics. Characterizing spatial heterogeneity in the subsurface is an important issue for construction of facilities for waste containment and management, prediction of transport of pollutants through geologic media and remediation of contaminated sites. Localization processes in the subsurface and multiscale effect in geologic sampling data have to be addressed in the site characterization. Current methods can not solve these problems, however. The potential exists for using wavelet analysis as the multiscale spatial heterogeneity analysis method for characterizing detailed geologic structures. In particular, wavelet analysis overcomes significant limitations in standard geostatistics. We first present these limitations, then demonstrate how wavelet analysis overcomes them. We conclude with two demonstrations of geologic data analyses (the spatial variability of permeability in the alluvial fan deposits in DOE Nevada Test Site Pit 3. and cone penetrometer data interpretation) using wavelet analysis, compared to current geostatistical approaches.
© (1995) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Bai-Lian Li "Wavelet analysis for characterizing spatial heterogeneity in the subsurface", Proc. SPIE 2569, Wavelet Applications in Signal and Image Processing III, (1 September 1995); https://doi.org/10.1117/12.217626
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Cited by 4 scholarly publications.
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KEYWORDS
Wavelets

Signal processing

Wavelet transforms

Statistical analysis

Data modeling

Fractal analysis

Data integration

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