Wavelet analysis for characterizing spatial heterogeneity in the subsurface

Bai-Lian Li

doi:10.1117/12.217626

1 September 1995 Wavelet analysis for characterizing spatial heterogeneity in the subsurface

Bai-Lian Li

Proceedings Volume 2569, Wavelet Applications in Signal and Image Processing III; (1995) https://doi.org/10.1117/12.217626
Event: SPIE's 1995 International Symposium on Optical Science, Engineering, and Instrumentation, 1995, San Diego, CA, United States

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.

Citation Download Citation

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

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available