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| Content Provider | Springer Nature Link |
|---|---|
| Author | Sahimi, Muhammad |
| Copyright Year | 2001 |
| Abstract | We describe wavelet transformations (WTs) and their basic properties, and discuss their application to analysis of complex and noisy data. These transformations are a powerful tool for data and image analysis by (1) providing a flexible spatial- and/or time-scale window which narrows when one focusses on small-scale features and widens when one wishes to analyze large scale features, and (2) providing the capability for analyzing special characteristics of a set of data or images around specific points. We discuss application of WTs to developing a unified and highly efficient method for characterization and simulation of porous media problems, from pore to field scale. The method uses WTs for data mining and characterization, scale-up of the geological (fine-scale) model of porous media, and interpretation of their transient flow properties. The data that can be treated by WTs include the direct data, such as various well logs and the permeability distributions, and the indirect data, such as seismic signals, and other characteristics of porous media. Wavelet transformations denoise the data, uncover their special features, and discover the structure of their distribution. They also provide an efficient method for processing seismic data, which are typically in huge volumes. Wavelet transformations can also analyze time-dependent flow data, such as long-term production data for oil reservoirs, as well as time-dependent seismic data (i.e., repeated measurements over regular time intervals). Therefore, one has, for the first time, a unified approach to characterization and modelling of large-scale porous media and extraction of information from their flow properties, from pore to field scale. The computational cost of the method can be orders of magnitude less than those of the most efficient methods currently available. |
| Starting Page | 3 |
| Ending Page | 14 |
| Page Count | 12 |
| File Format | |
| ISSN | 14345021 |
| Journal | Granular Matter |
| Volume Number | 3 |
| Issue Number | 1-2 |
| Language | English |
| Publisher | Springer-Verlag |
| Publisher Date | 2001-01-01 |
| Publisher Place | Berlin Heidelberg |
| Access Restriction | One Nation One Subscription (ONOS) |
| Content Type | Text |
| Resource Type | Article |
| Subject | Physics and Astronomy Mechanics of Materials Materials Science |
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