WAVELET ANALYSIS OF DOMINANT SCALES OF AQUIFER PROPERTIES AND GROUNDWATER FLOW

Wavelet analysis involves an integral transform of, for example, a permeability data set, using wavelet as the kernel of the transform. A wavelet is a function that is non-zero only over a finite region; therefore the wavelet transform analyzes only a subset of the data set. The wavelet is shifted to analyze different subsets of the data set, and it is scaled to analyze different scales of the data set. Using wavelet analysis, dominant scales of permeability can be identified in a statistically heterogeneous porous medium. Wavelet analsyis is used to investigate the relationship between dominant scales of aquifer properties and dominant scales of groundwater flow.