Multifractals and wavelets: A potential tool in geophysics

This paper should be understood as a tutorial in multifractals and their analysis via wavelets, in view of possible applications in geophysics. It is elaborated how a description of the well log measurement through wavelets provides a new way of modeling re ection of waves in a material which is dependent on frequency. The wavelet analysis has the potential to provide an explanation for the inconstencies that are observed when comparing subsurface models that have been constructed from measurements with di erent resolutions, such as surface seismic, vertical seismic pro les and well logs.