Preprint page Felix Herrmann
Preprint page Felix Herrmann
Thesis title:
"A scaling medium representation, a discussion on well-logs, fractals and waves"
Abstract:
The main subject of this research project was, and still is, to
understand how the complexity of the earth's subsurface is
transferred to the wavefield. It was shown that the apparent
complexity can be captured by means of a scaling medium
representation where the H\"older exponents and the singularity
spectrum constitute useful order of magnitude estimates. These
estimates mathematically quantify the local and global aspects of
the singularity structure delineating the scaling. At this point
the question arises whether the current formulation for acoustic
wave motion is capable of describing the transport of the
singularity structure, displayed by the medium's heterogeneity, to
the acoustic wavefield and vice versa.
keywords:
Scaling, Scale dynamics, Multifractals, Geophysics, Wave motion,
Scattering, Wave localization, Homogenization theory, Seismic
exploration, Multiscale analysis, Wavelets, Well-logs
Propositions:
address:
dr. ir. F.J. Herrmann
Delft University of Technology
Faculty of Applied Physics
Laboratory of Seismics and Acoustics, Center for Technical Geoscience
Lorentzweg 1
2628 CJ Delft, The Netherlands
Phone fac : +33 (0) 15 - 278 33 78
Phone home : +33 (0) 70 - 358 72 25
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