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   -> Volume 6, Issue 3


Thesis: A scaling medium representation.
 
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Felix Herrmann (felix@newdelphi.tn.tudelft.nl)
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PostPosted: Mon Feb 17, 1997 5:23 pm    
Subject: Thesis: A scaling medium representation.
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#11 Thesis: A scaling medium representation.

Hereby I would like to announce my thesis, entitled

"A scaling medium representation, a discussion on well-logs,
fractals and waves"

to all of Wavelet Digest readers with an interest in the use of
wavelets to tackle problems in physics. An electronic version of my
thesis can be obtained from my WWW page (without password):

http://wwwak.tn.tudelft.nl/~felix/Thesispub/

where I included the gezipped POSTSCRIPT file PhDthesis.ps.gz. There
are also hardcopy versions of my thesis available. However they are
limited in number. For those interested please give me, by email, your
address.

Kind regards,

Felix Herrmann.

SUMMARY

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

Felix J. Herrmann
Lab. of Seismics and Acoustics URL: http://wwwak.tn.tudelft.nl/~felix/
Centre for Technical Geoscience e-mail: F.J.Herrmann@CTG.TUDelft.NL
Delft University of Technology tel: +31 (0) 15 2783378
the Netherlands fax: +31 (0) 15 2783251
All times are GMT + 1 Hour
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