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Books > Science & Mathematics > Physics > Applied physics & special topics > Geophysics
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Fractal Solutions for Understanding Complex Systems in Earth Sciences (Hardcover, 1st ed. 2016)
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Fractal Solutions for Understanding Complex Systems in Earth Sciences (Hardcover, 1st ed. 2016)
Series: Springer Earth System Sciences
Expected to ship within 10 - 15 working days
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This book deals with fractals in understanding problems encountered
in earth science, and their solutions. It starts with an analysis
of two classes of methods (homogeneous fractals random models, and
homogeneous source distributions or "one point" distributions)
widely diffused in the geophysical community, especially for
studying potential fields and their related source distributions.
Subsequently, the use of fractals in potential fields is described
by scaling spectral methods for estimation of curie depth. The book
also presents an update of the use of the fractal concepts in
geological understanding of faults and their significance in
geological modelling of hydrocarbon reservoirs. Geophysical well
log data provide a unique description of the subsurface lithology;
here, the Detrended Fluctuation Analysis technique is presented in
case studies located off the west-coast of India. Another important
topic is the fractal model of continuum percolation which
quantitatively reproduce the flow path geometry by applying the
Poiseuille's equation. The pattern of fracture heterogeneity in
reservoir scale of natural geological formations can be viewed as
spatially distributed self-similar tree structures; here, the
authors present simple analytical models based on the medium
structural characteristics to explain the flow in natural
fractures. The Fractal Differential Adjacent Segregation (F-DAS) is
an unconventional approach for fractal dimension estimation using a
box count method. The present analysis provides a better
understanding of variability of the system (adsorbents - adsorbate
interactions). Towards the end of book, the authors discuss
multi-fractal scaling properties of seismograms in order to
quantify the complexity associated with high-frequency seismic
signals. Finally, the book presents a review on fractal methods
applied to fire point processes and satellite time-continuous
signals that are sensitive to fire occurrences.
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