Fractal models in the earth sciences:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Amsterdam u.a.
Elsevier
1992
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| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XXVIII, 396 S. Ill., graph. Darst., Kt. |
| ISBN: | 0444889078 |
Internformat
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Datensatz im Suchindex
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| adam_text | Fractal Models in
the Earth Sciences
G Kprvin
Department of Geology and Geophysics
University of Adelaide
P O Box 498, Adelaide, S A 5001, Australia
ELSEVIER
AMSTERDAM • LONDON • NEW YORK • TOKYO
XXVII
Contents
Preface VII
Acknowledgements for reproductions of previously published material XI^
1 What on earth fractal? 1
1 1 The self-similarity of rivers 1
1 2 How long is the Vistula river? 11
1 3 The paradox of tortuosity: permeability of kaolinite-bearing sandstones 17
131 The permeability ofshaty sandstones 17
132 Basic concepts of percolation theory 21
133 Percolation models of rock permeability 30
1 4 Deadly quarrels and coastlines 34
141 The coastline of Britain 34
142A fractal model of coastal erosion 40
143 Bifractal coastlines 47
1 5 The perimeter-area rule of Mandelbrot 55
151 Islands and lakes 55
152 The fractal shape of clouds 62
153 The slit island analysis of fracture surfaces 66
Al Mathematical appendix 73
Al l The functional equations of similarity 73
A1 2 Fractal curves are hot 77
References 81
2 Fractals in Flatland: a romance of 2 dimensions 87
2 1 The paradox of sedimentation rate 87
211 Stratigraphic hiatuses and sedimentation rate 87
212 From the Cantor dust to the Devil s staircase 90
213A fractal model for stratigraphic hiatuses 95
214 Sadler s model of unsteady sedimentation and its fractal generalisation 102
2 2 Fractal analysis along a line: slip lines and fractures 113
2 3 Strange attractors, aggregates and geophysical networks 118
231 Fractal characterisation of geophysical measuring networks 120
2 4 Fractals in the plane: fractures-earthquakes-volcanoes 127
241 Cellular structures 127
242 Fracture networks, faults and earthquakes 144
A2 Mathematical appendix 171
A2 1 Different kinds of fractal dimensions and their numerical determination 171
References 180
XXVIII FRACTAL MODELS IN THE EARTH SCIENCES
3 Korcak s law and fragmentation theory 191
3 1 The size-frequency relation for islands, lakes and caves 191
3 2 Fragmentation: from broken sea ice to the distribution of galaxies 200
321 The fractal theory of fragmentation 200
322 The Renormalization Group (RNG) model of rock fragmentation 210
323 Maximum-entropy people and fractal people 215
References 226
4 Fractal surfaces 231
4 1 Fractal surfaces everywhere 231
4 2 Simple geometrical models of fractal surfaces 243
4 3 Analytical treatment of fractal surfaces 253
4 4 Wave scattering from fractal surfaces 265
4 5 Fractal models of porous rocks 284
451 Why are the pores fractal rather than smooth? 306
4 6 Multifractal measures — not for the squeamish 308
References 317
5 Of time and change 327
5 1 Paradoxes of time 327
511 The puzzle called the Hurst phenomenon 328
512 Paradoxes of the 1// noise 339
5 2 On growth and form 349
References 366
Author index 373
Subject index 383
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| isbn | 0444889078 |
| language | English |
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| physical | XXVIII, 396 S. Ill., graph. Darst., Kt. |
| publishDate | 1992 |
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| spelling | Korvin, Gabor Verfasser aut Fractal models in the earth sciences G. Korvin Amsterdam u.a. Elsevier 1992 XXVIII, 396 S. Ill., graph. Darst., Kt. txt rdacontent n rdamedia nc rdacarrier Modell (DE-588)4039798-1 gnd rswk-swf Fraktal (DE-588)4123220-3 gnd rswk-swf Geowissenschaften (DE-588)4020288-4 gnd rswk-swf Geowissenschaften (DE-588)4020288-4 s Fraktal (DE-588)4123220-3 s Modell (DE-588)4039798-1 s DE-604 HEBIS Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005276194&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Korvin, Gabor Fractal models in the earth sciences Modell (DE-588)4039798-1 gnd Fraktal (DE-588)4123220-3 gnd Geowissenschaften (DE-588)4020288-4 gnd |
| subject_GND | (DE-588)4039798-1 (DE-588)4123220-3 (DE-588)4020288-4 |
| title | Fractal models in the earth sciences |
| title_auth | Fractal models in the earth sciences |
| title_exact_search | Fractal models in the earth sciences |
| title_full | Fractal models in the earth sciences G. Korvin |
| title_fullStr | Fractal models in the earth sciences G. Korvin |
| title_full_unstemmed | Fractal models in the earth sciences G. Korvin |
| title_short | Fractal models in the earth sciences |
| title_sort | fractal models in the earth sciences |
| topic | Modell (DE-588)4039798-1 gnd Fraktal (DE-588)4123220-3 gnd Geowissenschaften (DE-588)4020288-4 gnd |
| topic_facet | Modell Fraktal Geowissenschaften |
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