Fractals And Chaos In Geology And Geophysics
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Fractals And Chaos In Geology And Geophysics
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Author : Donald L. Turcotte
language : en
Publisher: Cambridge University Press
Release Date : 1997-07-13
Fractals And Chaos In Geology And Geophysics written by Donald L. Turcotte and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-07-13 with Mathematics categories.
The fundamental concepts of fractal geometry and chaotic dynamics, along with the related concepts of multifractals, self-similar time series, wavelets, and self-organized criticality, are introduced in this book, for a broad range of readers interested in complex natural phenomena. Now in a greatly expanded, second edition, this book relates fractals and chaos to a variety of geological and geophysical applications. All concepts are introduced at the lowest possible level of mathematics consistent with their understanding, so that the reader requires only a background in basic physics and mathematics.
Fractals And Chaos In Geology And Geophysics
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Author : Donald Lawson Turcotte
language : en
Publisher:
Release Date : 1992
Fractals And Chaos In Geology And Geophysics written by Donald Lawson Turcotte and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Chaotic behavior in systems categories.
This book introduces the fundamental concepts of fractal geometry and chaotic dynamics. These concepts are then related to a variety of geological and geophysical problems, illustrating just what chaos theory and fractals really tell us and how they can be applied to the earth sciences. Petroleum and mineral reserves, earthquakes, mantle convection and magnetic field generation are among the earth's properties that come under scrutiny. This is the first book that covers these topics at an accessible level; the concepts are introduced at the lowest possible level of mathematics and are consistently understandable, so that the reader requires only a background in basic physics and mathematics. Problems are also included for the reader to solve.
Fractals And Chaos In Geology And Geophysics
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Author : Donald Lawson Turcotte
language : en
Publisher:
Release Date : 1992
Fractals And Chaos In Geology And Geophysics written by Donald Lawson Turcotte and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Chaotic behavior in systems categories.
Geodynamics Of The Lithosphere
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Author : Kurt Stüwe
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-07-03
Geodynamics Of The Lithosphere written by Kurt Stüwe and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-07-03 with Science categories.
The large scale structure of the earth is caused by geodynamic processes which are explained using energetic, kinematic and dynamic descriptions. While "geodynamic processes" are understood to include a large variety of processes and the term is used quite loosely, the methods of their description involve well defined fields. Energetic descriptions are involved with distribu tion of energy in our planet, typically expressed in terms of heat and tempera ture. Kinematic descriptions describe movements using velocities, strains and strain rates. Dynamic descriptions indicate how stresses and forces behave. In the field, we document only the consequences of geological processes. The underlying causes are much harder to constrain directly. Nevertheless, if we want to explain the tectonic evolution of our planet, we need to interpret these causes or: "driving forces" . For this, we need to find a dynamic description of geological processes that is consistent with our observations. Our descriptions relate causes and consequences - tectonic processes with field observations. In many cases, we will use equations as a concise form to describe processes and observations in nature. As we will be dealing mostly with large scale tectonic questions, the observations that we shall use are also on a large scale. For example, we shall use observations on the elevation (Fig. 1. 1) and heat flow of mountain ranges, the thickness of continents and the water depth of the oceans.
Fractals And Dynamic Systems In Geoscience
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Author : Jörn H. Kruhl
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Fractals And Dynamic Systems In Geoscience written by Jörn H. Kruhl and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Science categories.
Fractal geometry allows the description of natural patterns and the establishment and testing of models of pattern formation. In particular, it is a tool for geoscientists. The aim of this volume is to give an overview of the applications of fractal geometry and the theory of dynamic systems in the geosciences. The state of the art is presented and the reader obtains an impression of the variety of fields for which fractal geometry is a useful tool and of the different methods of fractal geometry which can be applied. In addition to specific information about new applications of fractal geometry in structural geology, physics of the solid earth, and mineralogy, proposals and ideas about how fractal geometry can be applied in the reader's field of studies will be put forward.
Fractals And Multifractals In The Geosciences
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Author : Behnam Sadeghi
language : en
Publisher: Elsevier
Release Date : 2024-05-17
Fractals And Multifractals In The Geosciences written by Behnam Sadeghi and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-05-17 with Science categories.
Fractals and Multifractals in the Geosciences details the application of a wide range of multifractal methods, including many novel ones developed by the author, along with the assessment of uncertainty in sample classification and stability of spatial patterns. This book also provides criteria for selection of the most effective combination of data pre-processing and multifractal modeling to extract desired features or signals in the data. The book specifically aims to introduce, apply, and test novel multifractal models that account directly for changes in relationships between variables, as well as the effects of distance between samples and the source of anomalous metal contents in geoscience samples. Linked to this will be assessment of the effects of different pre-processing of data prior to application of the models and quantification/model uncertainty in geochemical anomaly maps, associated with sample classification and spatial interpolation. Gaussian simulations such as Sequential Gaussian Simulation and Monte Carlo Simulation will be applied to the new multifractal models developed and a suite of existing models, including (simulated) concentration-area, spectrum-area, singularity and other models.Fractals and Multifractals in the Geosciences will be invaluable for mathematical geoscientists, geostatisticians, exploration, applied, urban and environmental geochemists, computational geoscientists, data scientists, and GIS professionals who need to better understand fractal geometry, along with its theory and applications in geochemical anomaly classification to generate maps that are helpful for decision-making for follow-up sampling and explorations. - Provides a comprehensive overview of the use of fractal and multifractal modeling methods, with a detailed assessment of uncertainty quantification in samples and classified models - Specifically includes novel multifractal models, as well as uncertainty quantification and decision-making methods for use in geosciences and especially geochemistry - Includes case studies showing the application of the fractal and multifractal methods detailed in the book
Wavelets And Fractals In Earth System Sciences
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Author : E. Chandrasekhar
language : en
Publisher: Taylor & Francis
Release Date : 2013-11-20
Wavelets And Fractals In Earth System Sciences written by E. Chandrasekhar and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-20 with Science categories.
The subject of wavelet analysis and fractal analysis is fast developing and has drawn a great deal of attention in varied disciplines of science and engineering. Over the past couple of decades, wavelets, multiresolution, and multifractal analyses have been formalized into a thorough mathematical framework and have found a variety of applications w
Fractals In Petroleum Geology And Earth Processes
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Author : C.C. Barton
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Fractals In Petroleum Geology And Earth Processes written by C.C. Barton and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Technology & Engineering categories.
In this unique volume, renowned experts discuss the applications of fractals in petroleum research-offering an excellent introduction to the subject. Contributions cover a broad spectrum of applications from petroleum exploration to production. Papers also illustrate how fractal geometry can quantify the spatial heterogeneity of different aspects of geology and how this information can be used to improve exploration and production results.
Fractal Behaviour Of The Earth System
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Author : V.P. Dimri
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-12-27
Fractal Behaviour Of The Earth System written by V.P. Dimri and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-12-27 with Science categories.
It is with pleasure that I write the foreword to this excellent book. A wide range of observations in geology and solid-earth geophysics can be - plained in terms of fractal distributions. In this volume a collection of - pers considers the fractal behavior of the Earth's continental crust. The book begins with an excellent introductory chapter by the editor Dr. V.P. Dimri. Surface gravity anomalies are known to exhibit power-law spectral behavior under a wide range of conditions and scales. This is self-affine fractal behavior. Explanations of this behavior remain controversial. In chapter 2 V.P. Dimri and R.P. Srivastava model this behavior using Voronoi tessellations. Another approach to understanding the structure of the continental crust is to use electromagnetic induction experiments. Again the results often exhibit power law spectral behavior. In chapter 3 K. Bahr uses a fractal based random resister network model to explain the observations. Other examples of power-law spectral observations come from a wide range of well logs using various logging tools. In chapter 4 M. Fedi, D. Fiore, and M. La Manna utilize multifractal models to explain the behavior of well logs from the main KTB borehole in Germany. In chapter 5 V.V. Surkov and H. Tanaka model the electrokinetic currents that may be as- ciated with seismic electric signals using a fractal porous media. In chapter 6 M. Pervukhina, Y. Kuwahara, and H. Ito use fractal n- works to correlate the elastic and electrical properties of porous media.
Fractal Solutions For Understanding Complex Systems In Earth Sciences
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Author : V.P. Dimri
language : en
Publisher: Springer
Release Date : 2015-11-21
Fractal Solutions For Understanding Complex Systems In Earth Sciences written by V.P. Dimri and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-11-21 with Science categories.
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.