November 29, 2020

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Fractal Models in Exploration Geophysics

Fractal Models in Exploration Geophysics
Author : Vijay Dimri,R. P. Srivastava,Nimisha Vedanti
Publisher : Elsevier
Release Date : 2012
Category : Science
Total pages :165
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Researchers in the field of exploration geophysics have developed new methods for the acquisition, processing and interpretation of gravity and magnetic data, based on detailed investigations of bore wells around the globe. Fractal Models in Exploration Geophysics describes fractal-based models for characterizing these complex subsurface geological structures. The authors introduce the inverse problem using a fractal approach which they then develop with the implementation of a global optimization algorithm for seismic data: very fast simulated annealing (VFSA). This approach provides high-resolution inverse modeling results--particularly useful for reservoir characterization. Serves as a valuable resource for researchers studying the application of fractals in exploration, and for practitioners directly applying field data for geo-modeling Discusses the basic principles and practical applications of time-lapse seismic reservoir monitoring technology - application rapidly advancing topic Provides the fundamentals for those interested in reservoir geophysics and reservoir simulation study Demonstrates an example of reservoir simulation for enhanced oil recovery using CO2 injection

Wavelets and Fractals in Earth System Sciences

Wavelets and Fractals in Earth System Sciences
Author : E. Chandrasekhar,V. P. Dimri,V. M. Gadre
Publisher : Taylor & Francis
Release Date : 2013-11-20
Category : Science
Total pages :306
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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 with significant impact in several branches of earth system sciences. Wavelets and Fractals in Earth System Sciences highlights the role of advanced data processing techniques in present-day research in various fields of earth system sciences. The book consists of ten chapters, providing a well-balanced blend of information about the role of wavelets, fractals, and multifractal analyses with the latest examples of their application in various research fields. By combining basics with advanced material, this book introduces concepts as needed and serves as an excellent introductory material and also as an advanced reference text for students and researchers.

Fractals in Petroleum Geology and Earth Processes

Fractals in Petroleum Geology and Earth Processes
Author : C.C. Barton,P.R. La Pointe,P R La Pointe
Publisher : Springer Science & Business Media
Release Date : 1995-01-31
Category : Mathematics
Total pages :317
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Statistics of natural resources and the law of pareto. The fractal size and spatial distribution of hydrocarbon accumulations: implications for resourse assessment and exploration strategy. Estimation of Undicovered hydrocarbon potential through fractal geometry. Fractals and the pareto distribution applied to petroleum accumulation size distributions. Fractal and multifractal models and methods and stratigraphy. On the scale indenpendent shape of prograding stratigraphic units: applications to sequence stratigraphy. New models require new data: fractal and multifractal measures of gravel bedload. Erosional development of the epithopian plateau of northeast Africa from fractal analysis of topography. Hierarchical cascades and single fracture: percolation and seismic detection. Fractals paterns in porous media flow: modeling of laboratory experiments. Diffusion-limited aggregation in the earth sciences. Creating reservoir simulations with fractasl characteristics. Vertical versus Horizontal well log variability and application to fractal reservoir modeling. Fractals and exploration geophysics: seismic deconvolution and geophysical inverse problems.

Fractal Models in Exploration Geophysics

Fractal Models in Exploration Geophysics
Author : V P Dimri,R P Srivastava,Nimisha Vedanti
Publisher : Unknown
Release Date : 2019-10-15
Category :
Total pages :250
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Fractal Models in Geophysics: Seismic Modelling and Interpretation describes fractal-based models for characterizing and interpreting complex subsurface geological structures based on gravity and magnetic data. The book introduces the inverse problem using a fractal approach, which is then developed with the implementation of a global optimization algorithm for seismic data: very fast simulated annealing (VFSA). It discusses applications in seismic exploration, modelling, interpretation, and rock property estimation. Updated with the latest technology and examples, Fractal Models in Geophysics demonstrates how the fractal theory has challenged the concept of random distribution of source's properties, such as reflectivity, density, porosity. As such, it is a valuable resource for geophysicists and exploration geologists, as well as to those interested the study of seismicity and reservoirs. Serves as a valuable resource for researchers studying the application of fractals in exploration, modelling, and interpretation, and for practitioners directly applying field data for geophysical modelling and estimating reservoir rock properties Discusses the basic principles and practical applications of time-lapse seismic reservoir monitoring technology Demonstrates how the fractal theory can be used the processing and inversion of seismic data as well as in seismic reservoir characterization Includes updates throughout to reflect advances in the field and technology

Fractal Behaviour of the Earth System

Fractal Behaviour of the Earth System
Author : V.P. Dimri
Publisher : Springer Science & Business Media
Release Date : 2005-12-27
Category : Science
Total pages :208
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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

Fractal Solutions for Understanding Complex Systems in Earth Sciences
Author : V.P. Dimri
Publisher : Springer
Release Date : 2015-11-21
Category : Science
Total pages :152
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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.

Geostatistics for Seismic Data Integration in Earth Models

Geostatistics for Seismic Data Integration in Earth Models
Author : Olivier Dubrule,Society of Exploration Geophysicists,European Association of Geoscientists and Engineers
Publisher : SEG Books
Release Date : 2003
Category : Technology & Engineering
Total pages :273
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Fractal Solutions for Understanding Complex Systems in Earth Sciences

Fractal Solutions for Understanding Complex Systems in Earth Sciences
Author : V.P. Dimri
Publisher : Springer
Release Date : 2015-11-21
Category : Science
Total pages :152
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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.

Fractals in the Earth Sciences

Fractals in the Earth Sciences
Author : C.C. Barton,P.R. La Pointe,Paul R. LaPointe
Publisher : Springer Science & Business Media
Release Date : 1995-02-28
Category : Mathematics
Total pages :265
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This well-illustrated volume reviews the many applications of fractal geometry used to study earth science patterns and processes. Designed as an introduction to this new area of study, the papers represent a broad spectrum of earth science disciplines where patterns have proven to be fractal over many orders of magnitude in time or space. This volume features an exhaustive list of published fractal dimensions measured for earth science patterns.

Fractal Analysis for Natural Hazards

Fractal Analysis for Natural Hazards
Author : Giuseppe Cello,Bruce D. Malamud
Publisher : Geological Society of London
Release Date : 2006
Category : Science
Total pages :172
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In the Earth Sciences, the concept of fractals and scale invariance is well-recognized in many natural objects. However, the use of fractals for spatial and temporal analyses of natural hazards has been less used (and accepted) in the Earth Sciences. This book brings together twelve contributions that emphasize the role of fractal analyses in natural hazard research, including landslides, wildfires, floods, catastrophic rock fractures and earthquakes. A wide variety of spatial and temporal fractal-related approaches and techniques are applied to 'natural' data, experimental data, and computer simulations. These approaches include probabilistic hazard analysis, cellular-automata models, spatial analyses, temporal variability, prediction, and self-organizing behaviour. The main aims of this volume are to present current research on fractal analyses as applied to natural hazards, and to stimulate the curiosity of advanced Earth Science students and researchers in the use of fractals analyses for the better understanding of natural hazards.

Global Optimization Methods in Geophysical Inversion

Global Optimization Methods in Geophysical Inversion
Author : Mrinal K. Sen,Paul L. Stoffa
Publisher : Cambridge University Press
Release Date : 2013-02-21
Category : Science
Total pages :129
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Providing an up-to-date overview of the most popular global optimization methods used in interpreting geophysical observations, this new edition includes a detailed description of the theoretical development underlying each method and a thorough explanation of the design, implementation and limitations of algorithms. New and expanded chapters provide details of recently developed methods, such as the neighborhood algorithm, particle swarm optimization, hybrid Monte Carlo and multi-chain MCMC methods. Other chapters include new examples of applications, from uncertainty in climate modeling to whole earth studies. Several different examples of geophysical inversion, including joint inversion of disparate geophysical datasets, are provided to help readers design algorithms for their own applications. This is an authoritative and valuable text for researchers and graduate students in geophysics, inverse theory and exploration geoscience, and an important resource for professionals working in engineering and petroleum exploration.

Seismic Inversion & Deconvolution

Seismic Inversion & Deconvolution
Author : Enders A. Robinson
Publisher : Unknown
Release Date : 1984
Category : Geophysics
Total pages :349
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Fractal Analysis and Chaos in Geosciences

Fractal Analysis and Chaos in Geosciences
Author : Sid-Ali Ouadfeul
Publisher : BoD – Books on Demand
Release Date : 2012-11-14
Category : Mathematics
Total pages :184
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The fractal analysis is becoming a very useful tool to process obtained data from chaotic systems in geosciences. It can be used to resolve many ambiguities in this domain. This book contains eight chapters showing the recent applications of the fractal/mutifractal analysis in geosciences. Two chapters are devoted to applications of the fractal analysis in climatology, two of them to data of cosmic and solar geomagnetic data from observatories. Four chapters of the book contain some applications of the (multi-) fractal analysis in exploration geophysics. I believe that the current book is an important source for researchers and students from universities.

Basics of Computational Geophysics

Basics of Computational Geophysics
Author : Pijush Samui,Barnali Dixon,Dieu Tien Bui
Publisher : Elsevier
Release Date : 2020-12-01
Category : Science
Total pages :432
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Basics of Computational Geophysics provides a one-stop, collective resource for practitioners on the different techniques and models in geoscience, their practical applications, and case studies. The reference provides the modeling theory in an easy-to-read format that is verified with onsite models for specific regions and scenarios, including the use of big data and artificial intelligence. This book offers a platform whereby readers will learn theory, practical applications, and the comparison of real-world problems surrounding geomechanics, modeling and optimizations. Covers various advanced computational techniques for solving different problems in geophysics, including the use of Big Data and artificial intelligence Includes case studies that provide examples surrounding practical applications Provides an assessment of the capabilities of commercial software

An Introduction to Geophysical Exploration

An Introduction to Geophysical Exploration
Author : Philip Kearey,Michael Brooks,Ian Hill
Publisher : John Wiley & Sons
Release Date : 2013-04-16
Category : Science
Total pages :272
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This new edition of the well-established Kearey and Brooks text is fully updated to reflect the important developments in geophysical methods since the production of the previous edition. The broad scope of previous editions is maintained, with even greater clarity of explanations from the revised text and extensively revised figures. Each of the major geophysical methods is treated systematically developing the theory behind the method and detailing the instrumentation, field data acquisition techniques, data processing and interpretation methods. The practical application of each method to such diverse exploration applications as petroleum, groundwater, engineering, environmental and forensic is shown by case histories. The mathematics required in order to understand the text is purposely kept to a minimum, so the book is suitable for courses taken in geophysics by all undergraduate students. It will also be of use to postgraduate students who might wish to include geophysics in their studies and to all professional geologists who wish to discover the breadth of the subject in connection with their own work.