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Wave Fields in Real Media

Wave Fields in Real Media Book
Author : José M. Carcione
Publisher : Elsevier
Release : 2007-01-24
ISBN : 9780080468907
Language : En, Es, Fr & De

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Book Description :

This book examines the differences between an ideal and a real description of wave propagation, where ideal means an elastic (lossless), isotropic and single-phase medium, and real means an anelastic, anisotropic and multi-phase medium. The analysis starts by introducing the relevant stress-strain relation. This relation and the equations of momentum conservation are combined to give the equation of motion. The differential formulation is written in terms of memory variables, and Biot's theory is used to describe wave propagation in porous media. For each rheology, a plane-wave analysis is performed in order to understand the physics of wave propagation. The book contains a review of the main direct numerical methods for solving the equation of motion in the time and space domains. The emphasis is on geophysical applications for seismic exploration, but researchers in the fields of earthquake seismology, rock acoustics, and material science - including many branches of acoustics of fluids and solids - may also find this text useful. * Presents the fundamentals of wave propagation in anisotropic, anelastic and porus media * Contains a new chapter on the analogy between acoustic and electromagnetic waves, incorporating the subject of electromagnetic waves * Emphasizes geophysics, particularly, seismic exploration for hydrocarbon reservoirs, which is essential for exploration and production of oil

Wave Fields in Real Media

Wave Fields in Real Media Book
Author : José M. Carcione
Publisher : Elsevier Science
Release : 2014-11-14
ISBN : 9780080999999
Language : En, Es, Fr & De

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Book Description :

Authored by the internationally renowned José M. Carcione, Wave Fields in Real Media: Wave Propagation in Anisotropic, Anelastic, Porous and Electromagnetic Media examines the differences between an ideal and a real description of wave propagation, starting with the introduction of relevant stress-strain relations. The combination of this relation and the equations of momentum conservation lead to the equation of motion. The differential formulation is written in terms of memory variables, and Biot's theory is used to describe wave propagation in porous media. For each rheology, a plane-wave analysis is performed in order to understand the physics of wave propagation. This book contains a review of the main direct numerical methods for solving the equation of motion in the time and space domains. The emphasis is on geophysical applications for seismic exploration, but researchers in the fields of earthquake seismology, rock acoustics, and material science - including many branches of acoustics of fluids and solids - may also find this text useful. New to this edition: This new edition presents the fundamentals of wave propagation in Anisotropic, Anelastic, Porous Media while also incorporating the latest research from the past 7 years, including that of the author. The author presents all the equations and concepts necessary to understand the physics of wave propagation. These equations form the basis for modeling and inversion of seismic and electromagnetic data. Additionally, demonstrations are given, so the book can be used to teach post-graduate courses. Addition of new and revised content is approximately 30%. Examines the fundamentals of wave propagation in anisotropic, anelastic and porous media Presents all equations and concepts necessary to understand the physics of wave propagation, with examples Emphasizes geophysics, particularly, seismic exploration for hydrocarbon reservoirs, which is essential for exploration and production of oil

Seismic Wave Propagation in Real Media

Seismic Wave Propagation in Real Media Book
Author : S. Berzon
Publisher : Springer Science & Business Media
Release : 2012-12-06
ISBN : 1475704836
Language : En, Es, Fr & De

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Book Description :

Until recently, the interpretation of data obtained in seismic exploration has been based on comparatively simple representations of the Earth. The most commonly used representation for the Earthhas been a set of thick layers, each characterized by a single value for the propa gation speed of seismic waves. During the last several years, more complicated representa tions in the form of thin layers with vertical velocity gradients, as weIl as homogeneous thin layers have been considered. New methods for studying propagation speeds in a medium, particularly ultrasonic logging methods, and the results of theoretical and experimental studies of the dynamic characteristics of seismic waves have revealed that areal Earth is considerably more complicated than the simple models accepted in the past. This has led to a need for more realistic representations of the real Earth as a medium through wh ich seismic waves propagate. Because of this, tlie Department of Seismic Exploration Methods of the Institute of Physics of the Earth of the Acad emy of Sciences of the USSR has been carrying out both experimental and theoretical studies on the topic "Selection of Physical Representations of Actual Media and the Study of the Correspond ing Wave Propagation Effects. " Three major subdivisions have been recognized within this over all pro gram: 1. The establishment of a direct relationship between the structure of a real medium and the basic wave-propagation characteristics.

Seismic Wave Theory

Seismic Wave Theory Book
Author : Edward S. Krebes
Publisher : Cambridge University Press
Release : 2019-04-30
ISBN : 110866010X
Language : En, Es, Fr & De

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Book Description :

Perfect for senior undergraduates and first-year graduate students in geophysics, physics, mathematics, geology and engineering, this book is devoted exclusively to seismic wave theory. The result is an invaluable teaching tool, with its detailed derivations of formulas, clear explanations of topics, exercises along with selected answers, and an additional set of exercises with derived answers on the book's website. Some highlights of the text include: a review of vector calculus and Fourier transforms and an introduction to tensors, which prepare readers for the chapters to come; and a detailed discussion on computing reflection and transmission coefficients, a topic of wide interest in the field; a discussion in later chapters of plane waves in anisotropic and anelastic media, which serves as a useful introduction to these two areas of current research in geophysics. Students will learn to understand seismic wave theory through the book's clear and concise pedagogy.

Multi Component Acoustic Characterization of Porous Media

Multi Component Acoustic Characterization of Porous Media Book
Author : Karel N. van Dalen
Publisher : Springer Science & Business Media
Release : 2013-01-11
ISBN : 3642348459
Language : En, Es, Fr & De

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Book Description :

The feasibility to extract porous medium parameters from acoustic recordings is investigated. The thesis gives an excellent discussion of our basic understanding of different wave modes, using a full-waveform and multi-component approach. Focus lies on the dependency on porosity and permeability where especially the latter is difficult to estimate. In this thesis, this sensitivity is shown for interface-wave and reflected-wave modes. For each of the pseudo-Rayleigh and pseudo-Stoneley interface waves unique estimates for permeability and porosity can be obtained when impedance and attenuation are combined. The pseudo-Stoneley wave is most sensitive to permeability: both the impedance and the attenuation are controlled by the fluid flow. Also from reflected-wave modes unique estimates for permeability and porosity can be obtained when the reflection coefficients of different reflected modes are combined. In this case the sensitivity to permeability is caused by subsurface heterogeneities generating mesoscopic fluid flow at seismic frequencies. The results of this thesis suggest that estimation of in-situ permeability is feasible, provided detection is carried out with multi-component measurements. The results of this thesis argely affect geotechnical and reservoir engineering practices.

The Finite Difference Modelling of Earthquake Motions

The Finite Difference Modelling of Earthquake Motions Book
Author : Peter Moczo,Jozef Kristek,Martin Gális
Publisher : Cambridge University Press
Release : 2014-04-24
ISBN : 1107028817
Language : En, Es, Fr & De

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Book Description :

"Numerical simulation is an irreplaceable tool in earthquake ground motion research. Among all the numerical methods in seismology, the finite-difference (FD) technique is the most widely-used, providing the best balance of accuracy and computational efficiency. Now, for the first time, this book offers a comprehensive introduction to this method and its applications to earthquake motion"--

Fractional Calculus and Waves in Linear Viscoelasticity

Fractional Calculus and Waves in Linear Viscoelasticity Book
Author : Francesco Mainardi
Publisher : World Scientific
Release : 2010
ISBN : 1848163304
Language : En, Es, Fr & De

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Book Description :

This monograph provides a comprehensive overview of the author's work on the fields of fractional calculus and waves in linear viscoelastic media, which includes his pioneering contributions on the applications of special functions of the Mittag-Leffler and Wright types. It is intended to serve as a general introduction to the above-mentioned areas of mathematical modeling. The explanations in the book are detailed enough to capture the interest of the curious reader, and complete enough to provide the necessary background material needed to delve further into the subject and explore the research literature given in the huge general bibliography. This book is likely to be of interest to applied scientists and engineers.

Applications of Homogenization Theory to the Study of Mineralized Tissue

Applications of Homogenization Theory to the Study of Mineralized Tissue Book
Author : Robert P. Gilbert,Ana Vasilic,Sandra Klinge,Alex Panchenko,Klaus Hackl
Publisher : CRC Press
Release : 2020-12-29
ISBN : 1584887923
Language : En, Es, Fr & De

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Book Description :

Homogenization is a fairly new, yet deep field of mathematics which is used as a powerful tool for analysis of applied problems which involve multiple scales. Generally, homogenization is utilized as a modeling procedure to describe processes in complex structures. Applications of Homogenization Theory to the Study of Mineralized Tissue functions as an introduction to the theory of homogenization. At the same time, the book explains how to apply the theory to various application problems in biology, physics and engineering. The authors are experts in the field and collaborated to create this book which is a useful research monograph for applied mathematicians, engineers and geophysicists. As for students and instructors, this book is a well-rounded and comprehensive text on the topic of homogenization for graduate level courses or special mathematics classes. Features: Covers applications in both geophysics and biology. Includes recent results not found in classical books on the topic Focuses on evolutionary kinds of problems; there is little overlap with books dealing with variational methods and T-convergence Includes new results where the G-limits have different structures from the initial operators

Seismic Waves and Rays in Elastic Media

Seismic Waves and Rays in Elastic Media Book
Author : Michael A. Slawinski
Publisher : Elsevier
Release : 2003
ISBN : 9780080439303
Language : En, Es, Fr & De

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Book Description :

This book seeks to explore seismic phenomena in elastic media and emphasizes the interdependence of mathematical formulation and physical meaning. The purpose of this title - which is intended for senior undergraduate and graduate students as well as scientists interested in quantitative seismology - is to use aspects of continuum mechanics, wave theory and ray theory to describe phenomena resulting from the propagation of waves. The book is divided into three parts: Elastic continua, Waves and rays, and Variational formulation of rays. In Part I, continuum mechanics are used to describe the material through which seismic waves propagate, and to formulate a system of equations to study the behaviour of such material. In Part II, these equations are used to identify the types of body waves propagating in elastic continua as well as to express their velocities and displacements in terms of the properties of these continua. To solve the equations of motion in anisotropic inhomogeneous continua, the high-frequency approximation is used and establishes the concept of a ray. In Part III, it is shown that in elastic continua a ray is tantamount to a trajectory along which a seismic signal propagates in accordance with the variational principle of stationary travel time.

Fractal Models in Exploration Geophysics

Fractal Models in Exploration Geophysics Book
Author : V.P. Dimri,R.P. Srivastava,Nimisha Vedanti
Publisher : Elsevier
Release : 2012-10-22
ISBN : 0080914446
Language : En, Es, Fr & De

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Book Description :

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

Understanding Seismic Anisotropy in Exploration and Exploitation

Understanding Seismic Anisotropy in Exploration and Exploitation Book
Author : Leon Thomsen
Publisher : SEG Books
Release : 2002
ISBN : 1560801123
Language : En, Es, Fr & De

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Book Description :

All rock masses are seismically anisotropic, but we generally ignore this in our seismic acquisition, processing, and interpretation. The anisotropy nonetheless does affect our data, in ways that limit the effectiveness with which we can use it, as long as we ignore it. This book, produced for use with the fifth SEG/EAGE Distinguished Instructor Short Course, helps us understand why this inconsistency between reality and practice has been so successful in the past and why it will be less successful in the future as we acquire better seismic data (especially including vector seismic data) and correspondingly higher expectations of it. This book helps us understand how we can modify our practice to more fully realize the potential inherent in our data through algorithms which recognize the fact of seismic anisotropy.

Seismology of Azimuthally Anisotropic Media and Seismic Fracture Characterization

Seismology of Azimuthally Anisotropic Media and Seismic Fracture Characterization Book
Author : I. D. T︠S︡vankin
Publisher : SEG Books
Release : 2011
ISBN : 1560802286
Language : En, Es, Fr & De

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Book Description :

Because most sedimentary rocks encountered in oil and gas exploration are effectively anisotropic, it is imperative to properly estimate seismic anisotropy and incorporate it into data-processing and imaging algorithms. Seismology of Azimuthally Anisotropic Media and Seismic Fracture Characterization (SEG Geophysical References Series No. 17) presents a systematic analysis of seismic signatures for azimuthally anisotropic media and describes anisotropic inversion/processing methods for wide-azimuth reflection data and VSP (vertical seismic profiling) surveys. The main focus is on kinematic parameter-estimation techniques operating with P-waves as well as with the combination of PP and PS (mode-converted) data. The part devoted to prestack amplitudes includes azimuthal AVO (amplitude variation with offset) analysis and a concise treatment of attenuation coefficients, which are highly sensitive to the presence of anisotropy. Discussion of fracture characterization is based on modern effective media theories and illustrates both the potential and limitations of seismic methods. Field-data examples highlight the improvements achieved by accounting for anisotropy in seismic processing, imaging, and fracture detection.

An Introduction to Metamaterials and Waves in Composites

An Introduction to Metamaterials and Waves in Composites Book
Author : Biswajit Banerjee
Publisher : Taylor & Francis
Release : 2011-06-07
ISBN : 1439841586
Language : En, Es, Fr & De

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Book Description :

Requiring no advanced knowledge of wave propagation, An Introduction to Metamaterials and Waves in Composites focuses on theoretical aspects of metamaterials, periodic composites, and layered composites. The book gives novices a platform from which they can start exploring the subject in more detail. After introducing concepts related to elasticity, acoustics, and electrodynamics in media, the text presents plane wave solutions to the equations that describe elastic, acoustic, and electromagnetic waves. It examines the plane wave expansion of sources as well as scattering from curved interfaces, specifically spheres and cylinders. The author then covers electrodynamic, acoustic, and elastodynamic metamaterials. He also describes examples of transformations, aspects of acoustic cloaking, and applications of pentamode materials to acoustic cloaking. With a focus on periodic composites, the text uses the Bloch-Floquet theorem to find the effective behavior of composites in the quasistatic limit, presents the quasistatic equations of elastodynamic and electromagnetic waves, and investigates Brillouin zones and band gaps in periodic structures. The final chapter discusses wave propagation in smoothly varying layered media, anisotropic density of a periodic layered medium, and quasistatic homogenization of laminates. This book provides a launch pad for research into elastic and acoustic metamaterials. Many of the ideas presented have yet to be realized experimentally—the book encourages readers to explore these ideas and bring them to technological maturity.

Waves and Rays in Elastic Continua

Waves and Rays in Elastic Continua Book
Author : Michael A. Slawinski
Publisher : World Scientific
Release : 2010
ISBN : 9814289000
Language : En, Es, Fr & De

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Book Description :

This is the second edition of the textbook that was first published by Elsevier Science. Professor Slawinski has the copyright to the textbook and the second edition is significantly extended. The present book emphasizes the interdependence of mathematical formulation and physical meaning in the description of seismic phenomena. Herein, we use aspects of continuum mechanics, wave theory and ray theory to explain phenomena resulting from the propagation of seismic waves. The book is divided into three main sections: elastic continua, waves and rays and variational formulation of rays. There is also a fourth part, which consists of appendices. In Part 1, we use continuum mechanics to describe the material through which seismic waves propagate, and to formulate a system of equations to study the behaviour of such a material. In Part 2, we use these equations to identify the types of body waves propagating in elastic continua as well as to express their velocities and displacements in terms of the properties of these continua. To solve the equations of motion in anisotropic inhomogeneous continua, we use the high-frequency approximation and, hence, establish the concept of a ray. In Part 3, we show that, in elastic continua, a ray is tantamount to a trajectory along which a seismic signal propagates in accordance with the variational principle of stationary traveltime. Consequently, many seismic problems in elastic continua can be conveniently formulated and solved using the calculus of variations. In Part 4, we describe two mathematical concepts that are used in the book; namely, homogeneity of a function and Legendre's transformation. This section also contains a list of symbols.

Poromechanics IV

Poromechanics IV Book
Author : Hoe I. Ling,Andrew Smyth,Raimondo Betti
Publisher : DEStech Publications, Inc
Release : 2009-01-13
ISBN : 1605950068
Language : En, Es, Fr & De

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Book Description :

Based on the Biot conference, named after Maurice Biot and held at Columbia University, this book contains over 170 original papers on different phases of poromechanics in many materials from soils and minerals to human bone. It covers testing and modeling.

Seismic Exploration of Hydrocarbons in Heterogeneous Reservoirs

Seismic Exploration of Hydrocarbons in Heterogeneous Reservoirs Book
Author : Jing Ba,José M. Carcione,Qizhen Du,Haibo Zhao,Tobias Muller
Publisher : Elsevier
Release : 2014-05-02
ISBN : 0124202055
Language : En, Es, Fr & De

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Book Description :

Seismic Exploration of Hydrocarbons in Heterogeneous Reservoirs: New Theories, Methods and Applications is based on the field research conducted over the past decade by an authoring team of five of the world’s leading geoscientists. In recent years, the exploration targets of world's oil companies have become more complex. The direct detection of hydrocarbons based on seismic wave data in heterogeneous oil/gas reservoirs has become a hot spot in the research of applied and exploration geophysics. The relevant theories, approaches and applications, which the authors have worked on for years and have established mature technical processes for industrial application, are of significant meaning to the further study and practice of engineers, researchers and students in related area. Authored by a team of geophysicists in industry and academia with a range of field, instruction, and research experience in hydrocarbon exploration Nearly 200 figures, photographs, and illustrations aid in the understanding of the fundamental concepts and techniques Presents the latest research in wave propagation theory, unconventional resources, experimental study, multi-component seismic processing and imaging, rock physics modeling and quantitative seismic interpretation Sophisticated approach to research systematically forms an industrial work flow for geoscience and engineering practice

Modeling of Resistivity and Acoustic Borehole Logging Measurements Using Finite Element Methods

Modeling of Resistivity and Acoustic Borehole Logging Measurements Using Finite Element Methods Book
Author : David Pardo,Pawel J. Matuszyk,Vladimir Puzyrev,Carlos Torres-Verdin,Myung Jin Nam,Victor M. Calo
Publisher : Elsevier
Release : 2021-05-22
ISBN : 0128214651
Language : En, Es, Fr & De

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Book Description :

Modeling of Resistivity and Acoustic Borehole Logging Measurements Using Finite Element Methods provides a comprehensive review of different resistivity and sonic logging instruments used within the oil industry, along with precise and solid mathematical descriptions of the physical equations and corresponding FE formulations that govern these measurements. Additionally, the book emphasizes the main modeling considerations that one needs to incorporate into the simulations in order to obtain reliable and accurate results. Essentially, the formulations and methods described here can also be applied to simulate on-surface geophysical measurements such as seismic or marine controlled-source electromagnetic (CSEM) measurements. Simulation results obtained using FE methods are superior. FE methods employ a mathematical terminology based on FE spaces that facilitate the design of sophisticated formulations and implementations according to the specifics of each problem. This mathematical FE framework provides a highly accurate, robust, and flexible unified environment for the solution of multi-physics problems. Thus, readers will benefit from this resource by learning how to make a variety of logging simulations using a unified FE framework. Provides a complete and unified finite element approach to perform borehole sonic and electromagnetic simulations Includes the latest research in mathematical and implementation content on Finite Element simulations of borehole logging measurements Features a variety of unique simulations and numerical examples that allow the reader to easily learn the main features and limitations that appear when simulating borehole resistivity measurements

Anisotropy and Microseismics Theory and Practice

Anisotropy and Microseismics  Theory and Practice Book
Author : Vladimir Grechka
Publisher : SEG Books
Release : 2020-08-01
ISBN : 1560803746
Language : En, Es, Fr & De

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Book Description :

Download Anisotropy and Microseismics Theory and Practice book written by Vladimir Grechka, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2014

Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2014 Book
Author : Robert M. Kirby,Martin Berzins,Jan S. Hesthaven
Publisher : Springer
Release : 2015-11-26
ISBN : 3319198009
Language : En, Es, Fr & De

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Book Description :

The book contains a selection of high quality papers, chosen among the best presentations during the International Conference on Spectral and High-Order Methods (2014), and provides an overview of the depth and breadth of the activities within this important research area. The carefully reviewed selection of papers will provide the reader with a snapshot of the state-of-the-art and help initiate new research directions through the extensive biography.

Computational Seismology

Computational Seismology Book
Author : Heiner Igel
Publisher : Oxford University Press
Release : 2016-11-10
ISBN : 0191026859
Language : En, Es, Fr & De

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Book Description :

This book is an introductory text to a range of numerical methods used today to simulate time-dependent processes in Earth science, physics, engineering, and many other fields. The physical problem of elastic wave propagation in 1D serves as a model system with which the various numerical methods are introduced and compared. The theoretical background is presented with substantial graphical material supporting the concepts. The results can be reproduced with the supplementary electronic material provided as python codes embedded in Jupyter notebooks. The book starts with a primer on the physics of elastic wave propagation, and a chapter on the fundamentals of parallel programming, computational grids, mesh generation, and hardware models. The core of the book is the presentation of numerical solutions of the wave equation with six different methods: 1) the finite-difference method; 2) the pseudospectral method (Fourier and Chebyshev); 3) the linear finite-element method; 4) the spectral-element method; 5) the finite-volume method; and 6) the discontinuous Galerkin method. Each chapter contains comprehension questions, theoretical, and programming exercises. The book closes with a discussion of domains of application and criteria for the choice of a specific numerical method, and the presentation of current challenges.