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Mathematics Of Multidimensional Seismic Imaging Migration And Inversion


Mathematics Of Multidimensional Seismic Imaging Migration And Inversion
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Mathematics Of Multidimensional Seismic Imaging Migration And Inversion


Mathematics Of Multidimensional Seismic Imaging Migration And Inversion
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Author : N. Bleistein
language : en
Publisher: Springer Science & Business Media
Release Date : 2000-12-15

Mathematics Of Multidimensional Seismic Imaging Migration And Inversion written by N. Bleistein 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 2000-12-15 with Mathematics categories.


For more than 80 years, the oil and gas industry has used seismic methods to construct images and determine physical characteristics of rocks that can yield information about oil and gas bearing structures in the earth. This book presents the different seismic data processing methods, also known as seismic "migration," in a unified mathematical way. The book serves as a bridge between the applied math and geophysics communities by presenting geophysicists with a practical introduction to advanced engineering mathematics, while presenting mathematicians with a window into the world of the mathematically sophisticated geophysicist.



Mathematics Of Multidimensional Seismic Imaging Migration And Inversion


Mathematics Of Multidimensional Seismic Imaging Migration And Inversion
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Author : N. Bleistein
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-22

Mathematics Of Multidimensional Seismic Imaging Migration And Inversion written by N. Bleistein 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 2013-11-22 with Mathematics categories.


In the last 40 years geophysicists have found that it is possible to construct images and even determine important physical characteristics of rocks that can yield information about oil and gas bearing structures in the earth. To make these images and extract this information requires the application of an advanced understanding of the mathematical physics of wave propagation. The oil and gas industry labels a major collection of the necessary seismic data processing methods by the name seismic "migration". This text ist the first to treat many kinds of migration in a unified mahtematical way. The audience is mathematically oriented geophysicists or applied mathematicians working in the field of "inverse scattering imaging". The text can serve as a bridge between the applied math and geophysics community by presenting geophysicists with a practical introduction to advanced engineering mathematics, while presenting mathematicians with a window into the world of the mathematically sophistiated geophysicist.



Seismic Inversion


Seismic Inversion
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Author : Gerard T. Schuster
language : en
Publisher: SEG Books
Release Date : 2017-07-01

Seismic Inversion written by Gerard T. Schuster and has been published by SEG Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-07-01 with Science categories.


This book describes the theory and practice of inverting seismic data for the subsurface rock properties of the earth. The primary application is for inverting reflection and/or transmission data from engineering or exploration surveys, but the methods described also can be used for earthquake studies. Seismic Inversion will be of benefit to scientists and advanced students in engineering, earth sciences, and physics. It is desirable that the reader has some familiarity with certain aspects of numerical computation, such as finite-difference solutions to partial differential equations, numerical linear algebra, and the basic physics of wave propagation. For those not familiar with the terminology and methods of seismic exploration, a brief introduction is provided. To truly understand the nuances of seismic inversion, we have to actively practice what we preach (or teach). Therefore, computational labs are provided for most of the chapters, and some field data labs are given as well.



Full 3d Seismic Waveform Inversion


Full 3d Seismic Waveform Inversion
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Author : Po Chen
language : en
Publisher: Springer
Release Date : 2015-09-10

Full 3d Seismic Waveform Inversion written by Po Chen and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-09-10 with Science categories.


This book introduces a methodology for solving the seismic inverse problem using purely numerical solutions built on 3D wave equations and which is free of the approximations or simplifications that are common in classical seismic inversion methodologies and therefore applicable to arbitrary 3D geological media and seismic source models. Source codes provided allow readers to experiment with the calculations demonstrated and also explore their own applications.



Introduction To Inverse Problems In Imaging


Introduction To Inverse Problems In Imaging
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Author : M. Bertero
language : en
Publisher: CRC Press
Release Date : 2021-12-20

Introduction To Inverse Problems In Imaging written by M. Bertero and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-12-20 with Science categories.


Fully updated throughout and with several new chapters, this second edition of Introduction to Inverse Problems in Imaging guides advanced undergraduate and graduate students in physics, computer science, mathematics and engineering through the principles of linear inverse problems, in addition to methods of their approximate solution and their practical applications in imaging. This second edition contains new chapters on edge-preserving and sparsity-enforcing regularization in addition to maximum likelihood methods and Bayesian regularization for Poisson data. The level of mathematical treatment is kept as low as possible to make the book suitable for a wide range of students from different backgrounds, with readers needing just a rudimentary understanding of analysis, geometry, linear algebra, probability theory, and Fourier analysis. The authors concentrate on presenting easily implementable and fast solution algorithms, and this second edition is accompanied by numerical examples throughout. It will provide readers with the appropriate background needed for a clear understanding of the essence of inverse problems (ill-posedness and its cure) and, consequently, for an intelligent assessment of the rapidly growing literature on these problems. Key features: Provides an accessible introduction to the topic while keeping mathematics to a minimum Interdisciplinary topic with growing relevance and wide-ranging applications Accompanied by numerical examples throughout



Microwave Imaging Methods And Applications


Microwave Imaging Methods And Applications
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Author : Matteo Pastorino
language : en
Publisher: Artech House
Release Date : 2018-06-30

Microwave Imaging Methods And Applications written by Matteo Pastorino and has been published by Artech House this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-06-30 with Technology & Engineering categories.


Microwave Imaging Methods and Applications provides practitioners and researchers with a complete overview of the latest and most important noninvasive and nondestructive techniques for inspecting structures and bodies by using microwaves. Placing emphasis on applications, the book considers many areas, from medical imaging and security… to industrial engineering and subsurface prospection. For each application, readers are presented with the objectives of the inspection and related challenges. Moreover, this groundbreaking resource details computational methods that can be used to solve inverse problems related to specific applications. Including clear examples or the most significant practical results, this forward-looking reference focuses on systems that have been recently developed. Professionals gain the knowledge needed to compare imaging methods used in different applications and develop new uses of imaging apparatuses and systems.



Inverse Problems And Imaging


Inverse Problems And Imaging
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Author : Luis L. Bonilla
language : en
Publisher: Springer
Release Date : 2009-06-19

Inverse Problems And Imaging written by Luis L. Bonilla and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-06-19 with Mathematics categories.


Nowadays we are facing numerous and important imaging problems: nondestructive testing of materials, monitoring of industrial processes, enhancement of oil production by efficient reservoir characterization, emerging developments in noninvasive imaging techniques for medical purposes - computerized tomography (CT), magnetic resonance imaging (MRI), positron emission tomography (PET), X-ray and ultrasound tomography, etc. In the CIME Summer School on Imaging (Martina Franca, Italy 2002), leading experts in mathematical techniques and applications presented broad and useful introductions for non-experts and practitioners alike to many aspects of this exciting field. The volume contains part of the above lectures completed and updated by additional contributions on other related topics.



Geophysical Inverse Theory And Regularization Problems


Geophysical Inverse Theory And Regularization Problems
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Author : Michael S. Zhdanov
language : en
Publisher: Elsevier
Release Date : 2002-04-24

Geophysical Inverse Theory And Regularization Problems written by Michael S. Zhdanov and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-04-24 with Science categories.


This book presents state-of-the-art geophysical inverse theory developed in modern mathematical terminology. The book brings together fundamental results developed by the Russian mathematical school in regularization theory and combines them with the related research in geophysical inversion carried out in the West. It presents a detailed exposition of the methods of regularized solution of inverse problems based on the ideas of Tikhonov regularization, and shows the different forms of their applications in both linear and nonlinear methods of geophysical inversion. This text is the first to treat many kinds of inversion and imaging techniques in a unified mathematical manner.The book is divided in five parts covering the foundations of the inversion theory and its applications to the solution of different geophysical inverse problems, including potential field, electromagnetic, and seismic methods. The first part is an introduction to inversion theory. The second part contains a description of the basic methods of solution of the linear and nonlinear inverse problems using regularization. The following parts treat the application of regularization methods in gravity and magnetic, electromagnetic, and seismic inverse problems. The key connecting idea of these applied parts of the book is the analogy between the solutions of the forward and inverse problems in different geophysical methods. The book also includes chapters related to the modern technology of geophysical imaging, based on seismic and electromagnetic migration.This volume is unique in its focus on providing a link between the methods used in gravity, electromagnetic, and seismic imaging and inversion, and represents an exhaustive treatise on inversion theory.



Seismic Methods And Applications


Seismic Methods And Applications
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Author : Andreas Stark
language : en
Publisher: Universal-Publishers
Release Date : 2010-06

Seismic Methods And Applications written by Andreas Stark and has been published by Universal-Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-06 with Science categories.


This book has been written for those who need a solid understanding of the seismic exploration method without difficult mathematics. It is presented in a format that allows one to naturally progress from the underlying physical principles to the actual seismic method. The mathematics needed for the subject is kept as simple as possible; students only need high school physics and mathematics to thoroughly grasp the principles covered. Dr. Stark has developed this text and honed its content with feedback from hundreds of students over nearly two decades of teaching seismic exploration geophysics. This textbook will teach students the principles for the detection of geologic structures, earthquake zones and hazards, resource exploration, and geotechnical engineering.This title is Winner of 2009 Text and Academic Authors Association "Textbook Excellence Award"



Carleman Estimates For Coefficient Inverse Problems And Numerical Applications


Carleman Estimates For Coefficient Inverse Problems And Numerical Applications
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Author : Michael V. Klibanov
language : en
Publisher: Walter de Gruyter
Release Date : 2012-04-17

Carleman Estimates For Coefficient Inverse Problems And Numerical Applications written by Michael V. Klibanov and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-04-17 with Mathematics categories.


In this monograph, the main subject of the author's considerations is coefficient inverse problems. Arising in many areas of natural sciences and technology, such problems consist of determining the variable coefficients of a certain differential operator defined in a domain from boundary measurements of a solution or its functionals. Although the authors pay strong attention to the rigorous justification of known results, they place the primary emphasis on new concepts and developments.