Mathematics of Multidimensional Seismic Imaging Migration and Inversion

  • Filename: mathematics-of-multidimensional-seismic-imaging-migration-and-inversion.
  • ISBN: 9781461300014
  • Release Date: 2013-11-22
  • Number of pages: 510
  • Author: N. Bleistein
  • Publisher: Springer Science & Business Media



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.

Seismic Imaging and Inversion Volume 1

  • Filename: seismic-imaging-and-inversion-volume-1.
  • ISBN: 9781139505284
  • Release Date: 2012-02-09
  • Number of pages:
  • Author: Robert H. Stolt
  • Publisher: Cambridge University Press



Extracting information from seismic data requires knowledge of seismic wave propagation and reflection. The commonly used method involves solving linearly for a reflectivity at every point within the Earth, but this book follows an alternative approach which invokes inverse scattering theory. By developing the theory of seismic imaging from basic principles, the authors relate the different models of seismic propagation, reflection and imaging - thus providing links to reflectivity-based imaging on the one hand and to nonlinear seismic inversion on the other. The comprehensive and physically complete linear imaging foundation developed presents new results at the leading edge of seismic processing for target location and identification. This book serves as a fundamental guide to seismic imaging principles and algorithms and their foundation in inverse scattering theory and is a valuable resource for working geoscientists, scientific programmers and theoretical physicists.

Scattering Two Volume Set

  • Filename: scattering-two-volume-set.
  • ISBN: 9780126137606
  • Release Date: 2001-11-07
  • Number of pages: 1831
  • Author: E R Pike
  • Publisher: Academic Press



Scattering is the collision of two objects that results in a change of trajectory and energy. For example, in particle physics, such as electrons, photons, or neutrons are "scattered off" of a target specimen, resulting in a different energy and direction. In the field of electromagnetism, scattering is the random diffusion of electromagnetic radiation from air masses is an aid in the long-range sending of radio signals over geographic obstacles such as mountains. This type of scattering, applied to the field of acoustics, is the spreading of sound in many directions due to irregularities in the transmission medium. Volume I of Scattering will be devoted to basic theoretical ideas, approximation methods, numerical techniques and mathematical modeling. Volume II will be concerned with basic experimental techniques, technological practices, and comparisons with relevant theoretical work including seismology, medical applications, meteorological phenomena and astronomy. This reference will be used by researchers and graduate students in physics, applied physics, biophysics, chemical physics, medical physics, acoustics, geosciences, optics, mathematics, and engineering. This is the first encyclopedic-range work on the topic of scattering theory in quantum mechanics, elastodynamics, acoustics, and electromagnetics. It serves as a comprehensive interdisciplinary presentation of scattering and inverse scattering theory and applications in a wide range of scientific fields, with an emphasis, and details, up-to-date developments. Scattering also places an emphasis on the problems that are still in active current research. The first interdisciplinary reference source on scattering to gather all world expertise in this technique Covers the major aspects of scattering in a common language, helping to widening the knowledge of researchers across disciplines The list of editors, associate editors and contributors reads like an international Who's Who in the interdisciplinary field of scattering

Seismic Amplitude Inversion in Reflection Tomography

  • Filename: seismic-amplitude-inversion-in-reflection-tomography.
  • ISBN: 9780080540870
  • Release Date: 2003-02-25
  • Number of pages: 270
  • Author: Yanghua Wang
  • Publisher: Elsevier



This is the first book of its kind on seismic amplitude inversion in the context of reflection tomography. The aim of the monograph is to advocate the use of ray-amplitude data, separately or jointly with traveltime data, in reflection seismic tomography. The emphasis of seismic exploration is on imaging techniques, so that seismic section can be interpreted directly as a geological section. In contrast it is perhaps ironic that, in decades of industrial seismology, one major aspect of waveform data that potentially is easier to measure and analyse has generally been ignored. That is, the information content of seismic amplitudes. Perhaps the potential complexity has deterred most researchers from a more thorough investigation of the practical use of seismic amplitude data. The author of this volume presents an authoritative and detailed study of amplitude data, as used in conjunction with traveltime data, to provide better constraints on the variation of seismic wave speed in the subsurface. One of the fundamental problems in conventional reflection seismic tomography using only traveltime data is the possible ambiguity between the velocity variation and the reflector depth. The inclusion of amplitude data in the inversion may help to resolve this problem because the amplitudes and traveltimes are sensitive to different features of the subsurface model, and thereby provide more accurate information about the subsurface structure and the velocity distribution. An essential goal of this monograph is to make the amplitude inversion method work with real reflection seismic data.

Geophysical Inverse Theory and Regularization Problems

  • Filename: geophysical-inverse-theory-and-regularization-problems.
  • ISBN: 0080532500
  • Release Date: 2002-04-24
  • Number of pages: 633
  • Author: Michael S. Zhdanov
  • Publisher: Elsevier



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.

Full 3D Seismic Waveform Inversion

  • Filename: full-3d-seismic-waveform-inversion.
  • ISBN: 3319358774
  • Release Date: 2016-10-29
  • Number of pages: 513
  • Author: Po Chen
  • Publisher: Springer



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.

3 D Seismic Interpretation

  • Filename: 3-d-seismic-interpretation.
  • ISBN: 9781107268708
  • Release Date: 2007-10-18
  • Number of pages:
  • Author: M. Bacon
  • Publisher: Cambridge University Press



3-D seismic data have become the key tool used in the petroleum industry to understand the subsurface. In addition to providing excellent structural images, the dense sampling of a 3-D survey makes it possible to map reservoir quality and the distribution of oil and gas. Topics covered in this book include basic structural interpretation and map-making; the use of 3-D visualisation methods; interpretation of seismic amplitudes, including their relation to rock and fluid properties; and the generation and use of AVO and acoustic impedance datasets. This new paperback edition includes an extra appendix presenting new material on novel acquisition design, pore pressure prediction from seismic velocity, elastic impedance inversion, and time lapse seismics. Written by professional geophysicists with many years' experience in the oil industry, the book is indispensable for geoscientists using 3-D seismic data, including graduate students and new entrants into the petroleum industry.

3D Seismic Imaging

  • Filename: 3d-seismic-imaging.
  • ISBN: 9781560801375
  • Release Date: 2006-01-01
  • Number of pages: 224
  • Author: Biondo Biondi
  • Publisher: SEG Books



Accompanying CD-ROM includes PDF slides for teaching the material in the book and the C3-narrow-azimuth classic data set.

Global Optimization Methods in Geophysical Inversion

  • Filename: global-optimization-methods-in-geophysical-inversion.
  • ISBN: 9780080532561
  • Release Date: 1995-07-24
  • Number of pages: 280
  • Author: M.K. Sen
  • Publisher: Elsevier



One of the major goals of geophysical inversion is to find earth models that explain the geophysical observations. Thus the branch of mathematics known as optimization has found significant use in many geophysical applications. Both local and global optimization methods are used in the estimation of material properties from geophysical data. As the title of the book suggests, the aim of this book is to describe the application of several recently developed global optimization methods to geophysical problems. • The well known linear and gradient based optimization methods have been summarized in order to explain their advantages and limitations • The theory of simulated annealing and genetic algorithms have been described in sufficient detail for the readers to understand the underlying fundamental principles upon which these algorithms are based • The algorithms have been described using simple flow charts (the algorithms are general and can be applied to a wide variety of problems Students, researchers and practitioners will be able to design practical algorithms to solve their specific geophysical inversion problems. The book is virtually self-contained so that there are no prerequisites, except for a fundamental mathematical background that includes a basic understanding of linear algebra and calculus.

Advanced High Resolution Seismic Imaging Material Properties Estimation and Full Wavefield Inversion for the Shallow Subsurface

  • Filename: advanced-high-resolution-seismic-imaging-material-properties-estimation-and-full-wavefield-inversion-for-the-shallow-subsurface.
  • ISBN: OCLC:316475213
  • Release Date: 2003
  • Number of pages: 5
  • Author: A. Levander
  • Publisher:



Develop and test advanced near vertical to wide-angle seismic methods for structural imaging and material properties estimation of the shallow subsurface for environmental characterization efforts.

Practical Seismic Data Analysis

  • Filename: practical-seismic-data-analysis.
  • ISBN: 9780521199100
  • Release Date: 2014-01-23
  • Number of pages: 496
  • Author: Hua-Wei Zhou
  • Publisher: Cambridge University Press



Modern introduction to seismic data processing demonstrating exploration and global geophysics applications through real data and tutorial examples that can be demonstrated with the instructor's software of choice. The underlying physics and mathematics of analysis methods is presented, showing students the limitations and potential for creating models of the sub-surface.

Inside Out

  • Filename: inside-out.
  • ISBN: 0521824699
  • Release Date: 2003-11-10
  • Number of pages: 400
  • Author: Gunther Uhlmann
  • Publisher: Cambridge University Press



Inverse problems arise in practical situations such as medical imaging, geophysical exploration, and non-destructive evaluation where measurements made on the exterior of a body are used to determine properties of the inaccessible interior. There have been substantial developments in the mathematical theory of inverse problems, and applications have expanded greatly. In this volume, leading experts in the theoretical and applied aspects of inverse problems offer extended surveys on several important topics in modern inverse problems, such as microlocal analysis, reflection seismology, tomography, inverse scattering, and X-ray transforms. Each article covers a particular topic or topics with an emphasis on accessibility and integration with the whole volume. Thus the collection can be at the same time stimulating to researchers and accessible to graduate students.

Seismic True amplitude Imaging

  • Filename: seismic-true-amplitude-imaging.
  • ISBN: 9781560801436
  • Release Date: 2007
  • Number of pages: 354
  • Author: Jörg Schleicher
  • Publisher: SEG Books



A rich literature exists on computational methods based on wave equations for seismic imaging and earth-parameter estimation. Somewhat lost in the advance to progressively more sophisticated computational techniques are the intuitive ideas with roots that reach back to Hagedoorn and are based on ray theory, the geometry of data, and the geometry of wave propagation. In Seismic True-Amplitude Imaging (SEG Geophysical Developments Series No. 12), the authors describe their research of many years, demonstrating that those simple ideas also lead to a broad description of the structure of the earth's interior and the changes in medium parameters across reflectors. Demonstrations in the open literature of the efficacy of their methods abound. Now those ideas have been collected and reorganized. The book gives a pictorial presentation of the basic principles of Kirchhoff-type imaging and proceeds to a comprehensive treatment of its kinematic and dynamic aspects. The text is a valuable addition to the library of anyone interested in the theory and practices of seismic data processing for imaging and parameter estimation with all its attendant processes.

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