Download or read book Seismic Data Interpolation with Shaping Inversion to Zero Offset and Least squares Flattening written by Ben Watson Gremillion and published by . This book was released on 2019 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt: Insufficient data often require regularized solutions to inverse problems in geophysics. In other words, we wish to find a model that best matches the data and obeys expected model behavior. Inadequate midpoint sampling is one insufficient data example where large trace intervals can lead to spatial aliasing in seismic data. Inversion to zero offset (IZO) is a solution to this problem that relates zero-offset traces with nonzero-offset traces to find a well sampled model that best matches the inadequately sampled data. IZO can significantly reduce spatial aliasing in stacked seismic data and is typically constrained by the widely known Tikhonov regularization. However, selecting parameters for traditional regularization techniques can be difficult, and the opposing roles of error minimization and model constraint can lead to slow convergence. Shaping regularization is an alternative method that explicitly maps the estimated model to the space of admissible models and, in some cases, can lead to faster convergence. In the first part of this thesis, I present a technique, called shaping IZO, that incorporates inversion to zero offset into the shaping regularization inversion scheme. I show that shaping IZO can reduce spatial aliasing and improve the resolution of stacked seismic data using synthetic and field examples. My results prove that shaping IZO is a viable alternative to traditional IZO. Insufficient data can also create large areas of missing traces in seismic surveys. In extreme cases, only 2D lines might be available where 3D data are desired. Interpolating over such large areas can be beneficial for later seismic data processing and interpretation but doing so is a challenge. Previous methods, such as interpolation with projection onto convex sets algorithms, prediction error filters, and local slopes have struggled with the sparse and irregular inputs of 2D-to-3D interpolation. In the second part of this thesis, I present interpolation by least-squares flattening as a way to estimate a 3D seismic volume from 2D seismic lines. Interpolation by least-squares flattening first finds the shifts that best align corresponding reflectors of the input traces by incorporating dynamic time warping into a least-squares inversion scheme. After applying these shifts to align reflectors in the input traces, the method then interpolates the flattened reflectors and their associated shifts to a regular 3D grid. Finally, the interpolated shifts are used to unflatten the interpolated reflectors, yielding a 3D volume estimate. I apply interpolation by least-squares flattening to decimated versions of the Teapot Dome land dataset to validate the technique and compare it to other forms of interpolation. My results show that interpolation by least-squares flattening is an effective method to interpolate sparse, irregular traces to a 3D volume
Download or read book Seismic Imaging and Inversion for Zero offset Data written by Samuel H. Gray and published by . This book was released on 1985 with total page 64 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Least squares inversion of field seismic data for an elastic 1 D Earth written by Warren Theodore Wood and published by . This book was released on 1993 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Iterative Seismic Data Interpolation Using Plane wave Shaping written by Ryan Louis Swindeman and published by . This book was released on 2015 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geophysical applications often require finding an appropriate solution to an ill-posed inverse problem. An example application is interpolating irregular or sparse data to a regular grid. This data regularization problem must be addressed appropriately before many data processing techniques can begin. In this thesis, I investigate plane-wave shaping in two and three dimensions as a data regularization algorithm, which can be used for the interpolation of seismic data and images. I use plane-wave shaping to interpolate several synthetic and field datasets and test its accuracy in image reconstruction. Because plane-wave shaping adheres to the direction of the local slopes of an image, the image-guided interpolation scheme attempts to preserve information of geologic structures. I apply several alternative interpolation schemes - formulated as an inverse problem with a convolutional operator to constrain the model space - namely: plane-wave destruction, plane-wave construction, and prediction-error filters. Investigating their iterative convergence rates, I find that plane-wave shaping converges to a solution in fewer iterations than the alternative techniques. I find that the only required parameter for this method, the smoothing radius, is best chosen to be approximately the same size as the holes for missing-data problems. The optional parameter for edge padding is best selected as approximately half of the smoothing radius. Applications of this research project include potential applications in well-log interpolation, seismic tomography, and 5-D seismic data interpolation.
Download or read book Seismic Inversion written by Gerard T. Schuster and published by SEG Books. This book was released on 2017-07-01 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Seismic Interferometry written by Gerard Thomas Schuster and published by Cambridge University Press. This book was released on 2009-05-14 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: Describes the theory and practice of seismic interferometry for academic researchers, oil industry professionals and advanced students.
Download or read book Mathematics of Multidimensional Seismic Imaging Migration and Inversion written by N. Bleistein and published by Springer Science & Business Media. This book was released on 2000-12-15 with total page 546 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Time Series Analysis and Inverse Theory for Geophysicists written by David Gubbins and published by Cambridge University Press. This book was released on 2004-03-18 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique textbook provides the foundation for understanding and applying techniques commonly used in geophysics to process and interpret modern digital data. The geophysicist's toolkit contains a range of techniques which may be divided into two main groups: processing, which concerns time series analysis and is used to separate the signal of interest from background noise; and inversion, which involves generating some map or physical model from the data. These two groups of techniques are normally taught separately, but are here presented together as parts I and II of the book. Part III describes some real applications and includes case studies in seismology, geomagnetism, and gravity. This textbook gives students and practitioners the theoretical background and practical experience, through case studies, computer examples and exercises, to understand and apply new processing methods to modern geophysical datasets. Solutions to the exercises are available on a website at http://publishing.cambridge.org/resources/0521819652
Download or read book Seismic Amplitude written by Rob Simm and published by Cambridge University Press. This book was released on 2014-04-17 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces practical seismic analysis techniques and evaluation of interpretation confidence, for graduate students and industry professionals - independent of commercial software products.
Download or read book Fundamentals of Geophysical Data Processing written by Jon F. Claerbout and published by McGraw-Hill Companies. This book was released on 1976 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Machine Learning and Artificial Intelligence in Geosciences written by and published by Academic Press. This book was released on 2020-09-22 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances in Geophysics, Volume 61 - Machine Learning and Artificial Intelligence in Geosciences, the latest release in this highly-respected publication in the field of geophysics, contains new chapters on a variety of topics, including a historical review on the development of machine learning, machine learning to investigate fault rupture on various scales, a review on machine learning techniques to describe fractured media, signal augmentation to improve the generalization of deep neural networks, deep generator priors for Bayesian seismic inversion, as well as a review on homogenization for seismology, and more. - Provides high-level reviews of the latest innovations in geophysics - Written by recognized experts in the field - Presents an essential publication for researchers in all fields of geophysics
Download or read book Numerical Methods of Exploration Seismology written by Gary F. Margrave and published by Cambridge University Press. This book was released on 2019-01-10 with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt: Technical guide to the theory and practice of seismic data processing with MATLAB algorithms for advanced students, researchers and professionals.
Download or read book Global Optimization Methods in Geophysical Inversion written by Mrinal K. Sen and published by Cambridge University Press. This book was released on 2013-02-21 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: An up-to-date overview of global optimization methods used to formulate and interpret geophysical observations, for researchers, graduate students and professionals.
Download or read book Advanced Geodynamics written by David T. Sandwell and published by Cambridge University Press. This book was released on 2022-01-27 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: David Sandwell developed this advanced textbook over a period of nearly 30 years for his graduate course at Scripps Institution of Oceanography. The book augments the classic textbook Geodynamics by Don Turcotte and Jerry Schubert, presenting more complex and foundational mathematical methods and approaches to geodynamics. The main new tool developed in the book is the multi-dimensional Fourier transform for solving linear partial differential equations. The book comprises nineteen chapters, including: the latest global data sets; quantitative plate tectonics; plate driving forces associated with lithospheric heat transfer and subduction; the physics of the earthquake cycle; postglacial rebound; and six chapters on gravity field development and interpretation. Each chapter has a set of student exercises that make use of the higher-level mathematical and numerical methods developed in the book. Solutions to the exercises are available online for course instructors, on request.
Download or read book Geophysics and Geosequestration written by Thomas L. Davis and published by Cambridge University Press. This book was released on 2019-05-09 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: An overview of the geophysical techniques and analysis methods for monitoring subsurface carbon dioxide storage for researchers and industry practitioners.
Download or read book Seismic Diffraction written by Tijmen Jan Moser and published by SEG Books. This book was released on 2016-06-30 with total page 823 pages. Available in PDF, EPUB and Kindle. Book excerpt: The use of diffraction imaging to complement the seismic reflection method is rapidly gaining momentum in the oil and gas industry. As the industry moves toward exploiting smaller and more complex conventional reservoirs and extensive new unconventional resource plays, the application of the seismic diffraction method to image sub-wavelength features such as small-scale faults, fractures and stratigraphic pinchouts is expected to increase dramatically over the next few years. “Seismic Diffraction” covers seismic diffraction theory, modeling, observation, and imaging. Papers and discussion include an overview of seismic diffractions, including classic papers which introduced the potential of diffraction phenomena in seismic processing; papers on the forward modeling of seismic diffractions, with an emphasis on the theoretical principles; papers which describe techniques for diffraction mathematical modeling as well as laboratory experiments for the physical modeling of diffractions; key papers dealing with the observation of seismic diffractions, in near-surface-, reservoir-, as well as crustal studies; and key papers on diffraction imaging.
Download or read book Theory of Seismic Imaging written by John A. Scales and published by Springer. This book was released on 1995-05-17 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: Seismic imaging methods are currently used to produce images of the Earth's subsurface properties at diverse length scales, from high-resolution, near-surface environmental studies for oil and gas exploration to long-period images of the entire planet. This book presents the physical and mathematical basis of imaging algorithms in the context of controlled-source reflection seismology. The approach taken is motivated by physical optics and theoretical seismology. The theory is constantly put into practice via a graded sequence of computer exercises using the widely available SU (Seismic Unix) software package.
