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This textbook is intended to introduce advanced undergraduate and early-career graduate students to the field of numerical analysis. This field pertains to the design, analysis, and implementation of algorithms for the approximate solution of mathematical problems that arise in applications spanning science and engineering, and are not practical to solve using analytical techniques such as those taught in courses in calculus, linear algebra or differential equations.Topics covered include computer arithmetic, error analysis, solution of systems of linear equations, least squares problems, eigenvalue problems, nonlinear equations, optimization, polynomial interpolation and approximation, numerical differentiation and integration, ordinary differential equations, and partial differential equations. For each problem considered, the presentation includes the derivation of solution techniques, analysis of their efficiency, accuracy and robustness, and details of their implementation, illustrated through the Python programming language.This text is suitable for a year-long sequence in numerical analysis, and can also be used for a one-semester course in numerical linear algebra.
Conversations about the future are often overly simplified and based on popularized visions of what could be. In The Extrapolation Factory Operator's Manual, Montgomery and Woebken illuminate their work to democratize futures research, elucidating strategies culled from think tanks and futurists as well as models and techniques they've developed for organizing collaborative futures explorations. Their approaches introduce a range of visioning methods that, when shared with non-futurists in community and organizational forums, could profoundly influence our ability to envision possible futures. The text is published as a bilingual manual in Mandarin Chinese and English.
Extrapolation of seismic waves from the earth's surface to any level in the subsurface plays an essential role in many advanced seismic processing schemes, such as migration, inverse scattering and redatuming. At present these schemes are based on the acoustic wave equation. This means not only that S-waves (shear waves) are ignored, but also that P-waves (compressional waves) are not handled correctly. In the seismic industry there is an important trend towards multi-component data acquisition. For processing of multi-component seismic data, ignoring S-waves can no longer be justified. Wave field extrapolation should therefore be based on the full elastic wave equation.In this book the authors review acoustic one-way extrapolation of P-waves and introduce elastic one-way extrapolation of P- and S-waves. They demonstrate that elastic extrapolation of multi-component data, decomposed into P- and S-waves, is essentially equivalent to acoustic extrapolation of P-waves. This has the important practical consequence that elastic processing of multi-component seismic data need not be significantly more complicated than acoustic processing of single-component seismic data. This is demonstrated in the final chapters, which deal with the application of wave field extrapolation in the redatuming process of single- and multi-component seismic data. Geophysicists, and anyone who is interested in a review of acoustic and elastic wave theory, will find this book useful. It is also a suitable textbook for graduate students and those following courses in elastic wave field extrapolation as each subject is introduced in a relatively simple manner using the scalar acoustic wave equation. In the chapters on elastic wave field extrapolation the formulation, whenever possible, is analogous to that used in the chapters on acoustic wave field extrapolation. The text is illustrated throughout and a bibliography and keyword index are provided.
Technical guide to the theory and practice of seismic data processing with MATLAB algorithms for advanced students, researchers and professionals.
This book focuses on reservoir surveillance and management, reservoir evaluation and dynamic description, reservoir production stimulation and EOR, ultra-tight reservoir, unconventional oil and gas resources technology, oil and gas well production testing, and geomechanics. This book is a compilation of selected papers from the 11th International Field Exploration and Development Conference (IFEDC 2021). The conference not only provides a platform to exchanges experience, but also promotes the development of scientific research in oil & gas exploration and production. The main audience for the work includes reservoir engineer, geological engineer, enterprise managers, senior engineers as well as professional students.
Data accumulation, analysis, and interpretation technology are critical in hydrocarbon exploration and extraction to maximize petroleum recovery and development. Dynamic Well Testing in Petroleum Exploration and Development presents modern petroleum exploration and well testing interpretation methods, emphasizing their application and development under special geological and development conditions in oil and gas fields. More than 100 case studies and 250 illustrations—many in full color—aid in the retention of key concepts. Extensive analysis of pressure data acquired from well testing through advanced interpretation software can be tailored to specific reservoir environments. This timely, state-of-the-art reference will be of particular interest to petroleum geoscientists and engineers working for oil and gas companies worldwide. - Includes graphs that can be used as templates to accurately plot hydrocarbon reservoir data accumulation, analysis, and interpretation - Field-practical case studies break information down into real-world examples which can be put into practice—not found in other books on well testing - Illustrations—many in full color—help you retain key concepts
Provides an authoritative overview of the role which computers now play in the field of seismology and discusses ways in which they can be improved for solving the increasingly complex problems now facing the scientist and engineer. Topics covered include typical seismic models, computational requirements associated with several standard numerical modelling techniques, three-dimensional processing, migration and forward modelling, advances in both hardware and software, iterative modelling, hypercube supercomputing, reservoir simulation using supercomputers, algorithms used in modelling and inversion, wave equation computations and simulation of seismic waves.
The 1985/86 apparition of Halley's Comet turned out to be the most important apparition of a comet ever. It provided a worldwide science community with a wealth of exciting new discoveries, the most remarkable of which was undoubtedly the first image of a cometary nucleus. Halley's Comet is the brightest periodic comet, and the most famous of the 750 known comets. With its 76-year period, its recent appearance was truly a "once-in-a-lifetime" observational opportunity. The 1985/86 apparition was the thirtieth consecutive recorded apparition. Five apparitions ago, the English astronomer Edmond Halley discovered the periodicity of "his" comet and correctly predicted its return in 1758, a triumph for science best appreciated in the context of contemporary views, or rather fears, about comets at that time. The increasingly rapid progress in technological development is very much apparent when one compares the dominant tools for cometary research during Halley's next three apparitions: in 1835 studies were made based on drawings ofthe comet; in 1910 photographic plates were used; while in March 1986 an armada of six spacecraft from four space agencies approached the comet and carried out in situ measurements, 1 AU from the Earth. In 1910, nobody could have dreamed that this was possible, and today it is equally difficult to anticipate what scientists will be able to achieve in 2061.