Analysis Of The Gravity Field

Author : Fernando Sansò,Daniele Sampietro
Publisher : Springer Nature
Page : 542 pages
File Size : 43,8 Mb
Release : 2022-06-09
Category : Mathematics
ISBN : 9783030743536

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Analysis of the Gravity Field by Fernando Sansò,Daniele Sampietro Pdf

This textbook presents a comprehensive treatment of the theory and implementation of inverse methods in the analysis and interpretation of Earth’s gravity field. By restricting their consideration to a local rather than global level, the authors focus on the use of observations and data that are more sensitive to local mass anomalies. All necessary theoretical aspects are reformulated in terms of a Euclidean framework so that less complex tools from mathematical analysis can be utilized. Divided into three parts, the text begins with a review of basic mathematical properties of gravitation, computing gravity from mass distributions, and relevant methods from Fourier analysis. In the second part of the text, the Earth’s gravity field and its properties are introduced, and the preprocessing and processing of gravity data are explored. Finally, elementary inverse theory is discussed, after which the general inversion problem is considered via application of both the Tikhonov deterministic approach and a stochastic MCMC model. Throughout, examples and exercises are provided to both clarify material and to illustrate real-word applications for readers. Analysis of the Gravity Field: Direct and Inverse Problems is carefully written to be accessible to both mathematicians and geophysicists without sacrificing mathematical rigor. Readers should have a familiarity with the basics of mathematical analysis, as well as some knowledge of statistics and probability theory. Detailed proofs of more advanced results are relegated to appendices so that readers can concentrate on solution algorithms.

Author : R.K. Verma
Publisher : Springer Science & Business Media
Page : 228 pages
File Size : 54,7 Mb
Release : 2012-12-06
Category : Science
ISBN : 9789400952591

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Gravity Field, Seismicity and Tectonics of the Indian Peninsula and the Himalayas by R.K. Verma Pdf

Recent developments in Science and Technology have removed the boundaries betwe~n the so-called 'fundamental' and 'applied' fields of research. This has been particularly evident in the rapidly expanding geophysical sciences with their far reaching applications. Fundamental geophysical studies of surface, subsurface and crustal structures where gravity investigations play an important role, are of immediate potential importance in defining major structural features or geological units which may control or influence the development of metallogenic provinces, petroleum potential areas or coal fields. Gravity studies in India have a long history and tradition. The earliest gravity measurements were made with two brass pendulums loaned by the Royal Society of England, when Basevi and Heaviside established 30 gravity pendulum stations between Cape Comorin and Ladakh during 1865 to 1873. Over the subsequent years, large areas of the country have been systematically covered through gravimeters and a number of regional and detailed studies have been undertaken by various agencies like Survey of India, Geological Survey of India (GSI), Oil and Natural Gas Commission (ONGC), National Geophysical Research Institute (NGRI) and a number of universities. Assistance was provided by late Prof. G. P. Woollard and his former students Muckenfuss, Bonini, Shankaranarayan and Murali Manghnani, who have connected India to the international gravity net work. Gravity studies carried out by the Survey of India have been of great value in geodetic studies.

Author : Majid Naeimi,Jakob Flury
Publisher : Springer
Page : 168 pages
File Size : 40,8 Mb
Release : 2017-02-10
Category : Science
ISBN : 9783319499413

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Global Gravity Field Modeling from Satellite-to-Satellite Tracking Data by Majid Naeimi,Jakob Flury Pdf

This book provides a sound theoretical basis for the the different gravity field recovery methods and the numerics of satellite-to-satellite tracking data. It represents lectures given at the ‘Wilhelm and Else Heraeus Autumn School’ in Bad Honnef, Germany, October 4-9, 2015. The emphasis of the school was on providing a sound theoretical basis for the different gravity field recovery methods and the numerics of data analysis. The approaches covered here are the variational equations (classical approach), the acceleration approach and the energy balance approach, all of which are used for global gravity field recovery on the basis of satellite observations. The theory of parameter estimation in satellite gravimetry and concepts for orbit determination are also included. The book guides readers through a broad range of topics in satellite gravimetry, supplemented by the necessary theoretical background and numerical examples. While it provides a comprehensive overview for those readers who are already familiar with satellite gravity data processing, it also offers an essential reference guide for graduate and undergraduate students interested in this field.

Author : Wolfgang Jacoby,Peter L. Smilde
Publisher : Springer Science & Business Media
Page : 413 pages
File Size : 46,5 Mb
Release : 2009-02-01
Category : Science
ISBN : 9783540853299

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Gravity Interpretation by Wolfgang Jacoby,Peter L. Smilde Pdf

Gravity interpretation involves inversion of data into models, but it is more. Gravity interpretation is used in a “holistic” sense going beyond “inversion”. Inversion is like optimization within certain a priori assumptions, i.e., all anticipated models lie in a limited domain of the a priori errors. No source should exist outside the anticipated model volume, but that is never literally true. Interpretation goes beyond by taking “outside” possibilities into account in the widest sense. Any neglected possibility carries the danger of seriously affecting the interpretation. Gravity interpretation pertains to wider questions such as the shape of the Earth, the nature of the continental and oceanic crust, isostasy, forces and stresses, geol- ical structure, nding useful resources, climate change, etc. Interpretation is often used synonymously with modelling and inversion of observations toward models. Interpretation places the inversion results into the wider geological or economic context and into the framework of science and humanity. Models play a central role in science. They are images of phenomena of the physical world, for example, scale images or metaphors, enabling the human mind to describe observations and re- tionships by abstract mathematical means. Models served orientation and survival in a complex, partly invisible physical and social environment.

Author : Nico Sneeuw
Publisher : Unknown
Page : 102 pages
File Size : 51,5 Mb
Release : 2000
Category : Gravitational fields
ISBN : 3769695666

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A Semi-analytical Approach to Gravity Field Analysis from Satellite Observations by Nico Sneeuw Pdf

Author : Grombein, Thomas
Publisher : KIT Scientific Publishing
Page : 232 pages
File Size : 48,6 Mb
Release : 2017-07-28
Category : Electronic
ISBN : 9783731506553

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Gravity forward modeling with a tesseroid-based Rock-Water-Ice approach – Theory and applications in the context of the GOCE mission and height system unification by Grombein, Thomas Pdf

Author : G. Beutler
Publisher : Springer Science & Business Media
Page : 442 pages
File Size : 42,5 Mb
Release : 2003-10-31
Category : Science
ISBN : 1402014082

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Earth Gravity Field from Space - from Sensors to Earth Sciences by G. Beutler Pdf

Volume resulting from an ISSI Workshop, 11-15 March 2002, Bern, Switzerland

Author : Lars E. Sjöberg,Mohammad Bagherbandi
Publisher : Springer
Page : 383 pages
File Size : 43,5 Mb
Release : 2017-04-19
Category : Science
ISBN : 9783319502984

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Gravity Inversion and Integration by Lars E. Sjöberg,Mohammad Bagherbandi Pdf

This book contains theory and applications of gravity both for physical geodesy and geophysics. It identifies classical and modern topics for studying the Earth. Worked-out examples illustrate basic but important concepts of the Earth’s gravity field. In addition, coverage details the Geodetic Reference System 1980, a versatile tool in most applications of gravity data. The authors first introduce the necessary mathematics. They then review classic physical geodesy, including its integral formulas, height systems and their determinations. The next chapter presents modern physical geodesy starting with the original concepts of M.S. Molodensky. A major part of this chapter is a variety of modifying Stokes’ formula for geoid computation by combining terrestrial gravity data and an Earth Gravitational Model. Coverage continues with a discussion that compares today’s methods for modifying Stokes’ formulas for geoid and quasigeoid determination, a description of several modern tools in physical geodesy, and a review of methods for gravity inversion as well as analyses for temporal changes of the gravity field. This book aims to broaden the view of scientists and students in geodesy and geophysics. With a focus on theory, it provides basic and some in-depth knowledge about the field from a geodesist’s perspective. /div

Author : Fernando Sansò,Michael G. Sideris
Publisher : Springer Science & Business Media
Page : 748 pages
File Size : 46,9 Mb
Release : 2013-02-13
Category : Science
ISBN : 9783540747000

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Geoid Determination by Fernando Sansò,Michael G. Sideris Pdf

This book will be based on the material of the lecture noties in several International Schools for the Determination and Use of the Geoid, organized by the International Geoid Serivice of the International Association of Geodesy. It consolidates, unifies, and streamlines this material in a unique way not covereed by the few other books that exist on this subjext. More specifically, the book presents (for the first time in a single volume) the theory and methodology of the most common technique used for precise determination of the geoid, including the computation of the marine geoid from satellite altimetry data. These are illustrated by specific examples and actual computations of local geoids. In addition, the book provides the fundamentals of estimating orthometric heights without spirit levelling, by properly combining a geoid with heights from GPS. Besides the geodectic and geophysical uses, this last application has made geoid computation methods very popular in recent years because the entire GPS and GIS user communities are interested in estimating geoid undulations in order to convert GPS heights to physically meaningful orthometric heights (elevations above mean sea level). The overall purpose of the book is, therefore, to provide the user community (academics, graduate students, geophysicists, engineers, oceanographers, GIS and GPS users, researchers) with a self-contained textbook, which will supply them with the complete roadmap of estimating geoid undulations, from the theoretical definitions and formulas to the available numerical methods and their implementation and the test in practice.

Author : Oscar L. Colombo
Publisher : Springer Science & Business Media
Page : 353 pages
File Size : 52,5 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781461392552

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From Mars to Greenland: Charting Gravity With Space and Airborne Instruments by Oscar L. Colombo Pdf

Precise and continuous tracking with multi-satellite systems of aircraft andlow flying satellites, accurate airborne measurement of gravity and gravity gradients, and satellite gradiometry have fundamentally changed our view on the de- termination of the Earth's gravity field. The papers in this volume describe these techniques in detail. The ideas are presentedas complementary, and are used to develop new theoretical concepts of gravity field analysis. Computatio- nal models using these techniques are also discussed and are tested in simulations. The papers presented in this volume are the result of an IAG symposium held during the XX General Assembly of the Inter- national Union of Geodesy and Geophysics in Vienna, Austria, August 11-24, 1991.

Author : Rune Floberghagen
Publisher : Springer Science & Business Media
Page : 296 pages
File Size : 42,6 Mb
Release : 2012-08-27
Category : Science
ISBN : 9789048195527

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Lunar Gravimetry by Rune Floberghagen Pdf

Lunar Gravimetry: Revealing the Far-Side provides a thorough and detailed discussion of lunar gravity field research and applications, from the initial efforts of the pre-Apollo and Luna eras to the dedicated gravity mapping experiments of the third millennium. Analysis of the spatial variations of the gravity field of the Moon is a key selenodetic element in the understanding of the physics of the Moon's interior. Remarkably, more than forty years after the initial steps in lunar exploration by spacecraft, the global gravity field still remains largely unknown, due to the limitations of standard observations techniques. As such, knowledge of the high-accuracy and high-resolution gravity field is one of the remaining unsolved issues in lunar science.

Author : United States. Army Map Service
Publisher : Unknown
Page : 156 pages
File Size : 41,9 Mb
Release : 1959
Category : Cartography
ISBN : OSU:32435004667051

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Statistical and Harmonic Analysis of Gravity by United States. Army Map Service Pdf

Author : D.E. James
Publisher : Springer Science & Business Media
Page : 1299 pages
File Size : 44,5 Mb
Release : 1989-11-30
Category : Science
ISBN : 9780442243661

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Encyclopedia of Solid Earth Geophysics by D.E. James Pdf

Consisting of more than 150 articles written by leading experts, this authoritative reference encompasses the entire field of solid-earth geophysics. It describes in detail the state of current knowledge, including advanced instrumentation and techniques, and focuses on important areas of exploration geophysics. It also offers clear and complete coverage of seismology, geodesy, gravimetry, magnetotellurics and related areas in the adjacent disciplines of physics, geology, oceanography and space science.

Author : Leland Timothy Long,Ronald Douglas Kaufmann
Publisher : Cambridge University Press
Page : 183 pages
File Size : 51,8 Mb
Release : 2013-01-17
Category : Science
ISBN : 9781107024137

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Acquisition and Analysis of Terrestrial Gravity Data by Leland Timothy Long,Ronald Douglas Kaufmann Pdf

A one-stop manual for graduate students and professionals, combining introductory gravity survey procedures with full explanations of analysis techniques.

Author : National Research Council,Division on Earth and Life Studies,Commission on Geosciences, Environment and Resources,Committee on Earth Gravity from Space
Publisher : National Academies Press
Page : 126 pages
File Size : 42,6 Mb
Release : 1997-09-02
Category : Science
ISBN : 9780309174763

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Satellite Gravity and the Geosphere by National Research Council,Division on Earth and Life Studies,Commission on Geosciences, Environment and Resources,Committee on Earth Gravity from Space Pdf

For the past three decades, it has been possible to measure the earth's static gravity from satellites. Such measurements have been used to address many important scientific problems, including the earth's internal structure, and geologically slow processes like mantle convection. In principle, it is possible to resolve the time-varying component of the gravity field by improving the accuracy of satellite gravity measurements. These temporal variations are caused by dynamic processes that change the mass distribution in the earth, oceans, and atmosphere. Acquisition of improved time-varying gravity data would open a new class of important scientific problems to analysis, including crustal motions associated with earthquakes and changes in groundwater levels, ice dynamics, sea-level changes, and atmospheric and oceanic circulation patterns. This book evaluates the potential for using satellite technologies to measure the time-varying component of the gravity field and assess the utility of these data for addressing problems of interest to the earth sciences, natural hazards, and resource communities.