Inverse Gravimetric Problems in Geoprospecting and Geodesy
Published in April 1990
Book
Hardback
284 pages
978-0-444-98777-8 (ISBN)
Description
This monograph considers all aspects related to the solution of the inverse gravimetric problems, from the measurements to the visualization of the solution, mapping the initial data; selection of the best model of the unknown distribution of masses; aquisition of a characteristic (having the most concentrated masses) solution; gravi-equivalent mass scattering; and selection of a single body out of all obtained body-solutions, which corresponds best to the available geological-geophysical data. The modern methods for minimization of the respective objective functions are considered, emphasizing the specificity of the inverse problems of the potential fields and using the author's experience in solving these problems. The models when the respective objective functions have only one minimum are considered as well as the conditions for a uniqueness of the inverse gravimetric problem solution.
This monograph considers all aspects related to the solution of the inverse gravimetric problems, from the measurements to the visualization of the solution, mapping the initial data; selection of the best model of the unknown distribution of masses; aquisition of a characteristic (having the most concentrated masses) solution; gravi-equivalent mass scattering; and selection of a single body out of all obtained body-solutions, which corresponds best to the available geological-geophysical data. The modern methods for minimization of the respective objective functions are considered, emphasizing the specificity of the inverse problems of the potential fields and using the author's experience in solving these problems. The models when the respective objective functions have only one minimum are considered as well as the conditions for a uniqueness of the inverse gravimetric problem solution.
This monograph considers all aspects related to the solution of the inverse gravimetric problems, from the measurements to the visualization of the solution, mapping the initial data; selection of the best model of the unknown distribution of masses; aquisition of a characteristic (having the most concentrated masses) solution; gravi-equivalent mass scattering; and selection of a single body out of all obtained body-solutions, which corresponds best to the available geological-geophysical data. The modern methods for minimization of the respective objective functions are considered, emphasizing the specificity of the inverse problems of the potential fields and using the author's experience in solving these problems. The models when the respective objective functions have only one minimum are considered as well as the conditions for a uniqueness of the inverse gravimetric problem solution.
More details
Series
Language
English
Place of publication
Oxford
United Kingdom
Publishing group
Elsevier Science & Technology
Target group
College/higher education
Professional and scholarly
Dimensions
Height: 230 mm
ISBN-13
978-0-444-98777-8 (9780444987778)
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Schweitzer Classification
Content
Part I. Inverse Gravimetric Problem in Geoprospecting. General formulation of the inverse gravimetric problem. Accuracy and stability of the solution. Minimization strategy. Families of gravi-equivalent bodies. Gravi-Equivalent mass scattering. Obtaining gravi-equivalent bodies and simple layers by the method of partial and total gravi-equivalent mass scattering. Solution of the inverse gravimetric problem. Conditions for the uniqueness of the solution. Joint solution of the inverse potential fields problem. Part II. Inverse Gravimetric Problem in Geodesy. Application of the solution of inverse gravimetric problems for determination of the earth's figure. Bibliography. Subject index