| Titre : |
Principles of the gravitational method |
| Type de document : |
texte imprimé |
| Auteurs : |
Kaufman, Alexander Arkadevich, (1931-....), Auteur ; Richard O. Hansen, Auteur |
| Editeur : |
Amsterdam [Pays-Bas] : Elsevier |
| Année de publication : |
c2014 |
| Collection : |
Methods in geochemistry and geophysics num. 41 |
| Importance : |
xii, 245 p. |
| Présentation : |
ill. |
| Format : |
25 cm |
| ISBN/ISSN/EAN : |
978-0-444-55951-7 |
| Note générale : |
Réf. bibliogr. Index |
| Langues : |
Anglais (eng) |
| Catégories : |
Champs, Théorie des (physique) ; Force centrifuge ; Gravimètres (Instruments géophysiques) ; Gravité -- Mesure
|
| Index. décimale : |
531.14 |
| Résumé : |
This self-contained monograph gives a thorough introduction to the theory of gravity which is used as the basis for developing applications in exploration and geodesy. In addition, a survey of gravity instrumentation is given, with emphasis on the theory of underlying these instruments. The book finishes with an exposition of forward modeling and inverston, again emphasizing fundamental principles. *Surveys gravity instrumentation with emphasis on the theory of why certain instrumentation is used. *Presents thorough developments of the theory of gravity to aid in creating applications |
| Note de contenu : |
Chapter 1. Principles of Theory of Attraction: 1.1. Newton's Law of Attraction -- 1.2. The Field of Attraction and Solution of the Forward Problem -- 1.3. Different Types of Masses and their Densities -- 1.4. Two Fundamental Features of the Attraction Field -- 1.5. System of Equations of the Field of Attraction -- 1.6. Laplace's and Poisson's Equations -- 1.7. The Potential and its Relation to Masses -- 1.8. Fundamental Solution of Poisson's and Laplace's Equations -- 1.9. Theorem of Uniqueness and Solution of the Forward Problem -- 1.10. Green's Formula and the Relationship Between Potential and Boundary Conditions -- 1.11. Analytical Upward Continuation of the Field -- 1.12. Poisson's Integral -- 1.13. Behavior of the Attraction Field; 1.14. Legendre's Functions and a Solution of Laplace's Equation -- Chapter 2. Gravitational Field of the Earth: 2.1. Forces Acting on an Elementary Volume of the Rotating Earth and the Gravitational Field -- 2.2. Gravitational Field of the Earth; --2.3. Potential of the Gravitational Field of the Earth -- 2.4. Potential and the Gravitational Field due to an Ellipsoid of Rotation -- 2.5. Clairaut's Theorem -- 2.6. Potential of the Gravitational Field in Terms of Spherical Harmonics -- 2.7. Geoid and Leveling -- 2.8. Stokes's Formula -- 2.9. Molodensky's Boundary Problem -- 2.10. Attraction Field of the Spheroid -- 2.11. Spheroid and Equilibrium of a Rotating Fluid -- 2.12. Development of the Theory of the Figure of the Earth (Brief Historic Review) -- Chapter 3. Principles of Measurements of the Gravitational Field: 3.1. History of Measurement of the Gravitational Field -- 3.2. Principles of Ballistic Gravimeter; 3.3. Pendulum Devices -- 3.4. Influence of Coriolis Force on Particle Motion -- 3.5. Vertical Spring-Mass System -- 3.6. Spring with an Initial Compression and Hooke's Law -- 3.7. Torsion Spring-Mass System -- 3.8. Lever Spring-Mass System -- 3.9. Measurement of Second Derivatives of the Potential of Gravitational Field -- Chapter 4. Uniqueness and the Solution of the Inverse Problem in Gravity: 4.1. Concept of Uniqueness and the Solution of the Inverse Problem -- 4.2. Solution of the Inverse Problem and the Influence of Noise -- 4.3. Solution of the Forward Problem (A Calculation of the Field of Attraction) -- Bibliography -- Appendix -- Subject Index |
Principles of the gravitational method [texte imprimé] / Kaufman, Alexander Arkadevich, (1931-....), Auteur ; Richard O. Hansen, Auteur . - Amsterdam (Pays-Bas) : Elsevier, c2014 . - xii, 245 p. : ill. ; 25 cm. - ( Methods in geochemistry and geophysics; 41) . ISBN : 978-0-444-55951-7 Réf. bibliogr. Index Langues : Anglais ( eng)
| Catégories : |
Champs, Théorie des (physique) ; Force centrifuge ; Gravimètres (Instruments géophysiques) ; Gravité -- Mesure
|
| Index. décimale : |
531.14 |
| Résumé : |
This self-contained monograph gives a thorough introduction to the theory of gravity which is used as the basis for developing applications in exploration and geodesy. In addition, a survey of gravity instrumentation is given, with emphasis on the theory of underlying these instruments. The book finishes with an exposition of forward modeling and inverston, again emphasizing fundamental principles. *Surveys gravity instrumentation with emphasis on the theory of why certain instrumentation is used. *Presents thorough developments of the theory of gravity to aid in creating applications |
| Note de contenu : |
Chapter 1. Principles of Theory of Attraction: 1.1. Newton's Law of Attraction -- 1.2. The Field of Attraction and Solution of the Forward Problem -- 1.3. Different Types of Masses and their Densities -- 1.4. Two Fundamental Features of the Attraction Field -- 1.5. System of Equations of the Field of Attraction -- 1.6. Laplace's and Poisson's Equations -- 1.7. The Potential and its Relation to Masses -- 1.8. Fundamental Solution of Poisson's and Laplace's Equations -- 1.9. Theorem of Uniqueness and Solution of the Forward Problem -- 1.10. Green's Formula and the Relationship Between Potential and Boundary Conditions -- 1.11. Analytical Upward Continuation of the Field -- 1.12. Poisson's Integral -- 1.13. Behavior of the Attraction Field; 1.14. Legendre's Functions and a Solution of Laplace's Equation -- Chapter 2. Gravitational Field of the Earth: 2.1. Forces Acting on an Elementary Volume of the Rotating Earth and the Gravitational Field -- 2.2. Gravitational Field of the Earth; --2.3. Potential of the Gravitational Field of the Earth -- 2.4. Potential and the Gravitational Field due to an Ellipsoid of Rotation -- 2.5. Clairaut's Theorem -- 2.6. Potential of the Gravitational Field in Terms of Spherical Harmonics -- 2.7. Geoid and Leveling -- 2.8. Stokes's Formula -- 2.9. Molodensky's Boundary Problem -- 2.10. Attraction Field of the Spheroid -- 2.11. Spheroid and Equilibrium of a Rotating Fluid -- 2.12. Development of the Theory of the Figure of the Earth (Brief Historic Review) -- Chapter 3. Principles of Measurements of the Gravitational Field: 3.1. History of Measurement of the Gravitational Field -- 3.2. Principles of Ballistic Gravimeter; 3.3. Pendulum Devices -- 3.4. Influence of Coriolis Force on Particle Motion -- 3.5. Vertical Spring-Mass System -- 3.6. Spring with an Initial Compression and Hooke's Law -- 3.7. Torsion Spring-Mass System -- 3.8. Lever Spring-Mass System -- 3.9. Measurement of Second Derivatives of the Potential of Gravitational Field -- Chapter 4. Uniqueness and the Solution of the Inverse Problem in Gravity: 4.1. Concept of Uniqueness and the Solution of the Inverse Problem -- 4.2. Solution of the Inverse Problem and the Influence of Noise -- 4.3. Solution of the Forward Problem (A Calculation of the Field of Attraction) -- Bibliography -- Appendix -- Subject Index |
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