Book contents
- Frontmatter
- Contents
- Preface
- 1 Origin and history of the Solar System
- 2 Composition of the Earth
- 3 Radioactivity, isotopes and dating
- 4 Isotopic clues to the age and origin of the Solar System
- 5 Evidence of the Earth's evolutionary history
- 6 Rotation, figure of the Earth and gravity
- 7 Precession, wobble and rotational irregularities
- 8 Tides and the evolution of the lunar orbit
- 9 The satellite geoid, isostasy, post-glacial rebound and mantle viscosity
- 10 Elastic and inelastic properties
- 11 Deformation of the crust: rock mechanics
- 12 Tectonics
- 13 Convective and tectonic stresses
- 14 Kinematics of the earthquake process
- 15 Earthquake dynamics
- 16 Seismic wave propagation
- 17 Seismological determination of Earth structure
- 18 Finite strain and high-pressure equations of state
- 19 Thermal properties
- 20 The surface heat flux
- 21 The global energy budget
- 22 Thermodynamics of convection
- 23 Thermal history
- 24 The geomagnetic field
- 25 Rock magnetism and paleomagnetism
- 26 ‘Alternative’ energy sources and natural climate variations: some geophysical background
- Appendix A General reference data
- Appendix B Orbital dynamics (Kepler's laws)
- Appendix C Spherical harmonic functions
- Appendix D Relationships between elastic moduli of an isotropic solid
- Appendix E Thermodynamic parameters and derivative relationships
- Appendix F An Earth model: mechanical properties
- Appendix G A thermal model of the Earth
- Appendix H Radioactive isotopes
- Appendix I A geologic time scale
- Appendix J Problems
- References
- Name Index
- Subject Index
9 - The satellite geoid, isostasy, post-glacial rebound and mantle viscosity
Published online by Cambridge University Press: 05 July 2013
- Frontmatter
- Contents
- Preface
- 1 Origin and history of the Solar System
- 2 Composition of the Earth
- 3 Radioactivity, isotopes and dating
- 4 Isotopic clues to the age and origin of the Solar System
- 5 Evidence of the Earth's evolutionary history
- 6 Rotation, figure of the Earth and gravity
- 7 Precession, wobble and rotational irregularities
- 8 Tides and the evolution of the lunar orbit
- 9 The satellite geoid, isostasy, post-glacial rebound and mantle viscosity
- 10 Elastic and inelastic properties
- 11 Deformation of the crust: rock mechanics
- 12 Tectonics
- 13 Convective and tectonic stresses
- 14 Kinematics of the earthquake process
- 15 Earthquake dynamics
- 16 Seismic wave propagation
- 17 Seismological determination of Earth structure
- 18 Finite strain and high-pressure equations of state
- 19 Thermal properties
- 20 The surface heat flux
- 21 The global energy budget
- 22 Thermodynamics of convection
- 23 Thermal history
- 24 The geomagnetic field
- 25 Rock magnetism and paleomagnetism
- 26 ‘Alternative’ energy sources and natural climate variations: some geophysical background
- Appendix A General reference data
- Appendix B Orbital dynamics (Kepler's laws)
- Appendix C Spherical harmonic functions
- Appendix D Relationships between elastic moduli of an isotropic solid
- Appendix E Thermodynamic parameters and derivative relationships
- Appendix F An Earth model: mechanical properties
- Appendix G A thermal model of the Earth
- Appendix H Radioactive isotopes
- Appendix I A geologic time scale
- Appendix J Problems
- References
- Name Index
- Subject Index
Summary
Preamble
Gravity observations are referred to an equipotential surface, termed the geoid, for which sea level is a close approximation. We can picture the geoidal surface in continental areas as following the water level in hypothetical narrow canals connected to the oceans. For a non-rotating planet in hydrostatic equilibrium the geoid would be a sphere but rotation deforms it to an oblate ellipsoid. For several reasons discussed in Section 6.4 the Earth is slightly more elliptical than equilibrium theory would suggest. One reason is the depression of polar regions by former glaciation, from which recovery is incomplete and the continuing rebound gives a clue to the viscosity of the mantle. There are heterogeneities at all levels, the most obvious of which are seen at the surface as continents and oceans, but the effect of the continent–ocean structure on the geoid is barely discernible and very much less than if the continents were superimposed on an otherwise uniform Earth. On a continental scale the surface features are very nearly in hydrostatic balance. This is the principle of isostasy.
Features of the gravity field on a scale larger than 1000 km are discerned more effectively by studying perturbations of satellite orbits than would be possible from surface observations. With progressive improvements, satellite techniques have been used to distinguish increasingly fine features, although for exploration of local anomalies surface observations on land must still be used, sometimes in combination with satellite data.
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- Chapter
- Information
- Physics of the Earth , pp. 117 - 134Publisher: Cambridge University PressPrint publication year: 2008