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Global Dynamics of the Earth: Applications of Viscoelastic Relaxation Theory to Solid-Earth and Planetary Geophysics

  • Self-contained textbook on how to model viscoelastic relaxation, within the frame of most advanced analytical approaches, aimed at acquiring a deep insight into the physics of the modelled geophysical phenomena
  • Contains the widest spectrum of geophysical processes where viscoelastic relaxation plays a key role, from post-seismic deformation to geoid anomalies and polar displacements driven by density anomalies due to mantle convection, including post-glacial rebound and sea-level changes
  • Accounts for the newest developments in Planetology, dealing with viscoelastic relaxation of ice moons of the Solar System squeezed by tidal forces, most interesting planetary bodies that might offer chances for natural habitat and even extraterrestrial life forms, thanks to possible liquid layers under their icy crust
  • Includes newest developments on True Polar Wander driven by internal sources
  • Contains the newest applications of gravity data from space gravity (GRACE) in post-glacial rebound studies, aimed at estimating the present-day mass imbalance in Greenland and Antarctica, as well as the retrieval of the Centroid Moment Tensor solution from huge thrust earthquakes at subduction zones
  • Includes supplementary material: sn.pub/extras

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Table of contents (9 chapters)

  1. Front Matter

    Pages i-xvi
  2. Viscoelastic Relaxation Theory, Momentum and Poisson Equations

    • Roberto Sabadini, Bert Vermeersen, Gabriele Cambiotti
    Pages 1-51
  3. Incompressible and Compressible Analytical Viscoelastic Models

    • Roberto Sabadini, Bert Vermeersen, Gabriele Cambiotti
    Pages 53-85
  4. Rotational Dynamics of Viscoelastic Planets: Linear Theory

    • Roberto Sabadini, Bert Vermeersen, Gabriele Cambiotti
    Pages 87-148
  5. TPW and \(\dot{J}_2\) Induced by Ice-Sheet Loading

    • Roberto Sabadini, Bert Vermeersen, Gabriele Cambiotti
    Pages 149-187
  6. Detection of the Time-Dependent Gravity Field and Global Change

    • Roberto Sabadini, Bert Vermeersen, Gabriele Cambiotti
    Pages 189-224
  7. Sea-Level Changes

    • Roberto Sabadini, Bert Vermeersen, Gabriele Cambiotti
    Pages 225-256
  8. TPW Driven by Subduction: Non-linear Rotation Theory

    • Roberto Sabadini, Bert Vermeersen, Gabriele Cambiotti
    Pages 257-267
  9. Post-seismic Deformation

    • Roberto Sabadini, Bert Vermeersen, Gabriele Cambiotti
    Pages 269-291
  10. Icy Moons

    • Roberto Sabadini, Bert Vermeersen, Gabriele Cambiotti
    Pages 293-335
  11. Back Matter

    Pages 337-358

About this book

This volume opens up new perspectives on the physics of the Earth’s interior and planetary bodies for graduate students and researchers working in the fields of geophysics, planetary sciences and geodesy. It looks at our planet in an integrated fashion, linking the physics of its interior to geophysical and geodetic techniques that record, over a broad spectrum of spatial wavelengths and time scales, the ongoing modifications in the shape and gravity field of the planet. Basic issues related to the rheological properties of the Earth and to its slow deformation are considered, in both mathematical and physical terms, within the framework of an analytical relaxation theory. Fundamentals of this theory are developed in the first two Chapters. Chapters 3-9 deal with a wide range of applications, ranging from changes in the Earth’s rotation to post-seismic deformation and from sea-level variations induced by post-glacial rebound to tidal deformation of icy moons of the Solar System. This Second Edition improves substantially our formalism implementing compressibility in viscoelastic relaxation. Chapter 5 now contains new developments in the physics of the gravitational effects of large earthquakes at subduction zones, made possible by new gravity data from space missions. The new Chapter 9 of this Second Edition on deformation and stresses of icy moons enlarges the applications of the book to Planetology, dealing with the additional complications in the theory of viscoelastic relaxation introduced by the shallow low-viscosity zones and inviscid water layers of the moons of Jupiter and Saturn.

Authors and Affiliations

  • Section of Geophysics, University of Milan, Milano, Italy

    Roberto Sabadini

  • Delft University of Technology, NIOZ/Utrecht University, Delft, The Netherlands

    Bert Vermeersen

  • Milan, Italy

    Gabriele Cambiotti

About the authors

Prof. Roberto Sabadini is Full Professor of Solid Earth Geophysics at the Department of Earth Sciences, University of Milano, Italy. His focus is on the role of Earth’s viscoelasticity, particularly within the frame of an analytical approach, applied to a variety of geophysical phenomena, from postglacial rebound to those related to mantle density anomalies, from secular polar motion to post-seismic deformation. This modelling looks at the Earth in an integrated fashion and links the physics of its interior with the newly acquired gravity and deformation data from space geodesy.


Prof. Dr. Bert Vermeersen is Full Professor of Planetary Exploration at the Faculty of Aerospace Engineering and at the Faculty of Civil Engineering and Geosciences of Delft University of Technology in The Netherlands. He is also a Senior Researcher on sea level change at the Royal Netherlands Institute for Sea Research NIOZ in The Netherlands. Prof. Vermeersen's focus of his planetary exploration research is on the moons of Jupiter and Saturn. At NIOZ his research concentrates on sea level change for both the present day and for geological periods.


Dr. Gabriele Cambiotti is Researcher at the Department of Earth Sciences at the University of Milano, Italy, where he teaches the courses of Seismology and Mathematical Methods for Geophysics. His research focuses on viscoelastodynamics and the modeling of glacial isostatic adjustment, mantle convection and seismic cycle. He studies basic physical and mathematical issues related to viscoelastic deformation. Long term Earth’s rotation and gravitational seismology are also keys in his research.

Bibliographic Information

  • Book Title: Global Dynamics of the Earth: Applications of Viscoelastic Relaxation Theory to Solid-Earth and Planetary Geophysics

  • Authors: Roberto Sabadini, Bert Vermeersen, Gabriele Cambiotti

  • DOI: https://doi.org/10.1007/978-94-017-7552-6

  • Publisher: Springer Dordrecht

  • eBook Packages: Earth and Environmental Science, Earth and Environmental Science (R0)

  • Copyright Information: Springer Science+Business Media Dordrecht 2016

  • Hardcover ISBN: 978-94-017-7550-2Published: 06 June 2016

  • Softcover ISBN: 978-94-024-1378-6Published: 31 May 2018

  • eBook ISBN: 978-94-017-7552-6Published: 27 May 2016

  • Edition Number: 2

  • Number of Pages: XVI, 358

  • Number of Illustrations: 94 b/w illustrations, 23 illustrations in colour

  • Topics: Geophysics/Geodesy, Earth System Sciences

Buy it now

Buying options

eBook USD 54.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 69.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access