Call number:
9781107306189 (e-book)
Description / Table of Contents:
"The Earth is a dynamic system. Internal processes, together with external gravitational forces of the Sun, Moon and planets, displace the Earth's mass, impacting on its shape, rotation and gravitational field. Doug Smylie provides a rigorous overview of the dynamical behaviour of the solid Earth, explaining the theory and presenting methods for numerical implementation. Topics include advanced digital analysis, earthquake displacement fields, Free Core Nutations observed by the Very Long Baseline Interferometric technique, translational modes of the solid inner core observed by the superconducting gravimeters, and dynamics of the outer fluid core. This book is supported by freeware computer code, available online for students to implement the theory. Online materials also include a suite of graphics generated from the numerical analysis, combined with 100 graphic examples in the book to make this an ideal tool for researchers and graduate students in the fields of geodesy, seismology and solid earth geophysics"--
Type of Medium:
12
Pages:
1 Online-Ressource (XII, 543 Seiten)
,
Illustrationen
Edition:
Electronic reproduction. Ann Arbor, MI : ProQuest, 2015. Available via World Wide Web. Access may be limited to ProQuest affiliated libraries.
ISBN:
9781107306189
URL:
Fulltext @ Ebook Central
Language:
English
Note:
Contents
Preface and acknowledgments
The book website www.cambridge.org/smylie
1 Introduction and theoretical background
1.1 Scalar, vector and tensor analysis
1.2 Separation of vector fields
1.3 Vector spherical harmonics
1.4 Elasticity theory
1.5 Linear algebraic systems
1.6 Interpolation and approximation
2 Time sequence and spectral analysis
2.1 Time domain analysis
2.2 Linear optimum Wiener filters
2.3 Frequency domain analysis
2.4 Fourier series and transforms
2.5 Power spectral density estimation
2.6 Maximum entropy spectral analysis
3 Earth deformations
3.1 Equilibrium equations
3.2 The reciprocal theorem of Betti
3.3 Radial equations: spheroidal and torsional
3.4 Dynamical equations
3.5 Solutions near the geocentre
3.6 Numerical integration of the radial equations
3.7 Fundamental, regular solutions in the inner core
4 Earth's rotation: observations and theory
4.1 Reference frames
4.2 Polar motion and wobble
4.3 The dynamics of polar motion and wobble
4.4 Nutation and motion of the celestial pole
5 Earth's figure and gravitation
5.1 Historical development
5.2 External gravity and figure
5.3 Equilibrium theory of the internal figure
5.4 Gravity coupling
6 Rotating fluids and the outer core
6.1 The inertial wave equation
6.2 Dynamics of the fluid outer core
6.3 Scaling of the core equations
6.4 Compressibility and density stratification
7 The subseisniic equation and boundary conditions
7.1 The subseismic wave equation
7.2 Deformation of the shell and inner core
8 Variational methods and core modes
8.1 A subseismic variational principle
8.2 Representation of the functional
8.3 Finite element support functions
8.4 Boundary conditions and constraints
8.5 Numerical implementation and results
8.6 Rotational splitting and viscosity
8.7 A viscosity profile for the outer core
9 Static deformations and dislocation theory
9.1 The elasticity theory of dislocations
9.2 The theory for realistic Earth models
9.3 Changes in the inertia tensor and the secular polar shift
Appendix A Elementary results from vector analysis
A.1 Vector identities
A.2 Vector calculus identities
A.3 Integral theorems
Appendix B Properties of Legendre functions
B.1 Recurrence relations
B.2 Evaluation of Legendre functions
Appendix C Numerical Earth models
C.1 The Earth models
References
Fortran index
Subject index
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