Earth Dynamics: Deformations and Oscillations of the Rotating Earth
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. The book covers broadly applicable subjects such as the analysis of unequally spaced time series by Singular Value Decomposition, as well as specific topics on Earth Dynamics.
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Time sequence and spectral analysis
observations and theory
Earths ﬁgure and gravitation
Rotating ﬂuids and the outer core
The subseismic equation and boundary conditions
Variational methods and core modes
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autocorrelation axis azimuthal number bidiagonal matrix body force calculation CALL co-ordinate system coefficient coeﬂicients components convolution core—mantle boundary deﬁned deﬁnition deformation derivatives diagonal dimensionless discrete Fourier transform displacement ﬁeld DOUBLE PRECISION Earth model element entropy equation equatorial equilibrium equipotential expression ﬁgure ﬁle ﬁlter ﬁnd ﬁnite ﬁrst ﬁrst-order ﬁtted ﬂow Fourier transform free constant free core nutation fundamental solutions Galerkin vector geocentre given gives gravitational potential IMPLICIT DOUBLE PRECISION(A—H,O—Z inertia inertial wave interpolation interval linear Love numbers matrix mode normal nutation orthogonal outer core Parzen window period PFCN polar motion polynomials prediction error programme radial radius relation RETURN END RFCN rotation Runge—Kutta sample scalar second-order segment sequence shear stresses shown in Figure singular values spectral density estimate spherical harmonics spheroidal spline subroutine subseismic substitution surface integral tensor theorem torsional unitary matrix vanish variable vector ﬁeld VLBI volume wavelet window z-transform zero