Poirier J.-P. Introduction to the Physics of the Earth’s Interior

New York: Cambridge University Press, 2000. — 326 p.The book begins with a succinct review of the fundamentals of continuum mechanics and thermodynamics of solids, and presents the theory of lattice vibration in solids. The author then introduces the various equations of state, moving on to a discussion of melting laws and transport properties.
The book closes with a discussion of current seismological, thermal and compositional models of the Earth. No special knowledge of geophysics or mineral physics is required, but a background in elementary physics is helpful. The new edition of this successful textbook has been enlarged and fully updated, taking into account the considerable experimental and theoretical progress recently made in understanding the physics of deep-Earth materials and the inner structure of the Earth.
Like the first edition, this will be a useful textbook for graduate and advanced undergraduate students in geophysics and mineralogy. It will also be of great value to researchers in Earth sciences, physics and materials sciences.Jean-Paul Poirier is Professor of Geophysics at the Institut de Physique du Globe de Paris, and a corresponding member of the Acade´mie des Sciences. He is the author of over one-hundred-and-thirty articles and six books on geophysics and mineral physics, including Creep of Crystals Cambridge University Press, 1985) and Crystalline Plasticity and Solid-state flow of Metamorphic Rocks with A. Nicolas (Wiley, 1976).Preface to the first edition page
Preface to the second edition
Introduction to the first edition
Background of thermodynamics of solid
Extensive and intensive conjugate quantitie
Thermodynamic potential
Maxwell’s relations. Stiffnesses and compliance
Elastic moduli
Background of linear elasticity
Elastic constants and moduli
Thermoelastic coupling
Generalities
Isothermal and adiabatic moduli
Thermal pressure
Lattice vibrations
Generalities
Vibrations of a monatomic lattice
Dispersion curve of an infinite lattice
Density of states of a finite lattice
bye’s approximation
Debye’s frequency
Vibrational energy and Debye temperature
Specific heat
Validity of Debye’s approximation
Mie—Grüneisen equation of state
The Grüneisen parameters
Harmonicity, anharmonicity and quasi-harmonicity
Generalities
Thermal expansion
Equations of state
Generalities
Murnaghan’s integrated linear equation of state
Birch—Murnaghan equation of state
Finite strain
Second-order Birch—Murnaghan equation of state
Third-order Birch—Murnaghan equation of state
A logarithmic equation of state
The Hencky finite strain
The logarithmic EOS
Equations of state derived from interatomic potentials
EOS derived from the Mie potential
The Vinet equation of state
Birch’s law and velocity—density systematics
Generalities
Bulk-velocity—density systematics
Thermal equations of state
Shock-wave equations of state
Generalities
The Rankine—Hugoniot equations
Reduction of the Hugoniot data to isothermal equation of state
First principles equations of state
Thomas—Fermi equation of state
Ab-initio quantum mechanical equations of state
Melting
Generalities
Thermodynamics of melting
Clausius—Clapeyron relation
Volume and entropy of melting
Metastable melting
Semi-empirical melting laws
Simon equation
Kraut—Kennedy equation
Theoretical melting models
Shear instability models
Vibrational instability: Lindemann law
Lennard-Jones and Devonshire model
Dislocation-mediated meltingMelting of lower-mantle minerals
Melting of MgSiO perovskite
Melting of MgO and magnesiowu¨ stite
Phase diagram and melting of iron
Transport properties
Generalities
Mechanisms of diffusion in solids
Viscosity of solids
Diffusion and viscosity in liquid metals
Electrical conduction
Generalities on the electronic structure of solids
Mechanisms of electrical conduction
Electrical conductivity of mantle minerals
Electrical conductivity of the fluid core
Thermal conduction
Earth models
Generalities
Seismological models
Density distribution in the Earth
The PREM model
Thermal models
Sources of heat
Heat transfer by convection
Convection patterns in the mantle
Geotherms
Mineralogical models
Phase transitions of the mantle minerals
Mantle and core models
Appendix PREM model (1s) for the mantle and core