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Equations of state of the Earth

Data up to Jan 2025

Published1975
Citations64
References152

Total Citations Per Year

Abstract

References (152)

The velocity of compressional waves in rocks to 10 kilobars: 1.

1960 • 2,190 citations

The velocity of compressional waves in rocks to 10 kilobars: 2.

1961 • 1,450 citations

Seismic velocities in dry and saturated cracked solids

1974 • 1,370 citations

Elastic moduli, pressure derivatives, and temperature derivatives of single-crystal olivine and single-crystal forsterite

1969 • 721 citations

Hugoniot equation of state of twelve rocks

1967 • 441 citations

Effects of stress on velocity anisotropy in rocks with cracks

1971 • 422 citations

Shock wave study of the α ⇄ ε phase transition in iron

1974 • 415 citations

Elastic properties of marine sediments

1971 • 352 citations

Rough Compressions of 177 Substances to 40,000 Kg/Cm⁲

1948 • 340 citations

Elastic moduli of perfectly disordered composite materials

1967 • 305 citations

Measurement of single-crystal elastic constants of bronzite as a function of pressure and temperature

1972 • 295 citations

Elastic constants of single-crystal forsterite as a function of temperature and pressure

1969 • 295 citations

Lattice Parameters of Nine Oxides and Sulfides as a Function of Pressure

1966 • 279 citations

The effect of oriented cracks on seismic velocities

1974 • 252 citations

Compressional wave velocities in possible mantle rocks to pressures of 30 kilobars

1974 • 231 citations

The adiabatic gradient and the melting point gradient in the core of the Earth

1971 • 231 citations

Effective elastic moduli under hydrostatic stress—I. quasi-harmonic theory

1974 • 230 citations

Elastic constants of the central force model for cubic structures: Polycrystalline aggregates and instabilities

1971 • 218 citations

Composition and Evolution of the Mantle and Core

1971 • 218 citations

A Seismic Equation of State

1967 • 217 citations

CaO and SrO single crystal elastic constants and their pressure derivatives

1972 • 216 citations

Pressure dependence of single-crystal elastic constants and anharmonic properties of spinel

1973 • 195 citations

Effect of pressure on the crystal structure and the lattice parameters of BaO

1972 • 183 citations

Effect of pressure and temperature on the molar volumes of Wüstite and of three (Fe, Mg)2SiO4spinel solid solutions

1969 • 181 citations

Voigt and Reuss prediction of anisotropic elasticity of dunite

1971 • 175 citations

A simple constitutive theory for a fluid-saturated porous solid

1972 • 167 citations

Isothermal compression of magnetite to 320 KB

1974 • 161 citations

Compression of Ag and phase transformation of NaCl

1973 • 153 citations

Elasticity and Equations of State of Olivines in the Mg2SiO4-Fe2SiO4 System

1971 • 152 citations

Compressional and shear wave velocities in granulite facies rocks and eclogites to 10 kbar

1974 • 150 citations

Elasticity of some mantle crystal structures: 1. Pleonaste and hercynite spinel

1972 • 149 citations

Petrologic properties of the upper 670 km of the earth's mantle; geophysical implications

1973 • 147 citations

Velocity-density systematics: Derivation from Debye theory and the effect of ionic size

1972 • 144 citations

Elastic Moduli of Single-Crystal Spinel at 25°C and to 2 kbar

1967 • 141 citations

Effect of pressure on the lattice parameters of stishovite

1974 • 140 citations

Elastic-wave velocities of polycrystalline stishovite

1972 • 136 citations

Elasticity of some mantle crystal structures: 2. Rutile GeO2

1973 • 133 citations

Elasticity of polycrystals and rocks

1972 • 133 citations

Birch's Law: Why Is It So Good?

1972 • 128 citations

Shock-induced transition of quartz to stishovite

1973 • 122 citations

Quasi-harmonic finite strain equations of state of solids

1973 • 120 citations

Pressure coefficient of compressional wave velocity for a bronzitite

1974 • 119 citations

Changes of the crystal structure and the lattice parameter of SrO at high pressure

1973 • 119 citations

Dynamic compression of enstatite

1971 • 119 citations

Compressibility of fifteen minerals to 45 kilobars

1973 • 118 citations

Equations of state and phase equilibria of stishovite and a coesitelike phase from shock-wave and other data

1972 • 117 citations

Equation of state of forsterite

1971 • 116 citations

Velocity anisotropy in a mantle peridotite from the Ivrea Zone: Application to upper mantle anisotropy

1974 • 115 citations

Compression of calcite to 40 KB

1974 • 113 citations

Elasticity and anisotropy of dunite and bronzitite

1972 • 108 citations

Sound velocity of some germanate compounds and its relation to the law of corresponding states

1971 • 107 citations

Magnetic effects of sea tides

1973 • 107 citations

General relationships among sound speeds

1974 • 105 citations

Elastic moduli and anisotropy of dunite to 10 kilobars

1971 • 104 citations

Elastic moduli of pressure-sintered nickel oxide

1971 • 102 citations

Elasticity of some mantle crystal structures 3. Spessartite-almandine garnet

1974 • 102 citations

Revised shock-wave equations of state for high-pressure phases of rocks and minerals

1971 • 100 citations

Limits on the Constitution of the Lower Mantle

1974 • 100 citations

Magnetoelastic interactions in hematite: Implications for geophysics

1971 • 96 citations

The determination of the volume dependence of the Grüneisen Parameter γ

1974 • 94 citations

General relationships among sound speeds

1974 • 93 citations

A shock-induced phase change in orthoclase

1973 • 92 citations

Linear compressibility of ice

1972 • 90 citations

Discrepancies in Elastic Constant Data for MgO Polycrystals and Single Crystals

1971 • 90 citations

Linear thermal expansion coefficients of orthopyroxene to 1000°C

1972 • 90 citations

Internal constitution of Mars

1972 • 88 citations

Elasticity, crystal structure and phase transitions

1974 • 88 citations

Elastic properties of alpha quartz and the alkali halides based on an interatomic force model

1972 • 87 citations

Velocity-density systematics and its implications for the iron content of the mantle

1974 • 86 citations

Isothermal compressions of a spinel phase of Co2SiO4and magnesian ilmenite

1974 • 85 citations

Elastic properties of eclogite xenoliths from diatremes of the East Colorado Plateau and their implication to the upper mantle structure

1971 • 85 citations

A shock-induced phase change in iron-silicate garnet

1972 • 84 citations

Shock wave compression of iron-silicate garnet

1973 • 84 citations

Effect of stress-induced anisotropy and porosity on elastic properties of polycrystals

1972 • 84 citations

Extrapolation of elastic properties to high pressure in the alkali halides

1972 • 84 citations

Quartz to stishovite: Wave propagation in the mixed phase region

1974 • 84 citations

Application of the fourth-order anharmonic theory to the prediction of equations of state at high compressions and temperatures

1972 • 83 citations

Thermal expansion of stishovite

1974 • 83 citations

The state of mantle minerals

1972 • 81 citations

Compression of olivine to 100 kilobars

1971 • 81 citations

Elastic shear moduli and crystal stability at highPandT

1971 • 78 citations

Numerical experiments on the velocities in aggregates of olivine

1972 • 77 citations

Compression of garnet to 100 kilobars

1972 • 75 citations

Phase transitions, elasticity-density relations, and the univalent halides

1974 • 74 citations

Additional data on the compression of olivine to 140 kilobars

1972 • 73 citations

Redetermination of the relative compressions of the cell edges of olivine

1974 • 72 citations

Chemistry of the Earth's lower mantle

1973 • 71 citations

A scaling law for K′0 for silicates with constant mean atomic mass

1973 • 71 citations

The Core Paradox

1973 • 70 citations

Birch's diagram: Some new observations

1974 • 69 citations

Thermal regime of the Earth's core

1973 • 68 citations

Measurement of elastic velocities of MgO under shock compression to 500 kilobars

1973 • 67 citations

Premonitory Variations in S -Wave Velocity Anisotropy before Earthquakes in Nevada

1973 • 67 citations

Some remarks on the redundancy checks for cubic crystals

1974 • 65 citations

Theoretical bounds on the adiabatic compressibility of rocks

1973 • 65 citations

The origin and chemical composition of the earth's core

1972 • 62 citations

Effect of low-spin Fe2+on the composition of the lower mantle

1973 • 61 citations

Shear wave birefringence in dilating granite

1974 • 60 citations

Experimental analysis of spherical wave propagation

1973 • 57 citations

Identification of High-Pressure Phases of Rocks and Minerals from Hugoniot Data

1973 • 53 citations

Elastic properties of polycrystalline magnesium, iron, and manganese carbonates to 10 kilobars

1972 • 53 citations

Static mechanical properties and shock loading response of granite

1974 • 51 citations

Wave propagation effects in a fluid-saturated porous solid

1971 • 49 citations

Viscous phase in rocks and the low-velocity zone

1971 • 45 citations

Continuum model of regularly jointed mediums

1974 • 36 citations

Velocity of compressional waves in limestones, marbles, and a single crystal of calcite to 20 kilobars

1966 • 35 citations

Melting temperatures in the earth's mantle

1972 • 34 citations

Compressional and shear wave velocities in granular materials to 2.5 kilobars

1973 • 30 citations

Precise representation of the P-V-T properties of water and seawater determined from sound speeds

1973 • 30 citations

Comments on paper by G. Higgins and G. C. Kennedy, ‘The adiabatic gradient and the melting point gradient in the core of the Earth’

1972 • 28 citations

Acoustic velocities and energy losses in granular aggregates

1973 • 28 citations

Influence of water in rocks on effects of underground nuclear explosions

1971 • 28 citations

Isentropic compression of fused quartz and liquid hydrogen to several Mbar

1972 • 27 citations

Temperature gradients at the core-mantle interface

1973 • 27 citations

Ultrasonic study of phase transition in calcite to 20 kilobars and 180°C

1968 • 27 citations

Formation of diaplectic glass by experimental shock loading of orthoclase

1971 • 26 citations

Melting of iron by significant structure theory

1972 • 24 citations

On the Compression of Stishovite

1973 • 24 citations

Elasticity of some mantle crystal structures. II.

1973 • 22 citations

Acoustic double refraction in low-porosity rocks

1973 • 21 citations

Elasticity of water-saturated rocks as a function of temperature and pressure

1973 • 21 citations

Shock Compression of Iron Sulphide and the Possible Sulphur Content of the Earth's Core

1973 • 19 citations

Propagation of sound waves in a rock undergoing phase transformations

1973 • 18 citations

Equations of state of olivine-transformed spinels

1972 • 17 citations

The mineralogic distribution of iron in the upper mantle

1972 • 16 citations

Lattice model calculations of elastic and thermodynamic properties at high pressure and temperature

1972 • 16 citations

Wave velocity and attenuation in rocks undergoing polymorphic transformations

1973 • 15 citations

Optical absorption spectra of ruby and periclase at high shock pressures

1973 • 14 citations

On the equations of state of high-pressure solid phases

1973 • 12 citations

A simple seismic model for determining principal anisotropic direction

1972 • 12 citations

Composition and temperature of the outer core

1973 • 12 citations

Ultrasonic shear wave birefringence as a test of homogeneous elastic anisotropy

1973 • 12 citations

Acoustic double refraction in low-porosity rocks

1974 • 10 citations

Elastic properties of granular materials under uniaxial compaction cycles

1973 • 9 citations

FeO and SiO2 in the lower mantle

1972 • 6 citations

High-Pressure Physics and Planetary Interiors

2000 • 5 citations

Melting Temperatures in the Earth's Mantle

1972 • 5 citations

Linear bulk modulus approximation for sapphire

1971 • 4 citations

Brief note on effects of thermal pulses on elastic moduli and Q of rock

1973 • 4 citations

Interpretation of ultrasonic measurements of hot-pressed polycrystalline specimens of MgO

1973 • 4 citations

Shockwave determination of the shear velocity at very high pressures

1972 • 4 citations

Seismic properties of fine rock powders in lunar conditions

1973 • 3 citations

On the effects of pressure upon rock elasticity

1972 • 3 citations

The role of experimental physical acoustics in geophysics

1972 • 2 citations

The State of Mantle Minerals

1972 • 2 citations

Sound velocity related to dissolved gas in sea water

1972 • 2 citations

Comment [on “Reply” by Hugh F. Bennett]

1974 • 1 citations

Reply [to “Comment on ‘A simple seismic model for determining principal anisotropic directions’ by Hugh F. Bennett”]

1974 • 1 citations

Reply [to “Comment on ‘Reply’ by Hugh F. Bennett”]

1974 • 1 citations

The Role of Experimental Physical Acoustics in Geophysics

1972 • 1 citations

Comment [on “A simple seismic model for determining principal anisotropic directions” by Hugh F. Bennett]

1974 • 1 citations

Deleted Work

1955 • 0 citations

Cited By (0)

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