1.22 - Constraints on Seismic Models from Other Disciplines - Constraints from Mineral Physics on Seismological Models

Treatise on Geophysics: Volume 1-10

Volumn 1-10, Issue , 2007, Pages 775-803

  Stixrude, L ^a   Jeanloz, R ^b  

^a UNIVERSITY OF MICHIGAN   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84882826900     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1016/B978-044452748-6.00026-2     Document Type: Chapter

References (119)

1. E.H. Abramson, J.M. Brown and L.J. Slutsky (1999) Applications of impulsive stimulated scattering in the earth and planetary sciences. Annual Review of Physical Chemistry 50 279-313.
2. A. Agnon and M.S.T. Bukowinski (1990) Delta-S at high-pressure and Dlnvs/Dlnvp in the lower mantle. Geophysical Research Letters 17 1149-1152.
3. D.L. Anderson and J.W. Given (1982) Absorption-band Q model for the Earth. Journal of Geophysical Research 87 3893-3904.
4. O.L. Anderson (1995) Equations of State of Solids for Geophysics and Ceramic Science. Oxford, UK: Oxford University Press
5. O.L. Anderson and D.G. Isaak (1995) Elastic constants of mantle minerals at high temperature. T.J. Ahrens (Eds) Mineral Physics and Crystallography: A Handbook of Physical Constants Washington, DC: American Geophysical Union 64-97.
6. N.W. Ashcroft and N.D. Mermin (1976) Solid State Physics New York: Holt Rinehart and Winston
7. G.E. Backus (1962) Long-wave elastic anisotropy produced by horizontal layering. Journal of Geophysical Research 67 4427-4440.
8. J. Badro, G. Fiquet, F. Guyot, et al. (2003) Iron partitioning in Earth’s mantle: Toward a deep lower mantle discontinuity. Science 300 789-791.
9. J. Badro, J.-P. Rueff, G. Vanko, G. Monaco, G.A. Fiquet and F. Guyot (2004) Electronic transitions in perovskite: Possible nonconvecting layers in the lower mantle. Science 305 383-386.
10. T.H.K. Barron, W.T. Berg and J.A. Morrison (1957) The thermal properties of alkali halide crystals. 2. Analysis of experimental results. Proceedings of the Royal Society of London Series A, Mathematical and Physical Sciences 242 478-492.
11. J.G. Berryman (1995) Mixture theories for rock properties. T.J. Ahrens (Eds) Rock Physics and Phase Relations: A Handbook of Physical Constants Washington, DC: American Geophysical Union 205-228.
12. D.K. Blackman, J.M. Kendall, P.R. Dawson, H.-R. Wenk, D. Boyce and J.P. Morgan (1996) Teleseismic imaging of subaxial flow at mid-ocean ridges: Traveltime effects of anisotropic mineral texture in the mantle. Geophysical Journal International 127 415-426.
13. M. Born and K. Huang (1954) Dynamical Theory of Crystal Lattices Oxford, UK: Clarendon Press
14. R.N. Bracewell (1999) The Fourier Transform and Its Applications 3rd edn. New York: McGraw-Hill
15. J.M. Brown and R.G. McQueen (1986) Phase transitions, Grüneisen parameter, and elasticity for shocked iron between 77GPa and 400GPa. Journal of Geophysical Research 91 7485-7494.
16. J.M. Brown, L.J. Slutsky, K.A. Nelson and L.-T. Cheng (1989) Single-crystal elastic-constants for San Carlos Peridot - An application of impulsive stimulated scattering. Journal of Geophysical Research-Solid Earth and Planets 94 9485-9492.
17. D. Bruhn, N. Groebner and D.L. Kohlstedt (2000) An interconnected network of core-forming melts produced by shear deformation. Nature 403 883-886.
18. H.J. Bunge, R. Kiewel, T. Reinert and L. Fritsche (2000) Elastic properties of polycrystals - Influence of texture and stereology. Journal of The Mechanics and Physics of Solids 48 29-66.
19. F. Cammarano, S. Goes, P. Vacher and D. Giardini (2003) Inferring upper-mantle temperatures from seismic velocities. Physics of the Earth and Planetary Interiors 138 197-222.
20. Y.B. Chastel, P.R. Dawson, H.-R. Wenk and K. Bennett (1993) Anisotropic convection with implications for the upper-mantle. Journal of Geophysical Research, Solid Earth 98 17757-17771.
21. A. Chopelas and R. Boehler (1989) Thermal-expansion measurements at very high-pressure, systematics, and a case for a chemically homogeneous mantle. Geophysical Research Letters 16 1347-1350.
22. R.F. Cooper (2002) Seismic wave attenuation: Energy dissipation in viscoelastic crystalline solids. S. Karato, H.-R. Wenk (Eds) Plastic Deformation of Minerals and Rocks Washington, DC: American Mineralogical Society 253-290.
23. P. Cordier (2002) Dislocations and slip systems of mantle minerals. S. Karato, H.-R. Wenk (Eds) Plastic Deformation of Minerals and Rocks Washington, DC: American Mineralogical Society 137-179.
24. G.F. Davies (1974) Effective elastic-moduli under hydrostatic stress.1. Quasi-harmonic theory. Journal of Physics and Chemistry of Solids 35 1513-1520.
25. F. Deschamps and J. Trampert (2003) Mantle tomography and its relation to temperature and composition. Physics of the Earth and Planetary Interiors 140 277-291.
26. M.T. Dove (1993) Introduction to Lattice Dynamics Cambridge, UK: Cambridge University Press
27. T.S. Duffy and T.J. Ahrens (1992) Sound velocities at high-pressure and temperature and their geophysical implications. Journal of Geophysical Research-Solid Earth 97 4503-4520.
28. T.S. Duffy and D.L. Anderson (1989) Seismic Velocities in Mantle Minerals and the Mineralogy of the Upper Mantle. Journal of Geophysical Research - Solid Earth and Planets 94 1895-1912.
29. T.S. Duffy, C.S. Zha, R.T. Downs, H.K. Mao and R.J. Hemley (1995) Elasticity of Forsterite to 16GPa and the composition of the upper-mantle. Nature 378 170-173.
30. A.M. Dziewonski and D.L. Anderson (1981) Preliminary reference earth model. Physics of the Earth and Planetary Interiors 25 297-356.
31. U.H. Faul, J.D. Fitz Gerald and I. Jackson (2004) Shear wave attenuation and dispersion in melt-bearing olivine polycrystals: 2. Microstructural interpretation and seismological implications. Journal of Geophysical Research-Solid Earth 109 N6.
32. U.H. Faul and I. Jackson (2005) The seismological signature of temperature and grain size variations in the upper mantle. Earth and Planetary Science Letters 234 119-134.
33. A. Frankel and R.W. Clayton (1986) Finite-difference simulations of seismic scattering - implications for the propagation of short-period seismic-waves in the crust and models of crustal heterogeneity. Journal of Geophysical Research-Solid Earth and Planets 91 6465-6489.
34. D.J. Frost, C. Liebske, F. Langenhorst, C.A. McCammon, R.G. Trønnes and D.C. Rubie (2004) Experimental evidence for the existence of iron-rich metal in the Earth’s lower mantle. Nature 428 409-412.
35. J.H. Gieske and G.R. Barsch (1968) Pressure dependence of elastic constants of single crystalline aluminum oxide. Physica Status Solidi 29 121-131.
36. P. Gillet, F. Guyot and Y. Wang (1996) Microscopic anharmonicity and equation of state of MgSiO3 - Perovskite. Geophysical Research Letters 23 3043-3046.
37. S. Goes, R. Govers and P. Vacher (2000) Shallow mantle temperatures under Europe from P and S wave tomography. Journal of Geophysical Research-Solid Earth 105 11153-11169.
38. T.I. Goto, I. Ohno and Y. Sumino (1976) The determination of the elastic constants of natural almandine-pyrope garnet by rectangular parallelepiped resonance method. Journal of Physics of the Earth 24 149-156.
39. T.T. Gribb and R.F. Cooper (1998) Low-frequency shear attenuation in polycrystalline olivine: Grain boundary diffusion and the physical significance of the Andrade model for visco-elastic rheology. Journal of Geophysical Research-Solid Earth 103 27267-27279.
40. Z. Hashin and S. Shtrikman (1962) A variational approach to the theory of the elastic behavior of polycrystals. Journal of the Mechanics and Physics of Solids 10 343-352.
41. Z. Hashin and S. Shtrikman (1963) A variational approach to the theory of the elastic behaviour of multiphase materials. Journal of the Mechanics and Physics of Solids 11 127-140.
42. R.M. Hazen, R.T. Downs and L.W. Finger (1996) High-pressure crystal chemistry of LiScSiO4: An olivine with nearly isotropic compression. American Mineralogist 81 327-334.
43. M.A.H. Hedlin, M.S. Peter and S.E. Paul (1997) Seismic evidence for small-scale heterogeneity throughout the Earth’s mantle. Nature 387 145-150.
44. D. Heinz, R. Jeanloz and R.J. O’Connell (1982) Bulk attenuation in a polycrystalline earth. Journal of Geophysical Research 87 7772-7778.
45. K. Helbig (1984) Foundations of Anisotropy for Exploration Seismics New York: Pergamon
46. R. Hill (1952) The elastic behaviour of a crystalline aggregate. Proceedings of the Physical Society of London Section A 65 349-355.
47. R. Hill (1963) Elastic properties of reinforced solids - Some theoretical principles. Journal of the Mechanics and Physics of Solids 11 357-372.
48. T.J.B. Holland and R. Powell (1998) An internally consistent thermodynamic data set for phases of petrological interest. Journal of Metamorphic Geology 16 309-343.
49. D.G. Isaak, O.L. Anderson and R.E. Cohen (1992) The relationship between shear and compressional velocities at high pressures: Reconciliation of seismic tomography and mineral physics. Geophysical Research Letters 19 741-744.
50. D.G. Isaak, R.E. Cohen and M.J. Mehl (1990) Calculated elastic constants and thermal properties of MgO at high pressures and temperatures. Journal of Geophysical Research 95 7055-7067.
51. J. Ita and L. Stixrude (1992) Petrology, elasticity, and composition of the mantle transition zone. Journal of Geophysical Research-Solid Earth 97 6849-6866.
52. D.D. Jackson and D.L. Anderson (1970) Physical mechanisms of seismic-wave attenuation. Reviews of Geophysics and Space Physics 8 1.
53. I. Jackson (2000) Geophysics - Taking the earth’s temperature. Nature 406 470-471.
54. I. Jackson, U.H. Faul, J.D. Fitz Gerald, D. John and B.H. Tan (2004) Shear wave attenuation and dispersion in melt-bearing olivine polycrystals: 1. Specimen fabrication and mechanical testing. Journal of Geophysical Research-Solid Earth 109 N(6).
55. I. Jackson, J.D. Fitz Gerald, U.H. Faul and B.H. Tan (2002) Grain-size-sensitive seismic wave attenuation in polycrystalline olivine. Journal of Geophysical Research-Solid Earth 107 N12.
56. I. Jackson and H. Niesler (1982) The elasticity of periclase to 3GPa and some geophysical implications. S. Akimoto, M.H. Manghnani (Eds) High-pressure Research in Geophysics Tokyo, Japan: Center for Academic Publications 93-133.
57. J.M. Jackson, S.V. Sinogeikin and J.D. Bass (2000) Sound velocities and elastic properties of gamma-Mg2SiO4 to 873K by Brillouin spectroscopy. American Mineralogist 85 296-303.
58. R. Jeanloz and F.M. Thompson (1983) Phase transitions and mantle discontinuities. Reviews of Geophysics 21 51-74.
59. Jiang, S. Speziale and T.S. Duffy (2004) Single-crystal elasticity of grossular - and almandine-rich garnets to 11GPa by Brillouin scattering. Journal of Geophysical Research-Solid Earth 109 N10.
60. W. Juanzemis (1967) Continuum Mechanics New York: MacMillan
61. S. Karato (1993) Importance of anelasticity in the interpretation of seismic tomography. Geophysics Research Letters 20 1623-1626.
62. S.-I. Karato (1998) Seismic anisotropy in the deep mantle, boundary layers and the geometry of mantle convection. Pure and Applied Geophysics 151 565-587.
63. B.B. Karki and J. Crain (1998) First-principles determination of elastic properties of CaSiO3 perovskite at lower mantle pressures. Geophysical Research Letters 25 2741-2744.
64. B.B. Karki, L. Stixrude, S.J. Clark, M.C. Warren, G.J. Ackland and J. Crain (1997) Elastic Properties of orthorhombic MgSiO3 perovskite at lower mantle pressures. American Mineralogist 82 635-638.
65. B.B. Karki, L. Stixrude, S.J. Clark, M.C. Warren, G.J. Ackland and J. Crain (1997) Structure and elasticity of MgO at high pressure. American Mineralogist 82 51-60.
66. B.B. Karki, B.B. Karki, L. Stixrude and R.M. Wentzcovitch (2001) High-pressure elastic properties of major materials of Earth’s mantle from first principles. Reviews of Geophysics 39 507-534.
67. B.L.N. Kennett and E.R. Engdahl (1991) Traveltimes for global earthquake location and phase identification. Geophysical Journal International 105 429-465.
68. B. Kiefer, L. Stixrude and R.M. Wentzcovitch (1997) Elastic constants and anisotropy of Mg2SiO4 spinel at high pressure. Geophysical Research Letters 24 2841-2844.
69. S.W. Kieffer (1979) Thermodyanamics and lattice vibrations of minerals, I: mineral heat capacities and their relationship to simple lattice vibrational modes. Reviews of Geophysics and Space Physics 17 1-19.
70. S.W. Kieffer (1980) Thermodynamics and lattice-vibrations of minerals 4. Application to chain and sheet silicates and orthosilicates. Reviews of Geophysics 18 862-886.
71. A.M. Kosevich, E.M. Lifshitz, L.D. Landau and L.P. Pitaevskii (1986) Theory of Elasticity 3rd edn. Oxford, UK: Butterworth-Heinemann 195pp
72. B.S. Li, J. Kung and R.C. Liebermann (2004) Modern techniques in measuring elasticity of Earth materials at high pressure and high temperature using ultrasonic interferometry in conjunction with synchrotron x-radiation in multi-anvil apparatus. Physics of the Earth and Planetary Interiors 143 559-574.
73. J.F. Lin, V.V. Struzhkin, S.D. Jacobsen, et al. (2005) Spin transition of iron in magnesiowustite in the Earth’s lower mantle. Nature 436 377-380.
74. J. Liu, G. Chen, G.D. Gwanmesia and R.C. Liebermann (2000) Elastic wave velocities of pyrope-majorite garnets (Py(62)Mj(38) and Py(50)Mj(50)) to 9GPa. Physics of the Earth and Planetary Interiors 120 153-163.
75. D. Mainprice, T. Andréa, C. Hélène, C. Patrick and J.F. Daniel (2005) Pressure sensitivity of olivine slip systems and seismic anisotropy of Earth’s upper mantle. Nature 433 731-733.
76. E. Mattern, J. Matas, Y. Ricard and J. Bass (2005) Lower mantle composition and temperature from mineral physics and thermodynamic modelling. Geophysical Journal International 160 973-990.
77. R.G. Mcqueen, S.P. Marsh, J.W. Taylor, J.N. Fritz and W.J. Carter (1970) The equation of state of solids from shock wave studies. R. Kinslow (Eds) High-velocity Impact Phenomena New York, NY: Academic Press 293-417.
78. S. Mei and D.L. Kohlstedt (2000) Influence of water on plastic deformation of olivine aggregates 1. Diffusion creep regime. Journal of Geophysical Research-Solid Earth 105 21457-21469.
79. S. Mei and D.L. Kohlstedt (2000) Influence of water on plastic deformation of olivine aggregates 2. Dislocation creep regime. Journal of Geophysical Research - Solid Earth 105 21471-21481.
80. S. Merkel, A.F. Goncharov, H.K. Mao, P. Gillet and R.J. Hemley (2000) Raman spectroscopy of iron to 152 gigapascals: Implications for Earth’s inner core. Science 288 1626-1629.
81. M. Murakami, S.U. Sinogeikin, H. Hellwig, J.D. Bass and J. Li (2006) Sound velocity of MgSiO3 perovksite to Mbar pressure. Earth and Planetary Science Letters 256 47-54.
82. A.S. Nowick and B.S. Berry (1972) Anelastic Relaxation in Crystalline Solids New York and London: Academic Press
83. J.F. Nye (1985) Physical Properties of Crystals: Their Representation by Tensors and Matrices 2 edn. Oxford, UK: Oxford University Press
84. A.R. Oganov, M.J. Gillan and G.D. Price (2003) Ab initio lattice dynamics and structural stability of MgO. Journal of Chemical Physics 118 10174-10182.
85. M.P. Pasternak, R.D. Taylor, R. Jeanloz, X. Li, J.H. Nguyen and C.A. Mccammon (1997) High pressure collapse of magnetism in Fe0.94O: Mossbauer spectroscopy beyond 100GPa. Physical Review Letters 79 5046-5049.
86. N.M. Ribe (1989) Seismic Anisotropy and Mantle Flow. Journal of Geophysical Research-Solid Earth and Planets 94 4213-4223.
87. S.M. Rigden, I.N.S. Jackson, H. Niesler, R.C. Liebermann and A.E. Ringwood (1991) Spinel elasticity and seismic structure of the transition zone of the mantle. Nature 354 143-145.
88. M.L. Rivers and I.S.E. Carmichael (1987) Ultrasonic studies of silicate melts. Journal of Geophysical Research - Solid Earth and Planets 92 9247-9270.
89. R.A. Robie and B.S. Hemingway (1995) Thermodynamic Properties of Minerals and Related Substances at 298.15K and 1 Bar (105 Pascals) Pressure and at Higher Temperature Washington, DC: US Geological Survey 461pp
90. N.M. Shapiro and M.H. Ritzwoller (2004) Thermodynamic constraints on seismic inversions. Geophysical Journal International 157 1175-1188.
91. S.H. Shim, R. Jeanloz and T.S. Duffy (2002) Tetragonal structure of CaSiO3 perovskite above 20GPa. Geophysical Research Letters 29 1399.
92. S.V. Sinogeikin and J.D. Bass (2000) Single-crystal elasticity of pyrope and MgO to 20GPa by Brillouin scattering in the diamond cell. Physics of the Earth and Planetary Interiors 120 43-62.
93. S.V. Sinogeikin and J.D. Bass (2002) Elasticity of Majorite and a Majorite-Pyrope solid solution to high pressure: Implications for the transition zone. Geophysical Research Letters 29(2), 1017. 10.1029/2001GL013937
94. S.V. Sinogeikin, D.L. Lakshtanov, J.D. Nicholas and J.D. Bass (2004) Sound velocity measurements on laser-heated MgO and Al2O3. Physics of the Earth and Planetary Interiors 143 575-586.
95. H. Spetzler (1970) Equation of state of polycrystalline and single-crystal Mgo to 8 kilobars and 800 degrees K. Journal of Geophysical Research 75 2073-2087.
96. S. Speziale, S.F. Jiang and T.S. Duffy (2005) Compositional dependence of the elastic wave velocities of mantle minerals: Implications for seismic properties of mantle rocks. Hilst Vander, J.D. Bass, J. Matas, J. Trampert (Eds) Earth’s Deep Mantle: Structure, Composition, and Evolution Washington, DC: American Geophysical Union 301-320.
97. S. Speziale, A. Milner, V.E. Lee, S.M. Clark, M.P. Pasternak and R. Jeanloz (2005) Iron spin transition in Earth’s mantle. Proceedings of the National Academy of Sciences of the United States of America 102 17918-17922.
98. S. Speziale, C.-S. Zha, T.S. Duffy, R.J. Hemley and H.-K. Mao (2001) Quasi-hydrostatic compression of magnesium oxide to 52GPa: Implications for the pressure-volume-temperature equation of state. Journal of Geophysical Research-Solid Earth 106 515-528.
99. L. Stixrude (1998) Elastic constants and anisotropy of MgSiO3 perovskite, periclase, and SiO2 at high pressure. M. Gurnis, M. Wysession, E. Knittle, B. Buffet (Eds) The Core-Mantle Boundary Region Washington, DC: American Geophysical Union 83-96.
100. L. Stixrude, R.E. Cohen and D.J. Singh (1994) Iron at high pressure: Linearized augmented plane wave calculations in the generalized gradient approximation. Physical Review B 50 6442-6445.
101. L. Stixrude, R.E. Cohen, R. Yu and H. Krakauer (1996) Prediction of phase transition in CaSiO3 perovskite and implications for lower mantle structure. American Mineralogist 81 1293-1296.
102. L. Stixrude, R.J. Hemley, Y. Fei and H.K. Mao (1992) Thermoelasticity of silicate perovskite and magnesiowustite and stratification of the earth’s mantle. Science 257 1099-1101.
103. L. Stixrude and C. Lithgow-Bertelloni (2005) Mineralogy and elasticity of the oceanic upper mantle: Origin of the low-velocity zone. Journal of Geophysical Research-Solid Earth 110 B03204. 10.1029/2004JB002965
104. L. Stixrude and C. Lithgow-Bertelloni (2005) Thermodynamics of mantle minerals - I. Physical properties. Geophysical Journal International 162 610-632.
105. L. Stixrude, C. Lithgow-Bertelloni, B. Kieter and P. Fumagaelli (2007) Phase stability and shear softening in CaSiO3 perovskite at high pressure. Physical Review B 75 024108.
106. J. Trampert, P. Vacher and N. Vlaar (2001) Sensitivities of seismic velocities to temperature, pressure and composition in the lower mantle. Physics of the Earth and Planetary Interiors 124 255-267.
107. P. Vacher, A. Mocquet and C. Sotin (1998) Computation of seismic profiles from mineral physics: The importance of the non-olivine components for explaining the 660km depth discontinuity. Physics of the Earth and Planetary Interiors 106 275-298.
108. D.C. Wallace (1972) Thermodynamics of Crystals 1st edn. New York: Wiley
109. J.P. Watt (1988) Elastic properties of polycrystalline minerals - Comparison of theory and experiment. Physics and Chemistry of Minerals 15 579-587.
110. J.P. Watt, G.F. Davies and R.J. O’Connell (1976) The elastic properties of composite materials. Reviews of Geophysics and Space Physics 14 541-563.
111. D.J. Weidner, J. Bass, A.E. Ringwood and W. Sinclair (1982) The single-crystal elastic moduli of stishovite. Journal of Geophysical Research 87 4740-4746.
112. J.H. Weiner (1983) Statistical Mechanics of Elasticity New York: Wiley 439pp
113. R.M. Wentzcovitch, B.B. Karki, M. Cococcioni and S. Gironcoli de (2004) Thermoelastic properties of MgSiO3-perovskite: Insights on the nature of the Earth’s lower mantle. Physical Review Letters 92(1), 018501.
114. R.M. Wentzcovitch and L. Stixrude (1997) Crystal chemistry of forsterite: A first principles study. American Mineralogist 82 663-671.
115. Q. Williams (1995) Infrared, Raman and optical spectroscopy of earth materials. T.J. Ahrens (Eds) Mineral Physics and Crystallography A Handbook of Physical Constants Washington, DC: American Geophysical Union
116. Q. Williams and E.J. Garnero (1996) Seismic evidence for partial melt at the base of Earth’s mantle. Science 273 1528.
117. R.K. Workman and S.R. Hart (2005) Major and trace element composition of the depleted MORB mantle (DMM). Earth and Planetary Science Letters 231 53-72.
118. A. Yoneda (1990) Pressure derivatives of elastic-constants of single-crystal MgO and MgAl2O4. Journal of Physics of the Earth 38 19-55.
119. J.M. Zaug, E.H. Abramson, J.M. Brown and L.J. Slutsky (1993) Sound velocities in olivine at Earth mantle pressures. Science 260 1487-1489.