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(ϖμ/ϖT) P of the lower mantle

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Abstract

We estimate (ϖμ/ϖT) P of the lower mantle at seismic frequencies using two distinct approaches by combining ambient laboratory measurements on lower mantle minerals with seismic data. In the first approach, an upper bound is estimated for |(ϖμ/ϖT) P | by comparing the shear modulus (μ) profile of PREM with laboratory room-temperature data of μ extrapolated to high pressures. The second approach employs a seismic tomography constraint (ϖ lnV S /ϖ lnV P ) P =1.8–2, which directly relates (ϖμ/ϖT) P with (ϖK S /ϖT) P . An average (ϖK S /ϖT) P can be obtained by comparing the well-established room-temperature compression data for lower mantle minerals with theK S profile of PREM along several possible adiabats. Both (ϖK S /ϖT) and (ϖμ/ϖT) depend on silicon content [or (Mg+Fe)/Sil of the model. For various compositions, the two approaches predict rather distinct (ϖμ/ϖT) P vs. (ϖK S /ϖT) P curves, which intersect at a composition similar to pyrolite with (ϖμ/ϖT) P =−0.02 to −0.035 and (ϖK S /ϖT) P =−0.015 to −0.020 GPa/K. The pure perovskite model, on the other hand, yields grossly inconsistent results using the two approaches. We conclude that both vertical and lateral variations in seismic velocities are consistent with variation due to pressure, temperature, and phase transformations of a uniform composition. Additional physical properties of a pyrolite lower mantle are further predicted. Lateral temperature variations are predicted to be about 100–250 K, and the ratio of (ϖ lnp/ϖ lnV S ) P around 0.13 and 0.26. All of these parameters increase slightly with depth if the ratio of (ϖ lnV S /ϖ lnV P ) P remains constant throughout the lower mantle. These predicted values are in excellent agreement with geodynamic analyses, in which the ratios (ϖ ln ϱ/ϖ lnV S ) P and (ϖ ϱ/ϖ lnV S ) P are free parameters arbitrarily adjusted to fit the tomography and geoid data.

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References

  • Ahmed-Zaïd, I., andMadon, M. (1991),A High-pressure Form of Al 2 SiO 5 as a Possible Host of Aluminium in the Lower Mantle, Nature353, 426–428.

    Google Scholar 

  • Anderson, D. L. (1987),A Seismic Equation of State II. Shear Properties and Thermodynamics of the Lower Mantle, Phys. Earth Planet. Int45, 307–323.

    Google Scholar 

  • Anderson, D. L. (1989),Composition of the Earth, Science243, 367–370.

    Google Scholar 

  • Anderson, O. L., Isaak, D., andOda, H. (1992),High-temperature Elastic Constant Data on Minerals Relevant to Geophysics, Rev. Geophys.30, 57–90.

    Google Scholar 

  • Agnon, A., andBukowinski, M. S. T. (1990), 547-1at High Pressure and d lnV s /d lnV P in the Lower Mantle, Geophys. Res. Lett.,17, 1149–1152.

    Google Scholar 

  • Akaogi, M., andIto, E. (1993),Heat Capacity of MgSiO 3 Perovskite, Geophys. Res. Lett.20, 105–108.

    Google Scholar 

  • Brown, J. M., andShankland, T. J. (1981),Thermodynamic Parameters in the Earth's Mantle as Determined from Seismic Profiles, Geophys. J. Roy. Astr. Soc.66, 579–596.

    Google Scholar 

  • Butler, R., andAnderson, D. L. (1978),Equation of State Fits to the Lower Mantle and Outer Core, Phys. Earth Planet. Int.17, 147–162.

    Google Scholar 

  • Chopelas, A. (1992),Sound Velocities of MgO to very High Compression, Earth Planet. Sci. Lett.114, 185–192.

    Google Scholar 

  • Davies, G. F., andDziewonski, A. M. (1975),Homogeneity and Constitution of the Earth's Lower Mantle and Core, Phys. Earth Planet Int.10, 336–343.

    Google Scholar 

  • Duffy, T. S., andAhrens, T. J.,Lateral variations in lower mantle seismic velocity. InHigh-pressure Research: Application to Earth and Planetary Sciences (Syono, Y., and Manghanani, M. H., eds.) (AGU, Washington, D.C. 1992) pp. 197–205.

    Google Scholar 

  • Dziewonski, A. M., andAnderson, D. L. (1981),Preliminary Reference Earth Model, Phys. Earth Planet. Int.25, 297–356.

    Google Scholar 

  • Dziewonski, A. M. (1993),Tomographic Image of the Earth's Interior: A Review, EOS, Trans. AGU74, 572.

    Google Scholar 

  • Dziewonski, A. M., Forte, A. M., Su, W. J., andWoodward, R. L.,Seismic tomography and geodynamics. InRelating Geophysical Structures and Processes. The Jeffreys Volume (Aki, K., and Dmowska, R., eds. IUGG, vol. 16) (AGU, Washington, D.C. 1993) pp. 67–105.

    Google Scholar 

  • Fei, Y., Mao, H. K., Shu, J., andHu, J. (1992),P-V-T Equation of State of Magnesiowüstite (Mg 0.6 Fe 0.4 )O, Phys. Chem. Minerals18, 416–422.

    Google Scholar 

  • Fitz Gerald, J. D., andRingwood, A. E. (1991),High Pressure Rhombohedral Perovskite Phase Ca 2 AlSiO 5.5 . Phys. Chem. Minerals18, 40–46.

    Google Scholar 

  • Forte, A. M., Dziewonski, A. M., andWoodward, R. J.,Aspherical structure of the mantle, tectonic plate motions, nonhydrostatic geoid, and tomography of the core-mantle boundary. InDynamics of Earth's Deep Interior and Earth Rotation, IUGG vol. 12 (LeMouel, J. L., Smylie, D. E., and Herring, T., eds.) (AGU, Washington, D.C. 1993) pp. 135–166.

    Google Scholar 

  • Gasparik, T. (1990),Phase Relation in the Transition Zone, J. Geophys. Res.95, 15751–15769.

    Google Scholar 

  • Goto, T., Ohno, I., andSumino, Y. (1976),The Determination of the Elastic Constants of Natural Almandine-pyrope Garnet by Rectangular Parallelepiped Resonance Method, J. Phys. Earth24, 149–156.

    Google Scholar 

  • Hager, B. H., andClayton, R. W.,Constraints on the structure of mantle convectiori using seismic observations, flow models, and the geoid. InMantle Convection (Peltier, W. R., ed.) (Gordon and Breach Science Publishers 1989) pp. 657–763.

  • Hager, B. H., andRichards, M. A. (1989),Long-wavelength Variations in Earth's Geoid: Physical Models and Dynamics Implications, Phil. Trans. Roy. Soc. Lond.A328, 309–327.

    Google Scholar 

  • Hemley, R. J., Stixrude, L., Fei, Y., andMao, H. K.,Constraints on lower mantle composition from P-V-T measurements of (Fe, Mg)SiO 3 perovskite and (Fe, Mg)O. InHigh-pressure Research: Application to Earth and Planetary Sciences (Syono, Y., and Manghnani, M. H., eds.) (AGU, Washington, D.C. 1992) pp. 183–189.

    Google Scholar 

  • Irifune, T., Fujino, K., andOhtani, E. (1991),A New High-pressure Form of MgAl 2 O 4 , Nature349, 409–411.

    Google Scholar 

  • Irifune, T. (1994),Absence of an Aluminous Phase in the Upper Part of the Earth's Lower Mantle, Nature370, 131–133.

    Google Scholar 

  • Isaak, D. G., Anderson, O. L., andCohen, R. E. (1992),The Relationship between Shear and Compressional Velocities at High Pressures: Reconciliation of Seismic Tomography and Mineral Physics, Geophys. Res. Lett.19, 741–744.

    Google Scholar 

  • Ito, E., andMatsui, Y. (1978),Synthesis and Crystal Chemical Characterization of MgSiO 3 Perovskite, Earth Planet. Sci. Lett.38, 443–450.

    Google Scholar 

  • Jackson, I., andNesler, H.,The elasticity of periclase to 3 GPa and some geophysical implications. InHigh Pressure Research in Geophysics (Akimoto, S., and Manghnani, M. H., eds.) (Center for Academic Publications, Tokyo 1982) pp. 93–113.

    Google Scholar 

  • Jeanloz, R., andKnittle, E.,Reduction of mantle and core properties to a standard state by adiabatic decompression. In:Chemistry and Physics of Terrestrial Planets (Saxena, S. K., ed.) (Springer-Verlag, New York 1986) pp. 275–309.

    Google Scholar 

  • Karato, S. (1993),Importance of Anelasticity in the Interpretation of Seismic Tomography, Geophys. Res. Lett.20, 1623–1626.

    Google Scholar 

  • Knittle, E., andJeanloz, R. (1987),Synthesis and Equation of State of (Mg, Fe)SiO 3 Perovskite to over 100 Gigapascals, Science255, 1238–1240.

    Google Scholar 

  • Liu, L. G. (1975),Post-oxide Phases of Forsterite and Enstatite, Geophys. Res. Lett.2, 417–419.

    Google Scholar 

  • Liu, L. G., andRingwood, A. E. (1975),Synthesis of a Perovskite-type Polymorph of CaSiO 3 , Earth Planet. Sci. Lett.14, 1079–1082.

    Google Scholar 

  • Madon, M., Castex, J., andPeyronneau, J. (1989),A New Aluminocalcic High-pressure Phase as a Possible Host of Calcium and Aluminium in the Lower Mantle, Nature342, 422–425.

    Google Scholar 

  • Mao, H. K., Chen, L., Hemley, R. J., Jephcoat, A. P., andWu, Y. (1989),Stability and Equation of State of CaSiO 3 Perovskite to 134 GPa, J. Geophys. Res.94, 17889–17894.

    Google Scholar 

  • Mao, H. K., Hemley, R. J., Fei, Y., Shu, J. F., Chen, C., Jephcoat, A. P., Wu, Y., andBassett, W. A. (1991),Effect of Pressure, Temperature and Composition on Lattice Parameters and Density of (Fe, Mg)SiO 3 Perovskites to 30 GPa. J. Geophys. Res.96, 8069–8079.

    Google Scholar 

  • Poirier, J. P. Introduction to the Physics of the Earth's Interior (Cambridge University, Cambridge 1991).

    Google Scholar 

  • Ringwood, A. E., andMajor, A. (1917),Synthesis of Majorite and Other High Pressure Garnets and Perovskites, Earth Planet. Sci. Lett.12, 411–418.

    Google Scholar 

  • Sammis, C., Anderson, D. L., andJordan, T. (1975),Application of Isotropic Finite Strain Theory to Ultrasonic and Seismological Data, J. Geophys. Res.75, 4478–4480.

    Google Scholar 

  • Spetzler, H. (1970),Equation of State of Polycrystalline and Single-crystal MgO to 8 Kilobars and 800 K, J. Geophys. Res.75, 2073–2087.

    Google Scholar 

  • Stixrude, L., Hemley, R. J., Fei, Y., andMao, H. K. (1992),Thermoelasticity of Silicate Perovskite and Magnesiowüstite and Stratification of the Earth's Mantle, Science251, 410–413.

    Google Scholar 

  • Su, W. J., andDziewonski, A. M. (1994),Joint 3-D conversion for P and S Velocity in the Mantle, EOS, Trans. AGU74, 557.

    Google Scholar 

  • Sumino, Y., andAnderson, O. L.,Elastic constants of minerals. InHandbook of Physical Properties of Rocks, vol III (Carmichael, R. S., ed.) (CRC Press, Florida 1984) pp. 39–138.

    Google Scholar 

  • Wang, Y., Weidner, D. J., Liebermann, R. C., andZhao, Y. (1994),P-V-T Equation of State of (Mg, Fe)SiO 3 Perovskite: Constraints on Composition of the Lower Mantle, Phys. Earth Planet. Int.83, 13–40.

    Google Scholar 

  • Weidner, D. J., Wang, Y., andYeganeh-Haeri, A. (1993),Equation of State Properties of Mantle Perovskites, EOS, Trans. AGU74, 571.

    Google Scholar 

  • Weng, K., Mao, H. K., andBell, P. M. (1982),Lattice Parameters of the Perovskite Phase in the System MgSiO 3 −CaSiO 3 −Al 2 O 3 , Carnegie Institute of Washington Yearbook81, 273–277.

    Google Scholar 

  • Woodhouse, J. H., andDziewonski, A. M. (1989),Seismic Modeling of the Earth's Large-scale Three-dimensional Structure, Phil. Trans. Roy. Soc. Lond.A328, 291–303.

    Google Scholar 

  • Woodhouse, J. H., Dziewonski, A. M. Giardini, D., Li, X. D., andMorelli, A. (1987),The Emerging Three-dimensional Structure of the Earth: Results from the Modeling of Wave Forms, Free Oscillation Spectra and Seismic Travel Times, EOS. Trans. AGU68, 356.

    Google Scholar 

  • Yagi, T., Funamori, N., andUtsumi, W. (1993),Stability and Thermal Expansion of Orthorhombic Perovskite Type MgSiO 3 under Lower Mantle Condition, EOS, Trans. AGU74, 571–572.

    Google Scholar 

  • Yeganeh-Haeri, A., Weidner, D. J., andIto, E. (1989a),Elasticity of MgSiO 3 in the Perovskite Structure, Science243, 787–789.

    Google Scholar 

  • Yeganeh-Haeri, A., Weidner, D. J., andLiebermann, R. C. (1989b),High Temperature Brillouin Spectroscopy, EOS, Trans. AGU70, 474.

    Google Scholar 

  • Yeganah-Haeri, A. (1994),Synthesis and Re-investigation of the Elastic Properties of Single-crystal Magnesium Silicate Perovskite, Phys. Earth Planet. Int.87, 111–121.

    Google Scholar 

  • Yuen, D. A., Cadek, O., Chopelas, A., andMatyska, C. (1993),Geophysical Inferences of Thermal-chemical Structures in the Lower Mantle, Geophys. Res. Lett.20, 899–902.

    Google Scholar 

  • Yusa, H., Yagi, T., Yamanaka, M., Takemura, K., andShimomura,A new non-quenchable high-pressure polymorph of Ca 3 Al 2 Si 3 O 12 (abstract in Japanese). InThe 34th Japanese High Pressure Conference, Programs and Abstracts, Special Issue of the Review of High Pressure Science and Technology, vol. 2 (Tokyo 1993) pp. 374–375.

  • Zhao, Y., andAnderson, D. L. (1994),Mineral Physics Constraints on the Chemical Composition of the Earth's Lower Mantle. Phys. Earth Planet. Int.85, 273–292.

    Google Scholar 

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  1. Center for High Pressure Research (A National Science Foundation Sciences and Technology Center) and Department of Earth and Space Sciences, University at Stony Brook, 11794-2100, Stony Brook, NY, USA

    Yanbin Wang & Donald J. Weidner

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  1. Yanbin Wang
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Wang, Y., Weidner, D.J. (ϖμ/ϖT) P of the lower mantle. PAGEOPH 146, 533–549 (1996). https://doi.org/10.1007/BF00874732

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