• 中国出版政府奖提名奖

    中国百强科技报刊

    湖北出版政府奖

    中国高校百佳科技期刊

    中国最美期刊

    留言板

    尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

    姓名
    邮箱
    手机号码
    标题
    留言内容
    验证码

    静水压力和单轴压力对后钙钛矿MgSiO3中地震波速的影响

    何开华 陈琦丽 王清波 王希成 高本州 姬广富

    何开华, 陈琦丽, 王清波, 王希成, 高本州, 姬广富, 2013. 静水压力和单轴压力对后钙钛矿MgSiO3中地震波速的影响. 地球科学, 38(3): 501-507. doi: 10.3799/dqkx.2013.050
    引用本文: 何开华, 陈琦丽, 王清波, 王希成, 高本州, 姬广富, 2013. 静水压力和单轴压力对后钙钛矿MgSiO3中地震波速的影响. 地球科学, 38(3): 501-507. doi: 10.3799/dqkx.2013.050
    HE Kai-hua, CHEN Qi-li, WANG Qing-bo, WANG Xi-cheng, Gao Ben-zhou, JI Guang-fu, 2013. Effects on Seismic Velocity of Post-Perovskite MgSiO3 under Hydrostatic and Uniaxial Pressure. Earth Science, 38(3): 501-507. doi: 10.3799/dqkx.2013.050
    Citation: HE Kai-hua, CHEN Qi-li, WANG Qing-bo, WANG Xi-cheng, Gao Ben-zhou, JI Guang-fu, 2013. Effects on Seismic Velocity of Post-Perovskite MgSiO3 under Hydrostatic and Uniaxial Pressure. Earth Science, 38(3): 501-507. doi: 10.3799/dqkx.2013.050

    静水压力和单轴压力对后钙钛矿MgSiO3中地震波速的影响

    doi: 10.3799/dqkx.2013.050
    基金项目: 

    国家自然科学基金项目 41104054

    详细信息
      作者简介:

      何开华(1978-), 男, 讲师, 主要从事纳米材料和矿物材料的计算模拟研究.E-mail: he23981006@126.com

    • 中图分类号: P315.3;O482.1

    Effects on Seismic Velocity of Post-Perovskite MgSiO3 under Hydrostatic and Uniaxial Pressure

    • 摘要: 后钙钛矿MgSiO3对于重新认识地球的基本结构和成分具有重大意义.采用基于密度泛函理论的第一性原理计算对后钙钛矿MgSiO3在静水压力和单轴压力下的弹性性质和地震波速特征进行了研究.首先通过总能比较和力学稳定性判据验证了后钙钛矿MgSiO3在高压下的稳定性, 并且计算得到的晶格常数与前人结果符合很好.计算表明在高压下(D"层), 后钙钛矿具有比钙钛矿大的体变模量、剪切模量及密度, 并且具有大的地震波速, 这与地震观测D"层中地震波速的不连续性一致.在静水压力作用下, 计算结果显示压缩波各向异性基本保持不变, 而剪切波各向异性增强.有单轴应力作用时, 后钙钛矿地震波各向异性差异非常明显, 当压力作用在a轴或c轴上时, 能够得到比对应静水压力下后钙钛矿更强的各向异性, 而恰好相反的是, 压缩b轴时, 各向异性有减小的趋势.本研究能为解释地幔底部地震波不连续性和横向差异提供一定的参考.

       

    • 图  1  PPv-MgSiO3结构

      Fig.  1.  Structure of PPv-MgSiO3

      图  2  Pv-与PPv-MgSiO3的焓差值(ΔH)与压力(P)的关系

      Fig.  2.  Difference of enthalpy between Pv- and PPv-MgSiO3

      图  3  Pv-与PPv-MgSiO3中晶格常数比值(b/a,c/a)与压力(P)的关系

      Fig.  3.  Pressure dependence of b/a and c/a of Pv- and PPv-MgSiO3

      图  4  体变模量(B),剪切模量(G)及密度(D)与静水压力(P)的关系

      Fig.  4.  Pressure dependence of bulk modulus, shear modulus and density

      图  5  Pv-与PPv-MgSiO3中波速(V)与压力(P)关系

      Fig.  5.  Pressure dependence of seismic velocity of Pv- and PPv-MgSiO3

      图  6  体变模量(B)和剪切模量(G)与单轴压力的关系

      Fig.  6.  Uniaxial pressure dependence of bulk modulus and shear modulus

      图  7  PPv-MgSiO3中不同传播方向压缩波波速与压力(应变)的关系

      Fig.  7.  Hydrostatic and uniaxial pressures dependence of seismic velocities of different directions

      表  1  PPv-MgSiO3在不同压力下(P)的弹性常数(单位:GPa)

      Table  1.   Elastic constants of PPv-MgSiO3 under different pressure (in GPa)

      P C11 C22 C33 C44 C55 C66 C12 C13 C23
      0 624 435 516 100 134 96 49 84 119
      120 1 290 962 1 290 300 286 415 418 325 487
      160 1 475 1 103 1 496 352 331 504 521 402 593
      下载: 导出CSV

      表  2  PPv-MgSiO3中在压力下的压缩波(Ap)和剪切波(As)的各向异性

      Table  2.   Anisotropies of seismic velocities of PPv-MgSiO3 under pressure

      Ap As
      静水压力 100 GPa 15.1% 17.6%
      180 GPa 15.1% 23.6%
      单轴压力 a/a0=0.907 6 15.65% 19.84%
      a/a0=0.877 0 40.97% 28.73%
      b/b0=0.876 0 14.62% 9.5%
      b/b0=0.836 0 13.63% 17.77%
      c/c0=0.910 4 27.11% 26.52%
      c/c0=0.882 0 29.97% 31.93%
      下载: 导出CSV
    • [1] Bengtson, A., Persson, K., Morgan, D., 2008. Ab Initio Study of the Composition Dependence of the Pressure-induced Spin Crossover in Perovskite (Mg1-x, Fex)SiO3. Earth Planet. Sci. Lett. , 265(3-4): 535-545. doi: 10.1016/j.epsl.2007.10.049
      [2] Caracas, R., Mainprice D., Thomas C., 2010. Is the Spin Transition in Fe2+-Bearing Perovskite Visible in Seismology? Geophys. Res. Lett. , 37(3): L133091- L133096. doi: 10.1029/2010GL043320
      [3] Garnero, E.J., Helmberger, D.V., 1995. A Very Slow Basal Layer Underlying Large-Scale Low-Velocity Anomalies in the Lower Mantle Beneath the Pacific: Evidence from Core Phases. Phys. Earth Planet. Int. , 91(1-3): 161-176. doi: 10.1016/0031-9201(95)03039-Y
      [4] Garnero, E.J., Maupin, V., Lay, T., et al., 2004. Variable Azimuthal Anisotropy in Earth's Lowermost Mantle. Science, 306(5694): 259-261. doi: 10.1126/science.1103411
      [5] Grand, S.P., 2002. Mantle Shear-wave Tomography and the Fate of Subducted Slabs. Phil. Trans. R. Soc. Lond. A, 360(1800): 2475-491. doi: 10.1098/rsta.2002.1077
      [6] Gu, Y.J., Dziewonski, A.M., Su W.J., et al., 2001. Models of the Mantle Shear Velocity and Discontinuities in the Pattern of Lateral Heterogeneities. J. Geophys. Res. , 106(B6): 11169-11199. doi: 10.1029/2001JB000340
      [7] Hou, W., Xie, H.S., Zhou, W.G., 2005. Lowermost Mantle Layer and Its Significance in the Earth's Material Evolution. Earth-Science Frontiers, 12(1): 37-41 (in Chinese with English abstract). http://en.cnki.com.cn/Article_en/CJFDTotal-DXQY200501004.htm
      [8] Hsu, H., Umemoto, K., Blaha, P., et al., 2010. Spin States and Hyperfine Interactions of Iron in (Mg, Fe)SiO3 Perovskite under Pressure. Earth Planet. Sci. Lett. , 294(1-2): 19-26. doi: 10.1016/j.epsl.2010.02.031
      [9] Iitaka, T., Hirose, K., Kawamura, K., et al., 2004. The Elasticity of the MgSiO3 Post-Perovskitep Phase in the Earth's Lowermost Mantle. Nature, 430(6998): 442-445. doi: 10.1038/nature02702
      [10] Kárason, H., van der Hilst, R.D., 2001. Tomographic Imaging of the Lowermost Mantle with Differential Times of Refracted and Diffracted Core Phases (PKP, Pdiff). J. Geophys. Res. , 106(B4): 6569-6587. doi: 10.1029/2000JB900380
      [11] Li, L., Brodholt, J.P., Stackhouse, S., et al., 2005. Electronic Spin State of Ferric Iron in Al-Bearing Perovskite in the Lower Mantle. Geophys. Res. Lett. , 32(17): L173071-L173074. doi: 10.1029/2005GL023045
      [12] Liu, L., Du, J.G., Zhao, J.J., et al., 2009. Elastic Properties of Hydrous Forsterites under High Pressure: First-principle Calculations. Phys. Earth Planet. Int. , 176(1-2): 89-97. doi: 10.1016/j.pepi.2009.04.004
      [13] Mao, W.L., Shen, G.Y., Prakapenka, V.B., et al., 2004. Ferromagnesian Post-Perovskite Silicates in the D" Layer of the Earth. Proc. Nat. Acad. Sci. , 101(45): 15867-15869. doi: 10.1073/pnas.0407135101
      [14] Monkhorst, H.J., Pack, J.D., 1976. Special Points for Brillouin-zone Integrations. Phys. Rev. B, 13(12): 5188-5192. doi: 10.1103/PhysRevB.13.5188
      [15] Murakami, M., Hirose, K., Kawamura, K., et al., 2004. Post-Perovskite Phase Transition in MgSiO3. Science, 304(5672): 855-858. doi: 10.1126/science.1095932
      [16] Ni, S.D., Helmberger, D.V., 2003. Seismological Constraints on the South African Superplume; Could Be the Oldest Distinct Structure on Earth. Earth Planet. Sci. Lett. , 206(1-2): 119-131. doi: 10.1016/S0012-821X(02)01072-5
      [17] Oganov, A.R., Ono, S., 2004. Theoretical and Experimental Evidence for A Post-Perovskite Phase of MgSiO3 in Earth's D" layer. Nature, 430(6998): 445-448. doi: 10.1038/nature02701
      [18] Perdew, J.P., Zunger, A., 1981. Self-interaction Correction to Density-Functional Approximations for Many-Electron Systems. Phys. Rev. B, 23(10): 5048-5079. doi: 10.1103/PhysRevB.23.5048
      [19] Rost, S., Garnero, E.J., Stefan W., 2010. Thin and Intermittent Ultralow-Velocity Zones. J. Geophys. Res. , 115(B6): B0631201-B0631212. doi: 10.1029/2009JB006981
      [20] Shim, S.H., Duffy, T.S., Jeanloz, R., et al., 2004. Stability and Crystal Structure of MgSiO3 Perovskite to the Core-mantle Boundary. Geophys. Res. Lett. , 31(10): L106031-L106035. doi: 10.1029/2004GL019639
      [21] Stackhouse, S., Brodolt, J.P., Dobson, D.P., et al., 2006. Electronic Spin Transitions and the Seismic Properties of Ferrous Iron-Bearing MgSiO3 Post-perovskite. Geophys. Res. Lett. , 33(12): L12S031- L12S034. doi: 10.1029/2005GL025589
      [22] Tang, Q.S., Li, L.H., 2006. The Earth's Lowermost Mantle and Its Seismological Research Progress. Earth Science Frontiers, 13(2): 213-223 (in Chinese with English abstract). http://en.cnki.com.cn/Article_en/CJFDTOTAL-DXQY200602024.htm
      [23] Tsuchiya, T., Tsuchiya, J., Umemoto, K., et al., 2004. Elasticity of Post-Perovskite MgSiO3. Geophys. Res. Lett. , 31(14): L146031-L146034. doi: 10.1029/2004GL020278
      [24] Vanderbilt, D., 1990. Soft Self-Consistent Pseudopotentials in a Generalized Eigenvalue Formalism. Phys. Rev. B, 41(11): 7892-7895. doi: 10.1103/PhysRevB.41.7892
      [25] Vidale, J.E., Hedlin, M.A.H., 1998. Evidence for Partial Melt at the Core-Mantle Boundary North of Tonga from the Strong Scattering of Seismic Waves. Nature, 391: 682-684. doi: 10.1038/35601
      [26] Wen, L., Helmberger, D.V., 1998. Ultra-low Velocity Zones Near the Core-Mantle Boundary from Broadband PKP Precursors. Science, 279(5357): 1701-1703. doi: 10.1126/science.279.5357.1701
      [27] Wookey, J., Stackhouse, S., Kendall, J.M., et al., 2005. Efficacy of the Post-Perovskite Phase as an Explanation for Lowermost-mantle Seismic Properties. Nature, 438(7070): 1004-1007. doi: 10.1038/nature04345
      [28] Yang, F.Q., Liu, B., Ni, S.D., et al., 2008. Shear Velocity Anisotropy of the Lowermost Mantle Beneath the Siberia. Acta Seismological Sinica, 30(2): 209-213 (in Chinese with English abstract). http://en.cnki.com.cn/Article_en/CJFDTOTAL-DZXB200802011.htm
      [29] Zhang, F.W., Oganov, A.R., 2006. Valence State and Spin Transitions of Iron in Earth's Mantle Silicates. Earth Planet. Sci. Lett. , 249(3-4): 436-443. doi: 10.1016/j.epsl.2006.07.023
      [30] Zhang, Y., Shu, L.S., 2010. On Research Achievements in Earth's D" Layer in Core-Mantle Boundary: An Important Breakthrough in 21st Experimental Petrology. Journal of Geology, 34(2): 113-116 (in Chinese with English abstract). http://en.cnki.com.cn/Article_en/CJFDTotal-JSDZ201002004.htm
      [31] Zhang, Z.J., 2002. A Review of the Seismic Anisotropy and Its Applications. Progress in Geophysics, 17(2): 281-293 (in Chinese with English abstract). http://en.cnki.com.cn/Article_en/CJFDTOTAL-DQWJ200202013.htm
      [32] Zhao, D.P., 2001. Seismic Structure and Origin of Hotspots and Mantle Plumes. Earth Planet. Sci. Lett. , 192(3): 251-265. doi: 10.1016/S0012-821X(01)00465-4
      [33] Zhu, J.S., 2000. Structure of Lower Mantle and Core-Mantle Boundary Region and Its Grodynamics. Advances in Earth Sciences, 15(2): 139-142 (in Chinese with English abstract). http://en.cnki.com.cn/Article_en/CJFDTOTAL-DXJZ200002002.htm
      [34] 侯渭, 谢鸿森, 周文戈, 2005. 地幔底层及其在全球物质演化中的意义. 地学前缘, 12(1): 37-41. doi: 10.3321/j.issn:1005-2321.2005.01.006
      [35] 唐群署, 李丽红, 2006. 核幔边界D"区的地震学研究进展. 地学前缘, 13(2): 213-223. doi: 10.3321/j.issn:1005-2321.2006.02.019
      [36] 杨凤琴, 刘斌, 倪四道, 等, 2008. 西伯利亚下地幔底部的剪切波各向异性. 地震学报, 30(2): 209-213. doi: 10.3321/j.issn:0253-3782.2008.02.010
      [37] 张苑, 舒良树, 2010.21世纪实验岩石学的重大突破——核幔边界D"层研究. 地质学刊, 34(2): 113-116. doi: 10.3969/j.issn.1674-3636.2010.02.113
      [38] 张中杰, 2002. 地震各向异性研究进展, 地球物理学进展. 17(2): 281-293. doi: 10.3969/j.issn.1004-2903.2002.02.014
      [39] 朱介寿, 2000. 下地幔及核幔边界结构及地球动力学. 地球科学进展, 15(2): 139-142. doi: 10.3321/j.issn:1001-8166.2000.02.003
    • 加载中
    图(7) / 表(2)
    计量
    • 文章访问数:  4104
    • HTML全文浏览量:  132
    • PDF下载量:  1173
    • 被引次数: 0
    出版历程
    • 收稿日期:  2012-08-25
    • 刊出日期:  2013-05-15

    目录

      /

      返回文章
      返回