Advanced Search

Indexed by SCI、CA、РЖ、PA、CSA、ZR、etc .

Volume 29 Issue 6
Nov 2018
Turn off MathJax
Article Contents
Shi-Yu Zeng, Wen-Bin Shen. Observations of the Singlets of Higher-Degree Modes Based on the OSE. Journal of Earth Science, 2018, 29(6): 1398-1408. doi: 10.1007/s12583-017-0810-0
Citation: Shi-Yu Zeng, Wen-Bin Shen. Observations of the Singlets of Higher-Degree Modes Based on the OSE. Journal of Earth Science, 2018, 29(6): 1398-1408. doi: 10.1007/s12583-017-0810-0

Observations of the Singlets of Higher-Degree Modes Based on the OSE

doi: 10.1007/s12583-017-0810-0
More Information
  • Corresponding author: Wen-Bin Shen
  • Received Date: 09 May 2017
  • Accepted Date: 16 Oct 2017
  • Publish Date: 01 Dec 2018
  • In this study, we selected 18 SG (superconducting gravimeter) records from 15 GGP stations with 99 vertical and 69 horizontal components of IRIS broad-band seismograms during 2004 Sumatra Earthquake to detect the splitting of higher-degree Earth's free oscillations modes (0S4, 0S7~0S10, 2S4, 1S5, 2S5, 1S6) and 12 inner-core sensitive modes (25S2, 27S2, 6S3, 9S3, 13S3, 15S3, 11S4, 18S4, 8S5, 11S5, 23S5, 16S6) by using OSE (optimal sequence estimation) method which only considers self-coupling. Results indicate that OSE can completely isolate singlets of high-degree modes in time-domain, effectively resolve the coupled multiplets independently, and reduce the possibility of mode mixing and end effect, showing that OSE could improve some signals' signal-to-noise ratio. Comparing the results of SG records with seismic data sets suggests that the number of SG records is inadequate to detect all singlets of higher modes. Hence we mainly selected plentiful seismograms of IRIS to observe the multiplets of higher modes. We estimate frequencies of the singlets using AR method and evaluate the measurement error using bootstrap method. Besides, we compared the observa-tions with the predictions of PREM-tidal model. This study demonstrates that OSE is effective in isolating singlets of Earth's free oscillations with higher modes. The experimental results may provide constraints to the construction of 3D Earth model.

     

  • loading
  • Buland, R., Berger, J., Gilbert, F., 1979. Observations from the IDA Network of Attenuation and Splitting during a Recent Earthquake. Nature, 277(5695):358-362. https://doi.org/10.1038/277358a0
    Chao, B. F., Ding, H., 2014. Spherical Harmonic Stacking for the Singlets of Earth's Normal Modes of Free Oscillation. Geophysical Research Letters, 41(15):5428-5435. https://doi.org/10.1002/2014gl060700
    Chao, B. F., Gilbert, F., 1980. Autoregressive Estimation of Complex Eigenfrequencies in Low Frequency Seismic Spectra. Geophysical Journal International, 63(3):641-657. https://doi.org/10.1111/j.1365-246x.1980.tb02643.x
    Courtier, N., Ducarme, B., Goodkind, J., et al., 2000. Global Supercon-ducting Gravimeter Observations and the Search for the Translational Modes of the Inner Core. Physics of the Earth and Planetary Interiors, 117(1/2/3/4):3-20. https://doi.org/10.1016/s0031-9201(99)00083-7
    Cummins, P., Wahr, J. M., Agnew, D. C., et al., 1991. Constraining Core Undertones Using Stacked IDA Gravity Records. Geophysical Journal International, 106:189-198 doi: 10.1111/j.1365-246X.1991.tb04622.x/pdf
    Dahlen, F. A., 1982. The Effect of Data Windows on the Estimation of Free Oscillation Parameters. Geophysical Journal International, 69(2):537-549. https://doi.org/10.1111/j.1365-246x.1982.tb04964.x
    Dahlen, F. A., Sailor, R. V., 1979. Rotational and Elliptical Splitting of the Free Oscillations of the Earth. Geophysical Journal International, 58(3):609-623. https://doi.org/10.1111/j.1365-246x.1979.tb04797.x
    Dahlen, F. A., Tromp, J., 1998. Theoretical Global Seismology. Princeton University, Princeton
    Deuss, A., Ritsema, J., van Heijst, H., 2013. A New Catalogue of Normal-Mode Splitting Function Measurements up to 10 MHz. Geo-physical Journal International, 193(2):920-937. https://doi.org/10.1093/gji/ggt010
    Ding, H., Chao, B. F., 2015a. Data Stacking Methods for Isolation of Normal-Mode Singlets of Earth's Free Oscillation:Extensions, Com-parisons, and Applications. Journal of Geophysical Research:Solid Earth, 120(7):5034-5050. https://doi.org/10.1002/2015jb012025
    Ding, H., Chao, B. F., 2015b. The Slichter Mode of the Earth:Revisit with Optimal Stacking and Autoregressive Methods on Full Superconducting Gravimeter Data Set. Journal of Geophysical Research:Solid Earth, 120(10):7261-7272. https://doi.org/10.1002/2015jb012203
    Ding, H., Shen, W. B., 2013a. Comparative Study of the MSE Technique and SHS Method Used for Detection of nS1 Mode Triplet. Chinese J. Geophys., 56(10):3313-3323, https://doi.org/10.6038/cjg20131008 (in Chinese with English Abstract)
    Ding, H., Shen, W. B., 2013b. Search for the Slichter Modes Based on a New Method:Optimal Sequence Estimation. Journal of Geophysical Research:Solid Earth, 118(9):5018-5029. https://doi.org/10.1002/jgrb.50344
    Dziewonski, A. M., Anderson, D. L., 1981. Preliminary Reference Earth Model. Physics of the Earth and Planetary Interiors, 25(4):297-356. https://doi.org/10.1016/0031-9201(81)90046-7
    Efron, B., Tibshirani, R., 1986. Bootstrap Methods for Standard Errors, Confidence Intervals, and Other Measures of Statistical Accuracy. Sta-tistical Science, 1(1):54-75. https://doi.org/10.1214/ss/1177013815
    Giardini, D., Li, X. D., Woodhouse, J. H., 1987. Three-Dimensional Structure of the Earth from Splitting in Free-Oscillation Spectra. Nature, 325(6103):405-411. https://doi.org/10.1038/325405a0
    Giardini, D., Li, X. D., Woodhouse, J. H., 1988. Splitting Functions of Long-Period Normal Modes of the Earth. Journal of Geophysical Re-search:Solid Earth, 93(B11):13716-13742. https://doi.org/10.1029/jb093ib11p13716
    Gilbert, F., 1971. The Diagonal Sum Rule and Averaged Eigenfrequencies. Geophysical Journal of the Royal Astronomical Society, 23(1):119-123. https://doi.org/10.1111/j.1365-246x.1971.tb01806.x
    Häfner, R., Widmer-Schnidrig, R., 2013. Signature of 3-D Density Structure in Spectra of the Spheroidal Free Oscillation 0S2. Geophysical Journal International, 192(1):285-294. https://doi.org/10.1093/gji/ggs013
    He, X., Tromp, J., 1996. Normal-Mode Constraints on the Structure of the Earth. Journal of Geophysical Research:Solid Earth, 101(B9):20053-20082. https://doi.org/10.1029/96jb01783
    Irving, J. C. E., Deuss, A., Andrews, J., 2008. Wide-Band Coupling of Earth's Normal Modes due to Anisotropic Inner Core Structure. Geo-physical Journal International, 174(3):919-929. https://doi.org/10.1111/j.1365-246x.2008.03824.x
    Kennett, B. L. N., 1998. On the Density Distribution within the Earth. Geophysical Journal International, 132(2):374-382. https://doi.org/10.1046/j.1365-246x.1998.00451.x
    Laske, G., Widmer-Schnidrig, R., 2015. Theory and Observations:Normal Mode and Surface Wave Observations. Treatise on Geophysics, 2015:117-167 http://d.old.wanfangdata.com.cn/NSTLQK/NSTL_QKJJ0228109363/
    Li, X. D., Giardini, D., Woodhouses, J. H., 1991. Large-Scale Three-Dimensional Even-Degree Structure of the Earth from Splitting of Long-Period Normal Modes. Journal of Geophysical Research, 96(B1):551-577. https://doi.org/10.1029/90jb02009
    Mäkinen, A. M., Deuss, A., Redfern, S. A. T., 2014. Anisotropy of Earth's Inner Core Intrinsic Attenuation from Seismic Normal Mode Models. Earth and Planetary Science Letters, 404:354-364. https://doi.org/10.1016/j.epsl.2014.08.009
    Masters, G., Gilbert, F., 1981. Structure of the Inner Core Inferred from Observations of Its Spheroidal Shear Modes. Geophysical Research Letters, 8(6):569-571. https://doi.org/10.1029/gl008i006p00569
    Masters, G., Gubbins, D., 2003. On the Resolution of Density within the Earth. Physics of the Earth and Planetary Interiors, 140(1/2/3):159-167. https://doi.org/10.1016/j.pepi.2003.07.008
    Masters, G., Laske, G., Gilbert, F., 2000a. Autoregressive Estimation of the Splitting Matrix of Free-Oscillation Multiplets. Geophysical Journal International, 141(1):25-42. https://doi.org/10.1046/j.1365-246x.2000.00058.x
    Masters, G., Laske, G., Gilbert, F., 2000b. Matrix Autoregressive Analysis of Free-Oscillation Coupling and Splitting. Geophysical Journal In-ternational, 143(2):478-489. https://doi.org/10.1046/j.1365-246x.2000.01261.x
    Morelli, A., Dziewonski, A. M., Woodhouse, J. H., 1986. Anisotropy of the Inner Core Inferred from PKIKP Travel Times. Geophysical Research Letters, 13(13):1545-1548. https://doi.org/10.1029/gl013i013p01545
    Nyman, D., 1975. Stacking and Stripping for Normal Mode Eigenfrequencies. Geophysical Journal International, 41(2):271-303. https://doi.org/10.1111/j.1365-246x.1975.tb04153.x
    Okal, E. A., Stein, S., 2009. Observations of Ultra-Long Period Normal Modes from the 2004 Sumatra-Andaman Earthquake. Physics of the Earth and Planetary Interiors, 175(1/2):53-62. https://doi.org/10.1016/j.pepi.2009.03.002
    Park, J., 2005. Earth's Free Oscillations Excited by the 26 December 2004 Sumatra-Andaman Earthquake. Science, 308(5725):1139-1144. https://doi.org/10.1126/science.1112305
    Resovsky, J. S., Ritzwoller, M. H., 1995. Constraining Odd-Degree Earth Structure with Coupled Free-Oscillations. Geophysical Research Letters, 22(16):2301-2304. https://doi.org/10.1029/95gl01996
    Resovsky, J. S., Ritzwoller, M. H., 1998. New and Refined Constraints on Three-Dimensional Earth Structure from Normal Modes below 3 MHz. Journal of Geophysical Research:Solid Earth, 103(B1):783-810. https://doi.org/10.1029/97jb02482
    Ritzwoller, M., Masters, G., Gilbert, F., 1986. Observations of Anomalous Splitting and Their Interpretation in Terms of Aspherical Structure. Journal of Geophysical Research, 91(B10):10203. https://doi.org/10.1029/jb091ib10p10203
    Ritzwoller, M., Masters, G., Gilbert, F., 1988. Constraining Aspherical Structure with Low-Degree Interaction Coefficients:Application to Uncoupled Multiplets. Journal of Geophysical Research, 93(B6):6369. https://doi.org/10.1029/jb093ib06p06369
    Rogister, Y., 2003. Splitting of Seismic-Free Oscillations and of the Slichter Triplet Using the Normal Mode Theory of a Rotating, Ellipsoidal Earth. Physics of the Earth and Planetary Interiors, 140(1/2/3):169-182. https://doi.org/10.1016/j.pepi.2003.08.002
    Roult, G., Rosat, S., Clévédé, E., et al., 2006. New Determinations of Q Quality Factors and Eigenfrequencies for the Whole Set of Singlets of the Earth's Normal Modes 0S0, 0S2, 0S3 and 2S1 Using Superconducting Gravimeter Data from the GGP Network. Journal of Geodynamics, 41(1/2/3):345-357. https://doi.org/10.1016/j.jog.2005.08.020
    Shen, W.-B., Ding H., 2014. Observation of Spheroidal Normal Mode Multiplets below 1 MHz Using Ensemble Empirical Mode Decompo-sition. Geophysical Journal International, 196(3):1631-1642. https://doi.org/10.1093/gji/ggt468
    Shen, W.-B., Ding, H., 2013. Detection of the Inner Core Translational Triplet Using Superconducting Gravimetric Observations. Journal of Earth Science, 24(5):725-735. https://doi.org/10.1007/s12583-013-0369-3
    Shen, W.-B., Luan, W., 2015. Feasibility Analysis of Searching for the Slichter Triplet in Superconducting Gravimeter Records. Geodesy and Geodynamics, 6(5):307-315. https://doi.org/10.1016/j.geog.2015.05.011
    Stein, S., Okal, E. A., 2007. Ultralong Period Seismic Study of the December 2004 Indian Ocean Earthquake and Implications for Regional Tectonics and the Subduction Process. Bulletin of the Seismological Society of America, 97(1A):S279-S295. https://doi.org/10.1785/0120050617
    Tromp, J., 1993. Support for Anisotropy of the Earth's Inner Core from Free Oscillations. Nature, 366(6456):678-681. https://doi.org/10.1038/366678a0
    Tromp, J., 1995a. Normal-Mode Splitting Observations from the Great 1994 Bolivia and Kuril Islands Earthquakes:Constraints on the Structure of the Mantle and Inner Core. GSA Today, 5(7):137-151 https://www.researchgate.net/publication/246974508_Normal-mode_constraints_on_the_structure_of_the_Earth
    Tromp, J., 1995b. Normal-Mode Splitting due to Inner-Core Anisotropy. Geophysical Journal International, 121(3):963-968. https://doi.org/10.1111/j.1365-246x.1995.tb06451.x
    Van Camp, M., Vauterin, P., 2005. Tsoft:Graphical and Interactive Software for the Analysis of Time Series and Earth Tides. Computers & Geosciences, 31(5):631-640. https://doi.org/10.1016/j.cageo.2004.11.015
    Wenzel, H. G., 1994. PRETERNA. A Preprocessor for Digitally Recorded Tidal Data. Marées Terrestres, 118:8722-8734 https://www.sciencedirect.com/science/article/pii/S0140673602935567
    Wenzel, H. G., 1996. The Nanogal Software:Earth Tide Data Processing Package ETERNA 3.30. Bull. Inf. Marées Terrestres., 124:9425-9439 http://www.eas.slu.edu/GGP/ETERNA34/MANUAL/ETERNA33.HTM
    Widmer-Schnidrig, R., 1991. The Large-Scale Structure of the Deep Earth as Constrained by Free Oscillation Observations: [Dissertation]. University of California, San Diego
    Widmer-Schnidrig, R., Masters, G., Gilbert, F., 1992. Observably Split Multiplets-Data Analysis and Interpretation in Terms of Large-Scale Aspherical Structure. Geophysical Journal International, 111(3):559-576. https://doi.org/10.1111/j.1365-246x.1992.tb02112.x
    Woodhouse, J. H., 1980. The Coupling and Attenuation of nearly Resonant Multiplets in the Earth's Free Oscillation Spectrum. Geophysical Journal International, 61(2):261-283. https://doi.org/10.1111/j.1365-246x.1980.tb04317.x
    Woodhouse, J. H., Giardini, D., Li, X. D., 1986. Evidence for Inner Core Anisotropy from Free Oscillations. Geophysical Research Letters, 13(13):1549-1552. https://doi.org/10.1029/gl013i013p01549
    Zürn, W., Laske, G., Widmer-Schnidrig, R., et al., 2000. Observation of Coriolis Coupled Modes below 1 MHz. Geophysical Journal International, 143(1):113-118. https://doi.org/10.1046/j.1365-246x.2000.00220.x
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Figures(6)  / Tables(5)

    Article Metrics

    Article views(531) PDF downloads(16) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return