The Slichter Mode Detection and Estimation from Laser Interferometer–Strainmeter Observations of the Chilean Earthquake of February 27, 2010

Pleiades Publishing Ltd - Tập 56 - Trang 737-748 - 2020
V. K. Milyukov1,2, M. P. Vinogradov1, A. P. Mironov1,2, A. V. Myasnikov1
1Sternberg Astronomical Institute, Moscow State University, Moscow, Russia
2Vladikavkaz Scientific Centre, Russian Academy of Sciences, Vladikavkaz, Russia

Tóm tắt

Abstract—The Slichter mode (1S1) is the longest-period mode of the free oscillations of the Earth. The period of the Slichter mode directly depends on density jump between the outer liquid and the inner solid core which makes the detection of this oscillation very important for gaining a more detailed insight into the structure of the Earth’s interior. Reliable empirical data on the detection of Slichter mode are absent, which is associated with the rather low amplitude of this mode on the surface. In this work, for the first time, an attempt is made to detect the Slichter mode using the strain data from the largest 2010 Chilean earthquake recorded by the Baksan laser interferometer–strainmeter (Sternberg Astronomical Institute of the Moscow State University (SAI MSU)) with a measuring arm length of 75 m in the Elbrus region, North Caucasus. An asymptotically optimal data analysis algorithm that allows for the properties of seismic noise and peculiarities of the mode is developed. Simultaneously with mode detection, the algorithm provides evaluation of mode parameters (frequency and splitting magnitude). Statistical reliability of the detection is estimated; the parameters of the Slichter mode and the corresponding density jump between the inner and outer core of the Earth are determined.

Tài liệu tham khảo

Abd El-Gelil, M. and Pagiatakis, S., Least squares self-coherence for sub-nGal signal detection in the superconducting gravimeter records, J. Geodyn., 2009, vol. 48, nos. 3–5, pp. 310–315. Akimov, P.S., Bakut, P.A., Bogdanovich, V.A., et al., Teoriya obnaruzheniya signalov (Theory of Signal Detection), Bakut, P.A., Ed., Moscow: Radio i svyaz’, 1984. Buffett, B.A., Tidal dissipation and the strength of the Earth’s internal magnetic field, Nature, 2010, vol. 468, pp. 952–954. https://doi.org/10.1038/nature09643 Buffett, B. and Goertz, D.E., Magnetic damping of the translational oscillations of the inner core, Geophys. J. Int., 1995, vol. 120, no. 1, pp. 103–110. Bullen, K.E. and Bolt, B.A., An Introduction to the Theory of Seismology, 4th ed., Cambridge: Cambridge Univ. Press., 1985. Busse, F.H., On the free oscillations of the Earth’s inner core, J. Geophys. Res., 1974, vol. 79, no. 5, pp. 753–757. Courtier, N., Ducarme, B., Goodkind, J., Hinderer, J., Imanishi, Y., Seama, N., Sun, H., Merriam, J., Bengert, B., and Smylie, D.E., Global superconducting gravimeter observations and the search for the translational modes of the inner core, Phys. Earth Planet. Inter., 2000, vol. 117, nos. 1–4, pp. 3–20. Crossley, D.J., Eigensolutions and seismic excitation of the Slichter mode triplet for a fully rotating Earth model, Eos, Trans. Am. Geophys. Union, 1992, vol. 73, no. 43, p. 60. Crossley, D.J., Hinderer, J., and Legros, H., On the excitation, detection and damping of core modes, Phys. Earth Planet. Inter., 1991, vol. 68, nos. 1–2, pp. 97–116. Crossley, D., Rochester, M., and Peng, Z., Slichter modes and Love numbers, Geophys. Res. Lett., 1992, vol. 19, no. 16, pp. 1679–1682. Dahlen, F.A. and Sailor, R.V., Rotational and elliptical splitting of the free oscillations of the Earth, Geophys. J. R. Astron. Soc., 1979, vol. 58, pp. 609–623. Dahlen, F. and Tromp, J., Theoretical Global Seismology, Princeton: Princeton Univ. Press. 1998. Ding, H. and Chao, B.F., The Slichter mode of the Earth: Revisit with optimal stacking and autoregressive methods on full superconducting gravimeter data set, J. Geophys. Res.: Solid Earth, 2015, vol. 120, no. 10, pp. 7261–7272. https://doi.org/10.1002/2015JB012203 Ding, H. and Shen, W.-B., Search for the Slichter modes based on a new method: Optimal sequence estimation, J. Geophys. Res.: Solid Earth, 2013, vol. 118, no. 9, pp. 5018–5029. https://doi.org/10.1002/jgrb.50344 Duputel, Z., Rivera, L., Kanamori, H., and Hayes, G., W phase source inversion for moderate to large earthquakes (1990–2010), Geophys. J. Int., 2012, vol. 189, no. 2, pp. 1125–1147. Dziewonski, A.M. and Anderson, D.L., Preliminary reference Earth model, Phys. Earth Planet. Inter., 1981, vol. 25, no. 4, pp. 297–356. Gilbert, F. and Dziewonski, A., An application of normal mode theory to the retrieval of structural parameters and source mechanisms from seismic spectra, Philos. Trans. R. Soc. London, A, 1975, vol. 278, pp. 187–269. Guo, J.Y., Dierks, O., Neumeyer, J., and Shum, C.K., A search for the Slichter modes in superconducting gravimeter records using a new method, Geophys. J. Int., 2007, vol. 168, no. 2, pp. 507–517. Hinderer, J., Crossley, D., and Jensen, O., A search for the Slichter triplet in superconducting gravimeter data, Phys. Earth Planet. Inter., 1995, vol. 90, nos. 3–4, pp. 183–195. Jensen, O.G., Hinderer, J., and Crossley, D.J., Noise limitations in the core-mode band of superconducting gravimeter data, Phys. Earth Planet. Inter., 1995, vol. 90, nos. 3–4, pp. 169–181. Jiang, Y., Xu, J., and Sun, H., Detection of inner core translational oscillations using superconducting gravimeters, J. Earth Sci., 2013, vol. 24, no. 5, pp. 750–758. https://doi.org/10.1007/s12583-013-0370-x Korn, G.A. and Korn, T.M., Mathematical Handbook for Scientists and Engineers, New York: McGraw-Hill, 1968. Mathews, P.M. and Guo, J.Y., Viscoelectromagnetic coupling in precession-nutation theory, J. Geophys. Res.: Solid Earth, 2005, vol. 110, no. B2, Paper ID B02402. https://doi.org/10.1029/2003JB002915 Milyukov, V.K., Observation of the fine structure of the fundamental spheroidal mode 0S2, Izv. Phys. Solid Earth, 2005, vol. 41, no. 4, pp. 267–272. Milyukov, V.K. and Myasnikov, A.V., Metrological characteristics of the Baksan laser interferometer, Meas. Tech., 2005, vol. 48, no. 12, pp. 1183–1190. Milyukov, V.K, Vinogradov, M.P., Mironov, A.P., Myasnikov, A.V., and Perelygin, N.A., The free oscillations of the earth excited by three strongest earthquakes of the past decade according to deformation observations, Izv. Phys. Solid Earth, 2015, vol. 51, no. 2, pp. 176–190. https://doi.org/10.7868/S0002333715010093 Milyukov, V.K., Vinogradov, M.P., Lagutkina, A.V., Mironov, A.P., Myasnikov, A.V., Perelygin, N.A., Pustovitenko, B.G., Boborykina, O.V., Volfman, Yu.M., and Nasonkin, V.A., Observation of the free oscillations of the Earth by laser interferometer-strain meters, Meas. Tech., 2016, vol. 58, no. 12, pp. 1322–1329. Milyukov, V.K., Vinogradov, M.P., Mironov, A.P., and Myasnikov, A.V., Earth’s free oscillations excited by the 2013 Okhotsk Sea earthquake, Izv., Atmos. Ocean. Phys., 2018a, vol. 54, no. 11, pp. 1595–1609. https://doi.org/10.21455/GPB2018.4-7 Milyukov, V.K., Vinogradov, M.P., Mironov, A.P., and Myasnikov, A.V., Detection and estimation of the Slichter mode based on the data of the Baksan long-base laser strainmeter (the Northern Caucasus, Russia), Geophysical Research Abstracts of General Assemblies of the European Geosciences Union (EGU), Vienna, 2018, Vienna: EGU, 2018b, vol. 20, p. EGU2018–3964. Peng, Z., Effects of a mushy transition zone at the inner core boundary on Slichter modes, Geophys. J. Int., 1997, vol. 131, no. 3, pp. 607–617. Rieutord, M., Slichter modes of the Earth revisited, Phys. Earth Planet. Inter., 2002, vol. 131, nos. 3–4, pp. 269–278. https://doi.org/10.1016/S0031-9201(02)00039-0 Rogister, Y., Splitting of seismic-free oscillations and of the Slichter triplet using the normal mode theory of a rotating, ellipsoidal Earth, Phys. Earth Planet. Inter., 2003, vol. 140, nos. 1–3, pp. 169–182. Rosat, S., Optimal seismic source mechanisms to excite the Slichter mode, Proc. Int. Assoc. Geod. Symposia: Dynamic Planet—Monitoring and Understanding a Dynamic Planet with Geodetic and Oceanographic Tools, Tregoning., P. and Rizos., C., Eds., Cairns, Australia, 2005, Berlin: Springer, 2007, vol. 130, pp. 571–577. Rosat, S. and Rogister, Y., Excitation of the Slichter mode by collision with a meteoroid or pressure variations at the surface and core boundaries, Phys. Earth Planet. Inter., 2012, vol. 190–191, pp. 25–33. Rosat, S., Hinderer, J., Crossley, D.J., and Rivera, L., The search for the Slichter mode: comparison of noise levels of superconducting gravimeters and investigation of a stacking method, Phys. Earth Planet. Inter., 2003, vol. 140, nos. 1–3, pp. 183–202. Rosat, S., Rogister, Y., Crossley, D., and Hinderer, J., A search for the Slichter triplet with superconducting gravimeters: Impact of the density jump at the inner core boundary, J. Geodyn., 2006, vol. 41, nos. 1–3, pp. 296–306. Rosat, S., Boy, J.-P., and Rogister, Y., Surface atmospheric pressure excitation of the translational mode of the inner core, Phys. Earth Planet. Inter., 2014, vol. 227, pp. 55–60. https://doi.org/10.1016/j.pepi.2013.12.005 Shen, W.B. and Ding, H., Detection of the inner core translational triplet using superconducting gravimetric observations, J. Earth Sci., 2013, vol. 24, pp. 725–735. Shen, W.B. and Luan, W., Feasibility analysis of aearching for the Slichter triplet in superconducting gravimeter records, Geod. Geodyn., 2015, vol. 6, no. 5, pp. 307–315. https://doi.org/10.13039/501100001809 Slichter, L.B., The fundamental free mode of the Earth’s inner core, Proc. Natl. Acad. Sci. U.S.A., 1961, vol. 47, no. 2, pp. 186–190. Smith, M.L., Translational inner core oscillations of a rotating, slightly elliptical Earth, J. Geophys. Res., 1976, vol. 81, no. 17, pp. 3055–3065. Smylie, D.E., The inner core translational triplet and the density near Earth’s centre, Science, 1992, vol. 255, no. 5052, pp. 1678–1682. Smylie, D.E. and McMillan, D.G., The inner core as a dynamic viscometer, Phys. Earth Planet. Inter., 2000, vol. 117, nos. 1–4, pp. 71–79. https://doi.org/10.1016/S0031-9201(99)00088-6 Smylie, D.E. and Palmer, A., Viscosity of Earth’s Outer Core. Electronic publication. https://arxiv.org/pdf/0709.3333.pdf. Ithaca: Cornell Univ. Library, 2018. Sosulin, Yu.G., Teoreticheskie osnovy radiolokatsii i radionavigatsii (Theory of Radar and Radio Navigation), Moscow: Radio i svyaz’, 1992. Tikhonov, V.I., Vybrosy sluchainykh protsessov (Outliers of Random Processes), Moscow: Nauka, 1970. Vinogradov, M.P., Milyukov, V.K., Mironov, A.P., and Myasnikov, A.V., An asymptotically optimal algorithm for the search for and evaluation of the Slichter mode from long-term strain data, Moscow Univ. Phys. Bull., 2019, vol. 74, no. 2, pp. 205–211. Widmer, R., Masters, G., and Gilbert, F., The spherical Earth revisited, Proc. 17th International Conference on Mathematical Geophysics, Blanes, Spain, 1988, Blanes: IUGG, 1988. Xu, J.Q., Sun, H.P., and Zhou, J.C., Experimental detection of the inner core translational triplet, Chin. Sci. Bull., 2010, vol. 55, no. 3, pp. 276–283.