Study on seismic wave propagation through the heterogeneous structure and the Green function retrieval from the noise cross correlation

• Project/Area Number: 24540448
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Solid earth and planetary physics
• Research Institution: Tohoku University
• Principal Investigator: SATO Haruo 東北大学, 理学(系)研究科(研究院), 名誉教授 (80225987)
• Co-Investigator(Kenkyū-buntansha): NISHIMURA Takeshi 東北大学, 大学院理学研究科, 教授 (40222187)
• Project Period (FY): 2012-04-01 – 2015-03-31
• Project Status: Completed (Fiscal Year 2014)
• Budget Amount: ¥5,070,000 (Direct Cost: ¥3,900,000、Indirect Cost: ¥1,170,000); Fiscal Year 2014: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000); Fiscal Year 2013: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000); Fiscal Year 2012: ¥2,470,000 (Direct Cost: ¥1,900,000、Indirect Cost: ¥570,000)
• Keywords: 地震波動 / 散乱 / 不均質構造 / 地殻 / リソスフェア / 火山 / ランダム媒質 / 地殻構造 / コーダ波 / 地震 / 地下構造 / 不均質 / ノイズ / 固体地球 / フラクタル / 波動

Outline of Final Research Achievements

In order to describe the propagation of seismic wave-energy through random heterogeneities of the solid earth medium, we have improved the radiative transfer theory. If we imagine a fractal distribution of scatterers, we can explain the power-law decay of the maximum amplitude and coda amplitude with lapse time increasing. Since low-velocity bodies including melt/or water are expected beneath volcanoes, we have developed the radiative transfer theory which deals with the trap and release of wave energy due to resonant scattering. For the Green function retrieval from the cross-correlation function of ambient noise for the existence of an obstacle (heterogeneity) of arbitrary shape, we have theoretically shown that the generalized optical theorem as the necessary condition.

Research Products

• [Journal Article] Radiative transfer theory for the fractal structure and power-law decay characteristics of short-period seismogram (2013)
  • Author(s): Sato, H. and R. Fukushima,
  • Journal Title: Geophys. J. Int. Volume: 195 Issue: 3 Pages: 1831-1842
  • DOI: 10.1093/gji/ggt338
  • Peer Reviewed
• [Journal Article] Envelope synthesis of a cylindrical outgoing wavelet in layered random elastic media based on the Markov approximation (2013)
  • Author(s): Emoto, K., H. Sato and T. Nishimura
  • Journal Title: Geophys. J. Int. Volume: 194 Issue: 2 Pages: 899-910
  • DOI: 10.1093/gji/ggt125
  • Peer Reviewed
• [Journal Article] Volcano inflation prior to an eruption: Numerical simulations based on a 1-D magma flow model in an open conduit (2013)
  • Author(s): Kawaguchi, R., T. Nishimura, and H. Sato
  • Journal Title: Earth Planets Spac Volume: 65 Pages: 1477-1489
  • NAID: 40019987852
  • Peer Reviewed
• [Journal Article] Green’s function retrieval from the CCF of random waves and energy conservation for an obstacle of arbitrary shape: noise source distribution on a large surrounding shell (2013)
  • Author(s): Sato, H.
  • Journal Title: Geophys. J. Int. Volume: in press
  • Peer Reviewed
• [Journal Article] Envelope Synthesis of a Cylindrical Outgoing Wavelet in Layered Random Elastic Media Based on the Markov Approximation (2013)
  • Author(s): Emoto, K., H. Sato and T. Nishimura
  • Journal Title: Geophys. J. Int. Volume: in press
  • Peer Reviewed
• [Journal Article] Analyzing the coda from correlating scattered surface waves (2012)
  • Author(s): Mikesell, T.D., K. van Wijk, and T. E. Blum, R. Snieder and H. Sato
  • Journal Title: J. Acoust. Soc. Am. Volume: 131
  • Peer Reviewed
• [Journal Article] Synthesis and applicable condition of vector wave envelopes in layered random elastic media with anisotropic autocorrelation function based on the Markov approximation (2012)
  • Author(s): Emoto, K., H. Sato and T. Nishimura
  • Journal Title: Geophys. J. Int. Volume: 188 Pages: 325-335
  • Peer Reviewed
• [Journal Article] Spatio-temporal changes in seismic velocity associated with the 2000 activity of Miyakejima volcano as inferred from cross-correlation analyses of ambient noise (2012)
  • Author(s): Anggono , T.,T. Nishimura a, H. Sato, H. Ueda, M. Ukawa
  • Journal Title: J. Volcanol. Geotherm. Res. Volume: 247-248 Pages: 93-107
  • Peer Reviewed
• [Presentation] Radiative transfer approach to the power-law decay characteristics of direct- and coda-wave amplitudes based on the fractal distribution model (2014)
  • Author(s): Sato, H. and R. Fukushima
  • Organizer: CGU （China Geophysical Union)
  • Place of Presentation: 北京（中国）
  • Year and Date: 2014-10-21
  • Invited
• [Presentation] 共鳴散乱を取り入れた輻射伝達理論 (2014)
  • Author(s): 佐藤春夫・早川俊彦
  • Organizer: 東大地震研共同利用研究会
  • Place of Presentation: 東大地震研（東京都）
  • Year and Date: 2014-09-01
• [Presentation] Radiative Transfer Theory for a Random Distribution of Low-Velocity Spheres (2014)
  • Author(s): Sato, H. and T. Hayakawa
  • Organizer: EGU （European Geophysical Union)
  • Place of Presentation: ウィーン(オーストリア）
  • Year and Date: 2014-05-02
• [Presentation] ランダム波の相互相関関数からのグリーン関数抽出とエネルギー保存則：任意形状の散乱体に関する一般化された光学定理の導出 (2013)
  • Author(s): 佐藤春夫
  • Organizer: 日本地球惑星科学連合２０１３年大会
  • Place of Presentation: 千葉県幕張メッセ
• [Presentation] 低速度球体による共鳴散乱と輻射伝達方程式 (2013)
  • Author(s): 佐藤春夫
  • Organizer: 平成25年度東京大学地震研究所共同利用研究集会 「不均質媒質における波動伝播の物理学の基礎と応用」
  • Place of Presentation: 東京大学地震研究所
• [Presentation] 直達波とコーダ波振幅の冪乗型減衰と内部減衰物質と散乱体のフラクタル分布 (2012)
  • Author(s): 佐藤 春夫
  • Organizer: 日本地球惑星科学連合2012年大会
  • Place of Presentation: 幕張
• [Presentation] Green’s Function Retrieval and Energy Conservation for an Obstacle of Arbitrary Shape in 2-D Space (2012)
  • Author(s): H. Sato
  • Organizer: Workshop on "Noise and Diffuse Wavefields"
  • Place of Presentation: Neustadt , Germany
• [Presentation] ノイズ相互相関からのグリーン関数抽出とエネルギー保存則 (2012)
  • Author(s): 佐藤 春夫
  • Organizer: 研究集会 「不均質媒質における波動伝播の物理学の深化 」
  • Place of Presentation: 東京大学地震研究所
• [Book] 地震学 (2015)
  • Author(s): 長谷川昭・佐藤春夫・西村武志
  • Total Pages: 600
  • Publisher: 共立出版
• [Book] Seismic Wave Propagation and Scattering in the Heterogeneous Earth: the Second Edition (2012)
  • Author(s): Sato, H., M. C. Fehler, and T. Maeda
  • Publisher: Springer Verlag, Berlin Hidelberg