Seismic moment and volume change of a spherical source

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• 作者：Hiroyuki Kumagai ; Yuta Maeda ; Mie Ichihara ; Nobuki Kame…
• 关键词：Volume source ; Isotropic source ; Source representation ; Volcano seismology ; Waveform inversion
• 刊名：Earth, Planets and Space
• 出版年：2014
• 出版时间：December 2014
• 年：2014
• 卷：66
• 期：1
• 全文大小：706KB
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• 作者单位：Hiroyuki Kumagai (7)
  Yuta Maeda (7)
  Mie Ichihara (8)
  Nobuki Kame (8)
  Tetsuya Kusakabe (8)
  
  7. Graduate School of Environmental Studies, Nagoya University, Furo-cho, Chikusa-ku, Nagoya, 464-8601, Japan
  8. Earthquake Research Institute, The University of Tokyo, 1-1-1 Yayoi, Bunkyo-ku, Tokyo, 113-0032, Japan
  
• 刊物类别：Earth Sciences, general; Geology; Geophysics/Geodesy;
• 刊物主题：Earth Sciences, general; Geology; Geophysics/Geodesy;
• 出版者：Springer Berlin Heidelberg
• ISSN：1880-5981

文摘

A spherical source, one of the simplest seismic sources, has been represented in various ways in the literature. These representations include a spherical source with outward radial expansion (S1), a spherical crack source with outward and inward crack wall motions along the spherical surface (S2), an isotropic source represented by three mutually perpendicular vector dipoles (S3) or three mutually perpendicular tensile cracks (S4), and a spherical source undergoing a transformational expansion (S5). We systematically examined these sources and their static displacement fields to clarify how these representations are mutually related. We also considered the sources in a bimaterial medium, in which the source material is different from the surrounding medium, as a model of a magma or hydrothermal reservoir. Our examinations show that the source volume change of a spherical source (S1) (actual volume) can be uniquely determined from the seismic moment of an isotropic source (S3) regardless of our assumption of the source medium and that the actual volume of S1 is related to the seismic moment of S3 through the equivalence of the displacement fields due to these two sources. The seismic moment of S3 is also related through another equation to the source volume change of three tensile cracks (S4), which is equal to the source volume changes defined in S2 and S5. This relation has different forms, depending on the source medium and source process. This study provides a unified view for quantifying a spherical source using the seismic moment of an isotropic source determined from waveform inversion analysis. Keywords Volume source Isotropic source Source representation Volcano seismology Waveform inversion