On the application of the fk-MUSIC method to measurement of multimode surface wave phase velocity dispersion from receiver arrays

  • Arjun DattaEmail author
Short Communication


The fk-MUSIC method, little known in earthquake seismology, is reviewed and compared with two other methods—frequency domain slant-stack and UC-diagram—for measurement of surface wave phase velocity dispersion from array seismic data. The three methods have been implemented in Python for this study and we assess their capabilities and sensitivity to data characteristics using a variety of synthetic tests. This is followed by application of the methods to data from the Transportable Array component of USArray. In terms of real data applications for regional studies, we conclude all three methods are effective only when data from very long station arrays (∼ 3 − 4 times the longest wavelength of interest, so > 2000 km for upper mantle studies) is available. Moreover, although fk-MUSIC provides high resolution, it is substantially less effective than the well established UC-diagram technique, at recovering multimode dispersion.


fk-MUSIC Surface wave dispersion Phase velocity Higher modes Seismic arrays 



I would like to acknowledge the Dr. Manmohan Singh Scholarship provided by St. John’s College in support of my PhD studentship at the University of Cambridge as well as a Society of Exploration Geophysicists (SEG) Foundation scholarship (SEG/Chevron Scholarship and SEG/John Bookout Scholarship) received during the last year of my study. I wish to thank Keith Priestley for providing the Transportable Array data analyzed in this study as well as the GMT script used to build station profiles. I am grateful to Chris Chapman and Everhard Muyzert for helping me understand the fk-MUSIC method. Finally, I thank Frederik Tilmann for his comments and suggestions on an early draft of this manuscript, and an anonymous reviewer for suggesting a number of significant final improvements.

The datasets generated and/or analyzed during the current study are available from the corresponding author on reasonable request.

Supplementary material

10950_2018_9803_MOESM1_ESM.pdf (38 mb)
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Copyright information

© Springer Nature B.V. 2018

Authors and Affiliations

  1. 1.Bullard Laboratories, Department of Earth SciencesUniversity of CambridgeCambridgeUK
  2. 2.Department of Astronomy and AstrophysicsTata Institute of Fundamental ResearchColabaIndia

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