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A semi-analytical method for computing dispersion curves of propagating waves underground

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Abstract

We present a method to compute the dispersion curves of underground propagating waves. The method conceptualizes the underground space as consisting of two general layers. One is described numerically by variational finite elements which can model complex soil profiles; the other one is described analytically by interactions of bulk waves which represent leaking wave field in the unbounded deep soil. The dispersion curves are finally obtained from a linear generalized eigenproblem mathematically well-studied. The method and its computer program are verified by comparison with the published results for three cases of underground systems.

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Acknowledgements

The authors would like to thank Professor Michael J. S. Lowe (Imperial College London) for kindly providing Fig. 3a and the Kansai Electric Power Company Japan and Mr. Ken Miyakoshi (Geo-Research Institute Japan) for kindly providing the field observation data in Fig. 4. The authors also acknowledge the financial support of the Wuhan Institute of Technology grant 18QD48 and the anonymous reviewers for invaluable comments that strengthened an earlier draft of this manuscript.

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Authors and Affiliations

  1. School of Civil Engineering and Architecture, Wuhan Institute of Technology, Guanggu-1st Rd., Wuhan, 430205, China

    Zhirong Lin & Wei Huang

  2. Portion of work done while at Nagoya University, Nagoya, Japan

    Zhirong Lin

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  1. Zhirong Lin
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  2. Wei Huang
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Correspondence to Zhirong Lin.

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Lin, Z., Huang, W. A semi-analytical method for computing dispersion curves of propagating waves underground. Acta Mech 234, 3595–3604 (2023). https://doi.org/10.1007/s00707-023-03578-3

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  • DOI: https://doi.org/10.1007/s00707-023-03578-3

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