The asymmetric elastic wavefields in a model comprising a liquid layer overlying an anisotropic solid seabed due to an arbitrary source within the solid |
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| Institution: | 1. Department of Civil Engineering, University of Tehran, P.O. Box 11155-4563, Tehran, Iran;2. School of Engineering Science, College of Engineering, University of Tehran, P.O. Box 11155-4563, Tehran, Iran;3. Institute of Geophysics, ETH Zurich, Sonneggstrasse 5, Zurich 8092, Switzerland,;1. IMPACT Strategic Research Centre, Deakin University, Geelong, Australia;2. Florey Institute for Neuroscience and Mental Health, Parkville, Australia;3. Department of Psychiatry, University of Melbourne, Parkville, Australia;4. Barwon Health, Geelong, Australia;5. St Vincent''s Hospital, Melbourne, Australia;6. Cooperative Research Centre for Mental Health, Melbourne, Australia;7. Discipline of Psychiatry, Monash University, Melbourne, Australia;8. Department of Psychiatry, Center for Psychiatric Neuroscience, Lausanne University Hospital (CHUV), Lausanne, Switzerland;9. Department of Psychiatry, Service of General Psychiatry, Lausanne University Hospital (CHUV), Lausanne, Switzerland;10. Brain and Psychological Science Research Centre, Swinburne University of Technology, Hawthorn, Australia;11. School of Psychiatry and Neurosciences, University of Western Australia, Perth, Australia;12. Department of Psychiatry, University of Capetown, Capetown, South Africa;13. Faculty of Health Science, Australian Catholic University, Queensland, Australia;14. Orygen Research Centre, Parkville, Australia;1. Univ. Montpellier, IES, UMR 5214, F-34000 Montpellier, France;2. CNRS, IES, UMR 5214, F-34000 Montpellier, France;3. Univ. Montpellier, L2C, UMR 5221, F-34000 Montpellier, France;4. CNRS, L2C, UMR 5221, F-34000 Montpellier, France;5. ONERA, Chemin de la Hunière, F-91761 Palaiseau, France;1. Research Department, Institute of Technology and Education Galileo of Amazon - ITEGAM, Manaus, AM, Brazil;2. Mauá Generation Department, Generation Eletrobras Amazonas GT Manaus, Amazonas, Brazil;3. Research Department, University of the State of Amazonas (UEA), Manaus, Amazonas, Brazil |
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| Abstract: | The asymmetric three-dimensional radiation pattern and resultant elastodynamic response of stress waves in a model comprising a compressible water column overlying a transversely isotropic seabed in which a time-harmonic source acts is theoretically investigated. The use of potential functions, the Hankel transform, and a Fourier series expansion are adopted to deal with the equations of motion for both media. Closed-form integral expressions are developed for the potentials and the stress/displacement components. The expressions and introduced procedure are sufficiently flexible to incorporate various types of source loads. To evaluate the field quantities, the residue method and a robust integration scheme are utilized to handle the poles and branch points within the integrand. Any possible number of dispersive propagation modes are taken into account in the integral evaluation. The deduced velocity dispersion curves depict the characteristics of the various modes. They also indicate the existing singular points (poles) for a specific dimensionless frequency and the surface wave type associated with each pole. Numerical results are presented for the hydrodynamic pressure and displacement in the liquid layer and stress and displacement components in the solid seabed due to distributed and concentrated source excitations. The formulation and the numerical scheme are valid for calculating the wavefield anywhere within the model including both far- and near-field effects. The sensitivity of the results to different parameters is also analyzed. Both analytical and numerical comparisons with existing solutions for simpler cases are made to confirm the validity of the results. The results are especially useful in seismic hazard assessment of submarine earthquakes, landslides, and tsunamis. They can also be extended to deal with the fluid-solid-structure interaction problems. |
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| Keywords: | Elastodynamic response Liquid layer Acoustic modes Anisotropic seabed Dispersion Integral transform |
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