Scattering of surface waves modelled by the integral equation method
The integral equation method is used to model the propagation of surface waves in 3-D structures. The wavefield is represented by the Fredholm integral equation, and the scattered surface waves are calculated by solving the integral equation numerically. The integration of the Green's function...
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| Published in | Geophysical journal international Vol. 174; no. 3; pp. 857 - 872 |
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| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
| Published |
Oxford, UK
Blackwell Publishing Ltd
01.09.2008
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| Subjects | |
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| Abstract | The integral equation method is used to model the propagation of surface waves in 3-D structures. The wavefield is represented by the Fredholm integral equation, and the scattered surface waves are calculated by solving the integral equation numerically. The integration of the Green's function elements is given analytically by treating the singularity of the Hankel function at R = 0, based on the proper expression of the Green's function and the addition theorem of the Hankel function. No far-field and Born approximation is made. We investigate the scattering of surface waves propagating in layered reference models imbedding a heterogeneity with different density, as well as Lamé constant contrasts, both in frequency and time domains, for incident plane waves and point sources. |
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| AbstractList | SUMMARY
The integral equation method is used to model the propagation of surface waves in 3‐D structures. The wavefield is represented by the Fredholm integral equation, and the scattered surface waves are calculated by solving the integral equation numerically. The integration of the Green's function elements is given analytically by treating the singularity of the Hankel function at R= 0, based on the proper expression of the Green's function and the addition theorem of the Hankel function. No far‐field and Born approximation is made. We investigate the scattering of surface waves propagating in layered reference models imbedding a heterogeneity with different density, as well as Lamé constant contrasts, both in frequency and time domains, for incident plane waves and point sources. The integral equation method is used to model the propagation of surface waves in 3-D structures. The wavefield is represented by the Fredholm integral equation, and the scattered surface waves are calculated by solving the integral equation numerically. The integration of the Green's function elements is given analytically by treating the singularity of the Hankel function at R = 0, based on the proper expression of the Green's function and the addition theorem of the Hankel function. No far-field and Born approximation is made. We investigate the scattering of surface waves propagating in layered reference models imbedding a heterogeneity with different density, as well as Lamé constant contrasts, both in frequency and time domains, for incident plane waves and point sources. |
| Author | Zeng, Rongsheng Maupin, Valerie Ding, Zhifeng Lu, Laiyu |
| Author_xml | – sequence: 1 givenname: Laiyu surname: Lu fullname: Lu, Laiyu email: Institute of Geophysics, China Earthquake Administration, PO Box 8116, Beijing, 100081, P.R. China. laiyulu@hotmail.com, laiyulu@hotmail.com organization: Institute of Geophysics, China Earthquake Administration, PO Box 8116, Beijing, 100081, P.R. China. E-mail: laiyulu@hotmail.com – sequence: 2 givenname: Valerie surname: Maupin fullname: Maupin, Valerie organization: Department of Geosciences, University of Oslo, PO Box 1047, Blindern, 0316 Oslo, Norway – sequence: 3 givenname: Rongsheng surname: Zeng fullname: Zeng, Rongsheng email: Institute of Geophysics, China Earthquake Administration, PO Box 8116, Beijing, 100081, P.R. China. laiyulu@hotmail.com, laiyulu@hotmail.com organization: Institute of Geophysics, China Earthquake Administration, PO Box 8116, Beijing, 100081, P.R. China. E-mail: laiyulu@hotmail.com – sequence: 4 givenname: Zhifeng surname: Ding fullname: Ding, Zhifeng email: Institute of Geophysics, China Earthquake Administration, PO Box 8116, Beijing, 100081, P.R. China. laiyulu@hotmail.com, laiyulu@hotmail.com organization: Institute of Geophysics, China Earthquake Administration, PO Box 8116, Beijing, 100081, P.R. China. E-mail: laiyulu@hotmail.com |
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| Snippet | The integral equation method is used to model the propagation of surface waves in 3-D structures. The wavefield is represented by the Fredholm integral... SUMMARY The integral equation method is used to model the propagation of surface waves in 3‐D structures. The wavefield is represented by the Fredholm integral... |
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| SubjectTerms | Computational seismology Surface waves and free oscillations Wave propagation Wave scattering and diffraction |
| Title | Scattering of surface waves modelled by the integral equation method |
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