Green’s function in PREM model of the Earth for investigation of seismic waves
*I. Y. PopovCorresponding authorpopov1955@gmail.comInstitute of Mathematics ITMO University Kronverkskiy 49St. Petersburg, 197101, Russia0000-0002-5251-5327View full profile → , N. A. Perezhoginperezhoginnik@yandex.ruInstitute of Mathematics ITMO University Kronverkskiy 49St. Petersburg, 197101, RussiaView full profile → , A. I. Popovpopov239@gmail.comInstitute of Mathematics ITMO University Kronverkskiy 49St. Petersburg, 197101, Russia0000-0001-7137-4067View full profile →
* Corresponding author · click or hover a name for details
- Received:
- 01 Aug 2024
- Published Online:
- 09 May 2026
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JIM-2177
- Pages:
- 1–15
Abstract
Keywords
Subject Classifications
References
[1] D. Ajit, A. Roy, M. Mitra, and R. K. Bhattacharya, Computation of synthetic seismogram in real earth model by eigen function expansion. Siliguri, India: Department of Mathematics, Siliguri College (2015).
[2] K. Aki and P. G. Richards, Quantitative Seismology, 2nd ed. Sausalito, CA, USA: University Science Books (2002).
[3] J. Bielak, K. Loukakis, Y. Hisada, and C. Yoshimura, “Domain reduction method for three-dimensional earthquake modeling in localized regions, part I: theory,” Bulletin of the Seismological Society of America, vol. 93, pp. 817–824 (2003).
[4] F. A. Dahlen and J. Tromp, Theoretical Global Seismology. Princeton, NJ, USA: Princeton University Press (1998).
[5] A. M. Dziewonski and D. L. Anderson, “Preliminary reference Earth model,” Physics of the Earth and Planetary Interiors, vol. 25, no. 4, pp. 297–356 (1981).
[6] W. Friederich and J. Dalkolmo, “Complete synthetic seismograms for a spherically symmetric Earth by a numerical computation of the Green’s function in the frequency domain,” Geophysical Journal International, vol. 122, no. 2, pp. 537–550 (1995).
[7] Y. Gao, D. Dai, N. Zhang, Y. Wu, and A. H. Mahfouz, “Scattering of plane and cylindrical SH waves by a horseshoe shaped cavity,” Journal of Earthquake and Tsunami, vol. 11, no. 2, p. 1650011 (2017).
[8] F. Gilbert and D. V. Helmberger, “Generalized ray theory for a layered sphere,” Geophysical Journal of the Royal Astronomical Society, vol. 27, pp. 57–80 (1972).
[9] Sh. Hu and L. Zhu, “Calculation of differential seismograms using analytic partial derivatives—II Regional waveforms,” Geophysical Journal International, vol. 212, no. 1, pp. 390–399 (2018).
[10] T. Liu and H. Zhang, “Synthetic seismograms for finite sources in spherically symmetric Earth using normal-mode summation,” Earthquake Science, vol. 30, pp. 125–133 (2017).
[11] C. Pekeris and H. Jarosch, “The free oscillations of the Earth,” Contributions in Geophysics, pp. 171–192 (1958).
[12] I. Y. Popov, I. S. Lobanov, S. I. Popov, A. I. Popov, and T. V. Gerya, “Practical analytical solutions for benchmarking of 2-D and 3-D geodynamic Stokes problems with variable viscosity,” Solid Earth, vol. 5, no. 1, pp. 461–476 (2014).
[13] I. Y. Popov, I. S. Lobanov, A. I. Popov, and T. V. Gerya, “Numerical approach to the Stokes problem with high contrasts in viscosity,” Applied Mathematics and Computation, vol. 235, pp. 17–25 (2014).
[14] X. J. Song and D. V. Helmberger, “Source estimation of finite faults from broadband regional networks,” Bulletin of the Seismological Society of America, vol. 86, pp. 797–804 (1996).
[15] R. Stern, T. V. Gerya, and P. J. Tackley, A Tectonic Manifesto, Perspectives of Earth and Space Scientists, vol. 4, no. 1, e2023CN000214 (2024).
[16] R. Wang, S. Heimann, Y. Zhang, H. Wang, and T. Dahm, “Complete synthetic seismograms based on a spherical self-gravitating Earth model with an atmosphere-ocean-mantle-core structure,” Geophysical Journal International, vol. 210, no. 3, pp. 1739–1764 (2017).
[17] H. Zhang and Y.-G. Zhao, “A simple approach for estimating the fundamental mode shape of layered soil profiles,” Journal of Earthquake and Tsunami, vol. 13, no. 1, p. 1950003 (2019).
