Closed-form Expressions for Layered Media Green's Functions That are Reliable Both in the Near Field and in the Far Field

PIERS Online ◽  
2006 ◽  
Vol 2 (6) ◽  
pp. 573-575 ◽  
Author(s):  
Rafael R. Boix ◽  
Francisco Mesa ◽  
Francisco Medina
Keyword(s):  
Closed Form ◽  
Green's Functions ◽  
Green’S Functions ◽  
Near Field ◽  
Layered Media ◽  
Far Field

Efficient Near-Field Interpolation of Mixed-Potential Green's Functions in Layered Media

2009 ◽  
Vol 8 ◽  
pp. 674-677 ◽  
Author(s):  
G. Valerio ◽  
P. Baccarelli ◽  
S. Paulotto ◽  
F. Frezza ◽  
A. Galli
Keyword(s):  
Green's Functions ◽  
Green’S Functions ◽  
Near Field ◽  
Layered Media ◽  
Mixed Potential

Co-seismic internal deformations in a spherical layered earth model

2020 ◽  
Vol 221 (3) ◽  
pp. 1515-1531
Author(s):  
Tai Liu ◽  
Guangyu Fu ◽  
Yawen She ◽  
Cuiping Zhao
Keyword(s):  
Green's Functions ◽  
Green’S Functions ◽  
Near Field ◽  
Earth Model ◽  
Coulomb Stress ◽  
Far Field ◽  
Coulomb Stress Changes ◽  
Layered Earth ◽  
Stress Changes ◽  
Internal Deformation

SUMMARY Using a numerical integral method, we deduced a set of formulae for the co-seismic internal deformation in a spherically symmetric earth model, simultaneously taking self-gravitation, compressibility and realistically stratified structure of the Earth into account. Using these formulae, we can calculate the internal deformation at an arbitrary depth caused by an arbitrary seismic source. To demonstrate the correctness of our formulae, we compared our numerical solutions of radial functions with analytical solutions reported by Dong & Sun based on a homogeneous earth model; we found that two sets of results agree well with each other. Our co-seismic internal Green's functions in the near field agree well with the results calculated by the formulae of Okada, which also verifies our Green's functions. Finally, we calculated the Coulomb stress changes on the Japanese Islands and Northeast China induced by the Tohoku-Oki Mw 9.0 earthquake using the methods described above. We found that the effect of layered structure plays a leading role on the near field, while curvature occupies a dominant position on the deep region of the far field. Through a comparison of the Coulomb stress changes at a depth of 10 km on a layered earth model calculated by our method along with the corresponding results of Okada, we found that the discrepancy between them in near field was ∼31.5 per cent, and that of far field was >100 per cent of the signals.

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