scholarly journals Inverse problem for wave propagation in a perturbed layered half-space

2007 ◽  
Vol 45 (1-2) ◽  
pp. 21-33 ◽  
Author(s):  
Robert Gilbert ◽  
Klaus Hackl ◽  
Yongzhi Xu
2000 ◽  
Vol 16 (1) ◽  
pp. 37-44
Author(s):  
Franz Ziegler ◽  
Piotr Borejko

ABSTRACTBased on a landmark paper by Pao and Gajewski, some novel developments of the method of generalized ray integrals are discussed. The expansion of the dynamic Green's function of the infinite space into plane waves allows benchmark 3-D solutions in the layered half-space and even enters the background formulation of elastic-viscoplastic wave propagation. New developments of software of combined symbolic-numerical manipulation and parallel computing make the method a competitive solution technique.


2018 ◽  
Vol 66 (2) ◽  
pp. 121-130
Author(s):  
Zhen Zhang ◽  
Xueliang Chen ◽  
Mengtan Gao ◽  
Zongchao Li ◽  
Qianfeng Li

1982 ◽  
Vol 72 (3) ◽  
pp. 809-820
Author(s):  
Shimon Coen

abstract It is shown that the density and bulk modulus profiles of a layered fluid half-space are uniquely determined from the vertical component of the particle velocity on the surface due to an impulsive point source on the surface. In addition, an estimate of the highest acoustic wave velocity in the layered half-space is required as well. The necessary conditions for the existence of the solution are discussed and a direct (noniterative) inversion algorithm is developed which constructs the density and bulk modulus profiles of the half-space from the surface data. The main limitations of this theory to real seismic data are briefly discussed.


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