scholarly journals Use of a microstructure theory for modeling steady‐state wave propagation in layered elastic materials

1975 ◽  
Vol 58 (S1) ◽  
pp. S24-S24
Author(s):  
A. Bedford ◽  
A. L. Sorensen
1978 ◽  
Vol 160 (1) ◽  
pp. 89-102 ◽  
Author(s):  
Jean-Claude Guillot ◽  
Calvin H. Wilcox

2013 ◽  
Vol 2013 ◽  
pp. 1-10 ◽  
Author(s):  
S. L. Han ◽  
Takeshi Kinoshita

This paper studies an inverse problem that can be used for reconstructing initial wave field of a nonsteady-state wave propagation. The inverse problem is ill posed in the sense that small changes in the input data can greatly affect the solution of the problem. To address the difficulty, the problem is formulated in the form of an inference problem in an appropriately constructed stochastic model. It is shown that the stochastic inverse model enables the initial surface disturbance to be reconstructed, including its confidence intervals given the noisy measurements. The reconstruction procedure is illustrated through applications to some simulated data for two- and three-dimensional problem.


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