Bulletin of the Seismological Society of America
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Bulletin of the Seismological Society of America; April 2002; v. 92; no. 3; p. 1129-1135; DOI: 10.1785/0120010184
© 2002 Seismological Society of America
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Short Note

Recursive Stiffness Matrix Method for Wave Propagation in Stratified Media

L. Wang and S. I. Rokhlin

The Ohio State University
Nondestructive Evaluation Program
Edison Joining Technology Center
1248 Arthur E. Adams Drive
Columbus, Ohio 43221
rokhlin.2{at}osu.edu

Manuscript received 8 June 2001.

A stable recursive stiffness matrix method is described for wave propagation in a layered elastic medium. The 4 x 4 global stiffness matrix for a stratified medium is recursively calculated from the layer stiffness matrices. The layer stiffness matrix has only six different elements, which are given in closed form. For general buried sources, a simple formulation has been developed to calculate the response for arbitrary positions of the receivers. Based on this method, characteristic equations for surface and guided modes in stratified media have also been obtained. The algorithm is unconditionally stable and retains the simplicity and flexibility of the transfer matrix method.






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