Study of Numerical Methods in Seismic Problems
Abstract:
The authors investigate the application of two numerical methods finite element and finite difference approximations toward the ultimate solution of problems involving the propagation of Rayleigh waves generated by an explosion in the atmosphere over an island atoll. Because of mathematical difficulties in these methods, useful calculations of Rayleigh wave spectra at teleseismic distances were not obtained. It appears that the physical constraints of the atoll structure, e.g., abrupt changes in elastic properties in both lateral and vertical directions, require either the application of large and costly computer codes or an advance in the present state of the art in numerical simulation. Examples are offered of numerical solutions to problems which have known analytic solutions.