Abstract
A new method for modeling wave propagation is described here, its application is discussed and its results are compared with those obtained using the conventional correlation and unit impulse methods. The method simplifies the input and output of a linear system by minimizing the mean square values of the input and output model when subjected to a constraint. The method is applied to simple models as well as the strong motion records of Etchujima vertical array in Japan. The travel times evaluated by the method agree with the results obtained by geophysical measurements of S-wave and P-wave velocities. The method is also effective in showing the amplification property of shallow layers at the Etchujima site.