Abstract
In this paper, we proposed a method for stochastic interpolation of bedrock ground motion amplitudes conditioned by ground motions at the free surface and/or soil amplification ratios actually observed with a priori information about these properties. The optimal estimate and estimated error variance were derived with respect to various conditions for conditional lognormal fields on the basis of conditional probability density functions for the amplification ratio and ground motion amplitude. Numerical examples were provided for various number of the conditioning sample data and various cases of cross correlation between the amplification ratio and recorded amplitude. The estimated properties were found to be successfully interpolated from the stochastic point of view.x
