Real Time Conditional Simulation of Earthquake Ground Motion
Tadanobu Sato, Hirofumi Imabayashi · 1999
A method is presented for simulating earthquake ground motions at local-field points under the condition that the recorded motions are specified at several locations and the stochastic characteristics of the field also are designated. The simulated motions at observation points coincide with observed records. The state equation expressing the spatial and temporal field of earthquake ground motion compatible with the modeled stochastic field is derived by using the autoregressive process. The Kalman filtering technique is used to identify the best adaptive estimator of a stochastic field from observations made at discrete spatial and temporal points. To take into account the nonstationarity and inhomogeneity of earthquake ground motions, the algorithm to identify the stochastic characteristics of the field from observed earthquake motions is also developed and introduced to the conditional simulation algorithm. This analytical method is very promising for conditional simulation of earthquake motion at unobserved locations.