Interactive Correction of the Long-Period Trend in the Deconvolution Algorithm of Seismic Records

Abstract

Ground displacement reconstruction is an ill-posed problem. Therefore, additional assumptions that ensure the stability of the resulting solution have been used to solve it. Interactive correction of the trend in the time domain, which makes it possible to remove a group of long-period trends from the seismic record without repeating the procedure, can be used as an alternative to the regularization of the solution in the deconvolution algorithm. Interactive trend correction is used within the proposed criterion. In the paper, the algorithm for calculating accelerograms from velocigrams with an integrated procedure for the interactive correction of the long-period trend has been given. The efficiency of the algorithm, which is based on the relationship of the differential equation of motion of the velocimeter pendulum to the true acceleration of the foundation bed, has been shown experimentally.