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Using the total least squares method for seismic correction of recordings from unknown instruments

A substantial amount of old (legacy) seismic, accelerometer records used instruments with narrow 0dB bandwidths. Such records require that the recorded data is de-convolved in order to remove the instruments’ response impressed on the data, providing that key instrument parameters are available, usually not the case. TheTotal Least Squares algorithm is a generalisation of the Least Squares, which has been applied successfully to obtain the instrument response without the need for instrument parameters, as the paper demonstrates. The algorithm was used on a set of records from Iceland, which relied on older instruments such as the SMA-1, A-700 and others.