Robust One-Step (Deconvolution + Integration) Seismic Inversion In The Frequency Domain

Priezzhev, Ivan (Schlumberger) | Scollard, Aaron (Schlumberger)


Seismic inversion requires two main operations relative to changes in the frequency spectrum. The first operation is deconvolution, used to increase the high frequency component of the observed seismic data and the second operation is integration of a reflectivity function to decrease the high frequencies and increase low frequencies of the seismic signal. The first operation is very unstable and non-unique for noisy seismic data. The second operation is very sable in high frequencies but has problems in low frequencies due to undefined low frequency data in seismic traces. By performing both of these operations simultaneously the operation will be stable in high frequency area and can be effectively stabilized in low frequency area based on an a priori acoustic impedance power spectrum and use Tikhonov and Arsenin‟s (1979) regularization technique. This approach can be applied to poststack and pre-stack seismic data.