Seismic data interpolation using a fast generalized Fourier transform

Mostafa Naghizadeh and Kristopher A. H. Innanen

ABSTRACT

We propose a fast and efficient method for interpolation of nonstationary seismic data. The proposed method utilizes fast generalized Fourier transform (FGFT) to identify the space-wavenumber evolution of nonstationary spatial signals at each temporal frequency. Next, a least-squares fitting scheme is used to retrieve the optimal FGFT coefficients representative of the ideal interpolated data. For randomly sampled data on a regular grid we seek a sparse representation of FGFT coefficients in order to retrieve the missing samples. Also, to interpolate the regularly sampled seismic data at a given frequency, we use a mask function derived from the FGFT coefficients of the low frequencies. Synthetic and real data examples are provided to examine the performance of the proposed method.

View full article as PDF (1.73 Mb)