Inventors:
- Houston TX, US
Sam T. KAPLAN - Oakland CA, US
Charles C. MOSHER - Houston TX, US
Joel D. BREWER - Houston TX, US
Robert G. KEYS - Houston TX, US
International Classification:
G01V 1/30
Abstract:
Computer-implemented method for determining optimal sampling grid during seismic data reconstruction includes: a) constructing an optimization model, via a computing processor, given by min∥Su∥s.t. ∥Ru−b∥≦σ wherein S is a discrete transform matrix, b is seismic data on an observed grid, u is seismic data on a reconstruction grid, and matrix R is a sampling operator; b) defining mutual coherence aswherein C is a constant, S is a cardinality of Su, m is proportional to number of seismic traces on the observed grid, and n is proportional to number of seismic traces on the reconstruction grid; c) deriving a mutual coherence proxy, wherein the mutual coherence proxy is a proxy for mutual coherence when S is over-complete and wherein the mutual coherence proxy is exactly the mutual coherence when S is a Fourier transform; and d) determining a sample grid r=arg minμ(r).