Compressive sensing
US9632193B2 · kind B2 · utility
Assignee
Inventors
Key dates
| Filing date | Oct 31, 2014 |
| Grant date | Apr 25, 2017 |
| Priority date | — |
| Expiry date | Apr 24, 2035 |
Classification
- Technology area (CPC G)Physics
- CPC primaryG01V2210/614
- WIPO fieldMeasurement
- WIPO sectorInstruments
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 minu∥Su∥1s.t. ∥Ru−b∥2≦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 minr μ(r).
Source: USPTO / EPO open patent data. Objective bibliographic and citation counts.