Wave equation processing
US-2015272506-A1 · Oct 1, 2015 · US
US10605941B2 · US · B2
| Field | Value |
|---|---|
| Publication number | US-10605941-B2 |
| Application number | US-201514974060-A |
| Country | US |
| Kind code | B2 |
| Filing date | Dec 18, 2015 |
| Priority date | Dec 18, 2014 |
| Publication date | Mar 31, 2020 |
| Grant date | Mar 31, 2020 |
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A multi-stage inversion method for deblending seismic data includes: a) acquiring blended seismic data from a plurality of seismic sources; b) constructing an optimization model that includes the acquired blended seismic data and unblended seismic data; c) performing sparse inversion, via a computer processor, on the optimization model; d) estimating high-amplitude coherent energy from result of the performing sparse inversion in c); e) re-blending the estimated high-amplitude coherent energy; and f) computing blended data with an attenuated direct arrival energy.
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The invention claimed is: 1. A multi-stage inversion method for deblending seismic data, the method comprising: a) acquiring, via a plurality of shots fired from at least one vessel, blended seismic data from a plurality of seismic sources using a compressive sensing sampling scheme, the at least one vessel driven at a constant speed while permitting natural causes to affect the constant speed; b) constructing an optimization model that relates the blended seismic data to unblended seismic data; c) performing sparse inversion, via a computer processor, on the optimization model to yield a result; d) estimating high-amplitude coherent energy from the result; e) re-blending the high-amplitude coherent energy; and f) computing a deblended seismic data by attenuating at least a portion of the high-amplitude coherent energy from the blended seismic data. 2. The method of claim 1 , wherein steps c) to f) are iteratively repeated until a desired deblended data is computed. 3. The method of claim 1 , wherein the sparse inversion is by nonmonotone alternating direction method. 4. The method of claim 1 , wherein the optimization model is given by b=Mu, wherein b is the blended seismic data, u is the unblended seismic data, and M is a blending operator. 5. The method of claim 1 , wherein performing the sparse inversion provides at least an approximation of the unblended seismic data u. 6. The method of claim 1 , wherein the high-amplitude coherent energy is subtracted from the blended seismic data after performing the re-blending of the high-amplitude coherent energy. 7. The method of claim 1 , where the high-amplitude coherent energy is selected from, the group consisting of: direct arrival energy, ground roll, mud roll, multiples, near-surface scattering, topographic scattering, noise generated by permafrost, platform, surveys nearby, and any combination thereof. 8. The method of claim 1 , wherein the natural causes cause the at least one vessel to have a variable speed. 9. The method of claim 8 , wherein the blended seismic data is acquired via a plurality of vessels. 10. The method of claim 8 , wherein each of the plurality of vessels covers half of a survey area. 11. A multi-stage inversion method for deblending seismic data, the method comprising: a) acquiring, via a plurality of shots fired from at least one vessel, blended seismic data from a plurality of seismic sources using a compressive sensing sampling scheme, the at least one vessel driven at a constant speed while permitting natural causes to affect the constant speed; b) constructing an optimization model that relates the blended seismic data to unblended seismic data; c) performing sparse inversion, via a computer processor, on the optimization model; d) estimating a high-amplitude noise from the optimization model, the high-amplitude noise selected from the group consisting of: direct arrival energy, ground roll, and mud roll; e) re-blending the high-amplitude noise; f) computing deblended data by attenuating at least a portion of the high-amplitude noise from the blended seismic data; and g) iteratively repeating steps c) to f) until a desired deblended data is computed. 12. The method of claim 11 , wherein the sparse inversion is by nonmonotone alternating direction method. 13. The method of claim 11 , wherein the optimization model is given by b=Mu, wherein b is the blended seismic data, u is the unblended seismic data, and M is a blending operator. 14. The method of claim 11 , wherein performing the sparse inversion provides at least an approximation of the unblended seismic data u. 15. The method of claim 11 , wherein the high-amplitude noise is subtracted from the blended seismic data after performing the re-blending of the high-amplitude noise. 16. A method for jointly deblending and reconstructing seismic data, the method comprising: acquiring, via a plurality of shots fired from at least one vessel, blended seismic data from a plurality of seismic sources using a compressive sensing sampling scheme, the at least one vessel driven at a constant speed while permitting natural causes to affect the constant speed; constructing an optimization model that relates the blended seismic data, unblended seismic data, and a restriction operator that maps data from a grid of reconstructed seismic sources to a grid of observed seismic sources; performing sparse inversion, via a computer processor, on the optimization model, a high-amplitude energy being estimated from the optimization model, the high-amplitude energy being re-blended; and computing a deblended data by attenuating at least a portion of the high-amplitude energy. 17. The method of claim 16 , wherein the blended seismic data is acquired by a non-uniform shooting pattern. 18. The method of claim 16 , wherein the sparse inversion is by nonmonotone alternating direction method. 19. The method of claim 16 , wherein the optimization model is given by b=MRu, wherein b is the blended seismic data, u is the unblended seismic data, M is a blending operator, and R is the restriction operator. 20. The method of claim 16 , wherein the performing of the sparse inversion provides at least an approximation of the unblended seismic data u.
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