Coherent noise attenuation method

1. A method for denoising input seismic data d, the method comprising:

receiving the input seismic data d recorded in a first domain by seismic receivers, wherein the input seismic data d includes pure seismic data ss relating to an exploration source and coherent noise data n generated by a man-made device;

generating a vector model m as a vector in a second domain, which is different from the first domain, to describe the input seismic data d, wherein the vector model m includes a first sub-model for the pure seismic data ss and a second sub-model for the man-made device; and

processing the vector model m to obtain an output seismic dataset d′ indicative of seismic data substantially free of the coherent noise data n generated by the man-made device.

2. The method of claim 1 , wherein the vector model m further includes a third sub-model associated with another man-made device.

3. The method of claim 2 , wherein the step of generating includes jointly and simultaneously deriving the first sub-model associated with the pure seismic data and the second and third sub-models associated with the man-made device and the another man-made device.

4. The method of claim 1 , wherein the step of processing comprises:

computing the model m by solving an inverse problem based on an L transform; and

applying an L′ transform to the model m to obtain the output seismic dataset d′.

5. The method of claim 1 , wherein the step of processing comprises:

computing the model m by solving an inverse problem based on an L transform;

applying an L′ transform to the model m to obtain the noise data n; and

subtracting the noise data n from the input seismic data d to obtain the output seismic dataset d′.

6. The method of claim 1 , further comprising:

generating an image of a surveyed subsurface based on the output seismic dataset d′.

7. The method of claim 1 , wherein the first domain is a time-space domain.

8. The method of claim 1 , wherein the second domain is one of a radon domain, frequency-wave number domain, tau-p domain, parabolic domain, shifted hyperbola domain, singular value decomposition domain, rank reduction domain and curvelet domain.

9. The method of claim 1 , wherein the man-made device is one of a streamer bird, paravane, diverter, tail buoy or streamer steering device.

10. The method of claim 1 , wherein the noise data n is symmetric relative to a temporal axis.

11. The method of claim 1 , wherein the step of processing comprises:

computing the model m by solving an inverse problem based on an L transform,

wherein the L transform includes exponential terms.

12. The method of claim 11 , wherein exponential terms corresponding to the man-made device have an exponent that is proportional to a distance between the location of the man-made device and a receiver responsible for recording a corresponding trace.

13. The method of claim 1 , wherein the input seismic data d includes only pressure measurements, or only particle motion measurements, or a combination of pressure measurements and particle motion measurements.

14. A computing device for denoising input seismic data d, the computing device comprising:

an interface for receiving the input seismic data d recorded in a first domain by seismic receivers, wherein the input seismic data d includes pure seismic data ss relating to an exploration source and coherent noise data n generated by a man-made device; and

a processor connected to the interface and configured to,

generate a vector model m as a vector in a second domain, which is different from the first domain, to describe the input seismic data d, wherein the vector model m includes a first sub-model for the pure seismic data ss and a second sub-model for the man-made device, and

process the vector model m to obtain an output seismic dataset d′ indicative of seismic data substantially free of the coherent noise data n generated by the man-made device.

15. The computing device of claim 14 , wherein the vector model m further includes a third sub-model associated with another man-made device.

16. The computing device of claim 15 , wherein the processor is further configured to:

jointly and simultaneously derive the first sub-model associated with the pure seismic data and the second and third sub-models associated with the man-made device and the another man-made device.

17. The computing device of claim 14 , wherein the processor is further configured to:

compute the model m by solving an inverse problem based on an L transform; and

apply an L′ transform to the model m to obtain the output seismic dataset d′.

18. The computing device of claim 14 , wherein the processor is further configured to:

compute the model m by solving an inverse problem based on an L transform;

apply an L′ transform to the model m to obtain the noise data n; and

subtract the noise data n from the input seismic data d to obtain the output seismic dataset d′.

19. The computing device of claim 14 , wherein the first domain is a time-space domain and the second domain is one of a radon domain, frequency-wave number domain, tau-p domain, parabolic domain, shifted hyperbola domain, singular value decomposition domain, rank reduction domain and curvelet domain.

20. A non-transitory computer readable medium including computer executable instructions, wherein the instructions, when executed by a computer, implement a method for denoising input seismic data d, the method comprising:

receiving the input seismic data d recorded in a first domain by seismic receivers, wherein the input seismic data d includes pure seismic data ss relating to an exploration source and coherent noise data n generated by a man-made device;

generating a vector model m as a vector in a second domain, which is different from the first domain, to describe the input seismic data d, wherein the vector model m includes a first sub-model for the pure seismic data ss and a second sub-model for the man-made device; and

processing the vector model m to obtain an output seismic dataset d′ indicative of seismic data substantially free of the coherent noise data n generated by the man-made device.