Device and method for estimating time-shifts
US-9217803-B2 · Dec 22, 2015 · US
US9784868B2 · US · B2
| Field | Value |
|---|---|
| Publication number | US-9784868-B2 |
| Application number | US-201414295663-A |
| Country | US |
| Kind code | B2 |
| Filing date | Jun 4, 2014 |
| Priority date | Jun 10, 2010 |
| Publication date | Oct 10, 2017 |
| Grant date | Oct 10, 2017 |
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Apparatus, computer instructions and method for deghosting seismic data related to a subsurface of a body of water. The method includes inputting data recorded by detectors that are towed by a vessel, the data being associated with waves travelling from the subsurface to the detectors; applying a migration procedure to the data to determine a first image of the subsurface; applying a mirror migration procedure to the data to determine a second image of the subsurface; joint deconvoluting the first image and the second image for deghosting a reflectivity of the subsurface; and generating a final image of the subsurface based on the deghosted reflectivity of the joint deconvoluting step.
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What is claimed is: 1. A method for deghosting seismic data related to a subsurface of a body of water, the method comprising: receiving data recorded with seismic detectors distributed along a streamer, the data being associated with waves travelling from the subsurface to the seismic detectors; applying with a processing apparatus a migration procedure to the data to determine a first dataset indicative of the subsurface; applying with the processing apparatus a mirror migration procedure to the data to determine a second dataset indicative of the subsurface; joint deconvoluting with the processing apparatus the first dataset and the second dataset for deghosting a reflectivity of the subsurface; and generating with the processing apparatus an image of the subsurface based on the deghosted reflectivity of the joint deconvoluting step. 2. The method of claim 1 , wherein the deghosting is performed during an imaging phase and not in a preprocessing phase with a processing apparatus. 3. The method of claim 1 , wherein no datuming step is performed on the data. 4. The method of claim 1 , wherein a travelling angle of the waves propagating from the subsurface to the detectors or from a surface of the water to the detectors is not restricted. 5. The method of claim 1 , wherein the data is three dimensional data and the migration, the mirror migration and the joint deconvolution are three dimensional procedures. 6. The method of claim 1 , wherein the data are collected from streamers having birds that are controlled to achieve a curved profile. 7. The method of claim 1 , wherein the migration procedure comprises: recursively synthesizing an incident wave D(x, y, z+Δz, t) at a depth z+Δz from a previous incident wave D(x, y, z, t) at depth z. 8. The method of claim 1 , wherein the mirror migration procedure comprises: recursively synthesizing an up-travelling wave U(x, y, z+Δz, t) at a depth z+Δz from a previous up-travelling wave U(x, y, z, t) at a depth z. 9. The method of claim 1 , wherein the joint deconvoluting comprises: determining the reflectivity r(x, y, z), a minimum phase transfer function g min (z), and a maximum phase transfer function g max (z) based on equations: d 1 ( x,y,z )= g min ( z )* r ( x,y,z ), and d 2 ( x,y,z )= g max ( z )* r ( x,y,z ), wherein z is a depth of a point relative to the surface of the water, and x and y are coordinates of the point in a plane substantially parallel with the surface of the water. 10. The method of claim 9 , wherein the g min (z) and g max (z) are three dimensional functions. 11. The method of claim 1 , wherein the migration is a depth migration. 12. The method of claim 1 , wherein the migration is a time migration. 13. The method of claim 1 , wherein the joint deconvolution comprises: calculating a cost function C for determining the reflectivity, wherein the cost function C is given by: C=Σ (x,y,z)εV {[ d 1 ( x,y,z )− g min ( z )* r ( x,y,z )] 2 +[ d 2 ( x,y,z )− g max ( z )* r ( x,y,z )] 2 }, where d 1 (x, y, z) is the first dataset, d 2 (x, y, z) is the second dataset, g min (z) is a minimum phase transfer function, g max (z) is a maximum phase transfer function, z is a depth of a point relative to the surface of the water, x and y are coordinates of the point in a plane substantially parallel with the surface of the water, and V is a predetermined volume. 14. The method of claim 1 , further comprising: applying a (τ, p x , p y ) transform to the first dataset d 1 (x, y, z) and the second dataset d 2 (x, y, z), to transform the first dataset d 1 (x, y, z) into D 1 (p x , p y , τ) and the second dataset d 2 (x, y, z) into D 1 (p x , p y , τ). 15. The method of claim 1 , wherein the data includes recordings from hydrophones and geophones. 16. The method of claim 15 , wherein a result of the migration procedure is d 1 (x, y, z) and a result of the mirror migration procedure is d 2 (x, y, z) for hydrophone type receivers and a result of the migration procedure is d 3 (x, y, z) and a result of the mirror migration procedure is d 4 (x, y, z) for geophones. 17. The method of claim 16 , further comprising: generating the image using a joint deconvolution of d 1 (x, y, z), d 2 (x, y, z), d 3 (x, y, z), and d 4 (x, y, z) and based on the following equations: d 1 ( x,y,z )= g h min ( z )* r ( x,y,z ); d 2 ( x,y,z )= g h max ( z )* r ( x,y,z ); d 3 ( x,y,z )= g g min ( z )* c ( z )* r ( x,y,z ); and d 4 ( x,y,z )= g g max ( z )* c ( z )* r ( x,y,z ), where g h min and g g min are minimum phase transfer functions, g h max (z) and g g max (z) are maximum phase transfer functions, z is a depth of a point relative to the surface of the water, x and y are coordinates of the point in a plane substantially parallel with the surface of the water, and c(z) is a calibration operator. 18. A processing device for deghosting seismic data related to a subsurface of a body of water, the processing device comprising: an interface configured to receive data recorded by detectors that are distributed along a streamer, the data being associated with waves travelling from the subsurface to the detectors; and a processor connected to the interface and configured to, apply a migration procedure to the data to determine a first dataset representative of the subsurface, apply a mirror migration procedure to the data to determine a second dataset representative of the subsurface, joint deconvolute the first dataset and the second dataset for deghosting a reflectivity of the subsurface, and generate an image of the subsurface based on the deghosted reflectivity of the joint deconvoluting step. 19. The processing device of claim 18 , wherein the processor is configured to deghost the image during an imaging phase and not in a preprocessing phase. 20. A non-transitory computer readable medium including computer executable instructions, wherein the instructions, when executed, implement a method for deghosting seismic data related to a subsurface of a body of water, the method comprising: inputting data recorded by detectors that are distributed along a streamer, the data being associated with waves travelling from the subsurface to the detectors; applying a migration procedure to the data to determine a first dataset representative of the subsurface; applying a mirror migration procedure to the data to determine a second dataset representative of the subsurface; joint deconvoluting the first dataset and the second dataset for deghosting a reflectivity of the subsurface; and generating an image of the subsurface based on the deghosted reflectivity of the joint deconvoluting step.
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