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US4594693A
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Seismic trace interpolation using f-k filtering
Assignee: Mobil Oil AS
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Filing: 1983-11-04
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Granted: 1986-06-10
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Expires: 2003-11-04
Abstract
Abstract In seismic exploration, aliasing caused by coarse sampling along a line of exploration is corrected by trace interpolation. The interpolated traces are obtained by inserting zero amplitude traces between seismic traces. Transformation into the f-k domain and filtering of the aliased regions in the f-k domain produces properly interpolated traces when transformed to the x-t domain.
Inventors
- 👤 Keh Pann
- 👤 Jerry L. Fields
Bibliographic Details
Application Number
—
Jurisdiction
US
Data Source
google_patents
Last Synchronized
2026-10-27 16:47
CPC Classifications
G; G01; G01V; G01V1/00; G01V1/28; G01V2210/00; G01V2210/20; G01V2210/50; G01V2210/57
Claims Analysis
Total Claims: 8
Claim 1
Independent Claim
112 words
In seismic exploration of the earth's formations, the method of suppressing aliasing caused by coarse sampling along a line of exploration comprising: gathering seismic traces representing the amplitude of seismic reflections as a function of time and distance along said line of exploration; inserting zero amplitude traces between said seismic traces; transforming said traces into an f-k array of digital samples representing amplitude as a function of frequency and wave number; filtering said f-k array with a filter which mutes all samples in a region of frequency and wave number which has aliasing; and transforming the filtered f-k array into a seismic section representing amplitude as a function of time and distance.
Claim 2
Dependent Claim
112 words
In seismic exploration of the earth's formations, the method of suppressing aliasing caused by coarse sampling along a line of exploration comprising: gathering seismic traces representing the amplitude of seismic reflections as a function of time and distance along said line of exploration; inserting zero amplitude traces between said seismic traces; transforming said traces into an f-k array of digital samples representing amplitude as a function of frequency and wave number; filtering said f-k array with a filter which mutes all samples in a region of frequency and wave number which has aliasing; and transforming the filtered f-k array into a seismic section representing amplitude as a function of time and distance.
Claim 3
Dependent Claim
33 words
The method recited in claim 1 further comprising: scaling the total energy of said f-k array up by a factor of the interpolation ratio of total traces after interpolation to input seismic traces.
Claim 4
Dependent Claim
44 words
The method recited in claim 2 wherein the ratio of total traces after interpolation to input seismic traces is denoted N, and wherein the step of scaling includes scaling the total energy of said f-k array up by a factor of N 2 .
Claim 5
Dependent Claim
23 words
The method recited in claim 1 wherein the step of filtering includes multiplying all samples in said region which has aliasing by zero.
Claim 6
Dependent Claim
35 words
The method recited in claim 3 wherein one zero amplitude trace is inserted between each input seismic trace and wherein the total energy of said f-k array is scaled up by a factor of 4.
Claim 7
Dependent Claim
35 words
The method recited in claim 3 wherein two zero amplitude traces are inserted between each input seismic trace and wherein the total energy of said f-k array is scaled up by a factor of 9.
Claim 8
Dependent Claim
35 words
The method recited in claim 3 wherein three zero amplitude traces are inserted between each input seismic trace and wherein the total energy of said f-k array is scaled up by a factor of 16.
References Cited (Backward Citations)
USPTO Annuity & Maintenance Windows
| Annuity Stage | Window Opens | Payment Deadline | Surcharge Period Until | Estimated Fee | Status |
|---|---|---|---|---|---|
| 3.5 Years (Year 4) | 1989-06-09 | 1989-12-09 | 1990-06-10 | $2000.00 | Window Closed / Lapsed |
| 7.5 Years (Year 8) | 1993-06-09 | 1993-12-09 | 1994-06-10 | $3760.00 | Window Closed / Lapsed |
| 11.5 Years (Year 12) | 1997-06-09 | 1997-12-09 | 1998-06-10 | $7700.00 | Window Closed / Lapsed |