SYSTEM AND METHOD FOR DATA INVERSION WITH PHASE UNWRAPPING
First Claim
1. A computer-implemented method for inverting data from an area of interest to determine physical properties of the area of interest comprising:
- a. transforming the data into a Fourier frequency domain to obtain frequency domain data wherein the frequency domain data includes an amplitude portion and a phase portion;
b. performing phase unwrapping of the phase portion of the frequency domain data to generate an unwrapped phase portion wherein the phase unwrapping comprisestaking a gradient of the phase portion,adjusting the gradient to lie in a principal [−
π
,+π
] range to create an adjusted gradient,setting the adjusted gradient equal to a discretization of the gradient applied to the unwrapped phase portion, andsolving for the unwrapped phase portion by applying a preconditioner to a set of linear equations; and
c. inverting the unwrapped phase portion to determine the physical properties of the area of interest, wherein the transforming, performing phase unwrapping, and inverting steps are performed by a computer processor.
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Abstract
A system and computer-implemented method for inverting data from an area of interest to determine physical properties of the area of interest is disclosed. The method includes transforming the data into a Fourier frequency domain to obtain frequency domain data wherein the frequency domain data includes an amplitude portion and a phase portion, performing phase unwrapping of the phase portion of the frequency domain data to generate an unwrapped phase portion, and inverting the unwrapped phase portion to determine the physical properties of the area of interest. The method may also extrapolate the phase. The data inverted may be, for example, seismic data or synthetic aperture radar data. The system includes a data source, a user interface, and a processor configured to execute computer modules designed to execute the method.
49 Citations
15 Claims
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1. A computer-implemented method for inverting data from an area of interest to determine physical properties of the area of interest comprising:
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a. transforming the data into a Fourier frequency domain to obtain frequency domain data wherein the frequency domain data includes an amplitude portion and a phase portion; b. performing phase unwrapping of the phase portion of the frequency domain data to generate an unwrapped phase portion wherein the phase unwrapping comprises taking a gradient of the phase portion, adjusting the gradient to lie in a principal [−
π
,+π
] range to create an adjusted gradient,setting the adjusted gradient equal to a discretization of the gradient applied to the unwrapped phase portion, and solving for the unwrapped phase portion by applying a preconditioner to a set of linear equations; and c. inverting the unwrapped phase portion to determine the physical properties of the area of interest, wherein the transforming, performing phase unwrapping, and inverting steps are performed by a computer processor. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8)
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9. A system for inverting data from an area of interest to determine physical properties of the area of interest comprising:
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a. a data source containing computer-readable data; b. a processor configured to execute computer-readable code from computer modules, the computer modules comprising; i. a domain transformation module for transforming data into a Fourier frequency domain; ii. a phase preparation module for phase unwrapping; and iii. an inversion module; and c. an user interface. - View Dependent Claims (10, 11, 12, 13, 14)
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15. An article of manufacture comprising a computer readable medium having a computer readable code embodied therein, the computer readable program code adapted to be executed to implement a method for inverting data from an area of interest to determine physical properties of the area of interest, the method comprising:
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a. transforming the data into a Fourier frequency domain to obtain frequency domain data wherein the frequency domain data includes an amplitude portion and a phase portion; b. performing phase unwrapping of the phase portion of the frequency domain data to generate an unwrapped phase portion; and c. inverting the unwrapped phase portion to determine the physical properties of the area of interest.
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Specification