Systems and methods for focused blind deconvolution
AssigneeMassachusetts Institute of Technology
InventorsPawan Bharadwaj Pisupati, Laurent Demanet, Aime Fournier
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Abstract
Systems and methods for performing focused blind deconvolution of signals received by a plurality of sensors are disclosed. In some embodiments, this may include determining a cross-correlation of first and second signals, obtaining a cross-correlation of a first response function and a second response function based on the cross-correlation of the first and second signals and subject to a first constraint that the first and second response functions are maximally white, and obtaining the first and second response functions based on the cross-correlation of the first and second response functions and subject to a second constraint that the first and second response functions are maximally front-loaded.
Claims33
A system comprising:
- a first sensor configured to detect a first signal;
- a second sensor spaced from the first sensor and configured to detect a second signal;
- and
- a controller operatively coupled to the first and second sensors, wherein the controller includes one or more processors configured to:
- determine a cross-correlation of the first and second signals,
- obtain a cross-correlation of a first response function and a second response function based on the cross-correlation of the first and second signals and subject to a first constraint that the first and second response functions are maximally white, and
- obtain the first and second response functions based on the cross-correlation of the first and second response functions and subject to a second constraint that the first and second response functions are maximally front-loaded.
A method comprising:
- determining a cross-correlation of each pair of signals of a plurality of signals;
- obtaining a cross-correlation of response functions corresponding to each pair of signals based on the cross-correlations of the pairs of signals and subject to a first constraint that the response functions are maximally white;
- and
- obtaining the response functions based on the cross-correlations of the response functions and subject to a second constraint that the response functions are maximally front-loaded.
At least one non-transitory computer-readable storage medium storing processor executable instructions that, when executed by at least one hardware processor, cause the at least one hardware processor to perform a method comprising:
- determining a cross-correlation of a first signal and a second signal;
- obtaining a cross-correlation of a first response function and a second response function based on the cross-correlation of the first and second signals and subject to a first constraint that the first and second response functions are maximally white;
- and
- obtaining the first and second response functions based on the cross-correlation of the first and second response functions and subject to a second constraint that the first and second response functions are maximally front-loaded.
A drilling system comprising:
- a tool configured to be positioned on a drill string;
- a first sensor positioned along the drill string and configured to detect a first signal;
- a second sensor positioned along the drill string and spaced from the first sensor, the second sensor configured to detect a second signal;
- and
- a controller comprising:
- at least one hardware processor, and
- at least one non-transitory computer-readable storage medium storing processor executable instructions that, when executed by the at least one hardware processor, cause the at least one hardware processor to perform a method comprising:
- determining a cross-correlation of the first signal and the second signal,
- obtaining a cross-correlation of a first response function and a second response function based on the cross-correlation of the first and second signals and subject to a first constraint that the first and second response functions are maximally white,
- obtaining the first and second response functions based on the cross-correlation of the first and second response functions and subject to a second constraint that the first and second response functions are maximally front-loaded, and
- controlling the tool based on the first and second response functions.
Dependencies are inferred from the claim text.