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[FEA] Least-squares and Gauss-Newton algorithm to improve CRE semblance results #8

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@Dirack

Description

@Dirack

🎉 Feature request

Is your feature request related to a problem? Please describe.

The search of the optimal CRE trajectory could improve with another algorithm using semblance and local optimization.

Describe the solution you'd like
.
To get optimal CRE trajectory and gather changing the RNIP and BETA parameters and calculating the semblance.

Describe alternatives you've considered

Use the same algorithm available in the paper nonhyperbolic common reflection surface to get the minimum error (maximum semblance) of the difference between the traveltime approximation curve and the CRE gather varying RNIP and BETA.

Additional context

Use the CRE traveltime equation and calculate the derivatives of the traveltime curve in relation to the CRS parameters RNIP and BETA. The equation is in the image above:

Screenshot from 2019-12-25 22-43-51

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