Advanced Seismic Imaging GG 6770 Tomography Inversion Project By Travis Crosby.

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Presentation transcript:

Advanced Seismic Imaging GG 6770 Tomography Inversion Project By Travis Crosby

Outline Experiment parameters Results of unregularized tomography experiment - Various Ray orientations - Various stopping criteria - Noise added (±0.05% max traveltime) Results of regularized tomography experiment - Different lambdas Jackson’s Principle determination of lambda

Tomography Experiment Parameters Real velocity model shown to the left units/s homogeneous starting model. Straight rays from left to right and top to bottom. Solve by least square steepest descent (s = [L’L] –1 L’d ), regularized and unregularized. Ratio of knowns (441 rays) to unknowns (400 grid units) is Noise added was random and 0.05% of maximum traveltime. No preconditioning used. Real Velocity Model

Unregularized Tomography Experiment 1 Rays Left to Right Rays

Unregularized Tomography Experiment 2 Rays Top to Bottom Rays

Unregularized Tomography Experiment 3 Rays Left to Right & Top to Bottom Rays

Unregularized Tomography Experiment 4 10% change stopping criteria Rays

Unregularized Tomography Experiment 5 1% change stopping criteria Rays

Unregularized Tomography Experiment 6 0.1% change stopping criteria Rays

Unregularized Tomography Experiment % change stopping criteria Rays

Unregularized Tomography Experiment % Noise Added - 0.1% change stopping criteria Rays

Regularized Tomography Experiment Lambda Rays Unregularized

Regularized Tomography Experiment Lambda Rays Unregularized

Jackson’s Principle – Determination of Lambda 0.05% Noise Added Original Data

Jackson’s Principle – Determination of Lambda Original Data Residual 1.35e-8 Optimal lambda = or 0.05*max(LtL) = 0.005

Acknowledgements Much Thanks to Ruiqing He