Azimuthally-dependent scattering potentials and full waveform inversion sensitivities in low-loss viscoelastic orthorhombic media
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Bibliographic record
Abstract
The problem of seismic wave scattering from anisotropic and attenuative inclusions is analyzed within the mathematical framework of the Born approximation. Specifically, a Born scattering model is used to extract scattering potentials, which generalize linearized reflection coefficients and sensitivity kernels, and which in the latter form are a basis for multi-parameter seismic full waveform inversion updates. To derive the scattering potentials, a point scatterer comprising a perturbation in each medium property is inserted in a homogeneous isotropic background. The amplitudes, or scattering radiation patterns, associated with incoming and outgoing wave vector pairs provide the weights used to simultaneously invert for viscoelastic and anisotropic medium properties. Analysis of the angle-dependence of the scattering patterns provide qualitative and quantitative insight into inter-parameter trade-offs and cross-talk. We explicitly derive scattering potentials for elastic and viscoelastic P-to-P, P-to-SV and P-to-SH waves in weakly-anisotropic, low-loss viscoelastic orthorhombic media. We assume the background or reference medium to be either isotropic-elastic or isotropic-viscoelastic. The results generalize reflection coefficient expressions derived from linearization of exact solutions of the Zoeppritz equation for transversely isotropic viscoelastic media with both vertical and horizontal axes of symmetry.
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Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
Machine scores (provisional)
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Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
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