Seismic Travel-Time Tomography — ray-based velocity imaging L1-272

GeophysicsFirst-arrival travel-time tomographyδ=5 · challengingL_DAG = 3.3📋 Stub — not mineable

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Unclaimed Principle — open for contribution

This Principle is declared in the catalog but has no reference solver, no pinned dataset, and is not registered on-chain. There is no reward pool. Submitting a cert against this Principle today will record the cert for reproducibility but pay zero PWM.

To claim it as a Bounty #7 contribution: open a PR adding (1) a reference solver, (2) ≥1 dataset pinned to IPFS, (3) updates to the L3 manifest with dataset CIDs. After verifier-agent triple-review, the founders' 3-of-5 multisig signs PWMRegistry.register() and the Principle becomes mineable.

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Forward model E

t = in t_{r} a y 1/ v (x) d s; l in e a r i z e dd t = in t_{r} a y (- 1/ v_{0}^{2}) d v (x) d s

Seismic Travel-Time Tomography — ray-based velocity imaging forward model.

L-DAG

L.eikonal -> L.ray_trace -> L.linearize -> int.temporal

L.eikonalL.ray_traceL.linearizeint.temporal

Well-posedness W

Existence:: true
Uniqueness:: true
Stability:: conditional
κ:: 600

Ill-posed; null space for regions with no ray coverage.

Solvability C

Solver class:: SIRT, LSQR, Tomo-UNet
Convergence rate q:: 1.5
Complexity:: O(N log N) per iteration

Specs (0)

No L2 specs registered yet for this principle.