Full Waveform Inversion (FWI) — subsurface velocity imaging L1-273

GeophysicsSeismic FWI (crown jewel of PDE inverse problems)δ=50 · frontierL_DAG = 4.5📋 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.

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Forward model E

r h o d^{2} u / d t^{2} - d i v (C : e p s (u)) = f (t); c hi = (1/2) ∣∣ d_{o} b s - d_{c} a l ∣ ∣^{2}; g r a d_{m} c hi v iaa d j o in t

Full Waveform Inversion (FWI) — subsurface velocity imaging forward model.

L-DAG

L.wave_propagate -> L.adjoint_wave -> L.gradient_integrate -> int.temporal

L.wave_propagateL.adjoint_waveL.gradient_integrateint.temporal

Well-posedness W

Existence:: true
Uniqueness:: true
Stability:: unstable
κ:: 2400

Highly non-convex; cycle-skipping from poor initial model; frontier-level inverse problem.

Solvability C

Solver class:: Time-domain-FWI, Frequency-domain-FWI, FWI-Net
Convergence rate q:: 1
Complexity:: O(N log N) per iteration

Specs (0)

No L2 specs registered yet for this principle.