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Gravity Field Inversion — density imaging L1-279
Geophysics3D gravity inversion for subsurface densityδ=5 · challengingL_DAG = 3📋 Stub — not mineable
📋
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.
Forward model E
Gravity Field Inversion — density imaging forward model.
L-DAG
L.newton_gravity -> L.linear_forward -> L.regularize -> int.spatial
L.newton_gravityL.linear_forwardL.regularizeint.spatial
Well-posedness W
- Existence:
- true
- Uniqueness:
- true
- Stability:
- unstable
- κ:
- 500
Non-unique (Coulomb's inverse potential); requires smoothness/sparsity priors.
Solvability C
- Solver class:
- Li-Oldenburg, MINIMUM-support, Gravity-NN
- Convergence rate q:
- 1.5
- Complexity:
- O(N log N) per iteration
Specs (0)
No L2 specs registered yet for this principle.