Electrical Resistivity Tomography (ERT) — near-surface L1-283

GeophysicsDC-resistivity near-surface imagingδ=5 · challengingL_DAG = 3.2📋 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

d i v (σ g r a d p hi) = - I d e l t a (x_{s} r c); m e a s u r e V a t r e m o t ee l ec t r o d es

Electrical Resistivity Tomography (ERT) — near-surface forward model.

L-DAG

L.current_injection -> L.poisson_steady -> L.regularize -> int.spatial

L.current_injectionL.poisson_steadyL.regularizeint.spatial

Well-posedness W

Existence:: true
Uniqueness:: true
Stability:: conditional
κ:: 500

Conditional stability; mismatch parameters dominate at Omega bounds.

Solvability C

Solver class:: ResIPy, BERT, ERT-Net
Convergence rate q:: 1.5
Complexity:: O(N log N) per iteration

Specs (0)

No L2 specs registered yet for this principle.