Sediment Transport Inversion L1-422
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
q_b = 8\cdot (tau\cdot - tau\cdot _c) \cdot \cdot 1.5 \cdot \sqrt{(s-1)\cdot g\cdot d \cdot \cdot 3) (MPM); q_s = c_a \cdot u \cdot h (van Rijn suspended)Sediment Transport Inversion: Sediment transport inversion: infer bed material size distribution and critical shear stress from bedload and suspended transport measurements. The forward operator produces the measurement through a 3-node primitive DAG (M.mpm.bedload_formula…); recovery is posed as a parameter_estimation problem. Difficulty tier delta=3 with effective condition number kappa_eff~40; armoring_effect, wash_load_contamination set the accuracy floor at the Omega boundary. See the forward_model field for the closed-form equation.
L-DAG
Well-posedness W
- Existence:
- true
- Uniqueness:
- true
- Stability:
- conditional
- κ:
- 1000
Existence of the recovered sediment_flux_parameter_vector is guaranteed within the declared Omega bounds. Uniqueness holds on the measurement-supported subspace; out-of-support modes are controlled by declared priors. Stability is conditionally stable (kappa_eff ~= 40); armoring_effect dominates the stability cliff; the remaining mismatch parameters contribute higher-order bias terms. Lognormal sets the irreducible data-fidelity floor.
Solvability C
- Solver class:
- learned [MPM_formula_fit or neural_network_sediment_flux]
- Convergence rate q:
- 2
- Complexity:
- O(N_measurements) for formula-based inversion per iteration