Poroelasticity — Biot coupled solid/fluid L1-227

Structural MechanicsBiot consolidation theoryδ=5 · challengingL_DAG = 3.3📋 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.

Read the contribution guide →Open a claim issue →

Forward model E

d i v σ^{'} - a l p ha g r a d p = 0; (1/ M) d p / d t + a l p ha d i v (d u / d t) - d i v (k / m ug r a d p) = 0

Poroelasticity — Biot coupled solid/fluid forward model.

L-DAG

L.biot_coupling -> L.darcy_flow -> L.effective_stress -> int.temporal

L.biot_couplingL.darcy_flowL.effective_stressint.temporal

Well-posedness W

Existence:: true
Uniqueness:: true
Stability:: conditional
κ:: 440

Conditional stability; mismatch parameters dominate at Omega bounds.

Solvability C

Solver class:: FEM-Biot, MixedFEM, Biot-NN
Convergence rate q:: 1.5
Complexity:: O(N log N) per iteration

Specs (0)

No L2 specs registered yet for this principle.