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Compositional Reservoir Simulation L1-459

Petroleum EngineeringEOS-based simulationδ=5 · challengingL_DAG = 4.5📋 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

Compositional Reservoir Simulation: Compositional simulation: track N_c component flow with EOS phase equilibrium calculations for gas condensate and miscible floods. The forward operator produces the measurement through a 3-node primitive DAG (M.eos.peng_robinson…); recovery is posed as a parameter_estimation problem. Difficulty tier delta=5 with effective condition number kappa_eff~5000; EOS_tuning_uncertainty, compositional_gradient_uncertainty set the accuracy floor at the Omega boundary. See the forward_model field for the closed-form equation.

L-DAG

N.pointwise -> S.flash.rachford_rice -> O.material_balance.compositional
N.pointwiseS.flash.rachford_riceO.material_balance.compositional

Well-posedness W

Existence:
true
Uniqueness:
true
Stability:
conditional
κ:
1000000

Existence of the recovered 3D_composition_pressure 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 ~= 5000); EOS_tuning_uncertainty dominates the stability cliff; the remaining mismatch parameters contribute higher-order bias terms. Measurement gaussian sets the irreducible data-fidelity floor.

Solvability C

Solver class:
sparse-recovery [fully_implicit_compositional (CMG-GEM] | classical [ECLIPSE300)]
Convergence rate q:
2
Complexity:
O(N_cells * N_c ** 2 * N_Newton * N_timesteps) for flash calculations per iteration

Specs (0)

No L2 specs registered yet for this principle.