{"artifact_id":"L1-425","layer":"L1","title":"Groundwater Contaminant Transport Inversion","domain":"Environmental Science","sub_domain":"Subsurface hydrology","physics_fingerprint":{"L_DAG":4.5,"title":"Groundwater Contaminant Transport Inversion","domain":"Environmental Science","carrier":"N/A","primitives":["D.space","S.ade.solute_transport","O.bayesian.heterogeneous_K"],"sub_domain":"Subsurface hydrology","noise_model":"measurement_gaussian","problem_class":"nonlinear_inverse","solution_space":"3D_hydraulic_conductivity","difficulty_delta":5,"integration_axis":"3d_aquifer","sensing_mechanism":"groundwater_monitoring_network"},"observable_profile":{"metric":"hydraulic_head_RMSE_m","regime":"Existence of the recovered 3D_hydraulic_conductivity 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 ~= 2000); density_dependent_flow_effects dominates the stability cliff; the remaining mismatch parameters contribute higher-order bias terms. Measurement gaussian sets the irreducible data-fidelity floor.","secondary":"concentration_RMSE_mg_L"},"size_tiers":{"center_spec":{"omega":{"N_wells":20,"log_K_variance":2.0,"domain_area_km2":1.0,"contamination_years":20},"input_format":"measurement_only","problem_class":"nonlinear_inverse","forward_operator":"groundwater_monitoring_network","epsilon_fn_center":"0.1 hydraulic_head_RMSE_m"},"omega_bounds":{"N_wells":[5,200],"log_K_variance":[0.5,6.0],"domain_area_km2":[0.01,100],"contamination_years":[1,100]},"epsilon_bounds":{"hydraulic_head_RMSE_m":[0.01,1.0]},"allowed_problem_classes":["nonlinear_inverse"],"allowed_omega_dimensions":["N_wells","domain_area_km2","log_K_variance","contamination_years"],"allowed_forward_operators":["groundwater_monitoring_network"]},"hardness_fn":{"type":"epsilon_fn","delta":5,"kappa":100000.0,"metric":"hydraulic_head_RMSE_m"},"initiator_dataset":[{"name":"primary","weight":1.0,"ipfs_cid":null,"license_hash":null}],"status":"testnet","staked_pwm":0.0,"chain_hash":"0x3dd2adc56394f89401e5d71e73c89bda9d70c6ed029a49795553cc24bebdf97e","chain_tx_hash":"0x0ab705cd87e01a2437568aec04784551a43e9458eae2570f61828c7ceaaf2433","chain_block":41555239}