{"artifact_id":"L1-415","layer":"L1","title":"Advection-Dispersion Transport Inversion","domain":"Environmental Science","sub_domain":"Contaminant transport","physics_fingerprint":{"L_DAG":3.0,"title":"Advection-Dispersion Transport Inversion","domain":"Environmental Science","carrier":"N/A","primitives":["D.space","O.tikhonov.regularization","S.fdm.crank_nicolson"],"sub_domain":"Contaminant transport","noise_model":"gaussian","problem_class":"linear_inverse","solution_space":"1D_concentration_source","difficulty_delta":3,"integration_axis":"groundwater_domain","sensing_mechanism":"tracer_concentration_measurement"},"observable_profile":{"metric":"source_concentration_RMSE_mg_L","regime":"Existence of the recovered 1D_concentration_source 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 ~= 200); velocity_field_uncertainty dominates the stability cliff; the remaining mismatch parameters contribute higher-order bias terms. Gaussian sets the irreducible data-fidelity floor.","secondary":"BTC_fit_RMSE"},"size_tiers":{"center_spec":{"omega":{"v_m_d":1.0,"N_time_steps":100,"domain_length_m":100,"N_monitoring_wells":5},"input_format":"measurement_only","problem_class":"linear_inverse","forward_operator":"tracer_concentration_measurement","epsilon_fn_center":"10 source_concentration_RMSE_mg_L"},"omega_bounds":{"v_m_d":[0.01,10.0],"N_time_steps":[20,500],"domain_length_m":[10,10000],"N_monitoring_wells":[2,50]},"epsilon_bounds":{"source_concentration_RMSE_mg_L":[1,100]},"allowed_problem_classes":["linear_inverse"],"allowed_omega_dimensions":["N_monitoring_wells","domain_length_m","v_m_d","N_time_steps"],"allowed_forward_operators":["tracer_concentration_measurement"]},"hardness_fn":{"type":"epsilon_fn","delta":3,"kappa":5000,"metric":"source_concentration_RMSE_mg_L"},"initiator_dataset":[{"name":"primary","weight":1.0,"ipfs_cid":null,"license_hash":null}],"status":"testnet","staked_pwm":0.0,"chain_hash":"0xa982b82c2e89c34a87ed45594e4867563d6f493f9cac877862437393c97bf127","chain_tx_hash":"0xd16ee01fdcb8d5fc05cbac1e94cc5e662e757f105b08254025388796ff83ec2b","chain_block":41555237}