{
  "status": "independent_analytical_solution_evaluated_with_controlled_quadrature",
  "UTC": "2026-11-13T07:42:55.432952+00:00",
  "inputs_only_no_simulator_outputs": true,
  "physics": "Exact2D constant-K column advection-diffusion Green function; full3D solver column observable.",
  "point_kernel_formula": "Q/(4*pi*K*age)*exp(-((x-U*age)^2+y^2)/(4*K*age))",
  "finite_area_time_mean_formula": "Q/A/dt *integral0^tend (tend-max(tstart,age))*P_rect(age)dage",
  "source_Q_ug_s": 1000000.0,
  "U_m_s": 5.0,
  "K_m2_s": 50.0,
  "shape": [
    12,
    40
  ],
  "quad_rel_tolerance": 1e-10,
  "maximum_tightening_difference_ug_m2": 0.0,
  "maximum_reported_quad_vector_absolute_bound": 4.6150871351380614e-11,
  "steady_closed_Bessel_checks": [
    {
      "x_m": 1000.0,
      "closed_Bessel_ug_m2": 562.7946565745806,
      "Green_integral_ug_m2": 562.7946565745806,
      "relative_difference": 0.0
    },
    {
      "x_m": 3000.0,
      "closed_Bessel_ug_m2": 325.4645730195351,
      "Green_integral_ug_m2": 325.46457301953495,
      "relative_difference": 5.239595050248017e-16
    },
    {
      "x_m": 5000.0,
      "closed_Bessel_ug_m2": 252.1873782527914,
      "Green_integral_ug_m2": 252.18737825279123,
      "relative_difference": 6.762045656840341e-16
    },
    {
      "x_m": 9000.0,
      "closed_Bessel_ug_m2": 188.01101988873992,
      "Green_integral_ug_m2": 188.01101988873992,
      "relative_difference": 0.0
    },
    {
      "x_m": 15000.0,
      "closed_Bessel_ug_m2": 145.64886340883223,
      "Green_integral_ug_m2": 145.64886340883214,
      "relative_difference": 5.854156791589593e-16
    },
    {
      "x_m": 21000.0,
      "closed_Bessel_ug_m2": 123.10161176124645,
      "Green_integral_ug_m2": 123.10161176124642,
      "relative_difference": 2.308800756039445e-16
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    {
      "x_m": 27000.0,
      "closed_Bessel_ug_m2": 108.56828661454944,
      "Green_integral_ug_m2": 108.56828661454936,
      "relative_difference": 6.544661962684773e-16
    },
    {
      "x_m": 33000.0,
      "closed_Bessel_ug_m2": 98.20536238984961,
      "Green_integral_ug_m2": 98.20536238984972,
      "relative_difference": 1.157643889855108e-15
    }
  ],
  "CALPUFF_companion": "Predeclared Draxler Gaussian variance, not the targettruth. No simulator outputs used; source initialhorizontal sigma1m included as virtual age.",
  "Draxler_virtual_age_s": 1.2052279912359043,
  "vertical_GL8_initial_Gaussian_mass": 0.9988645254752467,
  "exact_mass_within_plusminus4sigma": 0.9999366575163338,
  "vertical_quadrature_relative_error": 0.0010721999568952827,
  "vertical_truncation_mass_fraction": 6.334248366623996e-05,
  "elapsed_seconds": 0.42908257899999924
}