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ATMOSPHERIC CHEMISTRY MODELS Daniel J. Jacob Harvard University http://www-as.harvard.edu/chemistry/trop
OBJECTIVE OF ATMOSPHERIC CHEMISTRY MODELS:  QUANTIFY THE CONCENTRATIONS AND FLUXES OF ATMOSPHERIC SPECIES IN TIME AND SPACE Fires Land biosphere Human activity Lightning Ocean   physics chemistry biology Volcanoes MEASURES OF ATMOSPHERIC CONCENTRATIONS: Number density  n i   (x,  t  )  [molecules cm -3 ] Mixing ratio (mole fraction)  C i   (x,  t )  [mol/mol]
CONTINUITY EQUATION: FOUNDATION OF ATMOSPHERIC CHEMISTRY MODELS temporal change in concentration in elemental volume Mass  flux divergence  in elemental volume  (flux in – flux out) U  =  wind vector D   = molecular diffusion coefficient Production and loss rates in elemental volume advection diffusion chemistry, emissions, deposition accumulation ,[object Object],[object Object]
CONTINUITY EQUATION CANNOT BE SOLVED EXACTLY ,[object Object],[object Object],[object Object],[object Object],Define problem of interest Design model; make assumptions needed to simplify problem (computational resources, physical clarity) Evaluate model with relevant observations model development loop; Apply model:  make hypotheses, predictions Improve model, characterize its error
DISCRETIZATION OF CONTINUITY EQUATION IN SPACE: PARTITION ATMOSPHERIC DOMAIN INTO GRIDBOXES Solve continuity equation for individual gridboxes ,[object Object],[object Object]
DISCRETIZATION OF THE CONTINUITY EQUATION IN TIME: OPERATOR SPLITTING …  and integrate each process separately over discrete time steps: ,[object Object],where (similar forms for the other operators)
THE TRANSPORT OPERATOR: parameterization of turbulence ,[object Object],[object Object],Time-averaged component Fluctuating component < u’> = 0 ,[object Object],Mean advective flux Turbulent flux (covariance of  u’  and  n’ ) ,[object Object],and replace in 3-D continuity equation.  This is  1 st -order closure  for turbulence
TURBULENT COMPONENT DOMINATES VERTICAL FLUX IN LOWER ATMOSPHERE vertical wind  w T CO 2 small  large Example: CO 2  flux observations at Harvard Forest, Massachusetts
THE TRANSPORT OPERATOR: parameterization of convection Convective cloud (0.1-100 km) Model grid scale Model vertical levels updraft entrainment downdraft detrainment Convection is subgrid scale in global models and must be treated as a vertical mass exchange separate from transport by grid-scale winds. Need info on convective mass fluxes from the model meteorological driver.
THE CHEMICAL OPERATOR: consider system of  n  interacting species Solve system of  n  coupled ordinary differential equations for species System is typically “stiff” (lifetimes range over many orders of magnitude)  implicit solution method is necessary. ,[object Object],Solve e.g. by Newton’s method.  Backward Euler is stable, mass-conserving, flexible (can use other constraints such as steady-state, chemical family closure, etc… in lieu of   n  t    Unfortunately it is expensive (inversion of  n x n  matrix at each time step).  Use it in 0-D calculations! ,[object Object]
DEPOSITION PROCESSES: dry deposition ,[object Object],Lowest model level ( z 1 ) n 1 “ Aerodynamic” resistance to turbulent transport:  R a  =  z/ K  (units: s cm -1 ) Surface resistance  R c  to uptake   n o Deposition flux =  V d  n 1 “ deposition velocity” (cm s -1 ) concentration in lowest model level ,[object Object],SURFACE
DEPOSITION PROCESSES: wet deposition ,[object Object],nucleation impaction diffusion (gases, aerosols) ,[object Object],[object Object],[object Object],[object Object],large and small  aerosol particles
Eulerian  research models use assemblages of boxes exchanging mass to resolve spatial structure Lagrangian  research models use assemblages of traveling puffs not exchanging mass, and sum over all puff trajectories to resolve spatial structure LAGRANGIAN vs. EULERIAN MODELING APPROACHES n i (x,t o ) n i (x,t o  t 
HOW CAN WE USE ATMOSPHERIC OBSERVATIONS TO IMPROVE MODELS? ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],(least-squares) Our new best estimate is with error ISSUES:
INVERSE MODELING: GENERALIZATION OF CONCEPT Chemical data assimilation  follows the same principle with x = y (optimize gridded field of y from observations of y).  Method is then called  Kalman filter .   In advanced data assimilation, one wishes to optimize y( t o ) from multiple observations at  t  [ t o , t o +  t ] in a non-linear model; this requires local linearization at  t  with a tangent linear (or  adjoint ) model. ,[object Object],[object Object],[object Object],[object Object],with error covariance matrix
SOME APPLICATIONS USING THE GEOS-CHEM  GLOBAL 3-D MODEL OF TROPOSPHERIC CHEMISTRY (http://www-as.harvard.edu/chemistry/trop/geos) ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
METHYL IODIDE: TRACER OF MARINE CONVECTION IN GLOBAL ATMOSPHERIC  MODELS Loss by photolysis (~4 days), relatively uniform ocean source,  large aircraft data base [D.R. Blake, UCI] Observations Model (GEOS-CHEM)  ,[object Object],[object Object],[object Object],[object Object],Bell et al. [2002] MCI: 0.40 (obs) 0.22 (mod) MCI: 0.16 (obs) 0.14 (mod)
LONG-RANGE TRANSPORT OF POLLUTION: SURFACE OZONE ENHANCEMENTS CAUSED BY ANTHROPOGENIC EMISSIONS FROM DIFFERENT CONTINENTS   GEOS-CHEM model, July 1997 North America Europe Asia Li et al. [2001] Li et al. [2002]
COLUMN MEASUREMENT OF AN ABSORBING GAS USING SOLAR BACKSCATTER EARTH SURFACE Scattering by  Earth surface  and by atmosphere ATMOSPHERE absorption wavelength     Slant optical depth Backscattered intensity I B Slant column    
AIR MASS FACTOR (AMF) CONVERTS  SLANT COLUMN   S  TO VERTICAL COLUMN   “ Geometric AMF” (AMF G ) for non-scattering atmosphere: EARTH SURFACE 
IN SCATTERING ATMOSPHERE, AMF CALCULATION REQUIRES MODEL INFORMATION ON THE SHAPE OF THE VERTICAL PROFILE: d  (z) I o I B EARTH SURFACE RADIATIVE TRANSFER MODEL Scattering weight ATMOSPHERIC CHEMISTRY MODEL Shape factor   z number density  n(z) Palmer et al. [2001]
ATMOSPHERIC COLUMNS OF NO 2  AND FORMALDEHYDE (HCHO)  MEASURED BY SOLAR BACKSCATTER FROM  GOME ALLOW MAPPING OF NO x  AND HYDROCARBON EMISSIONS Emission NO h   (420 nm)  O 3 , RO 2 NO 2 HNO 3 1 day NITROGEN OXIDES (NO x ) NON-METHANE HYDROCARBONS Emission NMHC OH HCHO h   (340 nm)  hours CO hours BOUNDARY LAYER ~ 2 km Tropospheric NO 2  column ~ E NOx Tropospheric HCHO column ~ E NMHC   Deposition GOME SATELLITE INSTRUMENT …  but model info is needed for the vertical distributions of NO 2  and HCHO
CAN WE USE GOME TO ESTIMATE NO x  EMISSIONS? TEST IN U.S. WHERE GOOD  A PRIORI  EXISTS Comparison of GOME retrieval (July 1996) to GEOS-CHEM model fields using EPA emission inventory for NO x GOME GEOS-CHEM (EPA emissions) BIAS = +3% R = 0.79 Martin et al. [2002]
GOME RETRIEVAL OF TROPOSPHERIC NO 2 vs. GEOS-CHEM SIMULATION (July 1996) GEIA emissions scaled to 1996 Martin et al. [2002]
FORMALDEHYDE COLUMNS FROM GOME: July 1996 means BIOGENIC ISOPRENE IS THE MAIN SOURCE OF HCHO IN U.S. IN SUMMER Palmer et al. [2001]
MAPPING OF ISOPRENE EMISSIONS FOR JULY 1996 BY SCALING OF GOME FORMALDEHYDE COLUMNS   [Palmer et al., 2002] GEIA  (IGAC inventory) BEIS2 GOME COMPARE TO…
PROGRESS IN ATMOSPHERIC CHEMISTRY REQUIRES INTEGRATION OF MEASUREMENTS AND MODELS 3-D CHEMICAL  TRACER MODELS QUANTITATIVE PREDICTIONS SATELLITE OBSERVATIONS Global and continuous but  few species, low resolution AIRCRAFT OBSERVATIONS High resolution, targeted flights provide critical snapshots for model testing SURFACE OBSERVATIONS high resolution but spatially limited Source/sink inventories Assimilated  meteorological  data Chemical  and aerosol processes
NASA TRACE-P aircraft mission  over western Pacific(Mar-Apr 2001) ,[object Object],[object Object],[object Object],[object Object],Long-range transport from Europe, N. America, Africa ASIA PACIFIC P-3 Satellite data in near-real time: MOPITT TOMS SEAWIFS AVHRR LIS DC-8 3D chemical model forecasts: - ECHAM - GEOS-CHEM - Iowa/Kyushu - Meso-NH -LaRC/U. Wisconsin FLIGHT PLANNING Boundary layer chemical/aerosol processing ASIAN OUTFLOW Stratospheric intrusions PACIFIC
FURTHER READING ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

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Atmospheric Chemistry Models

  • 1. ATMOSPHERIC CHEMISTRY MODELS Daniel J. Jacob Harvard University http://www-as.harvard.edu/chemistry/trop
  • 2. OBJECTIVE OF ATMOSPHERIC CHEMISTRY MODELS: QUANTIFY THE CONCENTRATIONS AND FLUXES OF ATMOSPHERIC SPECIES IN TIME AND SPACE Fires Land biosphere Human activity Lightning Ocean physics chemistry biology Volcanoes MEASURES OF ATMOSPHERIC CONCENTRATIONS: Number density n i (x, t ) [molecules cm -3 ] Mixing ratio (mole fraction) C i (x, t ) [mol/mol]
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  • 8. TURBULENT COMPONENT DOMINATES VERTICAL FLUX IN LOWER ATMOSPHERE vertical wind w T CO 2 small large Example: CO 2 flux observations at Harvard Forest, Massachusetts
  • 9. THE TRANSPORT OPERATOR: parameterization of convection Convective cloud (0.1-100 km) Model grid scale Model vertical levels updraft entrainment downdraft detrainment Convection is subgrid scale in global models and must be treated as a vertical mass exchange separate from transport by grid-scale winds. Need info on convective mass fluxes from the model meteorological driver.
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  • 13. Eulerian research models use assemblages of boxes exchanging mass to resolve spatial structure Lagrangian research models use assemblages of traveling puffs not exchanging mass, and sum over all puff trajectories to resolve spatial structure LAGRANGIAN vs. EULERIAN MODELING APPROACHES n i (x,t o ) n i (x,t o  t 
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  • 18. LONG-RANGE TRANSPORT OF POLLUTION: SURFACE OZONE ENHANCEMENTS CAUSED BY ANTHROPOGENIC EMISSIONS FROM DIFFERENT CONTINENTS GEOS-CHEM model, July 1997 North America Europe Asia Li et al. [2001] Li et al. [2002]
  • 19. COLUMN MEASUREMENT OF AN ABSORBING GAS USING SOLAR BACKSCATTER EARTH SURFACE Scattering by Earth surface and by atmosphere ATMOSPHERE absorption wavelength     Slant optical depth Backscattered intensity I B Slant column    
  • 20. AIR MASS FACTOR (AMF) CONVERTS SLANT COLUMN  S TO VERTICAL COLUMN  “ Geometric AMF” (AMF G ) for non-scattering atmosphere: EARTH SURFACE 
  • 21. IN SCATTERING ATMOSPHERE, AMF CALCULATION REQUIRES MODEL INFORMATION ON THE SHAPE OF THE VERTICAL PROFILE: d  (z) I o I B EARTH SURFACE RADIATIVE TRANSFER MODEL Scattering weight ATMOSPHERIC CHEMISTRY MODEL Shape factor z number density n(z) Palmer et al. [2001]
  • 22. ATMOSPHERIC COLUMNS OF NO 2 AND FORMALDEHYDE (HCHO) MEASURED BY SOLAR BACKSCATTER FROM GOME ALLOW MAPPING OF NO x AND HYDROCARBON EMISSIONS Emission NO h  (420 nm)  O 3 , RO 2 NO 2 HNO 3 1 day NITROGEN OXIDES (NO x ) NON-METHANE HYDROCARBONS Emission NMHC OH HCHO h  (340 nm)  hours CO hours BOUNDARY LAYER ~ 2 km Tropospheric NO 2 column ~ E NOx Tropospheric HCHO column ~ E NMHC Deposition GOME SATELLITE INSTRUMENT … but model info is needed for the vertical distributions of NO 2 and HCHO
  • 23. CAN WE USE GOME TO ESTIMATE NO x EMISSIONS? TEST IN U.S. WHERE GOOD A PRIORI EXISTS Comparison of GOME retrieval (July 1996) to GEOS-CHEM model fields using EPA emission inventory for NO x GOME GEOS-CHEM (EPA emissions) BIAS = +3% R = 0.79 Martin et al. [2002]
  • 24. GOME RETRIEVAL OF TROPOSPHERIC NO 2 vs. GEOS-CHEM SIMULATION (July 1996) GEIA emissions scaled to 1996 Martin et al. [2002]
  • 25. FORMALDEHYDE COLUMNS FROM GOME: July 1996 means BIOGENIC ISOPRENE IS THE MAIN SOURCE OF HCHO IN U.S. IN SUMMER Palmer et al. [2001]
  • 26. MAPPING OF ISOPRENE EMISSIONS FOR JULY 1996 BY SCALING OF GOME FORMALDEHYDE COLUMNS [Palmer et al., 2002] GEIA (IGAC inventory) BEIS2 GOME COMPARE TO…
  • 27. PROGRESS IN ATMOSPHERIC CHEMISTRY REQUIRES INTEGRATION OF MEASUREMENTS AND MODELS 3-D CHEMICAL TRACER MODELS QUANTITATIVE PREDICTIONS SATELLITE OBSERVATIONS Global and continuous but few species, low resolution AIRCRAFT OBSERVATIONS High resolution, targeted flights provide critical snapshots for model testing SURFACE OBSERVATIONS high resolution but spatially limited Source/sink inventories Assimilated meteorological data Chemical and aerosol processes
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