Pramod Kumar 1,2, Maithili Sharan1

  • 1 Centre for Atmospheric Sciences, Indian Institute of Technology Delhi, Hauz Khas, Delhi -110016, India
  • 2 Present Address: LMEE, Université d'Evry, 40 Rue du Pelvoux, 91020 Evry Cedex, France

Received: September 25, 2015
Revised: December 31, 2015
Accepted: December 31, 2015
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Cite this article:
Kumar, P. and Sharan, M. (2016). An Analytical Dispersion Model for Sources in the Atmospheric Surface Layer with Dry Deposition to the Ground Surface. Aerosol Air Qual. Res. 16: 1284-1293.


  • Analytical dispersion model with dry deposition on ground is proposed in finite ABL.
  • Various particular cases of the dispersion model are deduced.
  • Model is evaluated with tracer experiment for depositing tracer in stable condition.
  • Statistical analysis of results show that the model is performing reasonably well.



This study presents a dispersion model based on an analytical solution of two-dimensional advection-diffusion equation to simulate the crosswind integrated concentration in the bounded atmospheric boundary layer. The dispersion model considers the power law profiles of wind speed and vertical eddy diffusion coefficient and deposition velocity at the ground surface. A closed form analytical solution of the advection-diffusion equation for these parameterizations of wind and eddy diffusivity was derived by considering the deposition through lower boundary condition at the ground surface. A sensitivity analysis of the dispersion model for ground level concentrations with varying deposition velocities at the ground surface was performed. Hanford diffusion experiment for a depositing tracer was used to evaluate the dispersion model in stable condition. Model was evaluated by accounting both deposition and non-deposition at the ground surface. The simulated concentrations from the proposed dispersion model with dry deposition are in good agreement with those observed and the model predicts ~72% cases within a factor of two. It was shown that the consideration of no-deposition condition in the model for a depositing tracer gives rise to a larger over-prediction to the observations in comparison to with deposition.

Keywords: Analytical dispersion model; Crosswind integrated concentration; Dry deposition; Sturm-Liouville eigenvalue problem; Finite atmospheric boundary layer

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