A Inverse Method Utilizing Downwind Measurements to Assess Accidental Atmospheric Releases.
Abstract
The basic forward theoretical model for obtaining the space and time-dependent atmospheric pollutant concentration in terms of a time-dependent source term is developed along with the adjoint model for determining the time-varying source based on downwind concentration measurements. The emphasis of the development is placed on accidental atmospheric releases, however, both models are developed in sufficient generality that any specialization can be made to particular circumstances by finding the appropriate Green's function. The approach used in the forward model is two -faceted: The generalized hypergeometric form of the concentration function is developed which, in turn, points out the inverse coupling of the source and receptor. Then the Green's function method is used to show that in the case of time -dependent releases the concentration function will always be expressible in terms of incomplete gamma functions. The discovery of the multiple-eigenstate nature of the source -receptor relation is presented along with the development of a universal source term capable of modelling any conceivable releases. An entirely new concept in the analytical handling of atmospheric removal processes is proposed by the introduction of the Fermi-age analogue of neutron diffusion. In substantiating the adjoint model, the general kernel method is used to obtain the unknown source term time-dependency in terms of the time-derivative of the concentration function.
- Publication:
-
Ph.D. Thesis
- Pub Date:
- 1989
- Bibcode:
- 1989PhDT.......248S
- Keywords:
-
- Physics: Atmospheric Science; Environmental Sciences; Engineering: Nuclear