Use of the Reciprocity Theorem and Mapping Theorems in Locating Anomalous Air Pollution Sources

A method of using one or more ground-level air pollution transducers to detect anomalous emission from a fixed point source of air pollution is described. It is assumed a source can be identified by two position variables and three operating parameters. It is possible to spot the source position within a region A ¿ E2 if the operating parameters are partially known. The method is based on the principle of source-receptor reciprocity and certain mapping theorems. Mathematical questions arise when finding the set A. One question involves a technique for finding the set A from points on its boundary. Another question deals with the variations in the area of A with the amount of uncertainty in the operating parameters. The questions are resolved by recourse to general characteristics of diffusion patterns. An example is given to illustrate one application of the theory.