Determining magnitude of groundwater pollution sources by data compatibility analysis

This article deals with an inverse problem of determining source functions in an advection-dispersion equation under final observations.By using integral identity methods, a new approach which can be called data compatibility analysis methodology is presented and applied to solve the inverse source problem.By this method, the unknown is confined to an explicit admissible set which can be easily estimated through the compatible conditions.A real life example for determining magnitude of groundwater pollution sources in a actual geological region is investigated.An average magnitude of pollution sources here is obtained by the data compatibility analysis which also coincides with the results of numerical computations.