Three-dimensional plume source reconstruction using minimum relative entropy inversion

摘要

In this paper we extend the minimum relative entropy(MRE)method to recover the source-release history of a three dimensional plume. This extension is carried out in an analytic framework, and in order to qualify as a linear inverse problem the various transport parameters such as dispersivity and the like are considered to be known. In addition, the groundwater flow system is assumed to be steady and uniform. The contributions of this paper include an explanation how MRE can be used as a measure of resolution in linear inversion, a reporting of a three dimensional analytic solution for mass transport in a steady one dimensional velocity field for a variable in-time source loading, an estimation the source-release history for synthetically generated data sets, and an application of the methodology to a case-study proble at the Gloucester Landfill in Ontario, Canada.