An Eigenvalue Technique for Solute Transport

Abstract

The spatially discretized linear equation of groundwater solute transport in a steady flow field was solved by an eigenvalue technique. The methods employed to impose the commonly encountered boundary conditions in the formulation and solution procedures are described in detail. Using the eigenvalue technique the dynamic system equation is decoupled and the time integration can be done independently and continuously for each nodal point. Finally, an explicit expression is obtained for each nodal point as a function of time. This method can provide convenience of data retrieval, particularly in ground‐water management modeling.