Interactive ground water (IGW): Theory and illustrative applications

The software package Interactive Ground Water (IGW) forms a "new paradigm for groundwater modeling", in that, both visually and computationally, the dynamics of the real world are replicated. In hopes of bridging the bottleneck of the computational requirements for a 3-D model, we exploit the 2-D version of the software package IGW using the "new paradigm". The driving algorithms and mathematical theory used in IGW are described and coupled with visual results. In particular, the iterative flow equation and theory used in IGW are discussed in part to validate the software capabilities and use of the "new paradigm." We show results for both deterministic and stochastic hypothetical flow and contaminant transport through examples that are considered novel in groundwater theory. In addition, we expand on the novel examples and show dynamic examples in which the internal boundaries of a lake and seepage zone change over time. We also study the Monte Carlo method and give an example in which the concentration plume is non-Gaussian due to the internal boundary of a lake that is connected to the aquifer.