  Contaminant transport in porous media is often modeled by solving the
Advection Dispersion Equation (ADE) which describes the way the contaminant
moves within the bulk fluid as well as the movement of the contaminant due to
the bulk movement of the fluid phase. The simulation of contaminant transport
can however prove to be computationally expensive especially if the porous
medium is discretized into high-resolution grid blocks. We propose an interwell
simulation model for advection dispersion equations (ISADE) to predict the
concentration of contaminant observed at the pumping well. This method
comprises of two main steps. Initially, the model divides the aquifer or
reservoir into a series of 1D injector-producer pairs and uses the historical
contaminant observation data to estimate five major unknowns in each of these
control volumes: the interwell connectivity, the pore volume, the volumetric
flowrate at the grid face, the dispersion coefficient, and the number of grids
in each control volume. Finally, once the history matching process is complete,
the estimated variables are used to predict the concentration of contaminant
observed at the wells. Five example cases were studied and the results show
that the ISADE model was able to predict with reasonable accuracy the
concentration of contaminant observed. Furthermore, the model can easily handle
changes in input parameters such as the concentration of contaminants released
in the aquifer, and the injection and production rates.
