Aquifer-wide estimation of longitudinal dispersivity by the combination
of empirical equations, inverse solution, and aquifer zoning methods
Abstract
Longitudinal dispersivity is a key parameter for numerical simulation of
groundwater quality and this parameter is highly variable in nature. The
use of empirical equations and the inverse solution are two main methods
of estimating longitudinal dispersivity. In this study, the estimation
of values and aquifer-wide spatial distribution of longitudinal
dispersivity parameter using a combined approach i.e. a combination of
empirical equation method (Pickens and Grisak, Arya, Neuman, and Xu &
Eckstein equations), the inverse solution method (using the MT3DMS model
with non-automatic calibration) and the aquifer zoning technique is
investigated. The combined approach applied to Bandar-e-Gaz aquifer in
northern Iran, and Willmott’s index of agreement was used to assess the
precision of simulation of total dissolved solids in this aquifer. The
values of this criterion were 0.9985 to 0.9999 and 0.9756 to 0.9992 in
calibration and validation periods that show the developed combined
approach resulted in obtaining high precision for both calibration and
validation periods and the simulation show remarkable consistency. Also,
the one-way sensitivity analysis indicates that the longitudinal
dispersivity is more sensitive than the effective porosity in this
simulation. The investigation of the spatial distribution of the
estimated longitudinal dispersivity by the combined approach indicates
that the value of the parameter has a decreasing trend from the south to
the north (50 to 8 m) in the aquifer environment which is consistent
with the changes in the characteristics of porous media in this study
area, and therefore it concludes that the combined approach provides a
reliable and appropriate estimation of the spatial distribution of
longitudinal dispersivity.