Abstract
ABSTRACT A fractal groundwater flow equation was developed on the basis of Barker's generalized radial flow model. The equation can be applied to simulate the groundwater flow in fractured aquifers as well as in porous aquifers. A three-dimensional finite-difference groundwater model was developed using the above equation to perform the simulation of groundwater flow in fractured aquifers. The model was designed to be able to use other parameters, such as permeability, hydraulic conductivity, and porosity, besides hydraulic parameters which are used in MODFLOW. In the case of the fractal dimension of 2.0, the results of model using the fractal equation agreed exactly with both those of the model without using fractal equation and those of MODFLOW. The fact, that the drawdown along the distance from the well increases by increasing the fractal dimension, shows the effect of fracture on groundwater flow. The model enhanced its applicability to groundwater flow simulation in fractured aquifers as well as in porous aquifers by using the parameters such as the fractal dimension and the hydraulic conductivity. The groundwater flow in anisotropic aquifers could be well simulated with respect to fractal dimensions by the model.
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