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Conflict of Interest: In relation to this article, we declare that there is no conflict of interest.

Publication history: Received January 16, 2001
Accepted April 16, 2001

This is an Open-Access article distributed under the terms of the Creative Commons Attribution Non-Commercial License (http://creativecommons.org/licenses/bync/3.0) which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Modeling of Three-Dimensional Groundwater Flow Using the Method to Calculate Fractal Dimension

Bohyun Chon^† Yong-Suk Choi

Department of Environmental and Geosystem Engineering, Inha University, 253 Yonghyun-Dong, Nam-Gu, Inchon 402-751, Korea

bochon@inha.ac.kr

Korean Journal of Chemical Engineering, May 2001, 18(3), 382-386(5), 10.1007/BF02699182

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Abstract

A three-dimensional finite-difference groundwater flow model was developed by the use of fractal theory. The model developed in this study can simulate the groundwater flow in fractured aquifers as well as in porous aquifers. The model was designed to be able to use other parameters, such as permeability, hydraulic conductivity, porosity and fractal dimension besides hydraulic parameters which are used in MODFLOW. Methods which can calculate box fractal dimension used in the Baecher model and mass dimension used in Levy-Lee Fractal model were developed. The results of the model and MODFLOW agreed exactly in the case of the fractal dimension of 2.0 without regard to the use of a fractal equation. 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.

Keywords

Fractal Fractal Dimension Generalized Radial Flow Groundwater Flow Modflow

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