Abstract

In this paper we describe an approach that is based on fuzzy logic (FL) to solve the groundwater flow equation in the presence of uncertain parameters. An appropriate set of fuzzy rules was developed to represent groundwater flow in saturated and unsaturated systems. These rules were derived from mathematical models based on experience and the physics of the underlying problem. This resulted in a FL-based methodology that is conceptually consistent with the process of incorporating soft/qualitative data during performance assessment efforts, and materialized in the form of a numerical code. The software fuzzy logic flow simulator ( FLO2 SIM ) is tested and applied with reasonable success to one-dimensional (1D) unsaturated flow, and 1D and two-dimensional (2D) homogeneous and heterogeneous, saturated flow systems. FLO2 SIM was also enhanced to provide estimates of the uncertainty associated with the centroid-based defuzzified predictions. Comparisons with a conventional, finite-difference numerical simula...

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