WATER-FLOW MODELING IN THE UNSATURATED ZONE WITH IMPRECISE PARAMETERSUSING A FUZZY APPROACH

An alternative approach, based on fuzzy set theory, is presented to ex press imprecision of parameters in a non-probabilistic sense. Imprecis ion may originate from indirect measurements, estimation routines, sub jective interpretation and expert judgement of available information. One dimensional, steady state water flow in the unsaturated zone of ho mogeneous soils, which is described by the Darcy-Buckingham equation, was chosen to evaluate and to incorporate fuzzy soil hydraulic propert ies and boundary conditions in the modeling procedure. It is here used to describe soil water pressures with depth, as well as to calculate maximum evapotranspiration rates under steady state conditions. Solvin g the fuzzy equation for steady state water flow results in minimizing /maximizing procedures, from where resulting membership functions of t he dependent variable are calculated. A comparison to a more classical stochastic approach points out the main differences between fuzzy and stochastic concepts to account for uncertainties. Finally, a sensitiv ity analysis shows the strong impact of different shapes of membership functions of the input parameters on the resulting membership functio ns of maximum evapotranspiration rates and soil water pressures. (C) 1 997 Elsevier Science B.V.