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Water flow modeling in the unsaturated zone with imprecise parameters using a fuzzy approach

Title data

Schulz, Karsten ; Huwe, Bernd:
Water flow modeling in the unsaturated zone with imprecise parameters using a fuzzy approach.
In: Journal of Hydrology. Vol. 201 (1997) Issue 1 . - pp. 211-229.
ISSN 0022-1694
DOI: https://doi.org/10.1016/S0022-1694(97)00038-3

Abstract in another language

n alternative approach, based on fuzzy set theory, is presented to express imprecision of parameters in a non-probabilistic sense. Imprecision may originate from indirect measurements, estimation routines, subjective interpretation and expert judgement of available information. One dimensional, steady state water flow in the unsaturated zone of homogeneous soils, which is described by the Darcy-Buckingham equation, was chosen to evaluate and to incorporate fuzzy soil hydraulic properties 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. Solving the fuzzy equation for steady state water flow results in minimizing/maximizing procedures, from where resulting membership functions of the 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 sensitivity analysis shows the strong impact of different shapes of membership functions of the input parameters on the resulting membership functions of maximum evapotranspiration rates and soil water pressures.

Further data

Item Type: Article in a journal
Refereed: Yes
Additional notes: BAYCEER15348
BAYCEER7367
Institutions of the University: Faculties > Faculty of Biology, Chemistry and Earth Sciences > Department of Earth Sciences > Chair Soil Physics
Faculties > Faculty of Biology, Chemistry and Earth Sciences > Department of Earth Sciences > Former Professors > Professorship Soil Physics - Univ.-Prof. Dr. Bernd Huwe
Research Institutions > Research Centres > Bayreuth Center of Ecology and Environmental Research- BayCEER
Faculties
Faculties > Faculty of Biology, Chemistry and Earth Sciences
Faculties > Faculty of Biology, Chemistry and Earth Sciences > Department of Earth Sciences
Research Institutions
Research Institutions > Research Centres
Faculties > Faculty of Biology, Chemistry and Earth Sciences > Department of Earth Sciences > Former Professors
Result of work at the UBT: Yes
DDC Subjects: 500 Science
Date Deposited: 31 Aug 2015 05:51
Last Modified: 31 Aug 2015 05:51
URI: https://eref.uni-bayreuth.de/id/eprint/18985