BISC Seminar, 8 May 1997, 310 Soda Hall,4-5:00pm

Michael Lee (
Fri, 9 May 1997 09:36:13 +0200

Outline of a fuzzy-chaotic approach to the analysis of hydrogeological

BISC Seminar

Dr. Boris Faybishenko
Earth Sciences Division
Lawrence Berkeley National Laboratory
University of California, Berkeley

8 May 1997
310 Soda Hall


This paper introduces a new fuzzy logic approach to the study of the
phenomena of fluid flow and contaminant transport through soils and
fractured rocks. Because the complexity of hydrogeological systems is due to
coupled effects of several non-linear factors, traditional hydrogeological
paradigms (e.g., Darcy's law, Richard's equation) are often found to be
inadequate in describing real hydrogeological phenomena. A dynamic-chaotic
model of flow and transport through porous and fractured media can be used
to predict the attractor boundaries that enclose the system behavior. Using
real hydrogeological data, the analogy between the routes to chaos and
fuzziness in hydrogeological systems will be shown.

In this paper, the advantages of using such an approach will be demonstrated

1. The concept of granulation as an approach to understanding the
scale-dependence phenomena of hydrogeological parameters and the
differences between small- and large-scale field experiments.
2. A new fuzzy logic form for Darcy's law that can be used to evaluate the
hydraulic conductivity of soils and fractured rocks.
3. A theory of linguistic variables as applied to the lithological
analysis of video records and photographic data of fractured rocks.

The fuzzy-chaotic approach to analysis of hydrogeological systems is
especially well-suited to solving environmental and agricultural engineering


Michael A. Lee
Berkeley Initiative in Soft Computing
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Computer Science Division                          Fax: +1-510-642-5775
University of California                    Email:
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