A reducer order model approach for fuzzy field seepage analysis

Resumo

This contribution proposes a strategy for performing seepage analysis where uncertainty associated
with permeability is characterized by means of fuzzy fields. In order to decrease numerical costs associated with
uncertainty propagation, full system analysis is replaced by a reduced order model. This reduced order model
projects the equilibrium equations to a small-dimensional space, which is constructed using a single analysis of
the system plus a sensitivity analysis. The associated basis is enriched to ensure the quality of the approximate
response. A simple numerical example shows that with the presented strategy, it is possible to accurately estimate
the fuzzy seepage flow with reduced numerical efforts.