Shape factors of cylindrical piezometers in uniform soil
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Updated: May 30, 2026

Investigating the Potential of Singly Curved Thin Piezoelectric Transducers for Energy Harvesting and Structural Health Monitoring
Published on: November 14, 2025
Vincenzo Silvestri1, Ghassan Abou-Samra, Christian Bravo-Jonard
1Department of Civil, Geological, and Mining Engineering, École Polytechnique, P.O. Box 6079, Station Centre-Ville, Montréal, QC H3C 3A7, Canada. vincenzo.silvestri@polymtl.ca
Abstract:
This article presents the analytical solution of Laplace equation for the steady flow around open-ended cylindrical piezometers located in an infinite, isotropic, and incompressible saturated soil. Shape factors are obtained for piezometers with varying length-to-diameter ratios. Comparisons are made with published factors obtained by means of approximate analytical solutions, numerical approaches, and measurements in electric analog models. It is shown that some expressions that are currently used in practice are inadequate and should be abandoned.
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