Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Numerical Study of Hydraulic Percolation in Porous Media Using Two Hydraulic Structures

Version 1 : Received: 7 December 2023 / Approved: 7 December 2023 / Online: 7 December 2023 (13:56:14 CET)

How to cite: Faria, A.W.; Venâncio, S.D.S.; Siqueira, A.F.; Romão, E.C. Numerical Study of Hydraulic Percolation in Porous Media Using Two Hydraulic Structures. Preprints 2023, 2023120531. https://doi.org/10.20944/preprints202312.0531.v1 Faria, A.W.; Venâncio, S.D.S.; Siqueira, A.F.; Romão, E.C. Numerical Study of Hydraulic Percolation in Porous Media Using Two Hydraulic Structures. Preprints 2023, 2023120531. https://doi.org/10.20944/preprints202312.0531.v1

Abstract

This article investigates hydraulic percolation in saturated porous media, focusing on containment systems using sheet pile walls and gravity concrete dams. The Laplace equation, which governs hydraulic flow in porous media, is solved using the Finite Element Method through the ANSYS software. The modeling of the porous media employs a planar quadratic element called Plane 55, originally used for thermal problems, composed of four nodes and one hydraulic degree of freedom per node. The numerical results of the water pressure acting on the hydraulic structure, flow rate, and hydraulic gradient at the outlet of the porous media are compared with results obtained in the technical-scientific literature using flow nets. Two different methodologies are used to obtain the rate of seepage: by using the average hydraulic velocity or by calculating the integral of the hydraulic gradient perpendicular to the flow area. Both methodologies are compared and validated in the numerical simulations. This work also demonstrates the importance of mesh refinement for obtaining the flow rate in the studied hydraulic systems.

Keywords

Soil hydraulics; FEM; Laplace equation; steady-state regime.

Subject

Engineering, Civil Engineering

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