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Piping and subsurface heterogeneity: A scale model

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W.J. Dirkxa, L.P.H. van Beeka, M.F.P. Bierkensa,b

a University of Utrecht, Department of Physical Geography, Faculty of Geosciences, P.O. 80.115, 3508 TC, Utrecht, the Netherlands b Department Stochastic hydrology and geohydrology, Deltares, P.O. 85467, 3508 AL, Utrecht, the Netherlands.

Faculty of Geosciences Department of physical geography

Piping and subsurface heterogeneity: A scale model

A hydraulic flow field is calculated in the model based on the gradient between the entry surface for flow on the left hand side to the outflow point in the top of the model at three quarters of the length of the model. Per modelling step the capacity for erosion is calculated (beige area) and the field is updated for the next modelling step. Using this method critical gradients and potential erosional paths for the piping

process relative to the stochastic build up of the subsurface can be determined. See the QR code for an animated version.

Process scale modelling

Supported by:

Delta Scale Regional Scale

Process Scale

Piping is the creation of a subsurface

pipe as a result of

seepage induced erosion

(usually during high water events).

This process can be approached from different scales.

On the delta scale

general delta wide trends can be used to predict

general piping conditions.

On the regional scale the position and orientation of individual channel belts

precondition piping potential. At the process scale small scale subsurface variations determine if piping is able to progress.

Piping on different scales

Process scale experiment

In a laboratory setting, several sand samples were mixed and

subjected to a hydraulic head

difference between an inflow filter

on one side and a single exit point on the top of the experiment. As

the top of the experiment was see- through the progress of the pipe could be monitored visually

(left). The results of this experiment are used to calibrate a digital model (right). See the QR code for an

animated version

Regional scale model

The first scale at which modelling is possible is the regional scale. Here the locations of ditches

relative to the river and levees precondition

regional hydraulic gradients. These determine where the seepage through upbursting of the

toplayer occurs, creating a concentrated

seepage outflow point. Since such potential locations are fixed this predetermines the

associated discharge and potential for piping to occur. Potential upburst and piping locations are thus fixed to the position of channel belts as they determine regional flow paths.

Winkels, in prep Cohen, 2009

De Kock, 2019

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