Time-dependent development of Backward Erosion Piping

Abstract

Structural flood protection systems such as levees are an important component in flood risk reduction strategies. Levees can fail through various failure mechanisms; this thesis focuses on the mechanism Backward Erosion Piping (BEP) which occurs when a sandy levee foundation is eroded by groundwater flow. To assess whether a levee's reliability complies with safety standards, authorities use models which describe the levee properties and failure mechanisms.

This thesis aims to extend the current failure model by considering piping as a time-dependent erosion process instead of the current assumption of immediate failure once a critical threshold is exceeded. Therefore, it is shown how time-dependent development of backward erosion piping can be quantified and how it affects levee reliability analyses. This is achieved by a combination of literature review, analysis of previous experiments, additional experiments on different scales, numerical modeling and probabilistic modeling.

The following key findings were established. Analysis of historical levee failures due to BEP and previous experiments indicates that there can be significant time between initiation and breach, highlighting the importance of time-dependence for piping. The rate of pipe progression in experiments can be explained by the sediment transport rate, which is shown to depend on the pipe flow conditions. A numerical groundwater flow model which includes this sediment transport process can predict the pipe development in small-scale experiments. Relations between the progression rate and levee properties and hydraulic loads as derived with this numerical model can be used efficiently in reliability analyses. These analyses show that including time-dependent pipe development in BEP analyses has a significant impact on the levee failure probability, both in coastal and riverine water systems.