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Keywords = dike failure

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14 pages, 2394 KiB  
Article
Digital-Twin-Based Structural Health Monitoring of Dikes
by Marike Bornholdt, Martin Herbrand, Kay Smarsly and Gerhard Zehetmaier
CivilEng 2025, 6(3), 39; https://doi.org/10.3390/civileng6030039 - 18 Jul 2025
Viewed by 331
Abstract
Earthen flood protection structures are planned and constructed with an expected service life of several decades while being exposed to environmental impacts that may lead to structural or hydraulic failure. Current maintenance procedures involve only repairing external damage, leaving internal processes contributing to [...] Read more.
Earthen flood protection structures are planned and constructed with an expected service life of several decades while being exposed to environmental impacts that may lead to structural or hydraulic failure. Current maintenance procedures involve only repairing external damage, leaving internal processes contributing to structural damage often undetected. Through structural health monitoring (SHM), structural deficits can be detected before visible damage occurs. To improve maintenance workflows and support predictive maintenance of dikes, this paper reports on the integration of digital twin concepts with SHM strategies, referred to as “digital-twin-based SHM”. A digital twin concept, including a standard-compliant building information model, is proposed and implemented in terms of a digital twin environment. For integrating monitoring and sensor data into the digital twin environment, a customized webform is designed. A communication protocol links preprocessed sensor data stored on a server with the digital twin environment, enabling model-based visualization and contextualization of the sensor data. As will be shown in this paper, a digital twin environment is set up and managed in the context of SHM in compliance with technical standards and using well-established software tools. In conclusion, digital-twin-based SHM, as proposed in this paper, has proven to advance predictive maintenance of dikes, contributing to the resilience of critical infrastructure against environmental impacts. Full article
(This article belongs to the Section Water Resources and Coastal Engineering)
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33 pages, 25988 KiB  
Article
Erosion Resistance Assessment of Grass-Covered Embankments: Insights from In Situ Overflow Tests at the Living Lab Hedwige-Prosper Polder
by Davy Depreiter, Jeroen Vercruysse, Kristof Verelst and Patrik Peeters
Water 2025, 17(13), 2016; https://doi.org/10.3390/w17132016 - 4 Jul 2025
Viewed by 231
Abstract
Grass-covered levees commonly protect river and estuarine areas against flooding. Climate-induced water level changes may increasingly expose these levees to overflow events. This study investigates whether grass-covered levees can withstand such events, and under what conditions failure may occur. Between 2020 and 2022, [...] Read more.
Grass-covered levees commonly protect river and estuarine areas against flooding. Climate-induced water level changes may increasingly expose these levees to overflow events. This study investigates whether grass-covered levees can withstand such events, and under what conditions failure may occur. Between 2020 and 2022, full-scale overflow tests were conducted at the Living Lab Hedwige-Prosperpolder along the Dutch–Belgian Scheldt Estuary to assess erosion resistance under varying hydraulic conditions and vegetation states. A custom-built overflow generator was used, with instrumentation capturing flow velocity, water levels, and erosion progression. The results show that well-maintained levees with intact grass cover endured overflow durations up to 30 h despite high terminal flow velocities (4.9–7.7 m/s), without structural damage. In contrast, levee sections with pre-existing surface anomalies, such as animal burrows, slope irregularities, surface damage, or reed-covered soft soils, failed rapidly, often within one to two hours. Animal burrows facilitated subsurface flow and internal erosion, initiating fast, retrograde failure. These findings highlight the importance of preventive maintenance, particularly the timely detection and repair of anomalies. Once slope failure begins, the process unfolds rapidly, leaving no practical window for intervention. Full article
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24 pages, 6135 KiB  
Article
Development of Compounded Surfactant Foam and Its Application in Emergency Control of Piping in Dikes
by Jiakun Gong, Zuopeng Pang, Yuan Wang, Jie Ren, Tian Qi and Adam Bezuijen
Molecules 2025, 30(12), 2583; https://doi.org/10.3390/molecules30122583 - 13 Jun 2025
Viewed by 516
Abstract
Piping is a severe threat to dikes, which can lead to dike failure, and cause significant economic and human casualties. However, conventional measures necessitate substantial labor and material resources. A novel foam-based method for the rapid mitigation of piping was proposed to enhance [...] Read more.
Piping is a severe threat to dikes, which can lead to dike failure, and cause significant economic and human casualties. However, conventional measures necessitate substantial labor and material resources. A novel foam-based method for the rapid mitigation of piping was proposed to enhance piping emergency control efficiency, which demonstrates significant application potential. This study aims to develop a novel foam formulation and evaluate its performance in controlling piping in dikes. Through a combination of foam static-property characterization experiment and foam plugging capacity assessment experiment, a compounded anionic–cationic surfactant composed of sodium dodecyl sulfate (SDS) and cetyltrimethylammonium bromide (CTAB) is optimized. The formulation, at a 9:1 mass ratio and 1.5% total concentration, exhibits superior foam stability and plugging performance. An experiment on the ability of the foam to restrain piping demonstrated that, compared to single-component SDS foam, the compounded SDS-CTAB foam increased the critical hydraulic gradient for piping from 2.35 to 2.70, a 15% improvement. It also reduces the extent of piping channel development under equivalent hydraulic conditions. The foam storage area exhibits enhanced scour resistance and better preservation under prolonged water flow. Mechanistically, the SDS-CTAB foam benefits from synergistic hydrophobic interactions, electrostatic attraction, and hydrogen bonding between surfactant molecules, which enhance foam stability. Full article
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16 pages, 2566 KiB  
Article
Interdisciplinary Approach as Basis for Enhancing Construction and Operation Safety of Industrial Hydraulic Structures
by Regina E. Dashko and Darya L. Kolosova
Sustainability 2025, 17(12), 5244; https://doi.org/10.3390/su17125244 - 6 Jun 2025
Viewed by 452
Abstract
This article analyses the necessity of employing an interdisciplinary approach in the geotechnical practice of designing, constructing, and operating industrial hydraulic structures—tailings dams of processing plants. Tailings dam failures often lead to irreversible consequences for the ecological state of the environment. The interdisciplinary [...] Read more.
This article analyses the necessity of employing an interdisciplinary approach in the geotechnical practice of designing, constructing, and operating industrial hydraulic structures—tailings dams of processing plants. Tailings dam failures often lead to irreversible consequences for the ecological state of the environment. The interdisciplinary approach involves treating the foundation soils of structures and anthropogenic tailings deposits as a multicomponent system. In this system, soil acts as a medium hosting groundwater of varying compositions and contamination levels, containing biotic components and their metabolic products, including the gaseous phase. It has been demonstrated that the justified application of this approach increases the operational safety of existing structures and the long-term stability of starter and tailings dikes built on weak clay foundation soils. Particular emphasis is placed on the biotic component and the dual role of subsurface microorganisms. These bacteria negatively impact the strength and load-bearing capacity of water- and water–gas-saturated clay soils in the foundation of the structures under consideration. The diverse biocenosis in groundwater simultaneously facilitates self-purification from petroleum hydrocarbons to undetectable levels. This aspect holds fundamental importance, as groundwater discharges into river systems. Full article
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22 pages, 5757 KiB  
Article
Uncertainty Analysis of Overflow Due to Sea Dike Failure During Typhoon Events
by Wei-Che Huang, Wen-Cheng Liu and Hong-Ming Liu
J. Mar. Sci. Eng. 2025, 13(3), 573; https://doi.org/10.3390/jmse13030573 - 14 Mar 2025
Viewed by 646
Abstract
Taiwan is frequently affected by typhoons, which cause storm surges and wave impacts that damage sea dikes, resulting in overflow and subsequent flooding. Therefore, it is essential to analyze the damage to sea dikes caused by storm surges and wave impacts, leading to [...] Read more.
Taiwan is frequently affected by typhoons, which cause storm surges and wave impacts that damage sea dikes, resulting in overflow and subsequent flooding. Therefore, it is essential to analyze the damage to sea dikes caused by storm surges and wave impacts, leading to overflow, for effective coastal protection. This study employs the ADCIRC model coupled with the SWAN model to simulate storm surges and waves around Taiwan and develops a sea dike failure model that incorporates mechanisms for impact damage, run-up damage, and overflow calculation. To ensure model accuracy, three historical typhoon events were used for calibration and validation of the ADCIRC+SWAN model. The results show that the ADCIRC coupled with SWAN model can effectively simulate storm surges and waves during typhoons. Typhoon Soulik (2013) was simulated to examine a breach in the Tamsui Youchekou sea dike in northern Taiwan, and an uncertainty analysis was conducted using the Monte Carlo method and Bayesian theorem. The results indicate that when the compressive strength of the sea dike is reduced to 5% of its original strength, impact and run-up damage occur, leading to overflow. In the case of impact damage, the overflow volume due to the breach falls within a 95% confidence interval of 0.16 × 106 m3 to 130 × 106 m3. For run-up damage, the 95% confidence interval for the overflow volume ranges from 0.16 × 106 m3 to 639 × 106 m3. The ADCIRC+SWAN model is used to simulate storm surge and waves, incorporating impact damage and run-up damage mechanisms to represent concrete sea dike failure. This approach effectively models dike failure and calculates the resulting overflow. Full article
(This article belongs to the Special Issue Advances in Storm Tide and Wave Simulations and Assessment)
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19 pages, 11199 KiB  
Article
Predicting Flood Inundation after a Dike Breach Using a Long Short-Term Memory (LSTM) Neural Network
by Leon S. Besseling, Anouk Bomers and Suzanne J. M. H. Hulscher
Hydrology 2024, 11(9), 152; https://doi.org/10.3390/hydrology11090152 - 12 Sep 2024
Cited by 2 | Viewed by 2802
Abstract
Hydrodynamic models are often used to obtain insights into potential dike breaches, because dike breaches can have severe consequences. However, their high computational cost makes them unsuitable for real-time flood forecasting. Machine learning models are a promising alternative, as they offer reasonable accuracy [...] Read more.
Hydrodynamic models are often used to obtain insights into potential dike breaches, because dike breaches can have severe consequences. However, their high computational cost makes them unsuitable for real-time flood forecasting. Machine learning models are a promising alternative, as they offer reasonable accuracy at a significant reduction in computation time. In this study, we explore the effectiveness of a Long Short-Term Memory (LSTM) neural network in fast flood modelling for a dike breach in the Netherlands, using training data from a 1D–2D hydrodynamic model. The LSTM uses the outflow hydrograph of the dike breach as input and produces water depths on all grid cells in the hinterland for all time steps as output. The results show that the LSTM accurately reflects the behaviour of overland flow: from fast rising and high water depths near the breach to slowly rising and lower water depths further away. The water depth prediction is very accurate (MAE = 0.045 m, RMSE = 0.13 m), and the inundation extent closely matches that of the hydrodynamic model throughout the flood event (Critical Success Index = 94%). We conclude that machine learning techniques are suitable for fast modelling of the complex dynamics of dike breach floods. Full article
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19 pages, 4310 KiB  
Article
An Experimental Investigation on Dike Stabilization against Floods
by Sohail Iqbal and Norio Tanaka
Geosciences 2023, 13(10), 307; https://doi.org/10.3390/geosciences13100307 - 13 Oct 2023
Cited by 7 | Viewed by 3636
Abstract
A flood protection dike blends seamlessly with natural surroundings. These dikes stand as vital shields, mitigating the catastrophic effects of floods and preserving both communities and ecosystems. Their design not only aids in controlling water flow but also ensures minimal disruption to the [...] Read more.
A flood protection dike blends seamlessly with natural surroundings. These dikes stand as vital shields, mitigating the catastrophic effects of floods and preserving both communities and ecosystems. Their design not only aids in controlling water flow but also ensures minimal disruption to the local environment and its biodiversity. The present study used a uniform cohesionless sand with d50 = 0.9 mm to investigate the local scour process near a single combined dike (permeable and impermeable), replicating a flooding scenario. The experiments revealed that the maximum scour depth is likely to occur at the upstream edge of the dike, resembling a local scour observed around a scaled-down emerged dike in an open channel. The scour hole downstream of the dike gets shallower as it gets smaller, as do the horseshoe vortices that surround it. Additionally, by combining different pile shapes, the flow surrounding the dike was changed to reduce horseshoe vortices, resulting in scour length and depth reductions of 48% at the nose and 45% and 65% at the upstream and downstream dike–wall junction, respectively. Contrarily, the deposition height downstream of the dike had a reciprocal effect on permeability, which can severely harm the riverbank defense system. The combined dike demonstrates their ability to mitigate scour by reducing the flow swirls formed around the dike. The suggested solutions can slow down the rapid deterioration and shield the dike and other river training infrastructure from scour-caused failures. Full article
(This article belongs to the Section Natural Hazards)
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20 pages, 21398 KiB  
Article
Quasi-Prototype Size Testing of Wedge-Shaped Block for Armoring Embankment Dams and Levees
by Francisco Javier Caballero, Miguel Ángel Toledo, Rafael Moran and Javier Peraita
Water 2023, 15(4), 662; https://doi.org/10.3390/w15040662 - 8 Feb 2023
Viewed by 2449
Abstract
A series of tests of wedge-shaped blocks intended for armoring embankment dams and levees was carried out in a new experimental facility (‘Hydraulic Experimentation Facility—Luis Ruano’) under quasi-prototype conditions. This unique facility is located in the canal leading to the Laverné [...] Read more.
A series of tests of wedge-shaped blocks intended for armoring embankment dams and levees was carried out in a new experimental facility (‘Hydraulic Experimentation Facility—Luis Ruano’) under quasi-prototype conditions. This unique facility is located in the canal leading to the Laverné reservoir (Zaragoza, Spain) with a maximum vertical drop of 7 m and discharge up to 9 m3 s−1. The aim was to conduct experimental research on technologies to protect embankment dams and dikes against overflowing erosion under quasi-prototype conditions. The results of the tests demonstrate the ability of the WSBs to withstand high unit discharges under extremely negative conditions at the upstream and downstream ends of the armoring. The tests also helped to identify potential failure modes for the armoring blocks. Full article
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14 pages, 1119 KiB  
Article
Risk Assessment of Dike Based on Risk Chain Model and Fuzzy Influence Diagram
by Xiaobing Wang, Xiaozhou Xia, Renjie Teng, Xin Gu and Qing Zhang
Water 2023, 15(1), 108; https://doi.org/10.3390/w15010108 - 28 Dec 2022
Viewed by 2146
Abstract
For the risk assessment of flood defense, a comprehensive understanding of risk factors affecting dike failure is essential. Traditional risk assessment methods are mostly based on experts’ experience and focus on just one type of failure mode of flood defensive structures. The risk [...] Read more.
For the risk assessment of flood defense, a comprehensive understanding of risk factors affecting dike failure is essential. Traditional risk assessment methods are mostly based on experts’ experience and focus on just one type of failure mode of flood defensive structures. The risk resources, including the analytical factors and non-analytical factors, were summarized firstly according to the general experience of dikes. The uncertainty of the resources that affect dike safety can be quantified by membership degree. Hence, a fuzzy influence diagram based on fuzzy mathematics was proposed to assess the safety of the dikes. We evaluated the multi-failure modes at the same time by a fuzzy influence diagram. Taking a dike as an example, the expected value of the dike failure was 6.25%. Furthermore, the chance of damage to this dike was “very unlikely” according to the descriptive term of the Intergovernmental Panel on Climate Change (IPCC). The evaluation result was obtained as a probabilistic value, which enabled an intuitive perception of the safety of the dikes. Therefore, we provided some reasonable suggestions for project management and regular maintenance. Since the proposed method can account for uncertainties, it is well suited for the risk assessment of dikes with obvious uncertainties. Full article
(This article belongs to the Special Issue Safety Evaluation of Dam and Geotechnical Engineering)
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20 pages, 7136 KiB  
Article
Static Liquefaction Causes the Flow Failure of a Tailings Dam: A Case Study of El Descargador, Cartagena–La Unión Mining Region, SE Spain (October 1963)
by Roberto Rodríguez-Pacheco, Ana Vanesa Caparrós, Alberto Alcolea, Pedro Martínez-Pagán, Marcos A. Martínez-Segura, Cristóbal García-García, Ángel Faz, Isaac Corral, Carles Roque and Mario Zarroca
Minerals 2022, 12(12), 1488; https://doi.org/10.3390/min12121488 - 23 Nov 2022
Cited by 6 | Viewed by 4055
Abstract
The aim of this work is to investigate the causes of the El Descargador tailings dam failure, at the mine district Cartagena–La Unión (SE Spain), in October 1963. Dam stability back analyses have been carried out by applying a geotechnical and geophysical approach. [...] Read more.
The aim of this work is to investigate the causes of the El Descargador tailings dam failure, at the mine district Cartagena–La Unión (SE Spain), in October 1963. Dam stability back analyses have been carried out by applying a geotechnical and geophysical approach. The failure occurred in the form of several landslides in five different points along the dam structure. The rise in the pore pressure and the steeped slopes of the tails, scaling up to 40° in some sectors, were the main causal preparatory factors. Here we propose that static liquefaction is the most plausible cause of the tailings dam flow failure. The presence of sand dikes and sand volcanoes with atypical stratigraphic architecture, both in the lagoon and at the surfaces exposed in the landslide areas, as well as the evidence of conspicuous sand fraction on the surface support the occurrence of the liquefaction processes. Major landslides were located near the drainage pipe and the flow directions were controlled by its position. Our results reveal that the liquefaction processes were triggered and aggravated by the poor drainage capability of the tailings dam structure. Full article
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13 pages, 7196 KiB  
Article
Overflow Tests on Grass-Covered Embankments at the Living Lab Hedwige-Prosperpolder: An Overview
by André R. Koelewijn, Stephan J. H. Rikkert, Patrik Peeters, Davy Depreiter, Myron van Damme and Wouter Zomer
Water 2022, 14(18), 2859; https://doi.org/10.3390/w14182859 - 13 Sep 2022
Cited by 4 | Viewed by 2537
Abstract
In regions with a temperate climate, a well-maintained grass sod on a clay layer is considered a reliable protection for dams and dikes. In the Living Lab Hedwige-Prosperpolder, on the left bank of the Scheldt river straddling the border between Belgium and the [...] Read more.
In regions with a temperate climate, a well-maintained grass sod on a clay layer is considered a reliable protection for dams and dikes. In the Living Lab Hedwige-Prosperpolder, on the left bank of the Scheldt river straddling the border between Belgium and the Netherlands, a series of 27 overflow tests with a purpose-built overflow generator has been executed to determine the strength of the protective layer against erosion at various conditions. The goal of this paper is to inform on the executed test program and the initial results. From the results, it was concluded that in general, a high-quality grass cover on the landside dike slope can withstand high overflow discharges well for 12 to 30 h, without severe erosion damage. Anomalies, such as the presence of animal burrows, reed vegetation, and already present deformations can strongly reduce the resistance of the cover layer and may lead to failure within a couple of hours. Full article
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20 pages, 6471 KiB  
Article
Hydrodynamic Modelling of Wave Overtopping over a Block-Covered Flood Defence
by Luuk Barendse, Vera M. van Bergeijk, Weiqiu Chen, Jord J. Warmink, Aroen Mughal, Dorian Hill and Suzanne J. M. H. Hulscher
J. Mar. Sci. Eng. 2022, 10(1), 89; https://doi.org/10.3390/jmse10010089 - 10 Jan 2022
Cited by 4 | Viewed by 3181
Abstract
Wave overtopping can cause erosion on the landward slope due to high flow velocities and turbulence that cause high stresses on the cover. Innovative block revetments such as Grassblocks protect the subsoil of the dike against erosion. The blocks are permeable, which reduces [...] Read more.
Wave overtopping can cause erosion on the landward slope due to high flow velocities and turbulence that cause high stresses on the cover. Innovative block revetments such as Grassblocks protect the subsoil of the dike against erosion. The blocks are permeable, which reduces the flow velocity and the pressures along the landward slope. The performance of these blocks is assessed in physical tests, which provides insights into the stability of the blocks. However, such experiments are expensive and accurate measurements are difficult due to highly turbulent conditions. Therefore, the goal of this study is to determine the hydrodynamic conditions at the dike cover caused by the wave run-up on the seaward slope and by the overtopping flow over the crest and landward slope. The geometry and wave conditions from the physical test at the Deltares Delta flume are implemented in an OpenFOAM® numerical model. Using the porousWaveFoam solver, a porous layer on the crest and landward slope is implemented, where the flow resistance of this porous layer largely depends on the resistance coefficients α [-] and β [-]. The numerical model is calibrated based on resistance coefficients as introduced earlier in the literature, which showed that the resistance coefficients of α=500 and β=2.0 performed best for the peak flow velocities and the peak pressures. The numerical model is evaluated by using these resistance coefficients in other time series of the physical tests. The evaluated model is then used to determine the hydrodynamic conditions on the landward slope, which showed that the pressure was the most influential hydrodynamic condition at the time of failure. Finally, the model showed that a porosity of n=0.6 and the porous layer thickness η=36 mm reduced the peak pressure the most. Full article
(This article belongs to the Section Coastal Engineering)
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17 pages, 3416 KiB  
Article
Predicting Outflow Hydrographs of Potential Dike Breaches in a Bifurcating River System Using NARX Neural Networks
by Anouk Bomers
Hydrology 2021, 8(2), 87; https://doi.org/10.3390/hydrology8020087 - 3 Jun 2021
Cited by 12 | Viewed by 3829
Abstract
Early flood forecasting systems can mitigate flood damage during extreme events. Typically, the effects of flood events in terms of inundation depths and extents are computed using detailed hydraulic models. However, a major drawback of these models is the computational time, which is [...] Read more.
Early flood forecasting systems can mitigate flood damage during extreme events. Typically, the effects of flood events in terms of inundation depths and extents are computed using detailed hydraulic models. However, a major drawback of these models is the computational time, which is generally in the order of hours to days for large river basins. Gaining insight in the outflow hydrographs in case of dike breaches is especially important to estimate inundation extents. In this study, NARX neural networks that were capable of predicting outflow hydrographs of multiple dike breaches accurately were developed. The timing of the dike failures and the cumulative outflow volumes were accurately predicted. These findings show that neural networks—specifically, NARX networks that are capable of predicting flood time series—have the potential to be used within a flood early warning system in the future. Full article
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20 pages, 8035 KiB  
Article
Improving the 2D Numerical Simulations on Local Scour Hole around Spur Dikes
by Chung-Ta Liao, Keh-Chia Yeh, Yin-Chi Lan, Ren-Kai Jhong and Yafei Jia
Water 2021, 13(11), 1462; https://doi.org/10.3390/w13111462 - 23 May 2021
Cited by 4 | Viewed by 3149
Abstract
Local scour is a common threat to structures such as bridge piers, abutments, and dikes that are constructed on natural rivers. To reduce the risk of foundation failure, the understanding of local scour phenomenon around hydraulic structures is important. The well-predicted scour depth [...] Read more.
Local scour is a common threat to structures such as bridge piers, abutments, and dikes that are constructed on natural rivers. To reduce the risk of foundation failure, the understanding of local scour phenomenon around hydraulic structures is important. The well-predicted scour depth can be used as a reference for structural foundation design and river management. Numerical simulation is relatively efficient at studying these issues. Currently, two-dimensional (2D) mobile-bed models are widely used for river engineering. However, a common 2D model is inadequate for solving the three-dimensional (3D) flow field and local scour phenomenon because of the depth-averaged hypothesis. This causes the predicted scour depth to often be underestimated. In this study, a repose angle formula and bed geometry adjustment mechanism are integrated into a 2D mobile-bed model to improve the numerical simulation of local scour holes around structures. Comparison of the calculated and measured bed variation data reveals that a numerical model involving the improvement technique can predict the geometry of a local scour hole around spur dikes with reasonable accuracy and reliability. Full article
(This article belongs to the Special Issue Research on Hydraulics and River Dynamics)
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22 pages, 3963 KiB  
Article
The Cross-Dike Failure Probability by Wave Overtopping over Grass-Covered and Damaged Dikes
by Vera M. van Bergeijk, Vincent A. Verdonk, Jord J. Warmink and Suzanne J. M. H. Hulscher
Water 2021, 13(5), 690; https://doi.org/10.3390/w13050690 - 3 Mar 2021
Cited by 12 | Viewed by 4468
Abstract
A probabilistic framework is developed to calculate the cross-dike failure probability by overtopping waves on grass-covered dikes. The cross-dike failure probability of dike profiles including transitions and damages can be computed to find the most likely location of failure and quantify the decrease [...] Read more.
A probabilistic framework is developed to calculate the cross-dike failure probability by overtopping waves on grass-covered dikes. The cross-dike failure probability of dike profiles including transitions and damages can be computed to find the most likely location of failure and quantify the decrease in the failure probability when this location is strengthened. The erosion depth along the dike profile is calculated using probability distributions for the water level, wind speed and dike cover strength. Failure is defined as the exceedance of 20 cm erosion depth when the topsoil of the grass cover is eroded. The cross-dike failure probability shows that the landward toe is the most vulnerable location for wave overtopping. Herein, the quality of the grass cover significantly affects the failure probability up to a factor 1000. Next, the failure probability for different types of damages on the landward slope are calculated. In case of a damage where the grass cover is still intact and strong, the dike is most likely to fail at the landward toe due to high flow velocity and additional load due to the slope change. However, when the grass cover is also damaged, the probability of failure at the damage is between 4 and 125 times higher than for a regular dike profile. Full article
(This article belongs to the Special Issue Dam Safety. Overtopping and Geostructural Risks)
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