Marcel van Gent
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16 records found
1
Measuring the fluctuating Hydraulic Gradient in bed protections
Validating a model for pressure fluctuations in rock layers induced by flow and waves, towards improving open filter design
This thesis experimentally investigates the propagation and attenuation of turbulent- and wave-induced pressure fluctuations through open granular filter layers, with the objective of validating and extending the spectral framework proposed by Thomas (2023). Physical experiments were conducted in the Hydraulic Engineering flume at Delft University of Technology using filters with thicknesses of 4, 6, and 8 cm. Two vertically aligned pressure sensor arrays were embedded at the top and base of the filter layer, enabling direct measurement of internal pressure fluctuations under both current-driven and wave-induced conditions across a range of flow velocities and water depths.
Pressure time-series were processed using advanced filtering techniques and transformed into power spectral densities. Temporal spectra were converted to spatial (wavenumber) spectra using a convection-velocity-based approach, allowing the damping of pressure fluctuations and the resulting hydraulic gradients to be analysed both per wavenumber and through integrated variance.
The results show broad agreement with the theoretical spectral shape predicted by Thomas (2023), particularly under highly turbulent flow conditions. Damping is found to be primarily governed by geometric parameters, notably the filter thickness and the ratio between water depth and filter thickness (h/D_f). Thicker filters and shallower water depths lead to significantly stronger attenuation of turbulent fluctuations. Flow velocity mainly influences the absolute magnitude of the hydraulic load but does not affect damping efficiency. In contrast, wave-induced pressure fluctuations, characterised by low wavenumbers, experience only limited damping within the filter layer.
By quantifying both spectral damping and transmitted hydraulic loads, this study provides a physical basis for incorporating load-type dependency and geometric scaling into filter design. The findings support more reliable and sustainable design approaches for granular filters and contribute to the safe application of natural geotextiles in hydraulic engineering.
...
This thesis experimentally investigates the propagation and attenuation of turbulent- and wave-induced pressure fluctuations through open granular filter layers, with the objective of validating and extending the spectral framework proposed by Thomas (2023). Physical experiments were conducted in the Hydraulic Engineering flume at Delft University of Technology using filters with thicknesses of 4, 6, and 8 cm. Two vertically aligned pressure sensor arrays were embedded at the top and base of the filter layer, enabling direct measurement of internal pressure fluctuations under both current-driven and wave-induced conditions across a range of flow velocities and water depths.
Pressure time-series were processed using advanced filtering techniques and transformed into power spectral densities. Temporal spectra were converted to spatial (wavenumber) spectra using a convection-velocity-based approach, allowing the damping of pressure fluctuations and the resulting hydraulic gradients to be analysed both per wavenumber and through integrated variance.
The results show broad agreement with the theoretical spectral shape predicted by Thomas (2023), particularly under highly turbulent flow conditions. Damping is found to be primarily governed by geometric parameters, notably the filter thickness and the ratio between water depth and filter thickness (h/D_f). Thicker filters and shallower water depths lead to significantly stronger attenuation of turbulent fluctuations. Flow velocity mainly influences the absolute magnitude of the hydraulic load but does not affect damping efficiency. In contrast, wave-induced pressure fluctuations, characterised by low wavenumbers, experience only limited damping within the filter layer.
By quantifying both spectral damping and transmitted hydraulic loads, this study provides a physical basis for incorporating load-type dependency and geometric scaling into filter design. The findings support more reliable and sustainable design approaches for granular filters and contribute to the safe application of natural geotextiles in hydraulic engineering.
Results of this study show that the slope angle has a large influence on wave overtopping at rubble mound breakwaters. It follows that the steeper the slope, the larger the wave overtopping discharge for the same dimensionless crest freeboard. This trend was captured regardless the wave steepness. This relation can be seen V both for breaking and for non-breaking wave loading. However, the dependency between the slope angle and the wave overtopping discharge appears to be larger for breaking waves than for non-breaking waves.
Furthermore, it was found that the wave steepness has a large influence on wave overtopping at rubble mound breakwaters, both for non-breaking waves and for breaking waves. In general, it can be said that the lower the wave steepness, the larger the wave overtopping discharge for the same dimensionless crest freeboard. This relation was found regardless of the slope angle of the breakwater. However, it followed that the wave steepness has a larger influence on the wave overtopping discharge at gentle slopes, like 1:6 and 1:8. It should be noted that for non-breaking waves, the influence of the slope angle and wave steepness is not present in the existing manuals, while the effects are important.
The formulas in the current guidelines to calculate the wave overtopping discharge were compared to each other and the data. These formulas were further modified based on the data gathered during the physical model tests to obtain even more accurate predictions for overtopping discharges. This resulted in the proposal of two equations to calculate the average wave overtopping discharge at permeable rubble mound breakwaters for wave loading that can be characterized as breaking waves and non-breaking waves.
...
Results of this study show that the slope angle has a large influence on wave overtopping at rubble mound breakwaters. It follows that the steeper the slope, the larger the wave overtopping discharge for the same dimensionless crest freeboard. This trend was captured regardless the wave steepness. This relation can be seen V both for breaking and for non-breaking wave loading. However, the dependency between the slope angle and the wave overtopping discharge appears to be larger for breaking waves than for non-breaking waves.
Furthermore, it was found that the wave steepness has a large influence on wave overtopping at rubble mound breakwaters, both for non-breaking waves and for breaking waves. In general, it can be said that the lower the wave steepness, the larger the wave overtopping discharge for the same dimensionless crest freeboard. This relation was found regardless of the slope angle of the breakwater. However, it followed that the wave steepness has a larger influence on the wave overtopping discharge at gentle slopes, like 1:6 and 1:8. It should be noted that for non-breaking waves, the influence of the slope angle and wave steepness is not present in the existing manuals, while the effects are important.
The formulas in the current guidelines to calculate the wave overtopping discharge were compared to each other and the data. These formulas were further modified based on the data gathered during the physical model tests to obtain even more accurate predictions for overtopping discharges. This resulted in the proposal of two equations to calculate the average wave overtopping discharge at permeable rubble mound breakwaters for wave loading that can be characterized as breaking waves and non-breaking waves.
The numerical model was validated with physical model tests performed on a rubble mound breakwater. Overall, the numerical model simulated the incident waves accurately, but overestimated the mean overtopping discharge. The overprediction of the overtopping discharge and the different methodologies of computation of the flow velocities made it difficult to validate the overtopping flow. However, the numerical model was still valuable to study the physical processes occurring during overtopping events, and the trends on the modelled flow depths and velocities when changing the wave conditions and protrusion heights.
It was determined that wave gauges and probes are the optimal methods to extract the flow depths and velocities from the numerical model. They were placed along (and over) the crest. For the specific set-up of the numerical model, it was found that the most extreme events impact the horizontal part of the crest wall in between the measuring devices. Therefore, for some instruments, the flow depths and velocities are extracted when the events are still in the air or at the moment of collision with the crest. In these cases, the trends had a different behavior than the expected one once the events are propagating attached to and along the crest. More detailed analysis and future validation are required for such circumstances.
Events associated to high exceedance probabilities showed trends aligned with the expected tendencies (for events propagating attached to the crest). This is because, these events were produced by smaller wave heights. Hence, the overtopping events collided with the horizontal part of the crest wall before the first measuring devices. For these events, it was observed that the flow depths and velocities decreased the lower the significant wave height, the larger the wave steepness, and the longer the distances from the seaward boundary. In addition, for a smaller protrusion height, more events were captured, and their flow depths and velocities were larger.
...
The numerical model was validated with physical model tests performed on a rubble mound breakwater. Overall, the numerical model simulated the incident waves accurately, but overestimated the mean overtopping discharge. The overprediction of the overtopping discharge and the different methodologies of computation of the flow velocities made it difficult to validate the overtopping flow. However, the numerical model was still valuable to study the physical processes occurring during overtopping events, and the trends on the modelled flow depths and velocities when changing the wave conditions and protrusion heights.
It was determined that wave gauges and probes are the optimal methods to extract the flow depths and velocities from the numerical model. They were placed along (and over) the crest. For the specific set-up of the numerical model, it was found that the most extreme events impact the horizontal part of the crest wall in between the measuring devices. Therefore, for some instruments, the flow depths and velocities are extracted when the events are still in the air or at the moment of collision with the crest. In these cases, the trends had a different behavior than the expected one once the events are propagating attached to and along the crest. More detailed analysis and future validation are required for such circumstances.
Events associated to high exceedance probabilities showed trends aligned with the expected tendencies (for events propagating attached to the crest). This is because, these events were produced by smaller wave heights. Hence, the overtopping events collided with the horizontal part of the crest wall before the first measuring devices. For these events, it was observed that the flow depths and velocities decreased the lower the significant wave height, the larger the wave steepness, and the longer the distances from the seaward boundary. In addition, for a smaller protrusion height, more events were captured, and their flow depths and velocities were larger.
Sea level rise adaptation of rubble mound breakwaters
An adaptation pathway approach including sea level rise uncertainty and numerical overtopping modelling
If sea level rises faster than anticipated in the initial design of rubble mound breakwaters, a serious threat is posed to their functionality. To limit wave overtopping, breakwaters must be adapted to the rising sea level and subsequent increase in wave loading due to reduced depth-induced wave breaking. However, the projections of sea level rise are highly uncertain. To deal with this uncertainty and avoid unnecessary costs, the method of adaptation pathways can be applied.
The thesis aims to incorporate changes in depth-induced breaking uncertainty of sea level rise in the creation and selection of adaptation pathways for rubble mound breakwaters.
As a first step to reach the objective, methods are proposed
based on existing concepts from literature, modified to be applicable to
adaptation pathways for breakwaters.
To consider changes in depth-induced breaking when determining wave loading on
breakwaters, two empirical estimates are proposed. The maximum significant wave height at the toe
of the breakwater is assumed equal to half the water depth at the toe. The
spectral period at the toe is assumed to be equal to the deep-water spectral
period for shallow foreshores.
To account for sea level rise uncertainty in the selection of pathways based on
cost, methods for model uncertainty and for scenario uncertainty are proposed.
The first method uses an approximated probability based on model uncertainty to
estimate the expected cost of the adaptation pathway. The second method deals
with scenario uncertainty by computing the weighted average of the cost of
pathways for all considered scenarios.
The applicability of the proposed methods is tested on a case study for the location of IJmuiden (the Netherlands). For the case study, five adaptation measures are considered: placing a low-crested structure, adding a berm, raising the foreshore bed, adding a crest wall, and raising the armour crest level. The last three mainly form the optimal pathways in the case study.
Lastly, the empirical estimates and formulae used to create adaptation pathways are validated with an XBeach model and an OpenFOAM model. The estimates of the significant wave height and spectral period have a maximum deviation of 21% and 15%, respectively, compared to the numerical results. Moreover, the comparison with the numerical model indicates that the overtopping expressions of Van Gent et al. (2022) can predict overtopping results with reasonable accuracy, even for conditions which fall outside the range of validity.
Based on the case study it is concluded that the method to incorporate sea level rise uncertainty in the selection of optimal pathways gives insight into the preferred measures and the likelihood of measures being applied in the lifetime of the structure. The results of the case study also indicate that the preferred pathways do not vary between different sea level rise scenarios. Based on the numerical validation it is concluded that the method to incorporate depth-induced breaking in adaptation pathways can be used as a first estimate but more detailed calculation methods such as numerical models are necessary to accurately create adaptation pathways. ...
If sea level rises faster than anticipated in the initial design of rubble mound breakwaters, a serious threat is posed to their functionality. To limit wave overtopping, breakwaters must be adapted to the rising sea level and subsequent increase in wave loading due to reduced depth-induced wave breaking. However, the projections of sea level rise are highly uncertain. To deal with this uncertainty and avoid unnecessary costs, the method of adaptation pathways can be applied.
The thesis aims to incorporate changes in depth-induced breaking uncertainty of sea level rise in the creation and selection of adaptation pathways for rubble mound breakwaters.
As a first step to reach the objective, methods are proposed
based on existing concepts from literature, modified to be applicable to
adaptation pathways for breakwaters.
To consider changes in depth-induced breaking when determining wave loading on
breakwaters, two empirical estimates are proposed. The maximum significant wave height at the toe
of the breakwater is assumed equal to half the water depth at the toe. The
spectral period at the toe is assumed to be equal to the deep-water spectral
period for shallow foreshores.
To account for sea level rise uncertainty in the selection of pathways based on
cost, methods for model uncertainty and for scenario uncertainty are proposed.
The first method uses an approximated probability based on model uncertainty to
estimate the expected cost of the adaptation pathway. The second method deals
with scenario uncertainty by computing the weighted average of the cost of
pathways for all considered scenarios.
The applicability of the proposed methods is tested on a case study for the location of IJmuiden (the Netherlands). For the case study, five adaptation measures are considered: placing a low-crested structure, adding a berm, raising the foreshore bed, adding a crest wall, and raising the armour crest level. The last three mainly form the optimal pathways in the case study.
Lastly, the empirical estimates and formulae used to create adaptation pathways are validated with an XBeach model and an OpenFOAM model. The estimates of the significant wave height and spectral period have a maximum deviation of 21% and 15%, respectively, compared to the numerical results. Moreover, the comparison with the numerical model indicates that the overtopping expressions of Van Gent et al. (2022) can predict overtopping results with reasonable accuracy, even for conditions which fall outside the range of validity.
Based on the case study it is concluded that the method to incorporate sea level rise uncertainty in the selection of optimal pathways gives insight into the preferred measures and the likelihood of measures being applied in the lifetime of the structure. The results of the case study also indicate that the preferred pathways do not vary between different sea level rise scenarios. Based on the numerical validation it is concluded that the method to incorporate depth-induced breaking in adaptation pathways can be used as a first estimate but more detailed calculation methods such as numerical models are necessary to accurately create adaptation pathways.
Currently, the design of rubble mound breakwaters is based on the EurOtop (2018) guideline. However, these guidelines may overlook essential influencing factors. Recent studies by Van Gent et al. (2022) and Irias Mata & van Gent (2023) have contributed to new insights that address these limitations. They aimed to identify numerous influencing factors that enhance the accuracy of wave overtopping expressions for rubble mound breakwaters. However, for several factors a more thorough understanding is still required.
Furthermore, recent insights on the influence of wind have proven to be significant. Previous studies indicate that the mean overtopping discharge has the potential to amplify its quantity several times beyond its initial value (de Waal et al., 1996; Wolters & van Gent, 2007; Van Gent et al., 2023 and Dijkstra, 2023). These investigations included tests on vertical sea walls and dikes.
This research focuses on investigating the maximum effect of wind on wave overtopping for a rubble mound breakwater, considering varying slope angles and crest element designs. The key parameter of interest is the maximum wind effect factor, described as a function of the non-dimensional overtopping discharge. Small scale models of rubble mound breakwaters with mild (1:6) slopes, steep (1:2) slopes, and various crest walls are examined to find their influence on the maximum effect of wind.
An extensive experimental programme was carried out within the Pacific Basin at Deltares. In this basin, a flume was constructed in which the breakwater models were built. Various hydraulic conditions, incorporating the water level and the wave characteristics, were systematically tested. All conditions were repeated, both with and without including the maximum wind effect.
A new overtopping expression is developed, taking the form of an exponential function that includes all relevant parameters. The influences corresponding to the crest wall are thoroughly investigated, while the other factors (roughness, obliqueness, and a berm) are only taken into account. The exponents and constant factors were obtained iteratively and were found to accurately predict the overtopping discharges obtained during the experiments.
The relationship between the maximum wind effect and non-dimensional overtopping, as observed in previous research, was confirmed for these measurements. This observation suggests that a maximum effect of wind increases when the non-dimensional overtopping discharge decreases. Only the configuration with a mild slope and the tallest crest wall stood out by showing a notable influence on the maximum wind effect. Moreover, the wind effect is more pronounced for an increasing water level when similar amounts of overtopping discharges are taken into consideration. Based on these findings, new factors for wind were derived.
In conclusion, this research has contributed to a deeper understanding of the influence of wind on wave overtopping. The presented wind factor expressions significantly improved the accuracy of the expression for each measurement, offering broader applicability across different structure types. Moreover, the amplification factors constructed in previous studies and in this study, have proven to be applicable across various structure types. This enhances overtopping predictions initially obtained for this study.
...
Currently, the design of rubble mound breakwaters is based on the EurOtop (2018) guideline. However, these guidelines may overlook essential influencing factors. Recent studies by Van Gent et al. (2022) and Irias Mata & van Gent (2023) have contributed to new insights that address these limitations. They aimed to identify numerous influencing factors that enhance the accuracy of wave overtopping expressions for rubble mound breakwaters. However, for several factors a more thorough understanding is still required.
Furthermore, recent insights on the influence of wind have proven to be significant. Previous studies indicate that the mean overtopping discharge has the potential to amplify its quantity several times beyond its initial value (de Waal et al., 1996; Wolters & van Gent, 2007; Van Gent et al., 2023 and Dijkstra, 2023). These investigations included tests on vertical sea walls and dikes.
This research focuses on investigating the maximum effect of wind on wave overtopping for a rubble mound breakwater, considering varying slope angles and crest element designs. The key parameter of interest is the maximum wind effect factor, described as a function of the non-dimensional overtopping discharge. Small scale models of rubble mound breakwaters with mild (1:6) slopes, steep (1:2) slopes, and various crest walls are examined to find their influence on the maximum effect of wind.
An extensive experimental programme was carried out within the Pacific Basin at Deltares. In this basin, a flume was constructed in which the breakwater models were built. Various hydraulic conditions, incorporating the water level and the wave characteristics, were systematically tested. All conditions were repeated, both with and without including the maximum wind effect.
A new overtopping expression is developed, taking the form of an exponential function that includes all relevant parameters. The influences corresponding to the crest wall are thoroughly investigated, while the other factors (roughness, obliqueness, and a berm) are only taken into account. The exponents and constant factors were obtained iteratively and were found to accurately predict the overtopping discharges obtained during the experiments.
The relationship between the maximum wind effect and non-dimensional overtopping, as observed in previous research, was confirmed for these measurements. This observation suggests that a maximum effect of wind increases when the non-dimensional overtopping discharge decreases. Only the configuration with a mild slope and the tallest crest wall stood out by showing a notable influence on the maximum wind effect. Moreover, the wind effect is more pronounced for an increasing water level when similar amounts of overtopping discharges are taken into consideration. Based on these findings, new factors for wind were derived.
In conclusion, this research has contributed to a deeper understanding of the influence of wind on wave overtopping. The presented wind factor expressions significantly improved the accuracy of the expression for each measurement, offering broader applicability across different structure types. Moreover, the amplification factors constructed in previous studies and in this study, have proven to be applicable across various structure types. This enhances overtopping predictions initially obtained for this study.
Wave Transmission over Artificial Reefs
A Physical Model Study
The main finding of this research is that a hollow, perforated structure can act both as an artificial reef that provides a safe habitat for marine life, and as a breakwater that provides sufficient coastal protection. Moreover, a new empirical relation was derived for a smooth impermeable breakwater, rubble mound breakwater, and a hollow perforated breakwater with an impermeable screen inside.
...
The main finding of this research is that a hollow, perforated structure can act both as an artificial reef that provides a safe habitat for marine life, and as a breakwater that provides sufficient coastal protection. Moreover, a new empirical relation was derived for a smooth impermeable breakwater, rubble mound breakwater, and a hollow perforated breakwater with an impermeable screen inside.
The overtopping discharge is key when defining the dike dimensions. Moreover, the effect of wind on the overtopping discharge is not included in existing guidelines, whereas wind is complex due to its dynamic behaviour. Also, the knowledge niche regarding the position and height of the vertical crest wall is the reason for performing more research. Physical model tests are conducted to gain more knowledge about the maximum wind effect to obtain a better understanding of how it affects the overtopping discharge and the loading on seadikes.
The following research question is covered in this master thesis: What is the maximum wind effect on wave overtopping at dikes with crest elements? The aim of the present research is to examine this wind effect based on physical model tests, which are performed at Deltares in Delft, the Netherlands. Experiments on a small-scale model of a seadike with a smooth outer slope at an angle of tan(α)=1:3 are conducted. In total, four dike configurations were tested, consisting of a crest wall, which is placed at the seaside of the dike crest in one case and on the land side in another. A paddle wheel is used to simulate the maximum effect of wind, based on the idea that all vertical spray exceeding the dike crest is transported over the crest by onshore wind. The maximum wind effect is determined by comparing the tests with and without the use of the paddle wheel.
The results of this investigation show an optimisation of the existing guidelines, such as TAW (2002), for calculating the overtopping discharge. For non-breaking waves, the wave steepness is not included in the TAW (2002) overtopping formula, but the data show a clear dependency on this parameter.
One of the most significant findings from this study is a quantification of the maximum wind effect. It provides an amplification factor on the overtopping discharge. This maximum wind effect is defined as the ratio q_wind/q, which indicates the overtopping discharge with maximum wind effect due to onshore blowing winds (q_wind) over the overtopping discharges without wind effects (q).
...
The overtopping discharge is key when defining the dike dimensions. Moreover, the effect of wind on the overtopping discharge is not included in existing guidelines, whereas wind is complex due to its dynamic behaviour. Also, the knowledge niche regarding the position and height of the vertical crest wall is the reason for performing more research. Physical model tests are conducted to gain more knowledge about the maximum wind effect to obtain a better understanding of how it affects the overtopping discharge and the loading on seadikes.
The following research question is covered in this master thesis: What is the maximum wind effect on wave overtopping at dikes with crest elements? The aim of the present research is to examine this wind effect based on physical model tests, which are performed at Deltares in Delft, the Netherlands. Experiments on a small-scale model of a seadike with a smooth outer slope at an angle of tan(α)=1:3 are conducted. In total, four dike configurations were tested, consisting of a crest wall, which is placed at the seaside of the dike crest in one case and on the land side in another. A paddle wheel is used to simulate the maximum effect of wind, based on the idea that all vertical spray exceeding the dike crest is transported over the crest by onshore wind. The maximum wind effect is determined by comparing the tests with and without the use of the paddle wheel.
The results of this investigation show an optimisation of the existing guidelines, such as TAW (2002), for calculating the overtopping discharge. For non-breaking waves, the wave steepness is not included in the TAW (2002) overtopping formula, but the data show a clear dependency on this parameter.
One of the most significant findings from this study is a quantification of the maximum wind effect. It provides an amplification factor on the overtopping discharge. This maximum wind effect is defined as the ratio q_wind/q, which indicates the overtopping discharge with maximum wind effect due to onshore blowing winds (q_wind) over the overtopping discharges without wind effects (q).
The experimental tests’ conditions were based on varying parameters (the relative wave height, wave steepness, and water depth) to obtain the broadest possible range of conditions. Variations in regular or irregular waves, with or without foreshore, water depth, wave height, and period were used for the tests. For each experimental wave flume test, it was established whether the reef was stable. The observed stability of the reef was related to the conditions during that test, determined by the resistance-type wave gauges that recorded the height of the free surface.
Based on the data of the experimental flume test, a stability function was determined, giving the influence of three non-dimensional parameters (the relative wave height, the wave steepness, and the relative water depth) on the stability of that reef. The tests were also compared to two stability prediction methods; the Morison method and a prediction method based on the mobility parameter. ...
The experimental tests’ conditions were based on varying parameters (the relative wave height, wave steepness, and water depth) to obtain the broadest possible range of conditions. Variations in regular or irregular waves, with or without foreshore, water depth, wave height, and period were used for the tests. For each experimental wave flume test, it was established whether the reef was stable. The observed stability of the reef was related to the conditions during that test, determined by the resistance-type wave gauges that recorded the height of the free surface.
Based on the data of the experimental flume test, a stability function was determined, giving the influence of three non-dimensional parameters (the relative wave height, the wave steepness, and the relative water depth) on the stability of that reef. The tests were also compared to two stability prediction methods; the Morison method and a prediction method based on the mobility parameter.
Impact of Damages on the Stability and Reliability of Pattern-Placed Revetments
An analysis with use of a finite element model into the different types of damages for pattern-placed revetments under wave loading
Better insight into the exact consequences of damages will expand the possibilities of how risk-based maintenance can be used to maintain revetments. Consequentially, maintenance interventions can be planned more efficiently, reducing the societal costs incurred due to inefficient maintenance. This study contributes to this topic by investigating whether it is possible to estimate the impact of damages on the stability and reliability of a revetment using a model.
Within the study, first, damages are analyzed based upon a literature review. Next, data of old flume experiments with Basalton and basalt revetments are analyzed to study and quantify damages. This analysis focuses on the uplift of elements, deformation around the wave impact zone (S-profile), and washed-out joint filling. Then, a finite element model (FE-model) is created to simulate the wave impact on pattern-placed revetments. The main focus of the FE-model is to study the uncertainty due to structural changes, which are the damages. The damages quantified during the analysis of the flume experiments are also included in order to be able to assess damaged revetments. Finally, the study uses the FE-model within a sensitivity analysis to study the most important uncertain parameters. Based on the samples used in the sensitivity analysis, response surfaces are fitted to obtain a model that can predict the damage for any set of parameters. Finally, these models are demonstrated in a case study of a coastal dike near Den Helder. An increase of 10 – 100 times of the failure probability has been observed for small deformations, while for medium to large deformations, the failure probability increased by 1000 – 10000 times. For no joint filling or a missing element, the failure probability increased by 10 - 100 times.
This study showed that it is possible to create a finite element model that can estimate the impact damage has on the stability and reliability of a pattern-placed revetment. The obtained results can be used within the daily practise as part of risk-based maintenance as the study provides a way to obtain a first indication of the impact of missing elements, deformation, and washed-out joint filling. Additionally, the developed methodology can be used to obtain the impact of other types of damage. Although Basalton is the primarily investigated type of top layer, analysis of the flume experiments showed that basalt revetments are subject to identical types of damage. Therefore, it is expected that the findings within this study can be applied to a broader range of top layer elements with similar characteristics to Basalton (e.g. basalt, C-Star, and Hydroblocks).
...
Better insight into the exact consequences of damages will expand the possibilities of how risk-based maintenance can be used to maintain revetments. Consequentially, maintenance interventions can be planned more efficiently, reducing the societal costs incurred due to inefficient maintenance. This study contributes to this topic by investigating whether it is possible to estimate the impact of damages on the stability and reliability of a revetment using a model.
Within the study, first, damages are analyzed based upon a literature review. Next, data of old flume experiments with Basalton and basalt revetments are analyzed to study and quantify damages. This analysis focuses on the uplift of elements, deformation around the wave impact zone (S-profile), and washed-out joint filling. Then, a finite element model (FE-model) is created to simulate the wave impact on pattern-placed revetments. The main focus of the FE-model is to study the uncertainty due to structural changes, which are the damages. The damages quantified during the analysis of the flume experiments are also included in order to be able to assess damaged revetments. Finally, the study uses the FE-model within a sensitivity analysis to study the most important uncertain parameters. Based on the samples used in the sensitivity analysis, response surfaces are fitted to obtain a model that can predict the damage for any set of parameters. Finally, these models are demonstrated in a case study of a coastal dike near Den Helder. An increase of 10 – 100 times of the failure probability has been observed for small deformations, while for medium to large deformations, the failure probability increased by 1000 – 10000 times. For no joint filling or a missing element, the failure probability increased by 10 - 100 times.
This study showed that it is possible to create a finite element model that can estimate the impact damage has on the stability and reliability of a pattern-placed revetment. The obtained results can be used within the daily practise as part of risk-based maintenance as the study provides a way to obtain a first indication of the impact of missing elements, deformation, and washed-out joint filling. Additionally, the developed methodology can be used to obtain the impact of other types of damage. Although Basalton is the primarily investigated type of top layer, analysis of the flume experiments showed that basalt revetments are subject to identical types of damage. Therefore, it is expected that the findings within this study can be applied to a broader range of top layer elements with similar characteristics to Basalton (e.g. basalt, C-Star, and Hydroblocks).
Climate Adaptation of Rubble Mound Breakwaters
A study to the accuracy of overtopping formulas for combination of solutions
The research performed in this thesis is divided into two parts. First, multiple solutions are derived to adapt a breakwater and ensure safety for a rising sea level based on existing empirical equations. Safety is ensured if the mean overtopping rate remains less than 50 l/s/m. Beyond this point, the ships behind the structure might become prone to large wave attacks. Secondly, the accuracy of current guidelines (i.e. the empirical overtopping equations) is tested in an OpenFOAM model. OpenFOAM is a so-called open-source Computational Fluid Dynamics (CFD) software that can solve complex fluid flows.
Several solutions are possible to ensure safety against severe wave overtopping. The four solutions applied in this thesis are the addition of a berm, the addition of a crest wall, an increased foreshore and the implementation of a low-crested structure. By combining these solutions, the overtopping rate remains below the maximum of 50 l/s/m. The combination of solutions forms a path, all paths together form a pathway. The adaptation pathways are a guideline for the moment in time at which a certain solution should be implemented. Therefore, a structure is not unnecessarily expensive and can be managed easily. The paths are rated based on the implementation costs of the combination of solutions.
In total two empirical equations are applied to derive an adaptation pathway. The first pathway is based on the overtopping equation proposed by the TAW (2002). The TAW is a Dutch advisory committee on flood defences. Based on the applied theory, the economically most attractive solution consists of a low-crested structure, a foreshore and a berm. As this equation does not account for the influence of a berm in non-breaking waves, an adapted TAW equation is applied as well. The adapted equation was proposed by Krom (2012) and includes the influence of a berm. Based on the adapted equation, the economically most attractive solution consists of a foreshore, a crest wall and a berm. Once the economically most attractive solution is derived, the accuracy of current guidelines is reviewed in a phase-resolving model. It is found that, there is a large discrepancy between the results calculated with the empirical equations and the results from the model. As no physical data is applied in this research it is hard to interpret and analyze the exact numbers. Therefore, the relative effect of an adaptation is compared. It is found that in contrast to the TAW overtopping equation for non-breaking waves, a berm decreases the overtopping rate by at least 30% for the case study applied. Furthermore, the current method to account for a crest wall proposed by the TAW overestimates the reduction (73% compared to 40% in OpenFOAM). Finally, it is concluded that the addition of a low-crested structure decreases the overtopping rate by a larger value than based on the applied guidelines (74% in OpenFOAM compared to 35% in theory).
Based on the performed research a realistic combination of the adaptation measures consists of a combination of a berm, a crest wall and a shallow foreshore. Therefore, it is advised to focus further research on the combination of these measures. It is necessary to improve the guidelines for combinations of these adaptation measures since the existing ones seem to be either incorrect (TAW, 2002) or require a better validation (Krom, 2012). ...
The research performed in this thesis is divided into two parts. First, multiple solutions are derived to adapt a breakwater and ensure safety for a rising sea level based on existing empirical equations. Safety is ensured if the mean overtopping rate remains less than 50 l/s/m. Beyond this point, the ships behind the structure might become prone to large wave attacks. Secondly, the accuracy of current guidelines (i.e. the empirical overtopping equations) is tested in an OpenFOAM model. OpenFOAM is a so-called open-source Computational Fluid Dynamics (CFD) software that can solve complex fluid flows.
Several solutions are possible to ensure safety against severe wave overtopping. The four solutions applied in this thesis are the addition of a berm, the addition of a crest wall, an increased foreshore and the implementation of a low-crested structure. By combining these solutions, the overtopping rate remains below the maximum of 50 l/s/m. The combination of solutions forms a path, all paths together form a pathway. The adaptation pathways are a guideline for the moment in time at which a certain solution should be implemented. Therefore, a structure is not unnecessarily expensive and can be managed easily. The paths are rated based on the implementation costs of the combination of solutions.
In total two empirical equations are applied to derive an adaptation pathway. The first pathway is based on the overtopping equation proposed by the TAW (2002). The TAW is a Dutch advisory committee on flood defences. Based on the applied theory, the economically most attractive solution consists of a low-crested structure, a foreshore and a berm. As this equation does not account for the influence of a berm in non-breaking waves, an adapted TAW equation is applied as well. The adapted equation was proposed by Krom (2012) and includes the influence of a berm. Based on the adapted equation, the economically most attractive solution consists of a foreshore, a crest wall and a berm. Once the economically most attractive solution is derived, the accuracy of current guidelines is reviewed in a phase-resolving model. It is found that, there is a large discrepancy between the results calculated with the empirical equations and the results from the model. As no physical data is applied in this research it is hard to interpret and analyze the exact numbers. Therefore, the relative effect of an adaptation is compared. It is found that in contrast to the TAW overtopping equation for non-breaking waves, a berm decreases the overtopping rate by at least 30% for the case study applied. Furthermore, the current method to account for a crest wall proposed by the TAW overestimates the reduction (73% compared to 40% in OpenFOAM). Finally, it is concluded that the addition of a low-crested structure decreases the overtopping rate by a larger value than based on the applied guidelines (74% in OpenFOAM compared to 35% in theory).
Based on the performed research a realistic combination of the adaptation measures consists of a combination of a berm, a crest wall and a shallow foreshore. Therefore, it is advised to focus further research on the combination of these measures. It is necessary to improve the guidelines for combinations of these adaptation measures since the existing ones seem to be either incorrect (TAW, 2002) or require a better validation (Krom, 2012).
Hydrodynamic and ecological performance of a new modular unit for living breakwaters
Wave flume experiments and results
To this end, an experimental study was performed in the Eastern Scheldt wave flume of Deltares investigating the impact of different design variables on both the 2D hydrodynamicand ecological performance under wave loading, in shallow water conditions. Both irregularand regular wave conditions are tested. This thesis focuses on submerged structures and therefore the freeboard is defined to be positive for submerged structures. In total, 15 different designs are tested amongst which 7 are 2DV configurations and the other 8 are complex 3D configurations. Single as well as double 3D structures are tested and the space between a double structure is referred to as ”channel”.
For the hydrodynamic performance, the impact of several design variable on the transmission coefficient (Kt) and reflection (Kr) is quantified. In this study, Kt is defined as the transmitted waveheight behind the structure divided by the incoming waveheight at the same location without a structure. These coefficients are based on the incident wave signals. As most of these tests had shallow water conditions, with large Ursell numbers, the usual methods to determine the incoming wave did not work. Therefore, to obtain the incoming wave signal, a new method was used, based on a combination of the existing techniques. Lastly, from the irregular waves the transmitted- and reflected energy density spectra are investigated and compared to the results from the regular waves. The results of this study reveal that for the same number of blocks, a more complex structure can be built without making a compromise in the hydrodynamic performance parameters. Furthermore, the existing formulae for the Kt and Kr are compared to results of the hydrodynamic performance as measured. The ones with the best correlation are optimized using a non linear regression analysis.
For the ecological performance, the stream-wise peak velocities are investigated in the wake behind the structure and in the channel. The performance is investigated based on a tranquility index Tr. Tr increases if the flow is more tranquil. The outcomes of Tr showed that in general, Tr increases for an increase in the design variables that were inversely proportional related to Kt .
In conclusion, the performed tests and analysis provide insight into relevant physical processes and design parameters for artificial reefs, and therefore assists the designer of artificial reefs.
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To this end, an experimental study was performed in the Eastern Scheldt wave flume of Deltares investigating the impact of different design variables on both the 2D hydrodynamicand ecological performance under wave loading, in shallow water conditions. Both irregularand regular wave conditions are tested. This thesis focuses on submerged structures and therefore the freeboard is defined to be positive for submerged structures. In total, 15 different designs are tested amongst which 7 are 2DV configurations and the other 8 are complex 3D configurations. Single as well as double 3D structures are tested and the space between a double structure is referred to as ”channel”.
For the hydrodynamic performance, the impact of several design variable on the transmission coefficient (Kt) and reflection (Kr) is quantified. In this study, Kt is defined as the transmitted waveheight behind the structure divided by the incoming waveheight at the same location without a structure. These coefficients are based on the incident wave signals. As most of these tests had shallow water conditions, with large Ursell numbers, the usual methods to determine the incoming wave did not work. Therefore, to obtain the incoming wave signal, a new method was used, based on a combination of the existing techniques. Lastly, from the irregular waves the transmitted- and reflected energy density spectra are investigated and compared to the results from the regular waves. The results of this study reveal that for the same number of blocks, a more complex structure can be built without making a compromise in the hydrodynamic performance parameters. Furthermore, the existing formulae for the Kt and Kr are compared to results of the hydrodynamic performance as measured. The ones with the best correlation are optimized using a non linear regression analysis.
For the ecological performance, the stream-wise peak velocities are investigated in the wake behind the structure and in the channel. The performance is investigated based on a tranquility index Tr. Tr increases if the flow is more tranquil. The outcomes of Tr showed that in general, Tr increases for an increase in the design variables that were inversely proportional related to Kt .
In conclusion, the performed tests and analysis provide insight into relevant physical processes and design parameters for artificial reefs, and therefore assists the designer of artificial reefs.