Marion Tissier
Please Note
35 records found
1
Low-Frequency Wave Dynamics over a Fringing Reef
Observations from La Saline Reef, La Réunion
This study showed that the reef acts as a strong low-pass filter, with GW height decreasing on average by 97.6% from the reef slope to the mid-reef, causing IG and VLF waves to dominate the reef-flat wave field. Variability in both IG and VLF wave heights was mainly explained by the offshore GW power and was further modulated by the water level. IG wave heights at the mid-reef remained approximately equal to their offshore magnitude, whereas VLF wave heights were on average amplified by 235% relative to offshore conditions. In addition, observations on 11 July showed that IG wave heights increased again shoreward, while VLF wave heights remained approximately constant between the mid-reef and the nearshore station.
High reflection near the shoreline, together with cross-shore spectral patterns consistent with the expected locations of nodes and antinodes, indicates the development of standing LF waves across the reef flat. The reflection coefficient decreased offshore, suggesting that the wave field becomes more progressive in character towards the reef crest.
Individual events showed indications of a resonant VLF response consistent with an open-ended basin configuration of the reef flat. However, VLF energy was also present when no such resonant signature was observed. This suggests that resonance alone cannot fully explain the VLF energy on the reef flat. Other generation mechanisms, such as non-linear interactions between IG components, may therefore contribute as well, but require further investigation.
The run-up observations showed that wave set-up formed the largest contribution at 65.9%, while the IG band dominated the oscillatory part at 28.6%, against 3.3% for GW and 2.2% for VLF. Moreover, the 2% exceedance run-up level was approximately 28% higher than the corresponding surface-elevation level close to the shoreline. This indicates that nearshore water-level measurements may underestimate the water levels reached at the shoreline.
Overall, the results show that LF wave heights at La Saline are strongly linked to offshore GW forcing and water levels over the reef, while their spatial structure is shaped by (partly) standing-wave patterns. These LF motions dominate the nearshore wave field and contribute substantially to shoreline run-up. Understanding their full dynamics, including the role of resonance, is therefore important for future flood risk assessment. ...
This study showed that the reef acts as a strong low-pass filter, with GW height decreasing on average by 97.6% from the reef slope to the mid-reef, causing IG and VLF waves to dominate the reef-flat wave field. Variability in both IG and VLF wave heights was mainly explained by the offshore GW power and was further modulated by the water level. IG wave heights at the mid-reef remained approximately equal to their offshore magnitude, whereas VLF wave heights were on average amplified by 235% relative to offshore conditions. In addition, observations on 11 July showed that IG wave heights increased again shoreward, while VLF wave heights remained approximately constant between the mid-reef and the nearshore station.
High reflection near the shoreline, together with cross-shore spectral patterns consistent with the expected locations of nodes and antinodes, indicates the development of standing LF waves across the reef flat. The reflection coefficient decreased offshore, suggesting that the wave field becomes more progressive in character towards the reef crest.
Individual events showed indications of a resonant VLF response consistent with an open-ended basin configuration of the reef flat. However, VLF energy was also present when no such resonant signature was observed. This suggests that resonance alone cannot fully explain the VLF energy on the reef flat. Other generation mechanisms, such as non-linear interactions between IG components, may therefore contribute as well, but require further investigation.
The run-up observations showed that wave set-up formed the largest contribution at 65.9%, while the IG band dominated the oscillatory part at 28.6%, against 3.3% for GW and 2.2% for VLF. Moreover, the 2% exceedance run-up level was approximately 28% higher than the corresponding surface-elevation level close to the shoreline. This indicates that nearshore water-level measurements may underestimate the water levels reached at the shoreline.
Overall, the results show that LF wave heights at La Saline are strongly linked to offshore GW forcing and water levels over the reef, while their spatial structure is shaped by (partly) standing-wave patterns. These LF motions dominate the nearshore wave field and contribute substantially to shoreline run-up. Understanding their full dynamics, including the role of resonance, is therefore important for future flood risk assessment.
Small scale experiments were conducted in the Western Scheldt flume in Deltares , The bathymetry used in the experiments was based on the CREST configuration, scaled down by a factor of 1:6.25, and it consisted of a foreshore with a slope of 1.4:5, to recreate fringing reef conditions. Two artificial reef units with the same shape but a different scale were tested, with nominal printed heights of 4 and 5 cm. The analysis focused mainly on the stability of isolated elements, although full reef configurations were also explored experimentally.
To assess the stability of Coastruction’s design, two sub questions are formulated. The first examines how the offshore wave climate affects the hydrodynamic stability of individual reef units, with particular attention to the transformation of offshore waves over the reef and the role of infragravity waves on the reef flat. The second evaluates the consistency of stability predictions obtained using the Shields and Morison methods, based on laboratory time series data and comparison with observed stability outcomes.
The analysis of the hydrodynamic forcing showed that intense wave breaking over the reef slope, combined with non linear interactions contribute to the enhancement of the infragravity waves (IG), which become the dominant wave motion in the low water level conditions WL05. For WL11 the presence of IG is magnified however to a lesser extent, resulted in a bimodal spectrum. As velocity was the main forcing parameter in the stability formulations, the higher values observed for WL05 were consistent with the corresponding unstable conditions.
Concerning the stability methods, the Shields' method fails to predict the stability patterns observed, likely due to violations of several assumptions underlying its derivation. The effectiveness of the Morison method depends on the definition of the input parameters, where representing the bimodal forcing through an equivalent monochromatic wave appears to reduce predictive ability. Instead, it is more effective if the contribution of each frequency band in shaping the force components is explored separately. Force time series utilizing velocity measurements showed that infragravity waves impose a low frequency oscillation, which combined with the persistent short scale oscillation of the sea swell waves contributes in initiating motion. Therefore, the traditional Morison formulation showed limited predictability, while a modified approach using the infragravity wave velocity component and the sea swell acceleration component appeared more suitable.
Further research is required to evaluate the proposed approach. A first recommendation would be to use direct force measurements to calibrate the force coefficients and expand the experimental dataset, focusing in creating varying infragravity wave contributions. If this is not feasible, applying a safety factor to the estimated required weight is recommended.
...
Small scale experiments were conducted in the Western Scheldt flume in Deltares , The bathymetry used in the experiments was based on the CREST configuration, scaled down by a factor of 1:6.25, and it consisted of a foreshore with a slope of 1.4:5, to recreate fringing reef conditions. Two artificial reef units with the same shape but a different scale were tested, with nominal printed heights of 4 and 5 cm. The analysis focused mainly on the stability of isolated elements, although full reef configurations were also explored experimentally.
To assess the stability of Coastruction’s design, two sub questions are formulated. The first examines how the offshore wave climate affects the hydrodynamic stability of individual reef units, with particular attention to the transformation of offshore waves over the reef and the role of infragravity waves on the reef flat. The second evaluates the consistency of stability predictions obtained using the Shields and Morison methods, based on laboratory time series data and comparison with observed stability outcomes.
The analysis of the hydrodynamic forcing showed that intense wave breaking over the reef slope, combined with non linear interactions contribute to the enhancement of the infragravity waves (IG), which become the dominant wave motion in the low water level conditions WL05. For WL11 the presence of IG is magnified however to a lesser extent, resulted in a bimodal spectrum. As velocity was the main forcing parameter in the stability formulations, the higher values observed for WL05 were consistent with the corresponding unstable conditions.
Concerning the stability methods, the Shields' method fails to predict the stability patterns observed, likely due to violations of several assumptions underlying its derivation. The effectiveness of the Morison method depends on the definition of the input parameters, where representing the bimodal forcing through an equivalent monochromatic wave appears to reduce predictive ability. Instead, it is more effective if the contribution of each frequency band in shaping the force components is explored separately. Force time series utilizing velocity measurements showed that infragravity waves impose a low frequency oscillation, which combined with the persistent short scale oscillation of the sea swell waves contributes in initiating motion. Therefore, the traditional Morison formulation showed limited predictability, while a modified approach using the infragravity wave velocity component and the sea swell acceleration component appeared more suitable.
Further research is required to evaluate the proposed approach. A first recommendation would be to use direct force measurements to calibrate the force coefficients and expand the experimental dataset, focusing in creating varying infragravity wave contributions. If this is not feasible, applying a safety factor to the estimated required weight is recommended.
Artificial Reefs: Effects on Wave Transformation and In-Canopy Flow
Insights from Large-Scale Wave Flume Experiments of a Fringing Reef
This thesis investigates wave transformation and dissipation through large-scale wave flume experiments conducted at Deltares' Delta Flume. The experiments utilized a 1:3 scale model of a Maldivian fringing reef, tested under five wave conditions and two water levels. The experimental setup included a 45-meter-wide reef flat, where a 10-meter section was equipped with either 91 or 153 3D-printed artificial reef elements (0.25m high, 0.40m wide). Data were collected using pressure sensors and flow meters to measure wave transformation, while two ADV arrays analyzed in-canopy flow. These CREST experiments, carried out in collaboration with Plymouth University, Deltares, Boskalis, and Coastruction, contribute to the ARISE project, which explores atoll island adaptation to rising sea levels.
The research addresses four primary objectives: (a) evaluating the impact of artificial reefs on wave transformation, frequency dependence, and water level response; (b) identifying in-canopy flow characteristics; (c) linking these flow characteristics to wave dissipation; and (d) assessing the accuracy of an existing in-canopy flow model.
Findings indicate that as water levels rise, the relative height of the artificial reef decreases, leading to a decline in wave height reduction capacity. The reduction ranges from 8.5% to 15.2% at low water levels and from 4.9% to 5.9% at high water levels. Despite reducing incoming wave heights, artificial reefs can, under certain conditions, increase rather than decrease extreme water levels onshore due to the artificial reef-induced drag force amplifying wave setup.
Analysis of streamwise velocity variance revealed significant spatial differences. Velocity variance decreased more in the ADV array located behind the reef elements compared to the ADV array positioned between them, where velocity variance increased. Flow attenuation was found to be more pronounced at lower water levels, with longer and higher waves attenuated more effectively than shorter and lower waves. The modeled canopy wave dissipation rate, was found to be 43-87% lower than observed dissipation, though still within the same order of magnitude. The discrepancy is partly due to the model not accounting for breaker dissipation and non-linear energy transfers. Flow convergence corrections significantly increased flow attenuation and reduced canopy dissipation rates, while ADV selection had minimal impact.
According to canopy flow regime classification, the tested conditions fell between inertia-dominated and general flow. Reducing element spacing could shift the flow further into the general flow regime, enhancing frequency dependence in flow attenuation and wave dissipation. Given its limited wave height reduction capacity, artificial reefs like these would be most effective when integrated into hybrid coastal protection strategies. Such combinations could enhance both coastal resilience and ecological benefits. Ultimately, the CREST experiments provide a valuable dataset for model calibration and validation, contributing to a deeper understanding of reef hydrodynamics and in-canopy flow dynamics. ...
This thesis investigates wave transformation and dissipation through large-scale wave flume experiments conducted at Deltares' Delta Flume. The experiments utilized a 1:3 scale model of a Maldivian fringing reef, tested under five wave conditions and two water levels. The experimental setup included a 45-meter-wide reef flat, where a 10-meter section was equipped with either 91 or 153 3D-printed artificial reef elements (0.25m high, 0.40m wide). Data were collected using pressure sensors and flow meters to measure wave transformation, while two ADV arrays analyzed in-canopy flow. These CREST experiments, carried out in collaboration with Plymouth University, Deltares, Boskalis, and Coastruction, contribute to the ARISE project, which explores atoll island adaptation to rising sea levels.
The research addresses four primary objectives: (a) evaluating the impact of artificial reefs on wave transformation, frequency dependence, and water level response; (b) identifying in-canopy flow characteristics; (c) linking these flow characteristics to wave dissipation; and (d) assessing the accuracy of an existing in-canopy flow model.
Findings indicate that as water levels rise, the relative height of the artificial reef decreases, leading to a decline in wave height reduction capacity. The reduction ranges from 8.5% to 15.2% at low water levels and from 4.9% to 5.9% at high water levels. Despite reducing incoming wave heights, artificial reefs can, under certain conditions, increase rather than decrease extreme water levels onshore due to the artificial reef-induced drag force amplifying wave setup.
Analysis of streamwise velocity variance revealed significant spatial differences. Velocity variance decreased more in the ADV array located behind the reef elements compared to the ADV array positioned between them, where velocity variance increased. Flow attenuation was found to be more pronounced at lower water levels, with longer and higher waves attenuated more effectively than shorter and lower waves. The modeled canopy wave dissipation rate, was found to be 43-87% lower than observed dissipation, though still within the same order of magnitude. The discrepancy is partly due to the model not accounting for breaker dissipation and non-linear energy transfers. Flow convergence corrections significantly increased flow attenuation and reduced canopy dissipation rates, while ADV selection had minimal impact.
According to canopy flow regime classification, the tested conditions fell between inertia-dominated and general flow. Reducing element spacing could shift the flow further into the general flow regime, enhancing frequency dependence in flow attenuation and wave dissipation. Given its limited wave height reduction capacity, artificial reefs like these would be most effective when integrated into hybrid coastal protection strategies. Such combinations could enhance both coastal resilience and ecological benefits. Ultimately, the CREST experiments provide a valuable dataset for model calibration and validation, contributing to a deeper understanding of reef hydrodynamics and in-canopy flow dynamics.
The research investigates whether a spectral approach can provide a better interpretation of wave-driven sediment dynamics than a monochromatic description. Field measurements were conducted on the Gat van Borsele tidal flat in the Western Scheldt during a month-long campaign in spring 2025. Three instrument frames were deployed along a cross-shore transect, each equipped with acoustic Doppler velocimeters (ADV), suspended sediment sensors (STMS), and pressure sensors. These instruments recorded 3D velocities, suspended sediment concentrations (SSC), and surface elevations to capture the evolution of both short and long wave components under varying water levels, tidal currents, and wind forcing. The resulting dataset allowed the construction of wave spectra and the analysis of corresponding near-bed orbital velocities, bed shear stresses, and sediment responses.
Short waves, defined within frequencies f = [0.1 - 1.5]Hz, were found to dominate surface elevation variance and to behave largely linearly, confirming that local wind-generated waves account for most of the tidal flat’s wave energy. The mild wind conditions were unable to generate depth-limited waves which are typically identified on tidal flats. Instead the effect of wind direction and fetch was clearly observed, where more onshore winds drove larger short waves. Long waves, defined as $f = [0.003 - 0.1] Hz$, were generally less energetic but contributed a significant portion of near-bed velocity variance, particularly at large water depths which attenuate short wave velocities. Large long waves could also be identified which originated outside of the local wave field. These are suspected to be formed by seiches or container vessels passing through the navigation channel. These more pronounced long waves reached orbital velocities similar to the short wave field, highlighting their capacity to influence sediment dynamics.
The SSC analysis revealed strongest responses to wave forcing within shallow water. Suspended sediment concentrations did not respond strongly to changes in wave driven bed shear stress. Instead, peaks in SSC were observed within a suspected turbid fringe which traveled up and down the tidal flat within shallow water between the middle and low measurement frames. At the high measurement frame, SSC had minimal response which contradicted the largest wave driven bed shear stresses at that location. Observing time series of SSC and long wave velocities reveals fluctuations of SSC similar to the long wave time scale. Yet this would require a co-spectral analysis to be confirmed.
The study concludes that a spectral approach enhances understanding of wave and sediment dynamics on muddy tidal flats by distinguishing between short and long wave processes that would otherwise be obscured. Under calm wave climates such as those observed during the measurement period, a monochromatic approach remains adequate. However, during more energetic events or at sites influenced by seiches, vessel traffic, or infra-gravity waves, the spectral approach holds great potential to correctly interpret cross-shore sediment transport by waves. Future research should therefore target more exposed or navigationally influenced flats to capture the full variability of wave-driven processes. Here it is critical to measure for a sufficient burst duration as to fully capture the potential long waves. By applying spectral analyses in such settings, this work contributes to a more complete understanding of estuarine morphodynamics and supports sustainable management of tidal flat systems. ...
The research investigates whether a spectral approach can provide a better interpretation of wave-driven sediment dynamics than a monochromatic description. Field measurements were conducted on the Gat van Borsele tidal flat in the Western Scheldt during a month-long campaign in spring 2025. Three instrument frames were deployed along a cross-shore transect, each equipped with acoustic Doppler velocimeters (ADV), suspended sediment sensors (STMS), and pressure sensors. These instruments recorded 3D velocities, suspended sediment concentrations (SSC), and surface elevations to capture the evolution of both short and long wave components under varying water levels, tidal currents, and wind forcing. The resulting dataset allowed the construction of wave spectra and the analysis of corresponding near-bed orbital velocities, bed shear stresses, and sediment responses.
Short waves, defined within frequencies f = [0.1 - 1.5]Hz, were found to dominate surface elevation variance and to behave largely linearly, confirming that local wind-generated waves account for most of the tidal flat’s wave energy. The mild wind conditions were unable to generate depth-limited waves which are typically identified on tidal flats. Instead the effect of wind direction and fetch was clearly observed, where more onshore winds drove larger short waves. Long waves, defined as $f = [0.003 - 0.1] Hz$, were generally less energetic but contributed a significant portion of near-bed velocity variance, particularly at large water depths which attenuate short wave velocities. Large long waves could also be identified which originated outside of the local wave field. These are suspected to be formed by seiches or container vessels passing through the navigation channel. These more pronounced long waves reached orbital velocities similar to the short wave field, highlighting their capacity to influence sediment dynamics.
The SSC analysis revealed strongest responses to wave forcing within shallow water. Suspended sediment concentrations did not respond strongly to changes in wave driven bed shear stress. Instead, peaks in SSC were observed within a suspected turbid fringe which traveled up and down the tidal flat within shallow water between the middle and low measurement frames. At the high measurement frame, SSC had minimal response which contradicted the largest wave driven bed shear stresses at that location. Observing time series of SSC and long wave velocities reveals fluctuations of SSC similar to the long wave time scale. Yet this would require a co-spectral analysis to be confirmed.
The study concludes that a spectral approach enhances understanding of wave and sediment dynamics on muddy tidal flats by distinguishing between short and long wave processes that would otherwise be obscured. Under calm wave climates such as those observed during the measurement period, a monochromatic approach remains adequate. However, during more energetic events or at sites influenced by seiches, vessel traffic, or infra-gravity waves, the spectral approach holds great potential to correctly interpret cross-shore sediment transport by waves. Future research should therefore target more exposed or navigationally influenced flats to capture the full variability of wave-driven processes. Here it is critical to measure for a sufficient burst duration as to fully capture the potential long waves. By applying spectral analyses in such settings, this work contributes to a more complete understanding of estuarine morphodynamics and supports sustainable management of tidal flat systems.
This thesis introduces a new methodology for assessing transient characteristics of resonant and energetic low-frequency oscillations using the Hilbert-Huang transform. The study is based on a 5-month dataset from a cross-shore transect of a reef at Roi-Namur in the Marshall Islands, where the reef geomorphology corresponds to a natural frequency in the very low-frequency range (VLF, 0.001-0.005 Hz).
The findings indicate that resonance in the dataset typically had a short persistence, with a median and 90th duration of approximately 5 and 10 minutes respectively. Normalised with the period of the oscillations, which have a typical frequency of 0.0035 Hz, these durations are equal to approximately 1 and 2 wave oscillations. While these results are consistent with previous notions about the potentially short durations of resonance for this particular reef and dataset, they contradict suggestions that resonance is associated with a build-up over several wave periods. Comparison of resonance durations with instances of coastal flooding at the site shows that resonance occurred for about 1 hour within a 24-hour recording period during overwash and large runup events, but also at other times. The duration of energetic VLF oscillations, in general, was more closely linked to the severity of coastal flooding events. While resonance did not directly correspond to coastal flooding, it was observed that energetic VLF oscillations persisted for longer durations under (close to) resonant conditions.
These results suggest the critical role of energetic VLF waves in coastal hazards, while resonance may be of secondary importance. However, it is important to acknowledge the limitations of this study, which focused on a single dataset from a specific reef geometry and included short-duration recordings (34 minutes). Moreover, this study demonstrates the application of the Hilbert-Huang transform for analysing sea surface elevation signals recorded at a coral reef.
The insights gained from this research underscore the importance of considering both energetic VLF oscillations and resonance in coastal hazard assessment. Future investigations should explore factors influencing the persistence of such oscillations, like the characteristics of incoming wave forcing, to enhance coastal hazard prediction. Furthermore, the Hilbert-Huang transform offers a versatile framework for exploring more aspects regarding the time-varying and non-linear behaviour of waves on coral reefs.
The methodology framework proposed in this study facilitates the bulk analysis of extensive field data and longer sea surface elevation recordings, enabling further exploration of reef morphology and hydrodynamic controls on the persistence of energetic and resonant VLF oscillations. ...
This thesis introduces a new methodology for assessing transient characteristics of resonant and energetic low-frequency oscillations using the Hilbert-Huang transform. The study is based on a 5-month dataset from a cross-shore transect of a reef at Roi-Namur in the Marshall Islands, where the reef geomorphology corresponds to a natural frequency in the very low-frequency range (VLF, 0.001-0.005 Hz).
The findings indicate that resonance in the dataset typically had a short persistence, with a median and 90th duration of approximately 5 and 10 minutes respectively. Normalised with the period of the oscillations, which have a typical frequency of 0.0035 Hz, these durations are equal to approximately 1 and 2 wave oscillations. While these results are consistent with previous notions about the potentially short durations of resonance for this particular reef and dataset, they contradict suggestions that resonance is associated with a build-up over several wave periods. Comparison of resonance durations with instances of coastal flooding at the site shows that resonance occurred for about 1 hour within a 24-hour recording period during overwash and large runup events, but also at other times. The duration of energetic VLF oscillations, in general, was more closely linked to the severity of coastal flooding events. While resonance did not directly correspond to coastal flooding, it was observed that energetic VLF oscillations persisted for longer durations under (close to) resonant conditions.
These results suggest the critical role of energetic VLF waves in coastal hazards, while resonance may be of secondary importance. However, it is important to acknowledge the limitations of this study, which focused on a single dataset from a specific reef geometry and included short-duration recordings (34 minutes). Moreover, this study demonstrates the application of the Hilbert-Huang transform for analysing sea surface elevation signals recorded at a coral reef.
The insights gained from this research underscore the importance of considering both energetic VLF oscillations and resonance in coastal hazard assessment. Future investigations should explore factors influencing the persistence of such oscillations, like the characteristics of incoming wave forcing, to enhance coastal hazard prediction. Furthermore, the Hilbert-Huang transform offers a versatile framework for exploring more aspects regarding the time-varying and non-linear behaviour of waves on coral reefs.
The methodology framework proposed in this study facilitates the bulk analysis of extensive field data and longer sea surface elevation recordings, enabling further exploration of reef morphology and hydrodynamic controls on the persistence of energetic and resonant VLF oscillations.
Investigating the incident records reveals that the key contributors are the primary water motions generated by the passing vessels in the Western Scheldt. The phenomenon, experienced as a sudden lowering of the water level and suction forces, can lead to the breakage of mooring lines and uncontrolled movements of inland ships, resulting in a range of safety hazards and operational disruptions. Several documented incidents, field studies and interviews highlight the urgency for effective measures to mitigate the potentially harmful effects of passing vessels on the ships in the Hansweert outer harbour and locks.
A seven-week measurement campaign, involving 1281 passages of so-called oversized vessels, reveals distinct patterns of water level fluctuations during a vessel’s passage. A vessel is considered oversized if its length exceeds 210 metres or if its draught is larger than 10 metres. These patterns are described as a translatory drawdown wave travelling into the harbour, reflecting against the lock complex and oscillating back and forth in the outer harbour until dampened. The key parameter characterizing this wave is the lowering of the water level, referred to as the drawdown height. The average measured drawdown height approximates 6 centimetres, with maximum observations up to 40 centimetres. The main factors influencing the drawdown height are the vessel’s passing distance to the outer harbour, its speed relative to the currents and its dimensions, shown by a correlation analysis between the parameters describing the passing vessel and the generated drawdown height. Extreme drawdown events were exclusively observed during a combination of a relatively high speed through the water of the seagoing vessel and small passing distances relative to the harbour’s entrance.
The impact of the drawdown effects on the inland ships is determined by the forces generated by the pressure difference along the ships, caused by the inclination of the water level. A critical drawdown height of 12 centimetres is set, based on existing force criteria and the linear relation between the drawdown height and water level slope. To improve on the existing drawdown height prediction methods, a site-specific drawdown height prediction equation has been derived. Validation of this equation using the observations made during the measurement campaign yields a Pearson correlation coefficient of 0.81 and an Mean Absolute Error score of 2.2 centimetres.
Preventative measures are identified, aiming to minimize incidents and mitigate the risks related to the water motions induced by passing vessels. The predicted drawdown, generated by the passing vessel, is kept below the critical level by recommending a maximum speed related to the passing distance and dimensions of the vessel. Practically, this measure could be applied as a calculation tool or as an overlay on the pilot’s electronic sea chart. Coupling this information with awareness campaigns for pilots will contribute to minimizing the adverse effects on the ships in the outer harbour. The resilience against drawdown-induced risks could be strengthened by restricting the maximum combined width of ships moored alongside. Furthermore, by limiting the excessive slack in the lines of the moored ships, through signage and floating bollards, the movements of the ships will be restricted, reducing the risk of line breakage. Notifications of anticipated critical drawdowns would allow traffic controllers or lock operators to caution the inland ships and delay the lock chamber door openings, whilst alerting the passing vessel. Incorporating the mitigation measures recommended in this research could positively impact the safety of navigation in the Hansweert outer harbour and locks. ...
Investigating the incident records reveals that the key contributors are the primary water motions generated by the passing vessels in the Western Scheldt. The phenomenon, experienced as a sudden lowering of the water level and suction forces, can lead to the breakage of mooring lines and uncontrolled movements of inland ships, resulting in a range of safety hazards and operational disruptions. Several documented incidents, field studies and interviews highlight the urgency for effective measures to mitigate the potentially harmful effects of passing vessels on the ships in the Hansweert outer harbour and locks.
A seven-week measurement campaign, involving 1281 passages of so-called oversized vessels, reveals distinct patterns of water level fluctuations during a vessel’s passage. A vessel is considered oversized if its length exceeds 210 metres or if its draught is larger than 10 metres. These patterns are described as a translatory drawdown wave travelling into the harbour, reflecting against the lock complex and oscillating back and forth in the outer harbour until dampened. The key parameter characterizing this wave is the lowering of the water level, referred to as the drawdown height. The average measured drawdown height approximates 6 centimetres, with maximum observations up to 40 centimetres. The main factors influencing the drawdown height are the vessel’s passing distance to the outer harbour, its speed relative to the currents and its dimensions, shown by a correlation analysis between the parameters describing the passing vessel and the generated drawdown height. Extreme drawdown events were exclusively observed during a combination of a relatively high speed through the water of the seagoing vessel and small passing distances relative to the harbour’s entrance.
The impact of the drawdown effects on the inland ships is determined by the forces generated by the pressure difference along the ships, caused by the inclination of the water level. A critical drawdown height of 12 centimetres is set, based on existing force criteria and the linear relation between the drawdown height and water level slope. To improve on the existing drawdown height prediction methods, a site-specific drawdown height prediction equation has been derived. Validation of this equation using the observations made during the measurement campaign yields a Pearson correlation coefficient of 0.81 and an Mean Absolute Error score of 2.2 centimetres.
Preventative measures are identified, aiming to minimize incidents and mitigate the risks related to the water motions induced by passing vessels. The predicted drawdown, generated by the passing vessel, is kept below the critical level by recommending a maximum speed related to the passing distance and dimensions of the vessel. Practically, this measure could be applied as a calculation tool or as an overlay on the pilot’s electronic sea chart. Coupling this information with awareness campaigns for pilots will contribute to minimizing the adverse effects on the ships in the outer harbour. The resilience against drawdown-induced risks could be strengthened by restricting the maximum combined width of ships moored alongside. Furthermore, by limiting the excessive slack in the lines of the moored ships, through signage and floating bollards, the movements of the ships will be restricted, reducing the risk of line breakage. Notifications of anticipated critical drawdowns would allow traffic controllers or lock operators to caution the inland ships and delay the lock chamber door openings, whilst alerting the passing vessel. Incorporating the mitigation measures recommended in this research could positively impact the safety of navigation in the Hansweert outer harbour and locks.
Optimising Artificial Reef Design through Large-Scale Experiments
Part of CREST: Coral Reef Restoration for Coastal Resilience
The results of this thesis show a limited impact of an optimised artificial reef on the reef flat, with effectiveness expected to decrease further as sea levels rise. However, the smaller scale of the reef elements prioritises ecological benefits, and when combined with larger structures, these reefs can still offer valuable benefits for biodiversity and wave mitigation. The experiments provide a valuable new dataset on the hydrodynamics of complex canopies, and can be used to calibrate several numerical models and methods of schematising artificial reefs. ...
The results of this thesis show a limited impact of an optimised artificial reef on the reef flat, with effectiveness expected to decrease further as sea levels rise. However, the smaller scale of the reef elements prioritises ecological benefits, and when combined with larger structures, these reefs can still offer valuable benefits for biodiversity and wave mitigation. The experiments provide a valuable new dataset on the hydrodynamics of complex canopies, and can be used to calibrate several numerical models and methods of schematising artificial reefs.
Influence of frequency-directional wave spectra on the wave induced fatigue loads on offshore wind turbines
Comparative Analysis of Wave Characteristics on Fatigue Load Differences between 2D and JONSWAP Wave Spectra
For the design of OWT the fatigue limit state is next to the ultimate limit state a crucial design loading condition to consider. In the current engineering practice, wave spectra are mostly reconstructed with the JONSWAP spectral parametrization which gives a simplified representation of the actual sea surface based on bulk wave parameters for wave components, such as wind-sea and swell. By using realistic frequency-directional (2D)-wave spectra instead of the JONSWAP spectral model, the wave spectral density distribution can be showed in its most authentic form.
This study investigates the influence of 2D-wave spectra on the wave-induced fatigue loads on OWT’s, as a comparison to the commonly used JONSWAP spectral parametrization. Therefore the relation of different wind and wave parameter as well as of the wave spectral characteristics on the wave-induced loads and the load differences between both spectra are investigated. Wave spectral data as well as bulk wave parameters for a wind-sea and swell wave component were obtained from the DHI MetOcean database for the Dutch North Sea. Based on those the fatigue loads were calculated in the frequency domain using Dirlik’s method.
Results show that the JONSWAP spectral parametrization leads to an overall overestimation in the range of ∼ 12 - 15 % of the total wave-induced fatigue loads compared to those obtained from 2D-wave spectra. The highest fatigue load differences and DEL overestimation between the JONSWAP and 2D- wave spectra were observed for significant wave heights between 2 and 3.8 m (14.70 % overestimation), peak periods between 8 and 15 s (13.63 % overestimation) and wind speeds between 10 and 20 m/s (15.04 % overestimation).
Furthermore, it was observed that narrow frequency and directional width, between 0.1 - 0.3 Hz and 20 and 30 deg, lead to the highest discrepancies for the calculated fatigue loads between the JONSWAP and 2D-wave spectra (∼ 13 % overestimation). For extreme sea states, that correspond to the upper 5 % of the observed data it appears that the JONSWAP spectral parametrization leads mostly to an underestimation of the calculated fatigue loads.
With the distance correlation calculation the dependencies between the wave characteristics, such as the frequency width, directional width and the peakedness parameter, and the fatigue load differences was quantified. But this analysis did not result in additional research insights since the obtained corre- lation coefficients were almost identical and only exhibiting weak dependencies.
Still, it can be concluded that using 2D-wave spectra in the engineering practice and for the fatigue load calculation on OWT’s with monopiles as substructures, physically more representative loads can be obtained compared to those computed with the simplified JONSWAP spectral model. This more realistic load estimation could finally lead to an improved design of OWT’s. ...
For the design of OWT the fatigue limit state is next to the ultimate limit state a crucial design loading condition to consider. In the current engineering practice, wave spectra are mostly reconstructed with the JONSWAP spectral parametrization which gives a simplified representation of the actual sea surface based on bulk wave parameters for wave components, such as wind-sea and swell. By using realistic frequency-directional (2D)-wave spectra instead of the JONSWAP spectral model, the wave spectral density distribution can be showed in its most authentic form.
This study investigates the influence of 2D-wave spectra on the wave-induced fatigue loads on OWT’s, as a comparison to the commonly used JONSWAP spectral parametrization. Therefore the relation of different wind and wave parameter as well as of the wave spectral characteristics on the wave-induced loads and the load differences between both spectra are investigated. Wave spectral data as well as bulk wave parameters for a wind-sea and swell wave component were obtained from the DHI MetOcean database for the Dutch North Sea. Based on those the fatigue loads were calculated in the frequency domain using Dirlik’s method.
Results show that the JONSWAP spectral parametrization leads to an overall overestimation in the range of ∼ 12 - 15 % of the total wave-induced fatigue loads compared to those obtained from 2D-wave spectra. The highest fatigue load differences and DEL overestimation between the JONSWAP and 2D- wave spectra were observed for significant wave heights between 2 and 3.8 m (14.70 % overestimation), peak periods between 8 and 15 s (13.63 % overestimation) and wind speeds between 10 and 20 m/s (15.04 % overestimation).
Furthermore, it was observed that narrow frequency and directional width, between 0.1 - 0.3 Hz and 20 and 30 deg, lead to the highest discrepancies for the calculated fatigue loads between the JONSWAP and 2D-wave spectra (∼ 13 % overestimation). For extreme sea states, that correspond to the upper 5 % of the observed data it appears that the JONSWAP spectral parametrization leads mostly to an underestimation of the calculated fatigue loads.
With the distance correlation calculation the dependencies between the wave characteristics, such as the frequency width, directional width and the peakedness parameter, and the fatigue load differences was quantified. But this analysis did not result in additional research insights since the obtained corre- lation coefficients were almost identical and only exhibiting weak dependencies.
Still, it can be concluded that using 2D-wave spectra in the engineering practice and for the fatigue load calculation on OWT’s with monopiles as substructures, physically more representative loads can be obtained compared to those computed with the simplified JONSWAP spectral model. This more realistic load estimation could finally lead to an improved design of OWT’s.
The risk assessment of areas protected by dunes is often performed using predictive dune erosion models. Such models first use possible storm conditions as input, then use a set of physics based and empirical equations to model the physical processes based on that input, and finally use a measure of impact to the dunes from the model results to estimate the amount of damage to the dunes. However, not all physical processes are currently fully understood, complicating accurate reproductions in models and the risk assessment of areas protected by dunes.
This dissertation aims to study two such physical processes that are relevant to dune erosion during storm surges in the swash-dune collision regime. The first process is the suspension of sediments in the inner surf zone. The total amount of sediment in the water column affects the sediment transport rates. As a consequence, sediment concentrations can have a substantial impact on the magnitude and speed with which sediments eroded from the dune face are transported offshore, and thus on the total amount of dune erosion.
The second process studied is sediment transport due to soil instabilities, i.e. the slumping (or avalanching) of sediments from the dune face. Sediment transport due to soil instabilities leads to dune scarping and a gradual retreat of the dune face. If this type of transport persists for a prolonged period of time, the retreat of the dune face can continue until there is no more dune to erode. As a consequence, the dune breaches and enters the overwash regime, and complete failure of the dune may follow.
To study both processes, a prototype scale field experiment was conducted in the winter of 2021-2022. Two artificial dunes were constructed in close proximity to the high water line on a sandy beach. This increased the probability that the total water level driven by a storm event would result in dune erosion within the swash-dune collision regime. The dunes were monitored for a period of three months and within this period three such events occurred.
The suspension of sediments in the inner surf zone was studied by comparing variability in measured, wave-averaged (i.e. 20 min mean) suspended sediment concentrations. These variations were compared to variability of hydrodynamic drivers that are known from literature to govern sediment suspension during storm conditions. Overall, sediment suspension due to bore turbulence appeared the dominant suspension driver during energetic events representative of storm conditions. During such events, wave energy was saturated in the inner surf zone, and almost all waves were breaking and contributed to the generation of bore turbulence at the free surface. The outcome of the first study suggests that, based on the events analysed, dune erosion models may achieve more accurate results if computations of the magnitude of suspended sediment concentrations were to include a bore-induced turbulence term. If such a term is already included, models should properly address the relative importance of bore-induced turbulence when compared to other drivers.
Sediment transport due to soil instabilities was studied by analysing profile crosssections of the dune face during two storm events. Overall, the morphodynamic behaviour of the upper dune face and dune crest was primarily steered by the morphodynamic behaviour at the dune base. The morphodynamic behaviour (i.e. erosion rate) of the dune base correlated well with the elevation difference between the dune base and the incident total water levels, specifically the square of the total water level that was exceeded for 2% of the time. The slumping events that occurred during both storms likely occurred when sediments from previous slumps at the dune base were nearly depleted by the persisting erosion rate. As a consequence, under similar erosion rates, a new slumping event occurred sooner when the volume of the preceding slump was smaller. A clear relationship could not be established between hydrodynamics seaward of the dune and the volume of individual slumps.
Different model approaches are currently being used to implement sediment transport due to soil instabilities. These different approaches all use the persisting erosion rate of the submerged part of the dune base to steer the erosion of the upper dune face. Therefore, according to the field experiment results, these different approaches may all be able to achieve accurate dune erosion volume magnitudes. Still, depending on the application (e.g. one-dimensional versus two-dimensional modelling), one approach might be more suitable than others.
...
The risk assessment of areas protected by dunes is often performed using predictive dune erosion models. Such models first use possible storm conditions as input, then use a set of physics based and empirical equations to model the physical processes based on that input, and finally use a measure of impact to the dunes from the model results to estimate the amount of damage to the dunes. However, not all physical processes are currently fully understood, complicating accurate reproductions in models and the risk assessment of areas protected by dunes.
This dissertation aims to study two such physical processes that are relevant to dune erosion during storm surges in the swash-dune collision regime. The first process is the suspension of sediments in the inner surf zone. The total amount of sediment in the water column affects the sediment transport rates. As a consequence, sediment concentrations can have a substantial impact on the magnitude and speed with which sediments eroded from the dune face are transported offshore, and thus on the total amount of dune erosion.
The second process studied is sediment transport due to soil instabilities, i.e. the slumping (or avalanching) of sediments from the dune face. Sediment transport due to soil instabilities leads to dune scarping and a gradual retreat of the dune face. If this type of transport persists for a prolonged period of time, the retreat of the dune face can continue until there is no more dune to erode. As a consequence, the dune breaches and enters the overwash regime, and complete failure of the dune may follow.
To study both processes, a prototype scale field experiment was conducted in the winter of 2021-2022. Two artificial dunes were constructed in close proximity to the high water line on a sandy beach. This increased the probability that the total water level driven by a storm event would result in dune erosion within the swash-dune collision regime. The dunes were monitored for a period of three months and within this period three such events occurred.
The suspension of sediments in the inner surf zone was studied by comparing variability in measured, wave-averaged (i.e. 20 min mean) suspended sediment concentrations. These variations were compared to variability of hydrodynamic drivers that are known from literature to govern sediment suspension during storm conditions. Overall, sediment suspension due to bore turbulence appeared the dominant suspension driver during energetic events representative of storm conditions. During such events, wave energy was saturated in the inner surf zone, and almost all waves were breaking and contributed to the generation of bore turbulence at the free surface. The outcome of the first study suggests that, based on the events analysed, dune erosion models may achieve more accurate results if computations of the magnitude of suspended sediment concentrations were to include a bore-induced turbulence term. If such a term is already included, models should properly address the relative importance of bore-induced turbulence when compared to other drivers.
Sediment transport due to soil instabilities was studied by analysing profile crosssections of the dune face during two storm events. Overall, the morphodynamic behaviour of the upper dune face and dune crest was primarily steered by the morphodynamic behaviour at the dune base. The morphodynamic behaviour (i.e. erosion rate) of the dune base correlated well with the elevation difference between the dune base and the incident total water levels, specifically the square of the total water level that was exceeded for 2% of the time. The slumping events that occurred during both storms likely occurred when sediments from previous slumps at the dune base were nearly depleted by the persisting erosion rate. As a consequence, under similar erosion rates, a new slumping event occurred sooner when the volume of the preceding slump was smaller. A clear relationship could not be established between hydrodynamics seaward of the dune and the volume of individual slumps.
Different model approaches are currently being used to implement sediment transport due to soil instabilities. These different approaches all use the persisting erosion rate of the submerged part of the dune base to steer the erosion of the upper dune face. Therefore, according to the field experiment results, these different approaches may all be able to achieve accurate dune erosion volume magnitudes. Still, depending on the application (e.g. one-dimensional versus two-dimensional modelling), one approach might be more suitable than others.
Data was collected through physical model tests in a wave flume at Deltares, using Froude scaling with a length scale of nL=4. The experiments involved 1 to 2-meter-long reefs composed of three distinct structures with different geometrical complexity levels: design 1 (medium complexity), design 2 (maximum complexity), and cubes (low complexity). These structures were tested under similar, primarily non-breaking wave conditions. The aim was to determine if the dissipation observed resulted from friction rather than wave breaking.
The results of the conducted experiments showed that structural complexity does not significantly affect wave transmission. Overall, high transmission coefficient were observed across the different structures, ranging from 0.96-0.99. Additionally, no significant differences in dissipation were found among the three structure types, with dissipation ranging from 5.5% to 13.5% of the incoming wave energy. However, increased reef coverage positively impacts transmission reduction and spectral wave dissipation, exhibiting a linear decrease in transmission coefficients and a simultaneous increase in dissipation.
In summary, the various artificial reefs examined in this study demonstrated minimal effectiveness in wave attenuation, with negligible differences among reefs featuring different degrees of structural complexity. Despite the similar wave attenuation effects, the environmental benefits of a highly structurally complex reef suggest that it should be considered a viable solution. ...
Data was collected through physical model tests in a wave flume at Deltares, using Froude scaling with a length scale of nL=4. The experiments involved 1 to 2-meter-long reefs composed of three distinct structures with different geometrical complexity levels: design 1 (medium complexity), design 2 (maximum complexity), and cubes (low complexity). These structures were tested under similar, primarily non-breaking wave conditions. The aim was to determine if the dissipation observed resulted from friction rather than wave breaking.
The results of the conducted experiments showed that structural complexity does not significantly affect wave transmission. Overall, high transmission coefficient were observed across the different structures, ranging from 0.96-0.99. Additionally, no significant differences in dissipation were found among the three structure types, with dissipation ranging from 5.5% to 13.5% of the incoming wave energy. However, increased reef coverage positively impacts transmission reduction and spectral wave dissipation, exhibiting a linear decrease in transmission coefficients and a simultaneous increase in dissipation.
In summary, the various artificial reefs examined in this study demonstrated minimal effectiveness in wave attenuation, with negligible differences among reefs featuring different degrees of structural complexity. Despite the similar wave attenuation effects, the environmental benefits of a highly structurally complex reef suggest that it should be considered a viable solution.
The wave trains at offshore and nearshore locations are analyzed by wave spectral partitions (Portilla at el., 2009). The temporal variability of consistently occurring wave trains can be analyzed through so-called wave families (Portilla et al., 2015). The wave partitions show that a unimodal wave spectrum occurs 35% of the time in front of the coast of the province of North Holland in the Netherlands. This means an error is introduced 65% of the time as unimodal spectra are assumed in traditional methods that use generalized wave parameters to estimate sediment transport. When the wave field is not unimodal, the angle between wave trains is considerable. Only 39% of the time is the angle between a wave train and the most energetic wave train smaller than 60°. For 43% of the time, the angle is between 60° and 120°. The remaining 17% are wave trains propagating in opposite directions. The difference in wave angle is half of the time larger than 50° when a threshold of one meter of deepwater significant wave height over the whole spectrum, defined by Holthuijsen (2007), is used.
Unsupervised machine learning techniques Principal Component Analysis, Maximum Dissimilarity Analysis, and the kmean clustering algorithm are used to group similar wave spectrums over time, spatially group wave families, analyze the wave climate's spatial-temporal variability, relate wave - and weather conditions, and assess their impact on wave-driven potential sediment transport. The Principal Component Analysis is used as a dimensionality reduction technique. This study shows the physical meaning of the Principal Components and their temporal variability in the wave frequency-directional spectrums, where Principal Components describe wave energy in each frequency-directional bin. The kmean clustering algorithm groups similar wave spectrums over time and gives insight into wave conditions, like calm and stormy conditions, called Sea States. The Maximum Dissimilarity Technique changes the focus between common conditions or extreme events. The wave partitions, wave families, and Principal Components give additional insight into the Sea States.
Potential sediment transport estimations are made by traditional methods that use a representative wave frequency and direction and through vectorizing and superpositioning the estimations by wave partitions and wave families. The outcomes show that it is challenging to predict sediment transport for multimodal wave conditions with state-of-the-art sediment transport formulations and models. The results show that the wave period significantly impacts sediment transport. The sediment transport for coexisting wave trains causes about 58% of the time more sediment transport than traditional methods. Here the not considered interaction between wave trains on bedload and sediment suspension will enhance sediment transport. Furthermore, the sediment transport estimations give insight into the wavefield and weather conditions that contribute most to the yearly wind-wave induced potential sediment transport caused by high energetic or consistently occurring conditions.
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The wave trains at offshore and nearshore locations are analyzed by wave spectral partitions (Portilla at el., 2009). The temporal variability of consistently occurring wave trains can be analyzed through so-called wave families (Portilla et al., 2015). The wave partitions show that a unimodal wave spectrum occurs 35% of the time in front of the coast of the province of North Holland in the Netherlands. This means an error is introduced 65% of the time as unimodal spectra are assumed in traditional methods that use generalized wave parameters to estimate sediment transport. When the wave field is not unimodal, the angle between wave trains is considerable. Only 39% of the time is the angle between a wave train and the most energetic wave train smaller than 60°. For 43% of the time, the angle is between 60° and 120°. The remaining 17% are wave trains propagating in opposite directions. The difference in wave angle is half of the time larger than 50° when a threshold of one meter of deepwater significant wave height over the whole spectrum, defined by Holthuijsen (2007), is used.
Unsupervised machine learning techniques Principal Component Analysis, Maximum Dissimilarity Analysis, and the kmean clustering algorithm are used to group similar wave spectrums over time, spatially group wave families, analyze the wave climate's spatial-temporal variability, relate wave - and weather conditions, and assess their impact on wave-driven potential sediment transport. The Principal Component Analysis is used as a dimensionality reduction technique. This study shows the physical meaning of the Principal Components and their temporal variability in the wave frequency-directional spectrums, where Principal Components describe wave energy in each frequency-directional bin. The kmean clustering algorithm groups similar wave spectrums over time and gives insight into wave conditions, like calm and stormy conditions, called Sea States. The Maximum Dissimilarity Technique changes the focus between common conditions or extreme events. The wave partitions, wave families, and Principal Components give additional insight into the Sea States.
Potential sediment transport estimations are made by traditional methods that use a representative wave frequency and direction and through vectorizing and superpositioning the estimations by wave partitions and wave families. The outcomes show that it is challenging to predict sediment transport for multimodal wave conditions with state-of-the-art sediment transport formulations and models. The results show that the wave period significantly impacts sediment transport. The sediment transport for coexisting wave trains causes about 58% of the time more sediment transport than traditional methods. Here the not considered interaction between wave trains on bedload and sediment suspension will enhance sediment transport. Furthermore, the sediment transport estimations give insight into the wavefield and weather conditions that contribute most to the yearly wind-wave induced potential sediment transport caused by high energetic or consistently occurring conditions.
Non-stationary multivariate extreme events in mangrove environments
A global impact assessment
This study examined non-stationary extreme events between 1987 and 2018 for a total of 5809 hydrodynamic environments distributed around the global mangrove coastline. These mangrove environments defined the hydrodynamic wave characteristics and water levels. The results showed that 87.5% of the mangrove environments have a positive trend in the location parameter of the Generalized Pareto Distribution for the extreme events. The shift of the location parameter indicates an increase of the impact of the extreme events. These extreme events were defined as multivariate extreme events consisting of the significant wave height, the mean wave period and the skew-storm surge, respectively the parameters Hs, Tm and S. This combination is based on the fact that the coastal protection offered by mangroves is depending on the water level and the energy within the long-period waves.
The methodology proposed is capable to perform a non-stationary multivariate extreme value analysis and observe the evolution of the extreme events in these three dimensions between 1987 and 2018. The study showed that the average of the extreme events has been increasing at 70.6%, 72.6% and 64.6% of the mangrove environments in the discussed three dimensions. The average multivariate extreme event in mangrove environments increased by 0.06 m, 0.16 s, and 0.7 cm in three dimensions respectively Hs, Tm, and S. Furthermore, the number of extreme events increased, on average, between the first and second half of the time period, from 4.16 to 4.32 extreme events per year.
The global impact assessment of the non-stationarity of these multivariate extreme events was translated to the 27440 mangrove locations along the global coastlines. Statistical upscaling methods allowed the application of a numerical expensive hydrodynamic model to propagate the offshore conditions to onshore. The impact of the non-stationarity of extreme events was applied to a theoretical framework, introducing the possibility of defining the vegetation width as an optimization parameter. To meet the same safety standard for the 1/40 year design condition in 2018 concerning 1987, the vegetation width of the theoretical framework had to increase on average by 16.8 m. After post-processing the hydrodynamic runs, the results showed that the coastal safety offered by mangrove vegetation is depending on the combined impact of these three parameters, emphasizing the importance of expanding the mangrove vegetation to withstand the non-stationary multivariate extreme event.
The main recommendations from this study are based on the results. First, the study showed that the required vegetation width to ensure coastal safety has increased. It is therefore highly questionable if a stationary extreme value analysis is still valid in these environments, especially when the currently neglecting sea level rise is taken into account. Second, the observed increase in multivariate extreme events and the number of extreme events may reduce the persistence of mangroves and therewith their ability as coastal protection. It is therefore recommended to monitor the condition of the global mangrove forests more closely and to take action when mangrove vegetation is decreasing. ...
This study examined non-stationary extreme events between 1987 and 2018 for a total of 5809 hydrodynamic environments distributed around the global mangrove coastline. These mangrove environments defined the hydrodynamic wave characteristics and water levels. The results showed that 87.5% of the mangrove environments have a positive trend in the location parameter of the Generalized Pareto Distribution for the extreme events. The shift of the location parameter indicates an increase of the impact of the extreme events. These extreme events were defined as multivariate extreme events consisting of the significant wave height, the mean wave period and the skew-storm surge, respectively the parameters Hs, Tm and S. This combination is based on the fact that the coastal protection offered by mangroves is depending on the water level and the energy within the long-period waves.
The methodology proposed is capable to perform a non-stationary multivariate extreme value analysis and observe the evolution of the extreme events in these three dimensions between 1987 and 2018. The study showed that the average of the extreme events has been increasing at 70.6%, 72.6% and 64.6% of the mangrove environments in the discussed three dimensions. The average multivariate extreme event in mangrove environments increased by 0.06 m, 0.16 s, and 0.7 cm in three dimensions respectively Hs, Tm, and S. Furthermore, the number of extreme events increased, on average, between the first and second half of the time period, from 4.16 to 4.32 extreme events per year.
The global impact assessment of the non-stationarity of these multivariate extreme events was translated to the 27440 mangrove locations along the global coastlines. Statistical upscaling methods allowed the application of a numerical expensive hydrodynamic model to propagate the offshore conditions to onshore. The impact of the non-stationarity of extreme events was applied to a theoretical framework, introducing the possibility of defining the vegetation width as an optimization parameter. To meet the same safety standard for the 1/40 year design condition in 2018 concerning 1987, the vegetation width of the theoretical framework had to increase on average by 16.8 m. After post-processing the hydrodynamic runs, the results showed that the coastal safety offered by mangrove vegetation is depending on the combined impact of these three parameters, emphasizing the importance of expanding the mangrove vegetation to withstand the non-stationary multivariate extreme event.
The main recommendations from this study are based on the results. First, the study showed that the required vegetation width to ensure coastal safety has increased. It is therefore highly questionable if a stationary extreme value analysis is still valid in these environments, especially when the currently neglecting sea level rise is taken into account. Second, the observed increase in multivariate extreme events and the number of extreme events may reduce the persistence of mangroves and therewith their ability as coastal protection. It is therefore recommended to monitor the condition of the global mangrove forests more closely and to take action when mangrove vegetation is decreasing.
Though the existence of bound IG waves weakens the accuracy and reliability of these methods, they may be used to reconstruct the IG wave spectra with reasonable results. It is found that the EMEP outperforms the BDM and the IMLM since it yields accurate results with low sensitivity to noise in most cases. The BDM is reliable in moderate wave conditions, but would fail in case of high wave height or narrow directional spreading. The IMLM tends to produce less accurate results than the EMEP. The EMEP is recommended because of its overall reliability and low sensitivity.
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Though the existence of bound IG waves weakens the accuracy and reliability of these methods, they may be used to reconstruct the IG wave spectra with reasonable results. It is found that the EMEP outperforms the BDM and the IMLM since it yields accurate results with low sensitivity to noise in most cases. The BDM is reliable in moderate wave conditions, but would fail in case of high wave height or narrow directional spreading. The IMLM tends to produce less accurate results than the EMEP. The EMEP is recommended because of its overall reliability and low sensitivity.
of the IG wave field are neglected, though they play a critical role in IG wave variations. Various research focuses on IG wave dynamics in shallow waters, but a detailed understanding of IG wave variability in intermediate water depth is lacking. Furthermore, the directional spectra of bound and free IG waves in the field are usually unavailable since bound IG waves do not follow linear dispersion relations, which is assumed by commonly applied directional spectra reconstruction methods.
In-situ observation data (surface elevation, pressure, and velocity) of IG waves from November 2021 to April 2022 at three cross-shore locations in intermediate water depth (∼ 6 − 14 m) off the Dutch coast are analyzed to study generation, propagation, and directional properties of IG waves. The bispectral technique is applied to quantify the contribution of bound IG waves to the total IG wave field. A newly developed method is validated and used on the offshore (∼ 14 m) data to reconstruct directional spectra of bound and free IG waves separately during storms.
The results show that IG wave heights are best predicted (correlation coefficient R² up to 0.94) with an offshore forcing parameter that includes peak period HssTp2 , which indicates SS wave energy flux. The growth rate of IG waves is in between the shallow water equilibrium solution (for bound waves) and Green’s Law (for free waves), indicating the total IG wave field consists of bound and free components. The relative contribution of bound IG energy (up to 76%) is correlated to SS wave energy, whereas it decreases dramatically during intense storms when SS waves break. The bound IG waves that are assumed to follow the weakly nonlinear wave theory, have a similar peak direction and broader directional spreading to SS waves. In contrast, the directional spectra of free IG waves are nearly isotropic during calm conditions, but may have diverse peaks during storms, which incident IG waves from remote sources and edge waves can
influence. A better understanding of the complex pattern of free IG waves requires more detailed observations and/ or modeling.
...
of the IG wave field are neglected, though they play a critical role in IG wave variations. Various research focuses on IG wave dynamics in shallow waters, but a detailed understanding of IG wave variability in intermediate water depth is lacking. Furthermore, the directional spectra of bound and free IG waves in the field are usually unavailable since bound IG waves do not follow linear dispersion relations, which is assumed by commonly applied directional spectra reconstruction methods.
In-situ observation data (surface elevation, pressure, and velocity) of IG waves from November 2021 to April 2022 at three cross-shore locations in intermediate water depth (∼ 6 − 14 m) off the Dutch coast are analyzed to study generation, propagation, and directional properties of IG waves. The bispectral technique is applied to quantify the contribution of bound IG waves to the total IG wave field. A newly developed method is validated and used on the offshore (∼ 14 m) data to reconstruct directional spectra of bound and free IG waves separately during storms.
The results show that IG wave heights are best predicted (correlation coefficient R² up to 0.94) with an offshore forcing parameter that includes peak period HssTp2 , which indicates SS wave energy flux. The growth rate of IG waves is in between the shallow water equilibrium solution (for bound waves) and Green’s Law (for free waves), indicating the total IG wave field consists of bound and free components. The relative contribution of bound IG energy (up to 76%) is correlated to SS wave energy, whereas it decreases dramatically during intense storms when SS waves break. The bound IG waves that are assumed to follow the weakly nonlinear wave theory, have a similar peak direction and broader directional spreading to SS waves. In contrast, the directional spectra of free IG waves are nearly isotropic during calm conditions, but may have diverse peaks during storms, which incident IG waves from remote sources and edge waves can
influence. A better understanding of the complex pattern of free IG waves requires more detailed observations and/ or modeling.
Efficient and accurate modeling of wave-driven flooding on coral reef-lined coasts
On the interpolation of parameterized boundary conditions
These aforementioned effects already present a threat to small islands that are naturally fronted by coral reefs. However, there is one more threat of damage to these islands: resonance. The characteristic bathymetry of the coral reefs can induce this type of threat, which is likely to be enhanced through climate change. Fringing reefs can display harbour-like resonance under the right conditions, because of their generally steep fore reefs and shallow horizontal reef flats. This has been shown to occur during various occasions, but the conditions that lead to are still unclear. What drives the occurrence and magnitude of resonance?
Resonance has been observed during high-energy events on various pacific islands, and though it occurs only 3.6% of the time, its damaging potential is larger than any other form of infragravity (IG) wave propagation. Various numerical models have been set up to study the behaviour and drivers of resonance, yet the defining characteristics and drivers of the phenomenon remain enigmatic.
To get a better understanding of the parameters that influence the occurrence and magnitude of resonance in fringing reef environments, a SWASH model is used. The amplification of the incoming IG wave is determined
by comparing the incoming IG wave energy at the beach toe for a beach boundary to an absorbing sponge layer boundary. If the ratio of incoming IG energy is greater than unity, resonance is expected to occur.
The magnitude of the AR is largely dependent on the characteristics of the incoming SS wave field and coral reef bathymetry: a great modulation and a gentle fore reef slope lead to a large amplification. Additionally, a lot of incoming SS wave energy corresponds to a limited amplification of the incoming IG wave, likely due to the interaction of the released bound long wave and the IG wave generated through break point forcing, which are 180° out of phase. Therefore, the largest amplification occurs for a strongly modulated wave field without being too energetic. There is no clear relationship between the incoming SS wave periods and the amplification, the height of the incoming IG wave is similar for various situations. The amplification appears to depend on the combination of the fore reef slope and incoming SS wave periods. Different SS wave periods
lead to different amplifications depending on the slope of the fore reef they pass over. The height of the incoming IG wave is largest for the steepest slopes under consideration. Thus, for these conditions, the risk of flooding is largest. However, the greatest amplification occurs for the gentler slopes
under the considered conditions. It should be noted that this relationship is heavily dependent on the combination of incoming SS periods and the steepness of the fore reef slopes.
The period for which resonance occurs is always higher than the theoretical fundamental eigenperiod, which is found through water depth integration from the location of minimum IG wave height to the beach toe. Integrating the water depth from the most offshore point of break point forcing leads to a smaller deviation of the theoretical fundamental eigenperiod from the observed period, yet this method needs further exploration.
The insights acquired by this research can be used as a base for site-specific modelling, which can provide circumstances under which certain areas are at risk of flooding due to IG wave resonance. ...
These aforementioned effects already present a threat to small islands that are naturally fronted by coral reefs. However, there is one more threat of damage to these islands: resonance. The characteristic bathymetry of the coral reefs can induce this type of threat, which is likely to be enhanced through climate change. Fringing reefs can display harbour-like resonance under the right conditions, because of their generally steep fore reefs and shallow horizontal reef flats. This has been shown to occur during various occasions, but the conditions that lead to are still unclear. What drives the occurrence and magnitude of resonance?
Resonance has been observed during high-energy events on various pacific islands, and though it occurs only 3.6% of the time, its damaging potential is larger than any other form of infragravity (IG) wave propagation. Various numerical models have been set up to study the behaviour and drivers of resonance, yet the defining characteristics and drivers of the phenomenon remain enigmatic.
To get a better understanding of the parameters that influence the occurrence and magnitude of resonance in fringing reef environments, a SWASH model is used. The amplification of the incoming IG wave is determined
by comparing the incoming IG wave energy at the beach toe for a beach boundary to an absorbing sponge layer boundary. If the ratio of incoming IG energy is greater than unity, resonance is expected to occur.
The magnitude of the AR is largely dependent on the characteristics of the incoming SS wave field and coral reef bathymetry: a great modulation and a gentle fore reef slope lead to a large amplification. Additionally, a lot of incoming SS wave energy corresponds to a limited amplification of the incoming IG wave, likely due to the interaction of the released bound long wave and the IG wave generated through break point forcing, which are 180° out of phase. Therefore, the largest amplification occurs for a strongly modulated wave field without being too energetic. There is no clear relationship between the incoming SS wave periods and the amplification, the height of the incoming IG wave is similar for various situations. The amplification appears to depend on the combination of the fore reef slope and incoming SS wave periods. Different SS wave periods
lead to different amplifications depending on the slope of the fore reef they pass over. The height of the incoming IG wave is largest for the steepest slopes under consideration. Thus, for these conditions, the risk of flooding is largest. However, the greatest amplification occurs for the gentler slopes
under the considered conditions. It should be noted that this relationship is heavily dependent on the combination of incoming SS periods and the steepness of the fore reef slopes.
The period for which resonance occurs is always higher than the theoretical fundamental eigenperiod, which is found through water depth integration from the location of minimum IG wave height to the beach toe. Integrating the water depth from the most offshore point of break point forcing leads to a smaller deviation of the theoretical fundamental eigenperiod from the observed period, yet this method needs further exploration.
The insights acquired by this research can be used as a base for site-specific modelling, which can provide circumstances under which certain areas are at risk of flooding due to IG wave resonance.
Infragravity waves on the North Sea
Generation, propagation and dissipation mechanisms
A beach vulnerability study at Copacabana beach, Rio de Janeiro
A study into the historic, present and future morphodynamic behavior of the beach focused on the impact of storm events and subsequent recovery
Wave dissipation on a complex coral reef
An experimental study
For this master thesis, an experimental study was performed in the wave flume of the Fluid Mechanics Laboratory of the Technical University of Delft, investigating dissipation rates due to complex corals. 384 corals were reproduced and exposed to 21 different wave conditions. It was found that the presence of corals significantly enhanced dissipation rates. Shallower water depths, higher wave frequencies, and higher wave heights positively influenced the dissipation rates due to the corals. By increasing the amount of corals in flumewise direction and over the cross section, rates also increased.
Lowe et al. (2005b) and Lowe et al. (2007) developed a canopy model that is able to estimate in-canopy flow velocities and dissipation rates due to coral canopies. In the final part of this thesis, this canopy model was assessed and its output was compared with the experimental results. In general, the model predictions were in good agreement with the experimental results.
The research presented in this thesis is a contribution to the understanding of hydrodynamic processes around coral reefs. The good performance of the analytical model of Lowe et al. (2005b) and Lowe et al. (2007) can be of value for quantifying risks atolls and coral reef islands will face in the coming decades. The model can also be used to estimate the impact of coral restoration projects, when coastal protection is of the essence.
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For this master thesis, an experimental study was performed in the wave flume of the Fluid Mechanics Laboratory of the Technical University of Delft, investigating dissipation rates due to complex corals. 384 corals were reproduced and exposed to 21 different wave conditions. It was found that the presence of corals significantly enhanced dissipation rates. Shallower water depths, higher wave frequencies, and higher wave heights positively influenced the dissipation rates due to the corals. By increasing the amount of corals in flumewise direction and over the cross section, rates also increased.
Lowe et al. (2005b) and Lowe et al. (2007) developed a canopy model that is able to estimate in-canopy flow velocities and dissipation rates due to coral canopies. In the final part of this thesis, this canopy model was assessed and its output was compared with the experimental results. In general, the model predictions were in good agreement with the experimental results.
The research presented in this thesis is a contribution to the understanding of hydrodynamic processes around coral reefs. The good performance of the analytical model of Lowe et al. (2005b) and Lowe et al. (2007) can be of value for quantifying risks atolls and coral reef islands will face in the coming decades. The model can also be used to estimate the impact of coral restoration projects, when coastal protection is of the essence.