Extension of shallow water rock armour stability formulae to nonlinear waves

Eldrup, Mads Røge; Andersen, Thomas Lykke

doi:10.1016/j.coastaleng.2019.103536

Cited by 7 publications

(6 citation statements)

References 18 publications

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“…The data from both authors are mainly within the confidence band of the VdM formula, validating the above given assumption. It is also clear that there are quite some original data points as well as data from Eldrup (2019) that have smaller wave steepness's than 0.01 (right from the red line). They are scientifically interesting, but not with respect to design.…”

Section: Discussionmentioning

confidence: 97%

“…The main objective is then: when and where do shallow water stability results deviate from the known stability formulae and how can we describe the deviating results. The original dataset by Van Gent (2004) and additional tests by Eldrup (2019) as well as other data have been analysed in depth to come to an improved understanding of rock slope stability in shallow water.…”

Section: Objectivementioning

confidence: 99%

See 1 more Smart Citation

The Van Der Meer Formula for Rock Slope Stability at Shallow Water

Meer,

Andersen,

Eldrup

2023

Int. Conf. Coastal. Eng.

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In Van der Meer (2021) the stability formula for rock slopes under wave attack has been rewritten to remove the mean period Tm and to include the spectral period Tm-1,0. This formula is now identical to the Modified Van der Meer formula in the Rock Manual (2007 – Eqs 5.139 and 5.140), except for its coefficients and the use of H2 percent in the Rock Manual and H1/3 in Van der Meer (2021). A method has been given in Van der Meer (2021) by coefficients cpl and csu in the rewritten formula, to include (new) data on rock slope stability where results differ from the original formula and data. The re-fit of the shallow water data by Van Gent (2004) leading to the Modified Van der Meer formula for shallow water comes now to cpl=0.92 and csu=0.96, showing that rock slopes are less stable in shallow water than in deep water (coefficients smaller than 1 show less stability). The main objective is then: when and where do shallow water stability results deviate from the known stability formulae and how can we describe the deviating results. The original dataset by Van Gent (2004) and additional tests by Eldrup (2019) as well as other data have been analysed in depth to come to an improved understanding of rock slope stability in shallow water.

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Section: Discussionmentioning

confidence: 97%

Section: Objectivementioning

confidence: 99%

The Van Der Meer Formula for Rock Slope Stability at Shallow Water

Meer,

Andersen,

Eldrup

2023

Int. Conf. Coastal. Eng.

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“…These hard engineering structures need to control stability, in particular for highly nonlinear waves in shallow water. Such waves are characterized by a high and narrow crest and a wide wave trough [48]. A sea wall, also called a breakwater, consists of large walls constructed from concrete, steel, or stone located along the shoreline of the beach (Table 1).…”

Section: Engineering Approaches For Coastal Protectionmentioning

confidence: 99%

“…The method absorbs the energy of waves and helps build up beaches This intervention is expensive to implement and maintain [48] Sea wall…”

Section: This Approach Prevents Cliff Erosion As It Absorbs the Waves...mentioning

confidence: 99%

Monitoring of Coastal Areas by Remote Sensing and Engineering Approaches

Pepi¹

2023

Current Trends in Eng Sc

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Monitoring coastal regions is very important to protect the marine environment as a whole. Coastal erosion, sea level rise, coastal changes, flooding, and harmful algal blooms, are examples of challenges in coastal areas resulting from climate change. Furthermore, pollution from oil spills and agricultural activities that release large quantities of agrochemicals, organic matter, drug residues, sediments and saline drainage into coastal waters are further examples of coastal challenges and criticalities. All of these challenges require a high level of attention. Coastal monitoring through remote sensing approaches and possible models capable of predicting future developments can represent valid tools available to policymakers to develop interventions. Hard and soft engineering interventions can counteract the effects of coastal erosion, wave action, shoreline and flooding, thus restoring coasts and all associated activities. This mini-review describes remote sensing approaches for coastal monitoring, such as the use of unmanned aircraft, and possible hard and soft engineering interventions capable of mitigating coastal damage according to sustainability rules.

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“…Rock reinforcements are rigid engineering structures whose stability must be controlled. In particular, a control is required in the presence of high, non-linear waves which can damage such structures [103]. Sea walls, also called breakwaters, are hard engineering devices consisting of large walls placed along the shoreline of the coast and built in concrete, steel or stone (Table 2).…”

Section: Hard Engineering Interventions At Coastsmentioning

confidence: 99%

Coastal Monitoring and Coastal Erosion: Engineering Interventions for Coastal Protection and Considerations on the Mediterranean Sea

Focardi,

Pepi

2023

Preprint

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Coasts are characterized by high biological and ecological productivities, and are theatre of strategic economic activities, including tourism, fishing and aquaculture. Both anthropic and natural hazards can thus affect coasts, causing their deterioration. The monitoring of coasts in terms of evolution, adaptation, contamination and resilience, is a pivotal point composed of both classic measurement approaches, and innovative approaches as remote sensing and the use of unmanned aerial vehicles. In the last years, climate change is increasing its effects all over the world and coasts are a delicate system suffering these effects particularly. Climate change has important impacts on coasts, with a serious consequence represented by sea level rise. The latter causes coastal erosion, leading to ecological and economic issues and with consequences for human health. The Mediterranean Basin, which has always represented an important crossroads of different civilizations and economic and cultural exchanges, is now threatened by the consequences of climate change. This area is decribed as an example of coastal system of strategic importance and subjected to serious challenges. Engineering interventions are countermeasures to cope with coastal erosion and coastal degradation. These countermeasures are aimed at protecting the coasts and the populations living on the coasts. The types of intervention can be defined of hard engineering, as in the case of fixed structures in concrete, and of soft engineering, with structures of protection builted according to the principles of nature. Engineering procedures provide coastal benefits, although they can cause further coastal damage. It is thus necessary to protect the coasts and the same time actions aimed at mitigating climate change must be implemented, according to the rules of sustainability.

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Extension of shallow water rock armour stability formulae to nonlinear waves

Cited by 7 publications

References 18 publications

The Van Der Meer Formula for Rock Slope Stability at Shallow Water

The Van Der Meer Formula for Rock Slope Stability at Shallow Water

Monitoring of Coastal Areas by Remote Sensing and Engineering Approaches

Coastal Monitoring and Coastal Erosion: Engineering Interventions for Coastal Protection and Considerations on the Mediterranean Sea

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