Design of Coastal Amor and Beach Nourishment Profile

Part 1. (Wave run-up)

• A wave has the height of 5 meters and the period of 8 seconds, what should be the minimum slope of the face of the sea wall to ensure the breaking when the wave runs up?
• At the above-calculated minimum surface slope and with the smooth concrete surface, what would be the vertical distance of the breaking wave run-up above the mean sea level?
• If the seawall surface is made of two layers of rock armor, what would be the vertical distance of the breaking wave run-up?

Part 2. (Armor slope stability)

For the wave in Part 1 above, what should be the median weight of the rock for the surface armor layer and the underlayer of the seawall, respectively, to ensure the stability (no initial damage)?

Part 3. (Beach Nourishment Equilibrium Beach Profiles)

The equilibrium beach profile can be quantified as:

h(y) = Ay2/3

where h(y) is the depth of the beach profile, y is the distance offshore, and A is a parameter related to sediment settling velocity. Calculate and plot the equilibrium beach profile for sediment particle sizes D = 0.1 mm, 0.25 mm and 0.4 mm out to a water depth of 8 meters.

This is everything given.