BED, BANK & SHORE PROTECTION

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Example A dike with concrete block revetment, slopes 1:3 and a 2 m berm at design level is attacked by perpendicular (swell) waves with Hs = 1 m and a steepness of 0.01. What is the wave run-up? run up? H S = 1 Wave Slope = 0.01 1:3 Ru ? 1:3 2m
γ B 2 ⎛ ⎡ ⎤ ⎞ B B B h = 1− ⎜1−0.5 ⎟ L ⎜ ⎢ ⎥ B H ⎟ ⎝ ⎣ s⎦⎠ solution Starting point is equation for run-up run up irregular wave R u2%. u2% . R = 1.5 γ γ γ γ H ξ ( R = 3 H ) u2% r β B f s p u 2% max s γγ r = 0.9 γγ ββ = 1 and γγ f = 1 hB = 0 LB = 2Hs 2Hscot cotαα + 2 = 8 m hence, γγ B = 0.75 The surf similarity parameter is tanαα/0.1 tan /0.1 = 3.33 > 2, hence ξ = 2. 2. The wave run-up, run up, finally, is then: Ru2% u2% = 1.5*0.9*0.75*1*2 ≅ 2m above the design level.
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BED, BANK & SHORE PROTECTION

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