3/3/99
10/28/99
1/16/00
50
200
200
40
150
150
30
100
100
20
50
50
10
0
0
0
0
0.1
0.2
0.3
0
0.1
0.2
0.3
0
0.1
0.2
0.3
Frequency (Hz)
11/24/98
2/16/99
2/24/99
250
200
400
200
150
300
150
100
200
100
50
100
50
0
0
0
0
0.1
0.2
0.3
0
0.1
0.2
0.3
0
0.1
0.2
0.3
Frequency (Hz)
12/2/87
12/1/96
1/17/98
200
200
250
150
200
150
150
100
100
100
50
50
50
0
0
0
0
0.1
0.2
0.3
0
0.1
0.2
0.3
0
0.1
0.2
0.3
Frequency (Hz)
Figure A5.
Nine of 10 most extreme spectra measured at Grays Harbor CDIP
buoy between 1982-2000. Note: blue line shows measured
spectrum, yellow line is a JONSWAP spectrum with γ = 1.5 and
magenta line is a JONSWAP spectrum with γ = 3.3
Application of Existing Design Equations for
Structure Stability
Several studies have investigated rock stability for low-crested and
submerged rubble-mound structures (e.g., van der Meer 1988, van der Meer and
Pilarczyk 1990; Givler and Srenson 1986; Vidal et al. 1992; Vidal, Losada, and
Mansard 1995; Vidal, Medina, and Martin 2000; Rufin et al. 1994, 1996). Van
der Meer (1988) describes of relevant fundamental parameters for inclusion in
formulas for design of rubble-mound breakwaters and revetments: These include:
side slope of the breakwater or revetment, significant wave height, Hs deepwater
wave steepness, 2πHs/gTp2, wavelength, Lo, or period, permeability, P, damage
criterion, S, storm duration, often defined in terms of the number of waves, and
median mass of armor stones, M50. According to van der Meer (1988), S =
Ae/Dn50 where Ae is the area of cross-section eroded, as calculated from damaged
and undamaged profiles, and Dn50 is the nominal median armor stone diameter.
The onset of damage is generally taken as between 1 and 3. The damage
criterion, S, represents the number of stones of a nominal diameter, Dn, which are
A6
Appendix A
Stability Analysis of a Submerged Spur, North Jetty, Grays Harbor, WA