EM 1110-2-1100 (Part II)
30 Apr 02
II-8-9. Definitions of Symbols
σ
Standard deviation
Standard deviation of maximum monthly wind speeds [length/time]
σm
σrm
Standard deviation of the sampling error in estimating Ur (Equation II-8-4)
[length/time]
d
Water depth [length]
Probability that the mth highest data value will not be exceeded (Figure II-8-5)
F
f(x)
Probability distribution function
G
Skew coefficient in the Pearson Type III distribution function (Figure II-8-2)
[dimensionless]
s
Design significant wave height [length]
H1/3
Significant wave height [length]
k
Parameter in the Weibull distribution function (Figure II-8-5) [dimensionless]
k
Skew of ln x corrected for bias in the Log Pearson Type III distribution function
(Figure II-8-2) [dimensionless]
L
Desired time period used in the encounter probability formula (Equation II-8-2)
[years]
m
Rank of data value in descending order (= 1 for largest) in distribution function
formulas (Figure II-8-5)
N
Number of events
Number of months of data used in computing the standard deviation of the
Nm
sampling error in estimating Ur (Equation II-8-4)
-O
The subscript 0 denotes deepwater conditions
P ( s)
Cumulative probability that Hs # s
Pe
Encounter probability (Equation II-8-2)
t
Time interval associated with each data point [years]
Tp
Design wave period [time]
Tr
Return period (Equation II-8-1) [years]
&m
U
Mean value of maximum monthly wind speeds [length/time]
Ur
Wind speed with r-year return period (Equation II-8-3) [length/time]
Hydrodynamic Analysis and Design Conditions
II-8-61