- 14: data analysis, Site marshall, Mon 10-May-2004 14:08:27 MDT, current results
Marshall results to date, 5/1/2004 8:45 - 5/10/2004 12:45
linear fits of data from horizontal array sonics to reference sonics
wind speed (5 min averages):
spd.u2.5.27m = 0.980 spd.u1.5.27m + 0.02 m/s nmr = 0.056
spd.u3.5.27m = 0.974 spd.u1.5.27m + 0.03 m/s nmr = 0.059
spd.u4.5.27m = 0.984 spd.u1.5.27m + 0.03 m/s nmr = 0.057
spd.l2.4.75m = 0.996 spd.l1.4.75m - 0.00 m/s nmr = 0.063
spd.l3.4.75m = 0.986 spd.l1.4.75m + 0.01 m/s nmr = 0.059
spd.l4.4.75m = 0.988 spd.l1.4.75m + 0.00 m/s nmr = 0.059
turbulent kinetic energy (5 min averages):
tke.u2.5.27m = 1.00 tke.u1.5.27m - 0.001 m2/s2 nmr = 0.073
tke.u3.5.27m = 0.983 tke.u1.5.27m + 0.001 m2/s2 nmr = 0.075
tke.u4.5.27m = 0.999 tke.u1.5.27m - 0.001 m2/s2 nmr = 0.076
tke.l2.4.75m = 1.01 tke.l1.4.75m - 0.002 m2/s2 nmr = 0.075
tke.l3.4.75m = 1.01 tke.l1.4.75m - 0.002 m2/s2 nmr = 0.077
tke.l4.4.75m = 1.01 tke.l1.4.75m - 0.002 m2/s2 nmr = 0.078
friction velocity (30 min averages):
u*.u2.5.27m = 1.03 u*.u1.5.27m + 0.01 m/s nmr = 0.231
u*.u3.5.27m = 1.02 u*.u1.5.27m + 0.01 m/s nmr = 0.224
u*.u4.5.27m = 1.02 u*.u1.5.27m + 0.01 m/s nmr = 0.225
u*.l2.4.75m = 1.02 u*.l1.4.75m + 0.001 m/s nmr = 0.221
u*.l3.4.75m = 0.965 u*.l1.4.75m + 0.005 m/s nmr = 0.300
u*.l4.4.75m = 0.962 u*.l1.4.75m + 0.00k m/s nmr = 0.229
nmr = mean absolute deviation from linear fit/
standard deviation of data
For comparison, here are the same data for the fourth HATS configuration;
sonic spacing = 50 cm for d array, 62.5 cm for the s array, vertical
spacing = 1 m.
Speed (30 min averages) nmr
d1.4m spd = 0.994 spd.0.4m + 0.02 m/s 0.045
d2.4m spd = 0.980 spd.0.4m + 0.05 m/s 0.057
d3.4m spd = 0.995 spd.0.4m - 0.00 m/s 0.038
d4.4m spd = 0.991 spd.0.4m - 0.00 m/s 0.044
d5.4m spd = 0.993 spd.0.4m + 0.08 m/s 0.050
d6.4m spd = 0.998 spd.0.4m + 0.03 m/s 0.051
d7.4m spd = 0.992 spd.0.4m + 0.03 m/s 0.037
d8.4m spd = 0.984 spd.0.4m + 0.01 m/s 0.055
d9.4m spd = 0.985 spd.0.4m + 0.04 m/s 0.053
s1.5m spd = 0.982 spd.0.5m + 0.05 m/s 0.053
s2.5m spd = 0.989 spd.0.5m + 0.08 m/s 0.040
s3.5m spd = 0.995 spd.0.5m + 0.06 m/s 0.048
s4.5m spd = 0.996 spd.0.5m + 0.05 m/s 0.039
s5.5m spd = 0.982 spd.0.5m + 0.08 m/s 0.047
Turbulent kinetic emergy (30 min averages):
d1.4m tke = 0.972 tke.0.4m + 0.020 m2/s2 0.072
d2.4m tke = 0.967 tke.0.4m + 0.047 m2/s2 0.071
d3.4m tke = 0.973 tke.0.4m - 0.044 m2/s2 0.071
d4.4m tke = 0.972 tke.0.4m - 0.003 m2/s2 0.069
d5.4m tke = 0.984 tke.0.4m + 0.079 m2/s2 0.067
d6.4m tke = 0.979 tke.0.4m + 0.028 m2/s2 0.065
d7.4m tke = 0.971 tke.0.4m + 0.033 m2/s2 0.063
d8.4m tke = 0.972 tke.0.4m + 0.013 m2/s2 0.061
d9.4m tke = 0.973 tke.0.4m + 0.039 m2/s2 0.059
s1.5m tke = 0.974 tke.0.5m + 2.5e-4 m2/s2 0.067
s2.5m tke = 0.986 tke.0.5m + 1.5e-4 m2/s2 0.062
s3.5m tke = 1.000 tke.0.5m + 0.8e-4 m2/s2 0.061
s4.5m tke = 1.000 tke.0.5m + 0.6e-4 m2/s2 0.060
s5.5m tke = 0.989 tke.0.5m - 0.2e-4 m2/s2 0.057
Friction velocity (30 min averages):
d1.4m u* = 1.014 u*.0.4m + 0.001 m/s 0.156
d2.4m u* = 1.003 u*.0.4m - 0.001 m/s 0.183
d3.4m u* = 1.000 u*.0.4m + 0.000 m/s 0.169
d4.4m u* = 0.993 u*.0.4m - 0.000 m/s 0.173
d5.4m u* = 0.996 u*.0.4m + 0.001 m/s 0.179
d6.4m u* = 0.990 u*.0.4m + 0.001 m/s 0.180
d7.4m u* = 0.993 u*.0.4m + 0.001 m/s 0.161
d8.4m u* = 0.989 u*.0.4m + 0.002 m/s 0.170
d9.4m u* = 1.002 u*.0.4m + 0.001 m/s 0.171
s1.5m u* = 0.990 u*.0.5m + 0.001 m/s 0.223
s2.5m u* = 1.004 u*.0.5m + 0.002 m/s 0.216
s3.5m u* = 0.988 u*.0.5m + 0.002 m/s 0.220
s4.5m u* = 1.021 u*.0.5m + 0.002 m/s 0.215
s5.5m u* = 1.015 u*.0.5m + 0.001 m/s 0.210
- 15: data analysis, Site marshall, Wed 12-May-2004 09:23:22 MDT, height error analysis
What is error in wind speed due to a height difference between the
reference sonic and the horizontal array?
U = (u*/k)*ln(z/zo)
dU/dz = u*/kz = U/(z*ln(z/zo))
dU/U = dz/(z*ln(z/zo))
= (1 cm/500 cm)/ln(500/3) = 0.04% per cm height error
= 0.1% per inch height error
Thus a 1% error in U requires a 10 inch height error
- 17: data analysis, Site marshall, Mon 17-May-2004 09:46:51 MDT, Final results
Final Marshall results, 5/1/2004 8:45 - 5/12/2004 13:45
linear fits of data from horizontal array sonics to reference sonics
wind speed (942 5-min averages):
spd.u2.5.27m = 0.987 spd.u1.5.27m + 0.00 m/s nmr = 0.042
spd.u3.5.27m = 0.983 spd.u1.5.27m + 0.01 m/s nmr = 0.044
spd.u4.5.27m = 0.988 spd.u1.5.27m + 0.03 m/s nmr = 0.043
spd.l2.4.75m = 0.994 spd.l1.4.75m + 0.00 m/s nmr = 0.045
spd.l3.4.75m = 0.992 spd.l1.4.75m - 0.01 m/s nmr = 0.044
spd.l4.4.75m = 0.984 spd.l1.4.75m + 0.01 m/s nmr = 0.044
turbulent kinetic energy (942 5-min averages; TKE < 5 m^2/s^2):
tke.u2.5.27m = 0.984 tke.u1.5.27m + 0.001 m2/s2 nmr = 0.069
tke.u3.5.27m = 0.978 tke.u1.5.27m + 0.002 m2/s2 nmr = 0.070
tke.u4.5.27m = 0.993 tke.u1.5.27m + 0.001 m2/s2 nmr = 0.071
tke.l2.4.75m = 0.994 tke.l1.4.75m + 0.000 m2/s2 nmr = 0.072
tke.l3.4.75m = 0.995 tke.l1.4.75m + 0.000 m2/s2 nmr = 0.073
tke.l4.4.75m = 0.984 tke.l1.4.75m + 0.000 m2/s2 nmr = 0.074
friction velocity (359 15 min averages):
u*.u2.5.27m = 0.999 u*.u1.5.27m + 0.01 m/s nmr = 0.202
u*.u3.5.27m = 0.995 u*.u1.5.27m + 0.01 m/s nmr = 0.209
u*.u4.5.27m = 0.965 u*.u1.5.27m + 0.01 m/s nmr = 0.215
u*.l2.4.75m = 1.01 u*.l1.4.75m + 0.01 m/s nmr = 0.204
u*.l3.4.75m = 0.986 u*.l1.4.75m + 0.01 m/s nmr = 0.222
u*.l4.4.75m = 0.960 u*.l1.4.75m + 0.01 m/s nmr = 0.208
nmr = mean absolute deviation from linear fit/
standard deviation of data