Trial Hydraulic Equations Fitted
in 2007 Using Simulated Annealing
UNDER
CONSTRUCTION
Some equation variables used:
 Q = measured breach flow, cfs or ft^{3}/s
 Q(hat) = calculated breach flow, estimate of Q, cfs or ft^{3}/s
 b = bottom width of gap in plywood breach, ft
 g = acceleration of gravity, 32.174 ft/s^{2}
 he = height above the verge of the breach (b) of water upstream,
ft
 hh = depth of headcut below verge of breach (at b), ft
 hu = depth of upstream flow bed below verge of breach (at
b), ft
 ms = slope of the side of the trapezoidal breach cut, horizontal
to vertical, dimensionless
 mu = slope of the upstream side of the plywood dam, H:V,
dimensionless
 C_{#} or D_{#} = equation parameters (coefficients),
mostly dimensionless
 r = ratio of heads or areas, dimensionless
 w = weighting function between two forms of estimated flow,
usually w(r), dimensionless
 np = number of points (measurements) of Q, b, he, hh, hu,
mu, ms in data set

Some trial equations used:
, mean relative error
, with
 Q(hat) = calculated breach flow, cfs or ft^{3}/s
 b = bottom width of gap in plywood breach, ft
 g = acceleration of gravity, 32.174 ft/s^{2
}

 he = height above the verge of the breach (b) of water upstream,
ft
 hh = depth of headcut below verge of breach (b), ft
 ms = slope of the side of the trapezoidal breach cut, horizontal
to vertical, dimensionless
 mu = slope of the upstream side of the plywood dam, H:V,
dimensionless
 D_{1} = 0.46342, D_{2} = 0.32459, D_{3}
= 0.16306, D_{4} = 0.51441, D_{5} = 8.6838,
 D_{6} = 0.10813, D_{7} = 0.73077, D_{8}
= 0.50789, D_{9} = 2.5213, D_{10} = 0.38428
 mean absolute error = 0.08304 CFS
 standard deviation of absolute error = 0.13877 CFS
 mean relative error = 4.91%, std dev of relative error =
5.94%
 Calculated in Fortran simulated annealing program, simanh9.for,
with input data file, weirdat3.prn
 Plotted results in Lotus 123 file, jn1107a.123:
Qh = calculated flow, cfs
June
11 to *, 2007  Testing new equations based on fitting
segmented curves to weighting function.
Consider FITD6:
MORE
TO COME
 This page was designed by Donald
L. Baker copyright © 2007