Trial Hydraulic Equations Fitted in 2007 Using Simulated Annealing UNDER CONSTRUCTION

#### Some equation variables used:

Q = measured breach flow, cfs or ft3/s
Q(hat) = calculated breach flow, estimate of Q, cfs or ft3/s
b = bottom width of gap in plywood breach, ft
g = acceleration of gravity, 32.174 ft/s2
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 ft3/s
b = bottom width of gap in plywood breach, ft
g = acceleration of gravity, 32.174 ft/s2
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
D1 = 0.46342, D2 = 0.32459, D3 = -0.16306, D4 = 0.51441, D5 = 8.6838,
D6 = -0.10813, D7 = 0.73077, D8 = 0.50789, D9 = 2.5213, D10 = 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 1-2-3 file, jn1107a.123:

Qh = calculated flow, cfs

June 11 to *, 2007 -- Testing new equations based on fitting segmented curves to weighting function.

Consider FITD6:

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