Sand particles as the subject of sedimentation treatment in a sand basin are flown in the form of bed load when the flow in the sedimentation ditches is a normal flow, and shifted sediments are deposited from the inlet of the sedimentation ditches forming sediment terrace, and fine sand particles that could not be deposited at this terrace are deposited by flowing down tractionally along the bottom of the sedimentation ditch from the end of front slope of the terrace forming thin deposition layers. In this case, even when the finest particles at the limit of deposition are flown in the form of suspended load, they will, after precipitating onto the bottom of the sedimentation ditch, be made to flow down tractionally on the surface of deposited sand, until the critical tractive force of particles and the tractive force in the sedimentation ditch are brought into equlibrium.
Denoting the water depth above the deposition surface by
h, the width by
B, the hydraulic mean depth by
R, the mean velocity by
U, the bottom slope of ditch by
i, and the density of water by ρ, the tractive force at an arbitrary cross section of sedimentation of sedimentation ditch having a uniform rectangular cross section can be expressed by _??_Eq.(3)
Taking the discharge of ditch per sec at
Q and the critical tractive force of smallest particles of limit deposition at τ
c, we put
k=τ
c/(ρ
i) in a cross section where τ becomes equal to τ
c, and the velocity fluctuation coefficient in the ditch is considered to be α, then Eq.(3) is rewritten as
_??_Eq.(5)
Therefore, putting the thickness of sedimentation layer whose cross section becomes τ=τ
c when the allowable amount of deposited sediments is reached at
D, the depth
H of the sedimentation ditch in this cross section is expressed by
H=h+D, so that the cross sectional dimension of an optimum ditch for topography of construction site of the sand basin can be determined from Eq.(4) or Eq.(5).
Although it is not easy to determine the length of ditch precisely, if the position at which the sedimentation of smallest particles at the deposition limit has been finished when reaching the allowable amount of deposited sediments, is made to be about 10 times the height of the front from the sediment terrace, then by investgating some other few methods, it is possible to determine an appropriate length of the sedimentation ditch.
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