D-R-A-F-T
⎞
⎛ C oVse ⎞ Vse ' c' ⎛
τ
α1C + α 2 = -⎜
⎟
⎜1 -
⎟
⎟
H ⎠ D' ⎜ τ d
⎝
⎠
⎝
This dimensional grouping for clay deposition can now be ratioed to the other terms.
(Clay deposition/storage). The clay deposition to storage ratio is
Equation 48
⎛ C o ⎞ ⎛ V se ∆ t ⎞
⎛ C oV se ⎞
⎟ = Cv
⎟=⎜
⎜
⎟
⎜
⎝ ∆t ⎠ ⎝ H ⎠
⎝ H ⎠
This Courant number is essentially the same as for the sand deposition if the term Lde
for the sand is taken as 1.0.
(Clay deposition/convection). The ratio of clay deposition to convection is
Equation 49
⎛ C oV ⎞ ⎛ V se L ⎞ C v
⎛ C oV se ⎞
⎟=
⎟=⎜
⎜
⎟
⎜
⎝ H ⎠
⎝ L ⎠ ⎝ VH ⎠ C n
(Clay deposition/diffusion). The ratio of clay deposition to diffusion is
Equation 50
⎛ C oV se ⎞ ⎛ C o D r ⎞ ⎛ V se L
⎞ Cv
2
⎟=⎜
⎟=
⎟ ⎜
⎜
⎟ C Pe
⎝ H ⎠ ⎝ L ⎠ ⎜ Dr H
2
⎝
⎠
n
Clay Particle Erosion
The clay particle erosion in SED2D is represented as
Equation 51
E⎛τ
⎞
α 1C + α 2 =
⎜ - 1⎟
D ⎜τe
⎟
⎝
⎠
where:
erosion rate constant, kg/(m2 sec)
E
critical shear stress for erosion, N-m/sec2
τe
The erosion rate constant must be scaled in a manner that reflect the
E = E0 E'
As before this source-sink term can be scaled as
Equation 52
Advanced Techniques 49
Users Guide To SED2D-WES