Wednesday June 10th Modeling piping under dikes and dams Groundwater flow simulator DgFlow John van Esch
Aug 05, 2015
Wednesday June 10th
Modeling piping under dikes and dams
Groundwater flow simulator DgFlow
John van Esch
26 juni 2015
DgFlow simulator
Processes
• Saturated and unsaturated groundwater flow
• Elasto – (plastic) deformations of the soil
• Heat transport
• Piping
Piping module
Sellmeijers rule
26 juni 2015
,c r s gH F F F L
703 2.8
0.24tan , , 0.91 , .
1
s l
r s gl
d DF F FLL D
L
Piping module
Groundwater flow
conservation of mass + Darcy’s law
Van Genuchten material model
boundary conditions
26 juni 2015
0, onr ij pli
i jli j
kqp p pdSn S n q gt t x xdp
1 if , form
ng
g pr s r a a s a
gS S S S g S S
2
1/1 1 ,m
l m
ggg r
r e e es r
S Sk S S SS S
1 2 3on , on , onp p p
i i i ip p q n q q n s
Piping module
Pipe flow
conservation of mass + Poiseuille flow
equilibrium condition
boundary condition
26 juni 2015
30, on
12cdq dpas q
dx dx
70tan
3s ldp
a gddx
1on cp p
Piping module
26 juni 2015
Grain equilibrium
shear stress equilibrium condition
tan6
s lc cg d
2dpadx
tan3
s lc
dpa gd
dx