Post on 05-Aug-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