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

26 juni 2015

DgFlow interface

Piping module

Finite element model

26 juni 2015

equilibrium condition

tan3

s lc

dpa gd

dx

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

Application

26 juni 2015

WTI 2017 research

Model validation

26 juni 2015

WTI 2017 research

Model validation

26 juni 2015

Future work

26 juni 2015

Integrating Dam, coupling Modflow and Delft3D

Modeling piping under dikes and dams

26 juni 2015

Questions?

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

Deformation module

26 juni 2015

flow flow - deformation