TY - JOUR
T1 - Riesenkampf's vortex solution revisited for 2-D commingling of groundwater in a three-layered aquifer: Vertical-inclined-horizontal seepage in aquitard
T2 - Vertical-inclined-horizontal seepage in aquitard
AU - Kacimov, A. R.
AU - Al-Maktoumi, A.
N1 - Publisher Copyright:
© 2018 Elsevier Ltd
PY - 2019/1/1
Y1 - 2019/1/1
N2 - Using exact and explicit analytical solutions and MODFLOW simulations we
show that downstream of an unconformity (transition from an aquifuge
layer to a homogeneous aquitard) groundwater seeps at varying angles
with respect to the layering. As a generalization of the Anderson (2003)
two-layered composite, a steady, 2-D Darcian flow in a three-layered
aquifer is studied. This flow is generated by different inlet
piezometric heads in thick upper and lower strata and a cross-flow
through an aquitard sandwiched between them. Analytically, a line vortex
combined with a dipole at infinity describes commingling between the
strata with refraction (continuity of head and normal flux component)
along the upper and lower boundaries of the aquitard. The Fourier method
by Riesenkampf (1940) gives explicit expressions for the specific
discharge vector fields in the three media. MODFLOW models finite
lengths composites of rectangular and octagonal shapes. The
Dupuit-Forchheimer approximation is illustrated to oversimplify the flow
topology.
AB - Using exact and explicit analytical solutions and MODFLOW simulations we
show that downstream of an unconformity (transition from an aquifuge
layer to a homogeneous aquitard) groundwater seeps at varying angles
with respect to the layering. As a generalization of the Anderson (2003)
two-layered composite, a steady, 2-D Darcian flow in a three-layered
aquifer is studied. This flow is generated by different inlet
piezometric heads in thick upper and lower strata and a cross-flow
through an aquitard sandwiched between them. Analytically, a line vortex
combined with a dipole at infinity describes commingling between the
strata with refraction (continuity of head and normal flux component)
along the upper and lower boundaries of the aquitard. The Fourier method
by Riesenkampf (1940) gives explicit expressions for the specific
discharge vector fields in the three media. MODFLOW models finite
lengths composites of rectangular and octagonal shapes. The
Dupuit-Forchheimer approximation is illustrated to oversimplify the flow
topology.
KW - Refracted specific discharge vector fields in an aquitard and two adjacent half-planes
KW - Flow net-isotachs
KW - Line vortex superposed with dipole at infinity in a three-layered composite
KW - Leaky layer versus leaky boundary
KW - 2-d flows versus Dupuit-Forchheimer approximation
KW - Analytical solutions versus MODFLOW
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U2 - 10.1016/j.advwatres.2018.11.007
DO - 10.1016/j.advwatres.2018.11.007
M3 - Article
AN - SCOPUS:85057146914
SN - 0309-1708
VL - 123
SP - 84
EP - 95
JO - Advances in Water Resources
JF - Advances in Water Resources
ER -