Abstract:
This study developed a generalized non-Darcian radial flow model incorporating pore clogging effects to analyze its impact on high-velocity flow around a recharge well.The non-Darcian flow was described using the Forchheimer equation,with time-dependent intrinsic hydraulic conductivity (
KD(
t)) and inertial hydraulic conductivity (
KN(
t)) introduced to characterize clogging evolution.A quasi-steady-state approximate semi-analytical solution was derived using linearization and Laplace transform,and a numerical solution was developed using the segmented nonlinear Galerkin method.Results show that:in constant-rate injection tests (CRTs),decreased
KD(
t) and
KN(
t) or increased clogging zone radius (
rc) elevates the hydraulic head (
s) in the clogged zone but has negligible impact on the unclogged region.When
rc exceeds the non-Darcian flow zone,reduced
KN(
t) expands the non-Darcian flow region.In constant-head injection tests (CHTs),decreased
KD(
t) and
KN(
t) or increased
rc reduce s throughout the aquifer,with
KD(
t) reduction limiting the influence of non-Darcian flow on s.The permeability reduction due to clogging causes an inflection point at
r=
rc on the
s-log
r curve in both CRTs and CHTs and a “rise-then-fall” pattern on the
s-log
t curve in CHTs.These characteristics are more pronounced under dominant non-Darcian flow.The findings provide a theoretical basis for dynamic assessment and prediction of aquifer clogging.