 |
| Titel |
Technical Note: Approximate solution of transient drawdown for constant-flux pumping at a partially penetrating well in a radial two-zone confined aquifer |
| VerfasserIn |
C.-S. Huang, S.-Y. Yang, H.-D. Yeh |
| Medientyp |
Artikel
|
| Sprache |
Englisch
|
| ISSN |
1027-5606
|
| Digitales Dokument |
URL |
| Erschienen |
In: Hydrology and Earth System Sciences ; 19, no. 6 ; Nr. 19, no. 6 (2015-06-05), S.2639-2647 |
| Datensatznummer |
250120732
|
| Publikation (Nr.) |
 copernicus.org/hess-19-2639-2015.pdf |
|
|
|
|
|
| Zusammenfassung |
| An aquifer consisting of a skin zone and a formation zone is considered as a
two-zone aquifer. Existing solutions for the problem of constant-flux
pumping in a two-zone confined aquifer involve laborious calculation. This
study develops a new approximate solution for the problem based on a
mathematical model describing steady-state radial and vertical flows in a
two-zone aquifer. Hydraulic parameters in these two zones can be different
but are assumed homogeneous in each zone. A partially penetrating well may
be treated as the Neumann condition with a known flux along the screened
part and zero flux along the unscreened part. The aquifer domain is finite
with an outer circle boundary treated as the Dirichlet condition. The
steady-state drawdown solution of the model is derived by the finite Fourier
cosine transform. Then, an approximate transient solution is developed by
replacing the radius of the aquifer domain in the steady-state solution with
an analytical expression for a dimensionless time-dependent radius of
influence. The approximate solution is capable of predicting good temporal
drawdown distributions over the whole pumping period except at the early
stage. A quantitative criterion for the validity of neglecting the vertical
flow due to a partially penetrating well is also provided. Conventional
models considering radial flow without the vertical component for the
constant-flux pumping have good accuracy if satisfying the criterion. |
| |
|
| Teil von |
|
|
|
|
|
|
|