TY - JOUR
T1 - Three-dimensional groundwater flow to a lake
T2 - An explicit analytical solution
AU - Kacimov, A. R.
N1 - Funding Information:
This study was supported by Sultan Qaboos University, projects AGSWAT 9903 and AGR/99/13. Helpful comments of two anonymous referees are appreciated.
PY - 2000/12/31
Y1 - 2000/12/31
N2 - Steady, Darcian groundwater flow near a hemispherical lake contacting a confined homogeneous aquifer of semi-infinite depth is studied analytically by the method of separation of variables. The lake bottom is modeled either as an equipotential (the Dirichlet boundary) or as a surface with a thin sediment skin (the Robin boundary). The lake disturbs an incident uniform flow such that three regimes (gaining, losing and flow-through) are possible depending on the ambient velocity, aquifer conductivity, lake diameter, the bottom head, sediment thickness and conductivity in case of silted beds. Explicit expressions for the specific discharge and stream function are derived. Inflow and outflow rates are calculated. Implications for other equipotential surfaces placed in ambient fields are discussed.
AB - Steady, Darcian groundwater flow near a hemispherical lake contacting a confined homogeneous aquifer of semi-infinite depth is studied analytically by the method of separation of variables. The lake bottom is modeled either as an equipotential (the Dirichlet boundary) or as a surface with a thin sediment skin (the Robin boundary). The lake disturbs an incident uniform flow such that three regimes (gaining, losing and flow-through) are possible depending on the ambient velocity, aquifer conductivity, lake diameter, the bottom head, sediment thickness and conductivity in case of silted beds. Explicit expressions for the specific discharge and stream function are derived. Inflow and outflow rates are calculated. Implications for other equipotential surfaces placed in ambient fields are discussed.
KW - Discharge
KW - Groundwater flow
KW - Lake
KW - Recharge
KW - Sediment
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U2 - 10.1016/S0022-1694(00)00338-3
DO - 10.1016/S0022-1694(00)00338-3
M3 - Article
AN - SCOPUS:0034739741
SN - 0022-1694
VL - 240
SP - 80
EP - 89
JO - Journal of Hydrology
JF - Journal of Hydrology
IS - 1-2
ER -