TY - JOUR
T1 - Analytical solution for transient flow into a hemispherical auger hole
AU - Kacimov, A. R.
PY - 2000/2/21
Y1 - 2000/2/21
N2 - An explicit analytic solution for a transient groundwater flow to an auger hole of hemispherical shape is found on the base of ideas and under the same assumptions as in the original paper of Kirkham and van Bavel (1948). Theory of seepage into auger holes. Soil Sci. Soc. Am. Proc., 13, 75-82). The Legendre polynomial expansions are used to solve the Laplace equation with a combination of seepage face and equipotential conditions along the hole contour. A type curve for increasing water level in an initially empty hole is plotted, which allows for a fast determination of the hydraulic conductivity from the observation of filling of a small hole tapping a shallow water table. Time-decreasing total flow rates, velocities, particle trajectories, a capture zone of the hole are calculated using the Wolfram MATHEMATICA software. (C) 2000 Elsevier Science B.V.
AB - An explicit analytic solution for a transient groundwater flow to an auger hole of hemispherical shape is found on the base of ideas and under the same assumptions as in the original paper of Kirkham and van Bavel (1948). Theory of seepage into auger holes. Soil Sci. Soc. Am. Proc., 13, 75-82). The Legendre polynomial expansions are used to solve the Laplace equation with a combination of seepage face and equipotential conditions along the hole contour. A type curve for increasing water level in an initially empty hole is plotted, which allows for a fast determination of the hydraulic conductivity from the observation of filling of a small hole tapping a shallow water table. Time-decreasing total flow rates, velocities, particle trajectories, a capture zone of the hole are calculated using the Wolfram MATHEMATICA software. (C) 2000 Elsevier Science B.V.
KW - Groundwater
KW - Hydraulic conductivity
KW - Unconfined aquifer
KW - Water table
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U2 - 10.1016/S0022-1694(99)00190-0
DO - 10.1016/S0022-1694(99)00190-0
M3 - Article
AN - SCOPUS:0034696333
SN - 0022-1694
VL - 228
SP - 1
EP - 9
JO - Journal of Hydrology
JF - Journal of Hydrology
IS - 1-2
ER -