The evaluation of a pump test or a ‘slug’ test in a single well that completely penetrates a leaky aquifer does not yield a unique relation between the hydraulic properties of the aquifer, independent of the testing conditions. If the flow is transient, the drawdown is characterized by a single similarity parameter that does not distinguish between the storativity and the leakage factor. If the flow is quasi stationary, the drawdown is characterized by a single similarity parameter that does not distinguish between the transmissivity and the leakage factor. The general non steady solution, which is derived in closed form, is characterized bythree similarity parameters.
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- a :
e γ≈0.8905 = auxiliary parameter
- b :
thickness of the aquifer
- b c :
thickness of the semipervious stratum
auxiliary functions in the complex plane
auxiliary functions of time
- h ∞ :
undisturbed level of the phreatic surface
- K :
conductivity of the aquifer
- K c :
conductivity of the semipervious stratum
- m 0 :
- m :
dimensionless leakage factor
auxiliary function in the complex plane
- Q′ w (t):
- Q ∞ :
steady discharge flux
- Q 0 :
constant discharge flux during limited time
dimensionless discharge flux
- r 0 :
radius of the well
- r′ :
- r :
dimensionless radial coordinate
- s :
- s 0 :
- S :
storativity of the aquifer
- S n :
n'th part of an integration contour
- t′ :
- t :
- T :
transmissivity of the aquifer
- α,β,ε,κ,λ,θ :
- γ :
- ξ :
- ψ 1(ξ),ψ 2(ξ):
- σ′(r′, t′):
drawdown in the well
- σ(r, t):
- σ 0(t):
dimensionless drawdown in the well
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Rehbinder, G. Theory of single well tests in a leaky aquifer. Analytical solution for non steady flow. Appl. Sci. Res. 55, 211–225 (1995). https://doi.org/10.1007/BF00867512
- single well
- slug test