Sensitivity analysis of a no-crossflow model for the transient flowmeter test |
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| Authors: | Z J Kabala H K El-Sayegh H P Gavin |
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| Institution: | (1) Department of Civil and Environmental Engineering, Duke University, Durham, NC 27708-0287, USA, US |
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| Abstract: | Logarithmic sensitivities and plausible relative errors are studied in a simple no-crossflow model of a transient flowmeter
test (TFMT). This model is identical to the model of a constant-rate pumping test conducted on a fully penetrating well with
wellbore storage, surrounded by a thick skin zone, and situated in a homogeneous confined aquifer. The sensitivities of wellbore
drawdown and wellface flowrate to aquifer and skin parameters are independent of the pumping rate. However, the plausible
relative errors in the aquifer and skin parameters estimated from drawdown and wellface flowrate data can be proportionally
decreased by increasing the pumping rate. The plausible relative errors vary by many orders of magnitude from the beginning
of the TFMT. The practically important flowrate and drawdown measurements in this test, for which the plausible relative errors
vary by less than one order of magnitude from the minimum plausible relative errors, can begin approximately when the dimensionless
wellface flowrate exceeds q
D
=q/Q≈0.4. During most of this stage of the test, the plausible relative errors in aquifer hydraulic conductivity (K
a
) are generally an order of magnitude smaller than those in aquifer specific storativity. The plausible relative errors in
the skin hydraulic conductivity (K
s
) are generally larger than the plausible relative errors in the aquifer specific storativity when the thick skin is normal
(K
s
>K
a
) and smaller when the thick skin is damaged (K
s
<K
a
). The specific storativity of the skin zone would be so biased that one should not even attempt to estimate it from the TFMT.
We acknowledge Wiebe H. van der Molen for recommending the De Hoog algorithm and sharing his code. This research was partially
supported by the US Geological Survey, USGS Agreement #1434-HQ-96-GR-02689 and North Carolina Water Resources Research Institute,
WRRI Project #70165. |
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| Keywords: | : Ground water Transient flowmeter test Sensitivity analysis |
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