Interpretation of single-well tracer tests using fractional-flow dimensions. Part 1: Theory and mathematical models |
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| Authors: | Gerrit van Tonder Kornelius Riemann Ingrid Dennis |
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| Institution: | (1) University of the Free State, Institute for Groundwater Studies, Box 339, Bloemfontein 9300, South Africa, |
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| Abstract: | Generalized equations using fractional-flow dimensions were derived to estimate the Darcy and seepage velocities obtained
from the point-dilution and the single-well injection-withdrawal field tests conducted in fractured-rock aquifers. Seepage
velocities can only be estimated from single-well tests if the hydraulic conductivity and the hydraulic gradient are known
a priori. However, if a radial-convergent test is also performed between two boreholes, the kinematic porosity can be estimated
and be used to estimate the seepage velocity from the single-well test results.
To apply the generalized equations, the flow dimension and the extent of the flow region must be known. Therefore, the generalized
radial flow (GRF) model of Barker (1988; a generalized radial flow model for hydraulic tests in fractured rock. Water Resour
Res 24(10):1796–1804) is used to estimate the flow dimension because of its wide range of applications. A pumping test performed
on the boreholes will yield an estimate of the fractional-flow dimension by applying the GRF model.
Electronic Publication |
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| Keywords: | Fractional-flow dimension Fractured aquifer Injection-withdrawal test Point-dilution test Tracer |
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