Se. Silliman et S. Caswell, OBSERVATIONS OF MEASURED HYDRAULIC CONDUCTIVITY IN 2 ARTIFICIAL, CONFINED AQUIFERS WITH BOUNDARIES, Water resources research, 34(9), 1998, pp. 2203-2213
Recent theoretical efforts have provided story evidence that the effec
tive conductivity varies with distance between monitoring wells and a
point source. In the present study, two artificial confined aquifers w
ere subjected to steady state pumping tests, Analysis of these experim
ental results indicates dependence of the estimated hydraulic conducti
vity on distance from the pumping well and the form of the physical he
terogeneity present. As the precision of the measured hydraulic heads
within the experimental apparatus was limited to similar to 0.5 mm, th
e experimental results were reproduced numerically. Although some mino
r discrepancies were noted between the numerical and experimental resu
lts, the primary observations were consistent. In all cases the Thiem
equation was used in combination with image well theory (to account fo
r the boundary conditions) to analyze the response at 25 observation p
oints (87 observation points used in the numerical experiments), provi
ding a number of estimates of the hydraulic conductivity. Within each
experiment it was observed that the variance of the conductivity estim
ate decreased with the distance between the two observation wells used
in the calculation. Further, the mean conductivity varied with distan
ce from the pumping well. In an experiment in which the medium was con
structed to mimic a second-order stationary random field the mean cond
uctivity approached, at large distance from the pumping well, the cond
uctivity for a random, anisotropic medium under mean uniform flow. In
an experiment in which the medium was constructed to mimic a structure
d (scaled) medium the mean conductivity decreased, at large distance f
rom the pumping well, below the geometric mean and approached a value
between the geometric and the harmonic means of the conductivity field
. While the boundary conditions make it difficult to fully analyze the
large-dimension behavior of these two media, it is clear from the res
ults that the structured medium performs quite differently than the ra
ndom field at large-measurement scale.