Jr. Eggleston et al., IDENTIFICATION OF HYDRAULIC CONDUCTIVITY STRUCTURE IN SAND AND GRAVELAQUIFERS - CAPE-COD DATA SET, Water resources research, 32(5), 1996, pp. 1209-1222
This study evaluates commonly used geostatistical methods to assess re
production of hydraulic conductivity (K) structure and sensitivity und
er limiting amounts of data. Extensive conductivity measurements from
the Cape Cod sand and gravel aquifer are used to evaluate two geostati
stical estimation methods, conditional mean as an estimate and ordinar
y kriging, and two stochastic simulation methods, simulated annealing
and sequential Gaussian simulation. Our results indicate that for rela
tively homogeneous sand and gravel aquifers such as the Cape Cod aquif
er, neither estimation methods nor stochastic simulation methods give
highly accurate point predictions of hydraulic conductivity despite th
e high density bf collected data. Although the stochastic simulation m
ethods yielded higher errors than the estimation methods, the stochast
ic simulation methods yielded better reproduction of the measured In (
K) distribution and better reproduction of local contrasts in In (K).
The inability of kriging to reproduce high In (K) values, as reaffirme
d by this study, provides a strong instigation for choosing stochastic
simulation methods to generate conductivity fields when performing fi
ne-scale contaminant transport modeling. Results also indicate that es
timation error is relatively insensitive to the number of hydraulic co
nductivity measurements so long as more than a threshold number of dat
a are used to condition the realizations. This threshold occurs for th
e Cape Cod site when there are approximately three conductivity measur
ements per integral volume. The lack of improvement with additional da
ta suggests that although fine-scale hydraulic conductivity structure
is evident in the variogram, it is not accurately reproduced by geosta
tistical estimation methods. If the Cape Cod aquifer spatial conductiv
ity characteristics are indicative of other sand and gravel deposits,
then the results on predictive error versus data collection obtained h
ere have significant practical consequences for site characterization.
Heavily sampled sand and gravel aquifers, such as Cape Cod and Borden
, may have large amounts of redundant data, while in more common real
world settings, our results suggest that denser data collection will l
ikely improve understanding of permeability structure.