Introduction
We address the problem of characterizing heterogene-
ity in regional aquifer systems using databases derived
from borehole logs in the public domain (predominantly
water well logs of varying quality). We also address the
problem of representing that heterogeneity within models
for ground water flow and transport. We focus on sedimen-
tary aquifer systems in which sedimentary unit types have
different permeability modes (Ritzi et al. 2003; Gaud et al.
2004).
We bring a number of methods involving indicator
geostatistics to bear on these problems (Johnson 1995; Ritzi
et al. 1995; Carle and Fogg 1996, 1997; Deutsch and Jour-
nel 1998; Carle 1998; Ritzi et al. 2000; Ritzi 2000). We
apply the geostatistical methods in ways that reduce bias in
statistics derived from borehole log data. We consider sed-
imentary units defined at two different scales within a hier-
archical framework. Our focus is on characterizing and
modeling the three-dimensional interconnection of higher-
permeability units.
The three-dimensional architecture of sedimentary unit
types can strongly influence mass transport (Anderson
1990; Desbarats 1990; Ritzi et al. 2000; Weissmann et al.
2002). Residence-time distributions can differ significantly
from unimodal, normal distributions. Shorter residence
time is influenced by transport in interconnected unit types
of higher permeability. Longer residence time is influ-
enced, in part, by transport through lower-permeability unit
types. In some cases, the relevant aspects of transport have
been shown to be sensitive to the architecture of units
defined at one scale, but insensitive to the heterogeneity at
smaller scales within those units (Desbarats 1990). How-
ever, this may not always be true. In some cases, the archi-
tecture at multiple scales may be important.
Methods in indicator geostatistics are particularly well
suited to characterizing and modeling sedimentary archi-
tecture. In briefly reviewing them, we can divide them into
two groups. In one group are the methods that are used to
Abstract
A number of methods involving indicator geostatistics were combined in a methodology for characterizing and
modeling multiscale heterogeneity. The methodology circumvents sources of bias common in data from borehole
logs. We applied this methodology to the complex heterogeneity within a regional system of buried valley aquifers,
which occurs in the western glaciated plains of North America and includes the Spiritwood Aquifer. The region is
conceptualized as having a hierarchical organization with three facies assemblage types (large-scale heterogeneity)
and two facies types within each assemblage (small-scale heterogeneity). We statistically characterized the sedimen-
tary architecture at both scales, formulated indicator correlation models from those characterizations, and used the
models to simulate the architecture in a multiscale realization. We focused on the interconnectivity of units creating
higher-permeability pathways. Higher-permeability pathways span the realization even though the proportion of
higher-permeability facies is less than the percolation threshold. Thus, geologic structures as represented in the indi-
cator correlation models create interconnectivity above that which would occur if the higher-permeability facies were
randomly placed. This amount of interconnection among higher-permeability facies within the multiscale realization
is consistent with that suggested in prior hydraulic and geochemical studies of the regional system.
658
M odeling M ultiscale Heterogeneity
and Aquifer Interconnectivity
by Christopher J. Proce
1
, Robert W. Ritzi
1,2
, David F. Dominic
1
, and Zhenxue Dai
1
1
Department of Geological Sciences, Wright State University,
Dayton, OH 45435
2
Corresponding author: (937) 775–2460; rritzi@wright.edu
Received July 2002, accepted September 2003.
Copyright
©
2004 by the National Ground Water Association.
Vol. 42, No. 5—GROUND WATER—September–October 2004 (pages 658–670)