E
NSIN
tern Wisconsin
uifer thickness,
analyzed using
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ets in a suitable
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e GIS to model
/here they were
er levels and
t the effect of
ifer on ground-
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inite-difference
monly referred
and Harbaugh,
the study area
e cells of finite
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ning measured
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aulic properties
y solving the
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ed water levels
with measured
input values of
aquifer system
bration process
, of the model
With the advent
put-data sets for
been greatly
es how a GIS,
stems Research
Institute Inc., 1991), was used to assemble
input-data sets for and analyze results from a
finite-difference model of ground-water flow in
northeastern Wisconsin.
The study area is a 26,000 km? area
which includes Lake Winnebago, part of Lake
Michigan, and the major ground-water
pumping centers of Green Bay and the Fox
Cities. The area was discretized using
commands within the GIS and a Fortran
program (D.O. Winkless and J.M. Kernodle,
U.S. Geological Survey, written communica-
tion, 1994). The gridded area is georeferenced
and is represented as point and polygon data
layers. The grid spacing is smaller in areas of
large withdrawals of ground water to improve
simulation of the effects of pumping on
ground-water levels and flows. Row and
column numbers, and a sequence number are
associated with each cell and are used to move
data between data layers and the model. The
model grid used in this study contains 141
rows and 100 columns (14,100 cells). The
smallest cell area is approximately 1 km?; the
largest cell area is 165 km?. The grid is
oriented so that rows are parallel to ground-
water flow.
The model requires information about
each cell including cell type (active, inactive,
boundary cell properties), an initial water level,
thickness of the aquifer units, leakances
between aquifer layers, recharge rate, and, if
necessary, river properties and well pumpage.
This information is read by the model as two-
dimensional arrays for properties, such as
thickness or water levels, and as single values
identified by model layer, row and column for
data sets containing well and river information.
2. METHODS
Hydrogeologic data were entered into the
GIS by digitizing maps, modifying existing
GIS data layers for the study area, and entering
point data from USGS data bases. By
intersecting data layers containing the
hydrogeologic data with the grid layer, each
cell was assigned hydrogeologic properties.
69
Calculations for each cell were made within
the GIS to compute thickness from altitudes, or
leakances from area, thickness and hydraulic
conductivity values. The graphic capabilities of
the GIS provided the opportunity to check the
spatial distribution and magnitude of aquifer
properties and edit the data layers, if necessary,
before building the model input-data sets. Once
the correct values were assigned to each cell,
files in a format suitable for MODFLOW input
were created from the GIS. Two dimensional
arrays were written to a file using a
combination of GIS commands and a Fortran
program. Files for river and well data were
made by outputting the layer, row, column, and
values using GIS commands.
3. RESULTS
Using a GIS greatly aids in compiling
data for use in regional ground-water flow
models. The ability to graphically display and
interactively edit the information provides an
efficient method to create large data sets that
are spatially correct. Transferring contour data
from paper maps to a gridded digital format is
easily accomplished and verified. Calculations
of model input parameters are efficiently
performed in the grid layer.
Assigning an accurate altitude to river
reaches within cells, which is required in
MODFLOW, was the most difficult step to
automate because in some locations the
altitudes assigned from a digital elevation
model (DEM) resulted in a gradient of the river
that is opposite of the actual gradient. The
altitude of the river was assigned to each cell
containing a river reach by converting the lines
representing rivers to points and assigning an
altitude to the points from a DEM of the land
surface. The altitudes of all reaches within a
cell were compared and the minimum altitude
for each cell was assigned to the river reaches
in the cell. The incorrect altitude was the result
of sample density of the DEM, cell size or
complexity of topography. A low sample
density of the DEM may not provide the
resolution necessary to accurately represent the
gradient of linear features such as rivers.