DEPLETION OF HIGH PLAINS
AQUIFER IN
BACKGROUND: An
aquifer is an underground layer from which groundwater can be usefully
extracted using a well. Usually the underground layer is of water-bearing
permeable unconsolidated materials or permeable rock. In many countries
aquifers are the main source of irrigation. The High Plains Aquifer in U.S.A
has an area of 174,000 sq miles in parts of eight states namely

Fig 1: The location of High Plains Aquifer
and its boundaries along with the major cities and counties (USGS).
Mean annual temperature: 43˚F in the North to 63˚F in the
South (U.S.G.S).
Mean annual precipitation: Ranges from 12 inches in the West to 33
inches in the East (U.S.G.S).
OBJECTIVE: Main
objective of the project is to determine the decrease of the water table using
various tools of Arc Map and Arc Catalog.
METHODS: The methods that can be used to create
virtual surface using interpolation are Inverse Distance Method (IDW), Spline
Method, Natural Neighbor Method and Kriging.
Inverse Distance Method: IDW literally depends on the concept of
spatial autocorrelation. “It assumes that the nearer a sample point is to the
cell whose value is to be estimated, the more closely the cell’s value will
resemble the sample point’s value” ESRI.
Spline
Method: “Spline virtually guarantees you a
smooth-looking surface. Imagine stretching a rubber sheet so that it passes
through all of your sample points” ESRI.
Natural
Neighbor Method: “Natural
Neighbor calculates the value of an estimated location as a weighted average of
the values of the natural neighbors” ESRI. This interpolation method can
efficiently handle large numbers of input points.
Kriging: “Kriging is one of the most complex and
powerful interpolators. It applies sophisticated statistical methods that
consider the unique characteristics of your dataset. In order to use Kriging
interpolation properly, you should have a solid understanding of geostatistical
concepts and methods” ESRI.
Difference between
interpolation methods: An IDW
surface never exceeds the highest or lowest values in the sample point set
unlike a Spline surface where the highest and the lowest values can exceed the
values in the data set. But in Spline the surface must be such that it passes
through all the points in the data set (ESRI). Whereas in Kriging the surface
can exceed the highest and lowest values of the data set but they may not pass
through any data points. The difference between these methods can be observed
in the Fig 3.
I choose Kriging method. The reason I
choose kriging method is, both IDW and Spline method are directly dependent on
the surrounding data, measurements or some mathematical equations, whereas
kriging has an advantage that it not only gives you the predicted surface but
it also gives the certainty or accuracy of the prediction (ESRI).

Fig 2:

Fig 2: The ranges of cell values in the resulting
surfaces will differ according to the method used. With courtesy of ESRI.
PROCEDURE: Initially the data is in text format, it is
coped into excel sheet and the unnecessary data for this analysis are removed.
The important fields of the data is formatted to 6 decimal points and then
changed to dBase (IV) form which is compatible in Arc
Once the data is converted into dBase (IV)
form it is imported into Arc Map and the XY data (latitude – longitude) is
displayed. After displacing the XY data,
virtual surface for the given well depths using interpolation is created. The
methods that can be used to create virtual surface using interpolation are
Inverse Distance Method (IDW), Spline Method, Natural Neighbor Method and
Kriging. I choose Kriging method to create virtual surface.
Kriging generates an estimated surface from
a scattered set of points with z-values; my z-values here in this analysis are
well depths. Virtual surfaces for years from 1995 to 2005 are created. Thus by
using Minus (3D Analyst) tool the difference between two virtual surfaces is
obtained, which will help us to analyze the patterns or trends of the depletion
of the water table if any. A 3D analyst tool from Arc Catalog is used to
analyze the virtual surfaces. Minus (3D Analyst) is a subtraction tool, which
“subtracts the value of the second input raster from the value of the first
input raster on a cell-by-cell basis within the Analysis window” ESRI. Using 3D
Analyst Minus tool the difference between the virtual surfaces of each year
with respect to 1995 is obtained.
RESULTS: By
using the Minus 3D analyst tool the difference in the virtual surfaces of
different years is obtained. Fig 4 and fig 5 shows the virtual surfaces 1995
and 2005 respectively that create using Kriging.

Fig 4: The virtual surface created for the
year 1995.
With the result obtained from the analysis
and by observation it is clear that the depletion of water table is not
following a trend or pattern from 1995 to 2005. Fig 6 shows the depletion of
water table from 1995 to 2005. So the factors responsible for depletion of
water table in High Plains Aquifer must be various and many. Hence depletion of
water table with years is compared to increase in population. Results obtained
are convincing. Fig 7 shows cities with high population in the year 2000. By
observation we can see that highly populated cities are the areas where more
number of wells is found as well as more depletion in the water table. The rest
of the figures and procedure followed are in appendix.

Fig 5: Virtual surface created for the year
2005.
CONCLUSION: The
maximum depletion of the water table since 1995 to 2005 is 983 feet with an
average depletion of 460 feet. As anticipated the water level fell mostly in
and around the densely populated areas.

Fig
6: Depletion of water table from 1995 – 2005.

Fig
7: Population density map for the year 2000 (Gurie 2007).
FUTURE WORKS: Future
works in this area should focus on the Characteristics of bed rocks surrounding
the wells and to see if their influence the depletion of water table is considerable.
Also the influence of a depleted aquifer (when it is completely dried) on the
surrounding or other aquifers, whether they deplete or project.
More tools like hydrology tool set in arc
catalogue can be used to get indepth analysis .(taking porosity, permeability
and transmissibility into account.)
REFERENCE:
esri.com/virtual training courses.
McGuire, V.L., 2007, “Water-Level
Changes in the High Plains Aquifer, Predevelopment to 2005 and 2003 to 2005”.
USGS website.
Fig A.1: Virtual surface created for the
year 1996

Fig
A.2: Virtual surface created for the year 1997.
Fig A.3:
Virtual surface created for the year 1998.
Fig A.4:
Virtual surface created for the year 1999.

Fig
A.5: Virtual surface created for the year 2000.
Fig A.6:
Virtual surface created for the year 2001.

Fig
A.7: Virtual surface created for the year 2002.
Fig A.8:
Virtual surface created for the year 2003.

Fig A.9: Virtual surface created for the
year 2004.

Fig A.9: Depletion in the water table between
the years 1995 and 1996.

Fig A.10: Depletion in the water table between
the years 1995 and 1997.

Fig A.11: Depletion in the water table
between the years 1995 and 1998.

Fig A.12: Depletion in the water table
between the years 1995 and 1999.

Fig A.13: Depletion in the water table
between the years 1995 and 2000.

Fig A.14: Depletion in the water table
between the years 1995 and 2001.

Fig A.15: Depletion in the water table
between the years 1995 and 2002.

Fig A.16: Depletion in the water table
between the years 1995 and 2003.

Fig A.17: Depletion in the water table
between the years 1995 and 2004.
SAMPLE dBASE file.
|
state_cd |
cnty_cd |
site_cd |
otid |
site_name |
lat_dd_NAD83 |
long_dd_NAD83 |
land_alt_NGVD29 |
well_depth_ft |
|
35 |
25 |
USGS 323405103044501 |
|
20S.39E.19.122122 |
32.56817 |
-103.08 |
3546.3 |
-999 |
|
35 |
25 |
USGS 323735103075001 |
|
19S.38E.34.22122 |
32.6265 |
-103.131 |
3595.4 |
120 |
|
35 |
25 |
USGS 324455103283501 |
|
18S.35E.17.41111 |
32.74873 |
-103.477 |
3941 |
190 |
|
35 |
25 |
USGS 324615103083001 |
|
18S.38E.03.31333 |
32.77094 |
-103.142 |
3656 |
100 |
|
35 |
25 |
USGS 324715103113001 |
|
17S.38E.31.311111 |
32.78761 |
-103.192 |
3689.5 |
110 |
|
35 |
25 |
USGS 324745103055501 |
|
17S.38E.36.212122 |
32.79594 |
-103.099 |
3657 |
130 |
|
35 |
25 |
USGS 324745103082001 |
|
17S.38E.34.113143 |
32.79594 |
-103.144 |
3664.2 |
126 |
|
35 |
25 |
USGS 324755103145501 |
|
17S.37E.34.11111 |
32.79873 |
-103.249 |
3730.4 |
100 |
|
35 |
25 |
USGS 324820103204501 |
|
17S.36E.27.13134 |
32.80568 |
-103.346 |
3844 |
100 |
|
35 |
25 |
USGS 324850103060901 |
|
17S.38E.24.314444 |
32.814 |
-103.103 |
3657 |
175 |
|
35 |
25 |
USGS 324946103082801 |
|
17S.38E.15.313111 |
32.82955 |
-103.142 |
3687.1 |
110 |
|
35 |
25 |
USGS 325113103125001 |
|
17S.37E.12.11321 |
32.85373 |
-103.214 |
3747.8 |
140 |
|
35 |
25 |
USGS 325115103101501 |
|
17S.38E.08.21113 |
32.85428 |
-103.171 |
3714.8 |
145 |
|
35 |
25 |
USGS 325115103141501 |
|
17S.37E.10.211111 |
32.85428 |
-103.238 |
3762.1 |
130 |
|
35 |
25 |
USGS 325132103112501 |
|
17S.38E.07.111311 |
32.85547 |
-103.196 |
3728.1 |
125 |
|
35 |
25 |
USGS 325151103054201 |
|
17S.38E.01.23214 |
32.86427 |
-103.095 |
3722 |
-999 |
|
35 |
25 |
USGS 325250103082501 |
|
16S.38E.34.13131 |
32.88067 |
-103.141 |
3707.4 |
130 |
|
35 |
25 |
USGS 325307103110001 |
|
16S.38E.30.21111 |
32.88539 |
-103.184 |
3747.1 |
118 |
|
35 |
25 |
USGS 325350103123501 |
|
16S.37E.25.111113 |
32.89734 |
-103.21 |
3767 |
-999 |
|
35 |
25 |
USGS 325415103081501 |
|
16S.38E.27.111111 |
32.90428 |
-103.138 |
3714.1 |
130 |
|
35 |
25 |
USGS 325435103035001 |
|
16S.39E.29.23332 |
32.90983 |
-103.064 |
3678.7 |
172 |
|
35 |
25 |
USGS 325436103191001 |
|
16S.36E.23.241324 |
32.91012 |
-103.32 |
3860 |
95 |
|
35 |
25 |
USGS 325448103035001 |
|
16S.39E.17.34422 |
32.91344 |
-103.064 |
3679.5 |
-999 |
|
35 |
25 |
USGS 325455103250501 |
|
16S.35E.24.111241 |
32.9154 |
-103.419 |
3966.4 |
100 |
|
35 |
25 |
USGS 325545103132001 |
|
16S.37E.14.211114 |
32.92928 |
-103.223 |
3786.9 |
130 |
|
35 |
25 |
USGS 325545103243001 |
|
16S.35E.13.112312 |
32.92929 |
-103.409 |
3970 |
82 |
|
35 |
25 |
USGS 325619103323101 |
|
16S.34E.10.21431 |
32.93873 |
-103.542 |
4099.7 |
-999 |
|
35 |
25 |
USGS 325622103191501 |
|
16S.36E.11.241131 |
32.93956 |
-103.321 |
3886 |
100 |
|
35 |
25 |
USGS 325628103275601 |
|
16S.35E.09.11120 |
32.94123 |
-103.466 |
4024.6 |
154 |
|
35 |
25 |
USGS 325645103171501 |
|
16S.37E.07.114224 |
32.94595 |
-103.288 |
3859 |
125 |
|
35 |
25 |
USGS 325655103081501 |
|
16S.38E.03.33333 |
32.94872 |
-103.138 |
3727.1 |
140 |
|
35 |
25 |
USGS 325658103200001 |
|
16S.37E.11.11111 |
32.94956 |
-103.334 |
3794.6 |
118 |
|
35 |
25 |
USGS 325730103213901 |
|
16S.36E.04.32232 LOVINGT |
32.95806 |
-103.361 |
3922 |
212 |
|
35 |
25 |
USGS 325750103123001 |
|
16S.37E.02.211141 |
32.964 |
-103.209 |
3801 |
120 |
|
35 |
25 |
USGS 325750103124001 |
|
16S.37E.01.311123 |
32.964 |
-103.212 |
3789.7 |
105 |
|
35 |
25 |
USGS 325813103123601 |
|
15S.37E.33.311341 |
32.97039 |
-103.21 |
3798.9 |
127 |
|
35 |
25 |
USGS 325815103041001 |
|
15S.38E.35.13133 |
32.97094 |
-103.07 |
3714.6 |
140 |
|
35 |
25 |
USGS 325826103142601 |
|
15S.37E.31.132221 |
32.97401 |
-103.241 |
3828.3 |
107 |
|
35 |
25 |
USGS 325920103185501 |
|
15S.36E.28.131331 |
32.98901 |
-103.316 |
3905 |
138 |
|
35 |
25 |
USGS 325920103203001 |
|
15S.36E.30.411114 |
32.98901 |
-103.342 |
3924 |
120 |
|
35 |
25 |
USGS 325926103113401 |
|
15S.37E.27.111342 |
32.99067 |
-103.193 |
3793.3 |
126 |
|
35 |
25 |
USGS 325926103134101 |
|
15S.37E.29.111313 |
32.99067 |
-103.229 |
3828.6 |
120 |
|
35 |
25 |
USGS 325945103195001 |
|
15S.36E.29.112121 |
32.99595 |
-103.331 |
3916 |
105 |
|
35 |
25 |
USGS 330045103103001 |
|
15S.37E.23.112130 |
33.01261 |
-103.175 |
3791.4 |
122 |
|
35 |
25 |
USGS 330138103051001 |
|
15S.38E.10.321134 |
33.02733 |
-103.087 |
3734.5 |
155 |
|
35 |
25 |
USGS 330255103205501 |
|
15S.36E.01.311113 |
33.04873 |
-103.349 |
3879.8 |
120 |
|
35 |
25 |
USGS 330315103192001 |
|
15S.36E.05.211120 |
33.05428 |
-103.323 |
3939.7 |
128 |
|
35 |
25 |
USGS 330330103144501 |
|
14S.37E.31.33131 |
33.05845 |
-103.246 |
3873.5 |
130 |
|
35 |
25 |
USGS 330349103165301 |
|
14S.36E.35.111112 |
33.06373 |
-103.282 |
3910.1 |
136 |