1999 ICM Problem 


Well
Number (ft) 
xCoordinate
(ft) 
yCoordinate
(ft) 
Elevation
(ft) 
MW1 
4187.5 
6375.0 
1482.23 
MW3 
9062.5 
4375.0 
1387.92 
MW7 
7625.0 
5812.5 
1400.19 
MW9 
9125.0 
4000.0 
1384.53 
MW11 
9062.5 
5187.5 
1394.26 
MW12 
9062.5 
4562.5 
1388.94 
MW13 
9062.5 
5000.0 
1394.25 
MW14 
4750.0 
2562.5 
1412.00 
The
locations and elevations of the other two wells in the data set (MW27
and MW33) are not known. In the data set you will also see the letter
T, M or B after the well number, indicating the measurements were taken
at the Top, Middle, or Bottom of the aquifer in the well. Thus, MW7B
and MW7M are from the same well, but from the bottom and from the
middle. Also, other measurements indicate that water tends to flow
toward well MW9 in this area.
Problem
One
Build
a mathematical model to determine whether any new pollution has begun
during this time period in the area represented by the data set.
If so, identify the new pollutants and estimate the location and
time of their source.
Problem
Two
Before the collection of any data, the question arises whether the intended type of data and model can yield the desired assessment of the location and amount of pollutants. Liquid chemicals may have leaked from one of the storage tanks among many similar tanks in a storage facility built over a homogeneous soil. Because probing under the many large tanks would be prohibitively expensive and dangerous, measuring only near the periphery of the storage facility or on the surface of the terrain seems preferable. Determine what type and number of measurements, taken only outside the boundary or on the surface of the entire storage facility, can be used in a mathematical model to determine whether a leak has occurred, when it occurred, where (from which tank) it occurred, and how much liquid has leaked.