Birds Nest Aquifer 3d Model Case Study
Figure 12. Birds Nest Aquifer 3D Model - Top view. (National Council of Teachers of Mathematics, n.d.) Created using an isometric drawing tool. (not to scale)
Figure 13. Birds Nest Aquifer 3D Model - Bottom view. (National Council of Teachers of Mathematics, n.d.) Created using an isometric drawing tool. (not to scale)
METHOD The formula used to get the aquifer is the same general formula used to get the volume for pools and ponds. The result will be given in gallons and will then be converted in barrels. The total capacity will be multiplied by the porosity to get an idea of the Birds Nest aquifer’s capacity in barrels of produced water.
The steps to do the calculation of the upper section of the Birds Nest aquifer is the following:
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Convert gallons to barrels.
a. 8,638,146,989,472 gallons = 274,226,888,157.04 bbl
4. The total of barrels multiplied by the porosity which is 2.5% or .025.
a. 274,226,888,157.04 barrels x .025 = 6,855,672,203.93 bbl of produced water.
5. The total capacity of the upper section of the Birds Nest aquifer is 6,855,672,203.93 bbl of produced water.
The steps to do the calculation of the lower section of the Birds Nest aquifer is the following:
1. Calculate the total volume capacity in gallons of the lower section of the Birds Nest aquifer.
2. L x W x D x 5.9 = C where L = Length of the lower section = 53.51 miles = 282,532.8 feet
W = Width of the lower section = 20.22 miles = 106,761.6 feet
D = Average depth of the lower section = 100 feet
C = Capacity
5.9 = The multiplier for round and oval water bodies.
282,532.8 feet x 106,761.6 feet x 100 feet x 5.9 = 17,796,555,730,483.2 gallons
3. Convert gallons to barrels.
a. 17,796,555,730,483.2 gallons = 564,970,022,370.73 bbl
4. The total of barrels multiplied by the porosity which is 2.5% or .025.
a. 564,970,022,370.73 bbl x .025 = 14,124,250,559.27 bbl of produced water.
5. The total capacity of the lower section of the Birds Nest aquifer is 14,124,250,559.27 bbl of produced
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This 2.5% represents the porosity used in the UGS Special Study 147 (2012) and will be used in this study to represent the porosity in the upper and lower section of the Birds Nest aquifer. This will provide the predicted calculation to be used in the prediction on how long will take injection wells to fill the whole Birds Nest aquifer. The capacity of the upper and lower section of the Birds Nest is intense. This aquifer can hold billions bbl of produced water.
The first example used for this research is the Chapita Wells Unit SWD injection. The Chapita Wells Unit SWD injection well is one of the wells with a high record of injected fluids in the Birds Nest, and was used in this study as Example A. This well injected approximately 3 million bbl in the year of 2010. To determine how long will take the Chapita Wells Unit SWD to fill the upper section of the Birds Nest aquifer. The following calculations were done:
U = Upper section of the Birds Nest aquifer = 6,855,672,203.93 bbl
A = Example A = inject 3,000,000 bbl per year
R = Years needed to fill the upper
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