A sand column has the following characteristics:
$$ K = 10^{-4} \frac{cm}{s} \\ A = 75 cm^{2} \\ \frac{dh}{dl} = 0.01 \\ n = 0.20$$Determine:
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# discussion
The figure below shows a piezometric map for a shallow sand aquifer. The hydraulic conductivtiy is estimated to be $1.5 \times 10^{-2}~\frac{cm}{s}$, the saturated thickness is 40 feet, and the effective porosity is 0.3.
Determine:
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# discussion
Three geologic formations overlie one another with the characteristics listed below.
$$ b_1 = 50~ft ~~~~ K_1 = 0.0002 \frac{ft}{s}\\ b_2 = 20~ft ~~~~ K_1 = 0.000005 \frac{ft}{s}\\ b_3 = 210~ft ~~~~ K_1 = 0.001 \frac{ft}{s}$$A constant velocity vertical flow field exists across the three formations. The hydraulic head at the top of the formations (top of formation 1) is 33 feet. The hydraulic head at the bottom of the formations (bottom of formation 3) is 21 feet.
Determine:
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# discussion
Three monitoring wells are in a homogeneous isotropic confined aquifer with transmissivity $T=1700\frac{m^2}{day}$. The observed piezometric heads are given in the table below:
Well ID | Easting Coordinate (m) | Northing Coordinate (m) | Head (m) |
---|---|---|---|
MW-1 | 0 | 0 | 120.0 |
MW-2 | 0 | 300 | 118.4 |
MW-3 | 200 | 0 | 122.5 |
Determine:
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# discussion
Three monitoring wells are in a homogeneous anisotropic aquifer with saturated thickness of 20 m, and hydraulic conductivity given by
$$ \begin{gather} \mathbf{K} = \begin{pmatrix} 30 & ~8 \\ ~\\ 8 & 10 \\ \end{pmatrix} \frac{m}{day} ~ \end{gather} $$The observed piezometric heads are given in the table below:
Well ID | Easting Coordinate (m) | Northing Coordinate (m) | Head (m) |
---|---|---|---|
MW-1 | 0 | 0 | 120.0 |
MW-2 | 0 | 300 | 118.4 |
MW-3 | 200 | 0 | 122.5 |
Determine:
# sketch(s)
# list known quantities
# list unknown quantities
# governing principles
# solution details (e.g. step-by-step computations)
# discussion