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Flow net analysis 1  

The figure below shows equipotentials (hydraulic head contours) for an aquifer near a stream and with a pumping well.  Assume that the aquifer is homogeneous and isotropic, has a constant thickness, and both the stream and well are fully penetrating the aquifer. 

You may need the following information:

  • transmissivity T = 10 m2/hr
  • saturated thickness b = 10m
  • porosity n = 0.1

Problem A. Complete the following:

Using the completed flow net, do the following:

  1. Draw arrows in the upper right showing ambient flow directions (and specific discharge) away from the well and stream. 
  2. Would a contaminant released at any of the points A, B or C ever reach the well? If yes, which one(s)?
  3. How long would it take a contaminant to move from point A to the well or to the stream? Assume that once the contaminant reaches the 41m contour, it immediately enters the well.
  4. Where in the aquifer is the specific discharge zero? This is the stagnation point. Mark it SP.
  5. What is the magnitude of the hydraulic gradient in the stream?
  6. Show the area within which all water moves into the well by cross-hatching it (///); Hint: release particles (say 10) uniformly around the well and trace backward to delineate the source water area.
  7. Show the area of the aquifer that has water coming from the stream by cross-hatching it (\\\)

 Optional

  1. What is the pumping rate of the well?
  2. How much pumped water comes from the stream?


Problem B. Verify your results by developing and analyzing a IGW-NET flow model. 

IGW-NET Modeling Hints:

  • Use ‘Synthetic mode’ in MAGNET to create a model domain. Resize the domain to be approximately the same size as the study area shown in the figure.
  • Add prescribed head line feature along the left edge to represent the stream.
  • Use reverse particle tracking to determine source water areas to the well and stream
  • Use the water balance chart to determine groundwater fluxes to the well and stream.