Exercise 25

Suppose a mass of 1000 mg is introduce in the center of a large tank of sand in a hydrogeology laboratory with uniform, one-dimensional, flow moving through the tank. The hydraulic conductivity is 0.1 cm/sec, effective porosity is 0.2, the dispersivity in the x direction is 5 cm, dispersivity in the y direction is 1/5 of the dispersivity in the x direction, dispersivity in the z direction is 1/10 of the dispersivity in the x direction, and the head drop across the 100 cm long tank is 10 cm.

What will the concentration be at:

(a) 25 cm after 1000sec?

(b) the center of mass of the plume after 1000sec?

(c) a point that is 10 cm to the left and 5 cm below the center of mass of the plume after 1000sec?

  1. Why is the concentration at 25 cm from the source so different for Exercise 24 part (a) and this exercise part (a)?
  2. Would you expect measurements of concentrations in plumes in a field setting to produce the values you calculated? Why, or why not?

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Basic Hydrogeology: An Introduction to the Fundamentals of Groundwater Science Copyright © 2025 by Matthew M. Uliana. All Rights Reserved.

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