Exercise 24

Suppose that a source of contaminant is introduced to the up-gradient end of a column filled with sand in a hydrogeology laboratory. If the source is maintained at a continuous concentration of 1000 mg/L, 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 cylinder is 10 cm.

What will the concentration be at:

(a) 25 cm after 1000sec?

(b) 50 cm after 1000sec?

(c) 75 cm after 1000sec?

  1. Do the answers you obtained make sense? Why, or why not?
  2. Would you expect measurements of concentrations in plumes in a field setting to produce the values you calculated? Why, or why not?

License

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

Share This Book