17.5. Soil Matrix Problem with Percolation

Try these first

1. 1.

   What is the condition for assuming incompressible flow?

   Hint

   Think about the relationship between velocity and density.

2. 2.

   Define hydraulic conductivity.

   Hint

   Consider how quickly water flows through soil.

3. 3.

   What assumption allows us to treat fluid flow as incompressible?

   • When Mach number is less than 0.3
   • When velocity is constant
   • When density is variable

   Hint

   Think of speed and sound in relation to density.

4. 4.

   True or False: Hydraulic conductivity refers to how easily water can move through air.

   • True
   • False

   Hint

   Consider what materials hydraulic conductivity pertains to.

5. 5.

   Given that a tank is being filled through two inlets with inflows of 0.1 L/sec each, and an outlet of 0.05 L/sec, find the rate of change in height as a function of time assuming a cylindrical tank with a diameter of 1 meter.

   Hint

   Utilize the formula for volume and understand the relationship to height.

6. 6.

   Calculate the percolation rate of water in a soil matrix when given a hydraulic conductivity of 0.1 m/s and a storage change of 5 m³.

   Hint

   Think about how hydraulic conductivity interacts with both storage and movement of water.