Posted by Wilson on Monday, March 23, 2009 at 10:20am.
Estimate the velocity of the groundwater flowing from a point 1000 feet from a creek. The point is 30 feet above the surface of the creek and the permeability of the subsurface is approximately 105. Approximately how long would it take the groundwater to reach the creek?

Math  bobpursley, Monday, March 23, 2009 at 10:28am
Isn't this Darcy's law?

Math  Reiny, Monday, March 23, 2009 at 10:28am
I would seem to me that the velocity would be a function of many factors, including the height above the surface, the distance from the creek and the "permeability" of the subsurface, as seen in the data that you show.
You do not state how these are related and connected, and it would be unreasonable to expect anybody here to be familiar with such a topic.
Are they stated in the problem?

Math  drwls, Monday, March 23, 2009 at 10:34am
Darcy's law for the volume flow rate is explained at:
http://biosystems.okstate.edu/Darcy/LaLoi/Basics.htm
For the velocity, you also need to know the porosity

Math  Reiny, Monday, March 23, 2009 at 10:48am
bobpursley and drwls,
how presumptuous of me to assume that nobody would be familiar with this.
I forgot that you are engineering and physics experts.
This simple "numbercruncher" says sorry.

Math  drwls, Monday, March 23, 2009 at 11:10am
No problem. I'm a presumptuous math contributor. :)
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