Hydraulic Head Across Aquifers (Easy)

This following is an updated model that is a bit of an easier problem for students. The original model made students estimate thickness of the aquifer and you had to change units from cm/sec to m/day. It also had such high conductivity aquifer units that the water table was basically flat. If you want to really challenge students try the other version. However, if you want to easy students into the concepts of Darcy’s law and how to rearrange the equation try this version.

Objectives: Determine the hydraulic head across an aquifer system with two distinct hydraulic conductivities.

1. As water flow from one aquifer to another aquifer with differing hydraulic conductivities there must be a change in hydraulic head or a change in discharge.  In the problem below, we are going to assume that water flow from Well A to Well C, through a two-aquifer system.  Both aquifers are confined by an upper shale unit and the discharge (Q) through the aquifers is 0.02 m3/day.   Using the foldable aquifer model address the following problems.

A. Determine the hydraulic head in Well B. 

B.  Determine the hydraulic head in Well C.

C.  Identify if the aquifer at Well C is confined or unconfined based on the water level in the well.

Creative Commons License

Classic Transmissivity Problem

The following problem is a classic homework assignment that I first saw when taking classes at Iowa State University.  While it has been adapted here into a three dimensional foldable aquifer model the basic problem is still the same.
The purpose of this problem is to investigate how hydraulic conductivity and aquifer thickness are related.  After folding the aquifer the equipotential lines on the top of the model are meant to represent the the total head in the aquifer for both the Sand/Gravel aquifer of uniform thickness and the gravel aquifer of variable thickness on the paper model.  The horizontal scale, which needs to be used to determine they hydraulic gradient is given in the lower right hand corner of the model on the Sand/Gravel aquifer side.  
Please remember the goal here is to have something that is useful but at the end of the day this is still a model (See Box quote)

 The problem is given below:
1. Your boss gives you a potentiometric surface map of an aquifer (Figure A) and tells you that some tests have shown that the total discharge (Q) through the aquifer is 1,400,000 GPD.  She also tells you that the effective porosity of the aquifer is 0.25.  You are also given two conceptual models of what may be going on in the aquifer (Figure B, and C).  Based on this information your boss wants you to answer the following questions.
A.    What is the transmissivity of the gravel of the Sand/Gravel aquifer?


B.    What is the transmissivity of the sand of the Sand/Gravel aquifer?


C.   What is the transmissivity of the thick portion of the Gravel only aquifer?


D.   What is the transmissivity of the thin portion of the Gravel only aquifer?


E.    What is the specific discharge for the thick portion of the Gravel only aquifer?


F.    What is the specific discharge for the thin portion of the Gravel only aquifer ?


G.   What is the average linear velocity for the thick portion of the Gravel only aquifer?


H.   What is the average linear velocity for the thin portion of the Gravel only aquifer?

Creative Commons License


This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.