12:166, Zhang

Spring, 2002

Lecture on

Natural Groundwater Flow

· Steady Flow in a Confined Aquifer

· Mathematical Model:

· Solutio

· Note: The hydraulic head is linear function of x.

· Steady Flow in an Unconfined Aquifer

· Dupuit assumptions: (1) the hydraulic gradient is equal to the slope of the water table;

(2) the flow is horizontal.

· Mathematical Model:

·

Solution:

· Note: The hydraulic head is a parabolic function of x.

· Steady Flow in an Unconfined Aquifer with a Uniform Recharge Rate

· Mathematical Model:

·

Solution:

· The location of the divide:

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Reading: Section 4.13 – 4.14 of the text (p.138 - 146).

Homework: Problems 10, 12, 14, and 16 of Chpt. 4 (p.148-149). Due on March 1

Optional homework on the back. Also due on March 1 if you want us to correct it

Optional Homework

(We will correct it if you submit it before or on Fri., March 1.

No bonus for this optional homework)

1. A. Under what assumptions can groundwater flow be described by the following mathematical model?

h(0) = h₁

h(L) = h₂

B. Solve about equation with the boundary conditions.

2. A. Under what assumptions can groundwater flow be described by the following mathematical model?

h(0) = h₁

h(L) = h₂

B. Solve about equation with the boundary conditions.

3. A. Under what assumptions can groundwater flow be described by the following mathematical model?

h(L) = h₂

B. Solve about equation with the boundary conditions