Thiem / Dupuit Confined Well

Q = \frac{2 π k b ( h _{2} - h _{1} )}{ln ( r _{2} / r _{1} )}

Steady radial flow to a pumping well in a confined aquifer of thickness b. Unconfined Dupuit uses kπ(h2²−h1²)/ln(r2/r1). Drawdown s=H−h.

Step-by-step solved example

k=1e-4 m/s, b=20 m, h=18 m at 50 m, h=12 m at 10 m. Q?

Radial drawdown cone to a pumping well (Thiem).

Answer: Q ≈ 0.047 m³/s

0/10 correct

1.Unconfined Thiem/Dupuit replaces b(h2−h1) with

2.T transmissivity is

3.If r2/r1=e, ln=

4.Darcy’s law is the local basis: q=

5.Radius of influence R is

6.Storativity S appears in

7.k=10^{-5} m/s is typical of

8.Two observation wells are needed to

9.Pumping increases drawdown at r=rw the most because

10.Confined b=10 m, k=2e-4, Δh=4 m, ln(r2/r1)=2: Q=