Groundwater & Well Hydraulics on the PE WRE Exam: Theis and Dupuit Walkthrough
Theis transient drawdown and Dupuit unconfined steady-state for the PE Civil WRE exam — two worked NCEES-style problems plus the Theis well-function reference table.
Well-hydraulics problems on the PE Civil Water Resources & Environmental exam blend tidy physics (Darcy's law in radial coordinates) with messy curve-fitting from real field data. The pain point most candidates report is the same: under time pressure, it's easy to grab the wrong equation. Theis is for transient drawdown in a confined aquifer; Dupuit is for steady-state pumping in an unconfined aquifer; Thiem is for steady-state confined; Cooper–Jacob is just a small-u simplification of Theis. Pick the wrong one and the answer family is wrong before any arithmetic.
Groundwater is also one of the topics where the NCEES PE Civil Reference Handbook does most of the heavy lifting if you can find what you need. The Theis well-function tabulation, the Dupuit equation, the Cooper–Jacob approximation, and the radial-flow assumptions are all reproduced. The formulas themselves are right there in the handbook; the skill the exam tests is recognizing which regime applies to the problem in front of you, then plugging the right inputs into the right equation in the right units.
Why groundwater & wells matters on the PE WRE exam
Per the April 2024 NCEES PE Civil WRE specification, Topic 8 (Groundwater and Wells) carries 4–6 questions out of 80. That makes it a smaller block than open-channel hydraulics or hydrology, but well-hydraulics questions tend to be calculation-heavy and reward candidates who have practiced the radial-flow setup specifically. A confident 4-of-6 here is meaningful margin on a pass-or-fail exam.
Beyond the direct Topic-8 questions, well hydraulics shows up indirectly in a couple of places. Drinking-water treatment problems often start with a well source — you need to verify the well can deliver the design flow at sustainable drawdown before you size a treatment train. Hydrology questions about base flow and stream-aquifer interaction draw on the same Darcy-law fundamentals. Mastering Topic 8 also unlocks better instincts on those adjacent questions.
What the exam tests
At a high level, the exam tests whether you can analyze flow to a well and the drawdown it produces — distinguishing confined from unconfined aquifers and steady from transient conditions. The relationships are short; the test is matching the right one to the aquifer and pumping conditions the question describes.
Here are a couple of the problem types you'll face. The honest test: could you carry each one all the way to a defensible answer, in about six minutes, on exam day?
Worked example 1 — Theis transient drawdown. A fully penetrating well in a confined aquifer pumps at Q = 0.1 ft3/s. The aquifer transmissivity is T = 1,000 ft2/day and storage coefficient is S = 5 × 10−4. Compute the drawdown at an observation well 100 ft from the pumping well after t = 1 day of continuous pumping.
Solution path: Cooper–Jacob check → Apply the Theis equation.
The PEwise PE Water Resources course works problems like this end to end on video, with every intermediate value and a recap of the common slips.
Worked example 2 — Dupuit unconfined steady pumping. A fully penetrating well in an unconfined aquifer pumps at Q = 100 gpm under steady-state conditions. Hydraulic conductivity K = 50 ft/day. Initial saturated thickness h0 = 50 ft. The radius of influence is estimated at R = 1,000 ft, and the well radius is rw = 0.5 ft. Compute the steady-state water level at the well face and the drawdown at the well.
The PEwise PE Water Resources course works problems like this number by number on video, including the checks that keep you off the wrong answer choices.
The full methods behind these — the relationships, the procedures, and the mistakes that quietly cost points — are taught step by step in PEwise's PE Water Resources course, with animated worked problems rather than a wall of formulas.
See the Cone of Depression Animated
PEwise's PE WRE course walks through Theis, Dupuit, and image-well superposition with the cone-of-depression evolving in real time on the screen — once you can SEE radial drawdown, the equations stop feeling abstract.
Connecting this to your overall PE WRE exam strategy
Topic 8 (Groundwater and Wells) sits between Topic 5/6 (Hydraulics — Closed Conduit and Open Channel) and Topic 9 (Surface Water and Groundwater Quality). Once well hydraulics is automatic, you'll recognize the radial-flow framing in contaminant-transport problems, well-source sizing for drinking water, and stream-aquifer interaction in hydrology. For the full WRE topic blueprint, our PE WRE exam topics breakdown walks all 12 topic areas. For the drinking-water treatment side — where well sources feed disinfection and CT-value calculations — see the drinking-water treatment and disinfection post.
Master Well Hydraulics with PEwise
PEwise's Module 13 (Groundwater Flow) of the PE WRE course covers Theis transient drawdown, Dupuit unconfined steady-state, image-well superposition, and the cone-of-depression analysis NCEES tests — in 13 lessons with worked NCEES-style problems and detailed reference citations. Course author Mahdi Bahrampouri, Ph.D., Geotechnical Earthquake Engineer, built the curriculum directly against the NCEES PE Civil Reference Handbook §6.6 and the original USGS groundwater publications (Theis 1935; Dupuit–Forchheimer assumption).
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