18-Env-A3 Geotechnical and Hydrogeological Engineering · May 2015
Nivaar worked solution (AI-drafted; not reviewed by a licensed engineer)
National Exams — May 2015 — 04-Env-A3 / Geotechnical & Hydrogeological Engineering. 3 hours duration; open book exam, any non-communicating calculator permitted. The first five questions as they appear in the answer book are marked (20 marks each, 100 marks total); all six are solved below for completeness.
Reference texts. Braja M. Das, Principles of Geotechnical Engineering (9th ed.) — weight–volume relations, USCS classification, seepage/flow nets, slope-stability and stress-distribution chapters; Craig & Knappett, Craig's Soil Mechanics (8th ed.) — flow-net construction and Taylor's stability-number method; Freeze & Cherry, Groundwater (1979) — Darcy's law and the Dupuit–Thiem equation for radial flow to a well.
Question text not reproduced: the examination questions are © Engineers and Geoscientists BC. Open the official past paper (linked at the top of this page) to read the question, then follow the worked solution below.
Given.
| Quantity | Symbol | Value |
|---|---|---|
| Percent passing #200 sieve (0.075 mm) | fines % | ≈ 20% |
| Percent passing #4 sieve (4.75 mm) | — | ≈ 97% |
| Liquid limit | $LL$ | 40% |
| Plastic limit | $PL$ | 30% |
Find. (a) USCS group symbol and group name; (b) suitability of this soil as landfill cover.
Approach. Split the coarse/fine and sand/gravel fractions from the curve, compute the plasticity index, and route through the USCS flow chart (coarse-grained, more than 12% fines → classify the fines by the plasticity chart).
(b) A silty SAND (SM) with only 20% fines is comparatively permeable — typical values for an SM soil run roughly $10^{-4}$ to $10^{-6}\ \text{cm/s}$, several orders of magnitude above the $\le10^{-7}\ \text{cm/s}$ usually specified for a low-permeability FINAL cap, so on its own it would let too much precipitation infiltrate and generate leachate if used as a final cover without a compacted clay liner or geomembrane. The same properties make it well suited to DAILY or INTERMEDIATE cover, however: it compacts and handles easily, drains fast enough to avoid ponding and odour/vector nuisance, and retains just enough fines to hold together, resist erosion and support vegetation on an intermediate-cover slope.
| Quantity | Value |
|---|---|
| Fines / Sand / Gravel | 20% / 77% / 3% |
| Plasticity index, $PI$ | 10% |
| A-line $PI$ at $LL=40\%$ | 14.6% (soil plots below it) |
| (a) USCS group | SM — Silty Sand |
| (b) Cover suitability | Not suited to a low-permeability final cap; well suited to daily/intermediate cover |