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18-Env-A3 Geotechnical and Hydrogeological Engineering · May 2015

Question 5 of 6: USCS Classification and Landfill Cover Suitability

Nivaar worked solution (AI-drafted; not reviewed by a licensed engineer)

Notes on this paper

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 5: USCS Classification and Landfill Cover Suitability (20 marks)

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.

Given data (read from the grain-size distribution curve and Atterberg limits)
QuantitySymbolValue
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.

0.0010.010.1110100020406080100Grain size (mm)% finer#200#4
Fig. Q5 — grain-size distribution curve, with the #200 and #4 sieve readings marked.

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).

  1. Grain-size fractions. Fines (passing #200) $=20\%$; coarse fraction $=100-20=80\%$ ($\ge50\%\Rightarrow$ coarse-grained soil). Of the coarse fraction, gravel (retained on #4) $=100-97=3\%$ and sand $=97-20=77\%$; sand $>$ gravel, so the base symbol is S.
  2. Plasticity of the fines. $PI=LL-PL=40-30=10\%$. The A-line at $LL=40\%$ gives $$PI_A=0.73(LL-20)=0.73\times20=14.6\%.$$ Since fines $=20\%>12\%$, classify directly by the plasticity chart: $PI=10
  3. Group symbol and name. Coarse-grained, sand-dominant, more than 12% silty fines below the A-line with $LL<50\%$: $$\boxed{\text{SM}\ \text{--}\ \text{Silty Sand}}$$ (gravel content is only 3%, well under the 15% threshold for a "with gravel" modifier).

(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.

QuantityValue
Fines / Sand / Gravel20% / 77% / 3%
Plasticity index, $PI$10%
A-line $PI$ at $LL=40\%$14.6% (soil plots below it)
(a) USCS groupSM — Silty Sand
(b) Cover suitabilityNot suited to a low-permeability final cap; well suited to daily/intermediate cover