24-MMP-B4 Mine Ventilation and Occupational Hygiene · May 2013
Question 1 of 6: Accident Causation and Exposure-Limit Compliance
Nivaar worked solution (AI-drafted; not reviewed by a licensed engineer)
Notes on this paper
National Exams (BC), 09-MMP-B4 Occupational Health, Safety and Loss Management
(Mine Ventilation and Occupational Hygiene), May 2013, 3 hours, open book with calculator
permitted. Answer any five of the six questions; every question (1-6)
is answered in full as a complete study resource.
Reference texts: Crowl & Louvar, Chemical Process Safety:
Fundamentals with Applications, 4th ed.; ACGIH, TLVs and BEIs and
Industrial Ventilation: A Manual of Recommended Practice; OSHA 29 CFR 1904
Recordkeeping; WorkSafeBC/BC Health, Safety and Reclamation Code for Mines.
Question 1: Accident Causation and Exposure-Limit Compliance (20 marks)
Part (a) — An accident process is the causal
chain of events that begins with a root cause embedded in the organisation or the
individual and ends in an unwanted loss (injury, damage, or a near-miss). Heinrich's
domino model (still the clearest teaching device for this) resolves the chain into a
short sequence of dominoes; for exam purposes this collapses to three main
steps:
Step 1 — Root cause / unsafe condition or act. A pre-existing
deficiency (poor training, a missing guard, time pressure, complacency) produces an
unsafe act by a person or an unsafe physical condition in the workplace. This step
creates the potential for loss but has not yet released any energy or hazardous
material.
Step 2 — Triggering event (the accident itself). The unsafe
act/condition combines with an immediate trigger and an uncontrolled release of energy,
material, or motion occurs — the instant of loss of control.
Step 3 — Consequence / loss. The released energy contacts a
person or asset and produces the injury, illness, or property damage (or, if no contact
occurs, a recorded near-miss).
Example. A forklift operator is under schedule pressure and has not
been re-certified (Step 1, root cause: inadequate training/supervision, an unsafe
condition). The operator takes a blind corner too fast in a congested aisle (Step 2,
triggering event: loss of control of the vehicle). The forklift strikes a pedestrian
stepping out from a cross-aisle (Step 3, consequence: injury). Removing any single
domino — recertifying the operator, installing a corner mirror/pedestrian barrier,
or simply routing pedestrian traffic away from the aisle — would have interrupted
the sequence before the loss occurred.
Fig. 1a — Heinrich's domino sequence collapses to the three
exam-answer steps: root cause → triggering event → consequence.
(b) TLV-TWA / STEL compliance check
Part (b) —
Given. Ten spot concentration readings across the 8:10 AM–5:00
PM monitoring window (table above); TLV-TWA = 100 ppm; STEL = 200 ppm.
Find. Whether the worker's exposure exceeded the TLV-TWA and/or the
STEL.
Approach. Treat each reading as representative of the interval since
the previous sample (a standard industrial-hygiene time-weighting convention for
periodic spot samples), compute the exposure-weighted average over the monitored period,
and separately compare the single highest reading against the STEL (an independent
15-minute-scale ceiling, not captured by the TWA).
Weight each reading by its time interval. For reading $i$ taken
$\Delta t_i$ minutes after the previous one: $$C_i\,\Delta t_i$$ e.g. the 9:05 AM
reading (150 ppm) is held for the 55 minutes since 8:10 AM, contributing
$150\times55=8250$ ppm·min; the 2:03 PM reading (250 ppm) is held for the 43
minutes since 1:20 PM, contributing $250\times43=10750$ ppm·min. Summing all
nine intervals: $$\sum C_i\,\Delta t_i = 92885\ \text{ppm}\cdot\text{min}$$
Divide by the total monitored time. The window spans 8:10 AM to
5:00 PM $=530$ minutes ($\approx8.83$ h):
$$TWA=\frac{\sum C_i\,\Delta t_i}{\sum \Delta t_i}=\frac{92885}{530}=\boxed{175.3\ \text{ppm}}$$
Compare to the TLV-TWA. $175.3\ \text{ppm} > 100\ \text{ppm}$
— the time-weighted average exceeds the TLV-TWA by roughly
75%.
Check the STEL independently. The STEL is a 15-minute ceiling, not
a period average, so it is checked against the single worst reading rather than the
TWA: the 2:03 PM reading of $\boxed{250\ \text{ppm}}$ exceeds the 200 ppm STEL on its
own.
Quantity
Value
Limit
Verdict
Time-weighted average (8:10 AM–5:00 PM)
175.3 ppm
TLV-TWA 100 ppm
EXCEEDED
Peak spot reading (2:03 PM)
250 ppm
STEL 200 ppm
EXCEEDED
Both checks fail independently, so the worker's exposure is non-compliant on two
separate grounds: the shift-average dose is too high, and there was at least one
short-term excursion well above the ceiling. Either finding alone would already require
corrective action (engineering controls or respiratory protection) before the area is
re-entered.
Check: assumes each spot reading is representative of the interval
since the prior sample (a standard convention for periodic, not continuous, monitoring);
a continuous logger would give a slightly different but qualitatively identical
verdict, since the readings driving both exceedances (175, 250, 220 ppm) span more than
enough of the shift to dominate either weighting scheme.