18-Env-B7 Environmental Sampling and Analysis · May 2018
Nivaar worked solution (AI-drafted; not reviewed by a licensed engineer)
National Exams, May 2018 — 04-Env-B7, Environmental Sampling and Analysis (3 hours, closed book, approved non-programmable calculator only, statistical tables provided). The paper instructs "answer all 5 questions"; this solution answers all 5 in full.
Reference texts: Walpole, Myers, Myers & Ye, Probability & Statistics for Engineers and Scientists (sampling designs, hypothesis tests, EDA, ANOVA); Davis & Cornwell, Introduction to Environmental Engineering, ch. 2 (sampling protocol, QA/QC, monitoring program design).
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.
As a representative, fully worked example (this is an open, experience-based question; marks are awarded for thoroughness across every listed point), consider a receiving-water quality monitoring program downstream of a municipal wastewater treatment plant (WWTP) outfall on a mid-sized river, run to satisfy an EGBC-jurisdiction environmental discharge permit.
Objectives. The short-term objective was to verify that the WWTP's effluent, once mixed into the receiving water, does not cause an exceedance of the provincial water quality guidelines for the designated uses of the river (aquatic life, primary-contact recreation, drinking-water source protection) in the immediate mixing zone and at the edge of an approved dilution zone. The long-term objective was to detect any gradual trend — improving or degrading — in receiving-water quality over multiple years, to support the plant's ongoing permit renewal and any future upgrade decisions, and to build a defensible baseline against which future land-use or flow changes in the watershed could be assessed.
What was sampled and how. Surface-water grab samples were collected at a fixed upstream (reference) station, at the outfall's edge-of-mixing-zone station, and at a downstream compliance station, each mid-channel at a consistent 0.5 m depth using a Van Dorn-type sampler. Field parameters (temperature, pH, dissolved oxygen, conductivity, turbidity) were measured in situ with a calibrated multi-probe meter at the time of collection; laboratory samples (nutrients, metals, bacteria, BOD₅) were preserved per standard protocol and shipped on ice to an accredited laboratory within the analyte-specific holding time.
Sampling design and frequency. A fixed-station, stratified-by-flow-condition design was used: routine monthly sampling at all three stations, supplemented by event-based sampling during and immediately after significant storm events (when combined-sewer or stormwater inputs are most likely to affect water quality) and during summer low-flow conditions (when dilution of the effluent is lowest and impact is most likely to be detectable). This was optimized over the program's first year by discontinuing a fourth station found to be statistically indistinguishable from the upstream reference station, redirecting that effort into more frequent low-flow sampling.
Sample size and period. Twelve routine monthly rounds per year at three stations (36 routine samples/year), plus roughly 6–8 supplementary storm-event samples per year, sustained over a 5-year permit cycle — giving on the order of 200–250 samples per parameter by the end of the monitoring period, sufficient to characterize both seasonal cycles and inter-annual trends.
Statistical hypotheses. The primary compliance hypothesis at each downstream station was $H_0:$ mean downstream concentration $\le$ the applicable water quality guideline, tested each round against the regulatory limit. A second hypothesis compared the downstream station against the upstream reference station, $H_0:\mu_{downstream}=\mu_{upstream}$, to isolate the plant's incremental effect from natural background/watershed variability. A third, longer-horizon hypothesis tested for a monotonic trend over time at each station, $H_0:$ no trend (slope $=0$).
Statistical analyses. Upstream-vs-downstream comparisons used a two-sample t-test (or its nonparametric analogue, the Mann–Whitney U test, given the typically right-skewed concentration data) at each round; seasonal effects were assessed with a one-way ANOVA across sampling months; long-term trend detection used the Mann–Kendall trend test with Sen's slope estimator, chosen specifically because it is robust to the non-normality, censored (below-detection) values, and seasonality typical of water-quality time series, rather than ordinary linear regression.
Laboratory analyses. Nutrients (total phosphorus, total Kjeldahl nitrogen, ammonia-N, nitrate/nitrite) by standard colorimetric/instrumental methods; metals (total and dissolved, e.g. Cu, Zn, Pb) by ICP-MS; five-day biochemical oxygen demand (BOD₅) and total suspended solids by Standard Methods; E. coli/fecal coliform by membrane filtration for the recreational-use assessment.
Standards compared against. Results were compared against the applicable provincial water quality guidelines for the designated uses (aquatic life, recreation, drinking-water source protection) and against the specific numeric limits in the WWTP's discharge permit; laboratory QC results were compared against CALA/ISO 17025 accreditation acceptance criteria.
Other relevant issues. Seasonal ice cover limited winter access at some stations and required a modified under-ice sampling protocol; flow normalization was needed to separate dilution effects from true loading changes, using continuous flow data from a nearby gauging station; and a formal QA/QC program (field/trip/equipment blanks, field duplicates, chain-of-custody) ran throughout to ensure the compliance conclusions were legally defensible.