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18-Env-A2 Hydrology and Municipal Hydraulics Engineering · May 2015

Question 6 of 7: Stormwater Ponds and IDF-Based Peak Runoff Design

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

Notes on this paper

National Exams — May 2015 — 04-Env-A2 / Hydrology and Municipal Hydraulics Engineering. 3 hours duration; closed book with a candidate-prepared 8.5×11 in double-sided aid sheet; Casio or Sharp approved calculator only. Any five questions constitute a complete paper (only the first five answers as they appear in the work book are marked); all seven are solved below for completeness. Each question ("Problem") is worth 20 marks, with sub-part weights shown in brackets.

Reference texts. Chow, Open-Channel Hydraulics; Linsley, Kohler & Paulhus, Hydrology for Engineers (3rd ed.); Walski et al., Advanced Water Distribution Modeling and Management; Davis & Cornwell, Introduction to Environmental Engineering (6th ed.); Metcalf & Eddy, Wastewater Engineering: Treatment and Resource Recovery (5th ed.).

Problem 6: Stormwater Ponds and IDF-Based Peak Runoff Design (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.

(i) Purpose and Design Basis of a Stormwater Dry Pond

A dry pond temporarily detains stormwater runoff during a storm and releases it slowly afterward through a small controlled outlet, standing empty between events. Its purpose in controlling downstream erosion is peak-rate attenuation: by storing the rising limb of the inflow hydrograph and metering the outflow, the pond reduces the peak discharge delivered downstream to (or below) a target rate — typically the pre-development peak — preventing the erosive, scouring peak velocities that an unattenuated developed-condition peak would otherwise cause in the receiving channel. The key design basis is storage–indication (level-pool) routing: the pond's stage–storage and stage–discharge relationships are combined with the design inflow hydrograph to size the storage volume needed so the routed peak outflow meets the downstream target rate, with an emergency spillway sized for storms beyond the design event.

(ii) Wet Pond Maintenance and Operations (25-Year Design Life)

Three important recurring maintenance/operational activities keep a wet pond's effluent total suspended solids (TS) consistently low over its 25-year design life. (1) Periodic sediment (forebay) removal. Accumulated sediment in the inlet forebay and main pool progressively reduces the pond's effective permanent-pool volume and detention time; scheduled dredging/dewatering (typically every 5–15 years, or sooner if a bathymetric survey shows the forebay has filled) restores the design detention time and settling performance. (2) Vegetation and buffer management. Mowing/maintaining the littoral (aquatic bench) and buffer vegetation controls resuspension from wave action and wildlife, maintains the intended flow path length (preventing short-circuiting), and prevents woody growth from compromising the embankment or outlet structure. (3) Inlet/outlet structure inspection and debris removal. Regular inspection of the inlet energy dissipator, the submerged outlet riser/orifice and the emergency spillway for clogging, erosion or structural damage ensures the pond continues to route flow through its designed detention path (rather than short-circuiting or bypassing) and prevents an uncontrolled release of previously-settled solids during a subsequent storm.

(iii) Composite Rational Method — Catchments A1 and A2

Given. Two catchment areas, each with its own runoff coefficient and time of concentration:

Given data
AreaA (ha)Ct (min)
A1300.870
A2400.680
Check: the supplied IDF chart's intensity axis is in inches/hour (as printed); readings are converted to mm/hr ($\times25.4$) before use in the SI Rational Formula. The $T=100$-year curve is read directly at each area's own duration ($t=70$ min for A1, $t=80$ min for A2) by tracing the printed curve — no extrapolation is needed since both durations fall inside the plotted 15–120 min range.

Find. The 100-year peak design discharge for each catchment and for the combined design point, in m³/min.

Approach. Read the $T=100$ intensity off the IDF chart at each area's own time of concentration, convert to mm/hr, then apply $Q=CiA/360$ to each area and sum for the combined peak.

Duration, t (min) Intensity, i (in/hr) 0 60 120 10 0 T = 100 yr curve t=70, i=3.02 in/hr (A1) t=80, i=2.78 in/hr (A2)
T=100-year IDF curve (digitized directly from the printed chart) with the two design points read at each catchment's own time of concentration.
  1. Read the 100-year intensities. Tracing the printed $T=100$ curve directly: $i_{70}=3.02$ in/hr at A1's $t_c=70$ min, $i_{80}=2.78$ in/hr at A2's $t_c=80$ min. Converting: $$i_{A1}= 3.02\times25.4 = \boxed{76.8\ \text{mm/hr}}, \qquad i_{A2}=2.78\times25.4=\boxed{70.6\ \text{mm/hr}}.$$
  2. Peak discharge, catchment A1. $$Q_1 = \frac{C_1i_{A1}A_1}{360} = \frac{(0.8)(76.8)(30)}{360} = 5.12\ \text{m}^3/\text{s} = \boxed{307\ \text{m}^3/\text{min}}.$$
  3. Peak discharge, catchment A2. $$Q_2 = \frac{C_2i_{A2}A_2}{360} = \frac{(0.6)(70.6)(40)}{360} = 4.71\ \text{m}^3/\text{s} = \boxed{283\ \text{m}^3/\text{min}}.$$
  4. Combined design peak. With each area's own routing time already reflected in its own $t_c$, the combined 100-year peak at the common downstream point is $$Q_{tot}=Q_1+Q_2 = 5.12+4.71 = 9.83\ \text{m}^3/\text{s} = \boxed{589.6\ \text{m}^3/\text{min}}.$$
QuantityValue
$i_{100}$ at A1 ($t_c=70$ min)76.8 mm/hr (3.02 in/hr)
$i_{100}$ at A2 ($t_c=80$ min)70.6 mm/hr (2.78 in/hr)
Peak discharge, A1307.0 m³/min (5.12 m³/s)
Peak discharge, A2282.5 m³/min (4.71 m³/s)
Combined 100-year peak589.6 m³/min (9.83 m³/s)