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NRCS Curve Number Runoff

SCS / NRCS curve number method (TR-55) for computing runoff depth and volume from a design storm. The standard hydrologic-loss method for stormwater design across the US.

in (24-hr design storm)
— (40 to 98)
Ia/S
acres
in
in
in
acre-ft
ft³

Defaults: 3.5 in (typical 25-year, 24-hr in mid-Atlantic), CN = 75 (suburban residential, B soils), 10-acre site.

Potential maximum retention:
$$ S = \frac{1000}{CN} - 10 \quad (\text{inches}) $$
Initial abstraction:
$$ I_a = \lambda \, S, \qquad \lambda = 0.2 \text{ (classic) or } 0.05 \text{ (modern)} $$
Runoff depth (when P > Ia):
$$ Q = \frac{(P - I_a)^2}{P - I_a + S} $$
P total rainfall depth · S potential maximum retention after runoff begins · Ia initial abstraction (depression storage, interception, infiltration before runoff starts) · CN NRCS curve number · Q direct runoff depth.

Curve number guidance (TR-55 Table 2-2)

CN depends on land cover, hydrologic soil group (A/B/C/D), and antecedent runoff condition (ARC II is standard). Sample values for ARC II:

For mixed-cover watersheds, compute area-weighted composite CN: CNw = Σ(CNi × Ai) / Σ(Ai). Same approach as composite C in the Rational Method.

Hydrologic soil group quick guide

Site-specific soil group from NRCS Web Soil Survey: websoilsurvey.nrcs.usda.gov. The default for design when soils data is missing is usually Group C or D depending on regulator.

Initial abstraction: 0.2 vs 0.05

The classic NRCS method assumes Ia = 0.2 S — a coefficient set in the 1950s based on a small data set. More recent analysis (Hawkins et al. 2002, NRCS NEH-630 ch. 10, 2017) found Ia/S is closer to 0.05 on most watersheds.

Switching from λ = 0.2 to λ = 0.05 increases runoff depth at low rainfall events significantly. For a 1-inch storm on CN = 75, λ = 0.2 gives Q = 0.04 in; λ = 0.05 gives Q = 0.31 in (8× higher). The two methods converge at higher rainfall depths.

Most US regulatory agencies still require λ = 0.2 for stormwater design. NRCS-published documentation generally uses 0.05 for current research. Use 0.2 unless you're certain your reviewer accepts 0.05.

From runoff depth to peak flow

This calculator gives total runoff depth and volume. To convert to a peak flow rate, you need a hydrograph method:

For a quick check on small watersheds, the Rational Method calculator gives a peak flow without the depth/volume — but it doesn't match what NRCS produces because the assumptions differ.

Reference: USDA NRCS (1986). Urban Hydrology for Small Watersheds (TR-55). Hawkins, R.H., et al. (2002). "Runoff Curve Number Method: Examination of the Initial Abstraction Ratio." EWRI World Water and Environmental Resources Congress 2002.

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