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SCS Curve Number & Runoff

Source file: scs_runoff.html

Purpose

Estimates the direct runoff depth resulting from a given total rainfall depth, based on the watershed's soil/land-cover characteristics, using the SCS (NRCS) Curve Number method.

Governing Equations

Direct runoff depth:

Q = (P − 0.2S)² / (P + 0.8S)      [valid only when P > 0.2S; otherwise Q = 0]

Potential maximum retention:

S = (25400 / CN) − 254        (metric form, S and P in mm)

Initial abstraction:

Ia = 0.2 × S

Where: - P — total storm rainfall depth (mm) - CN — SCS Curve Number (0–100), representing runoff potential based on soil group, land use, and antecedent moisture condition - S — potential maximum retention after runoff begins (mm) - Ia — initial abstraction (interception, depression storage, and infiltration before runoff starts) — standard SCS assumption sets Ia = 0.2S - Q — direct runoff depth (mm)

Inputs

Input Symbol Notes
Total rainfall depth P mm
Curve Number CN Selected from preset dropdown:
• Paved parking lots/roofs: CN = 98
• Residential-urban/clay soils: CN = 80
• Cultivated agricultural land: CN = 70 (default)
• Forest/woodlands: CN = 55

Solution Method

Direct (non-iterative) calculation: 1. Compute S from CN using the metric formula. 2. Compute Ia = 0.2 × S. 3. If P > Ia, compute Q using the runoff equation; otherwise Q = 0 (all rainfall is absorbed by initial abstraction — no runoff generated).

Outputs

Limitations