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Rational Method

Computes peak stormwater runoff discharge using the rational method formula Q = C*I*A/360, where C is the runoff coefficient, I is the design rainfall intensity, and A is the catchment area. Applicable to small catchments up to 80 hectares per ARR and HEC-22, widely used for sizing drainage infrastructure in urban and rural settings.

inputs

3 fields

context

5 archetypes

engine

with-tool

outputs

2 scored fields

contract fields

Parameter Map

3 inputs to 2 scored outputs

  • runoff_coefficient

    floatfrom archetypehidden in hard

    Runoff coefficient C (dimensionless)

    0.1 to 0.95-

  • rainfall_intensity_mm_hr

    float

    Design rainfall intensity I

    10 to 300mm/hr

  • catchment_area_ha

    float

    Catchment area A

    0.1 to 80ha
peak_runoff_m3_stol 0.03

Peak runoff Q (m³/s)

peak_runoff_l_stol 0.03

Peak runoff Q (L/s)

visibility contract

Difficulty Ladder

all_giveneasy

Small catchment, moderate intensity — straightforward application of Q = CIA / 360

all fields visible
all_givenmedium

Larger catchment with higher intensity — same formula, bigger numbers

all fields visible
partialhard

Runoff coefficient hidden — agent must infer C from site description

runoff_coefficient

scenario bands

Archetype Atlas

paved_commercial

3 contexts

Dense commercial area with impervious surfaces

runoff_coefficient0.7 to 0.95

sydney-cbd / melbourne-cbd / brisbane-cbd

suburban_residential

3 contexts

Suburban residential area with mixed surfaces

runoff_coefficient0.3 to 0.5

sydney-western-suburbs / melbourne-outer / perth-northern-suburbs

low_density_rural

3 contexts

Low-density rural or semi-rural area

runoff_coefficient0.1 to 0.3

hunter-valley-rural / darling-downs-pastoral / barossa-valley

industrial_warehouse

2 contexts

Industrial or warehouse precinct with large roof areas

runoff_coefficient0.6 to 0.9

sydney-western-industrial / melbourne-northern-industrial

parkland_open_space

3 contexts

Parks, playing fields, and open green space

runoff_coefficient0.1 to 0.25

brisbane-parkland / adelaide-parklands / canberra-green-belt

rendered task

Generation Preview

sydney-cbd-paved-commercial-preview

difficulty
hard
visibility
partial
archetype
paved_commercial
site context
sydney-cbd
instruction excerptrational-method_calc.py

visible fields

  • rainfall_intensity_mm_hr10 to 300 mm/hr
  • catchment_area_ha0.1 to 80 ha

withheld schema

runoff_coefficientpeak_runoff_m3_speak_runoff_l_s
Dense commercial area with impervious surfaces. sydney-cbd. Required outputs: peak_runoff_m3_s, peak_runoff_l_s