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Stilling Basin Sizing

Estimates the required stilling basin length for energy dissipation downstream of a spillway using USBR hydraulic design methods. Calculates the entry Froude number, derives the sequent (conjugate) depth from the Belanger equation d2 = (d1/2)*(sqrt(1+8*Fr^2)-1), then selects the appropriate USBR basin type (I, II, or III) and corresponding basin length factor.

inputs

3 fields

context

4 archetypes

engine

with-tool

outputs

4 scored fields

contract fields

Parameter Map

3 inputs to 4 scored outputs

  • unit_discharge_m3_s_m

    float

    Unit discharge at the spillway toe q (discharge per metre width)

    0.5 to 80m³/s/m

  • drop_height_m

    float

    Vertical drop height from reservoir level to basin floor ΔH

    1 to 50m

  • tailwater_depth_m

    floatfrom archetypehidden in hard

    Tailwater depth downstream of the basin d_tw

    0 to 20m
froude_numbertol 0.03

Froude number at basin entry Fr₁

sequent_depth_mtol 0.03

Sequent (conjugate) depth from Belanger equation d₂ (m)

basin_length_mtol 0.03

Required stilling basin length L_basin (m)

basin_typetol 0.01

USBR basin type code (0.0 = none, 1.0 = Type I, 2.0 = Type II, 3.0 = Type III)

visibility contract

Difficulty Ladder

all_giveneasy

Low weir with all parameters given, straightforward Froude calculation

all fields visible
all_givenmedium

Medium to high dam, all parameters given, wider range of Froude numbers and basin types

all fields visible
partialhard

Tailwater depth hidden; agent must infer from site context and typical downstream conditions

tailwater_depth_m

scenario bands

Archetype Atlas

low_weir

2 contexts

Low overflow weir or small check dam with moderate unit discharge

unit_discharge_m3_s_m0.5 to 5
drop_height_m2 to 5
tailwater_depth_m0.3 to 2

victoria-farm-dam-weir / south-australia-creek-weir

medium_dam

2 contexts

Medium-height dam spillway with significant energy to dissipate

unit_discharge_m3_s_m5 to 30
drop_height_m5 to 20
tailwater_depth_m1.5 to 8

nsw-water-supply-dam / queensland-irrigation-dam

high_dam

2 contexts

High dam spillway with large energy head and high Froude number flow

unit_discharge_m3_s_m15 to 80
drop_height_m20 to 50
tailwater_depth_m3 to 20

snowy-mountains-major-dam / north-queensland-flood-dam

overflow_structure

2 contexts

Low-head overflow structure or diversion weir with small drop

unit_discharge_m3_s_m0.5 to 8
drop_height_m1 to 5
tailwater_depth_m0.2 to 2.5

western-australia-diversion-weir / tasmania-small-hydro-outlet

rendered task

Generation Preview

nsw-water-supply-dam-medium-dam-preview

difficulty
hard
visibility
partial
archetype
medium_dam
site context
nsw-water-supply-dam
instruction excerptstilling-basin-sizing_calc.py

visible fields

  • unit_discharge_m3_s_m5 to 30 m³/s/m
  • drop_height_m5 to 20 m

withheld schema

tailwater_depth_mfroude_numbersequent_depth_mbasin_length_mbasin_type
Medium-height dam spillway with significant energy to dissipate. nsw-water-supply-dam. Required outputs: froude_number, sequent_depth_m, basin_length_m, basin_type