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built templateslope-stabilitywith-tool

Fos Rapid Drawdown

Computes the factor of safety before and after rapid reservoir drawdown on an embankment dam upstream slope using the simplified infinite slope method per USACE EM 1110-2-1902. Assumes undrained pore-pressure response in low-permeability core materials, comparing the submerged steady-state condition to the post-drawdown condition where full saturated weight drives shear but pore pressures remain elevated.

inputs

7 fields

context

4 archetypes

engine

with-tool

outputs

4 scored fields

contract fields

Parameter Map

7 inputs to 4 scored outputs

slope_angle_deg
float
Upstream slope angle measured from horizontal
5 to 45degrees
slip_depth_m
float
Depth of potential slip surface below the slope face
0.5 to 10m
cohesion_kpa
floatfrom archetypehidden in hard
Effective cohesion c' of the embankment material
0 to 50kPa
friction_angle_deg
floatfrom archetypehidden in hard
Effective friction angle phi' of the embankment material
10 to 40degrees
saturated_unit_weight_kn_m3
floatfrom archetypehidden in hard
Saturated unit weight of the embankment material gamma_sat
16 to 22kN/m3
initial_reservoir_level_m
float
Initial (pre-drawdown) reservoir water level above the dam base
3 to 80m
final_reservoir_level_m
float
Final (post-drawdown) reservoir water level above the dam base
0 to 40m

fos_before_drawdowntol 0.03

Factor of safety of the upstream slope before drawdown (submerged steady state)

fos_after_drawdowntol 0.03

Factor of safety of the upstream slope after rapid drawdown (undrained pore pressures)

drawdown_ratiotol 0.03

Drawdown ratio R = (initial_level - final_level) / initial_level (dimensionless)

pore_pressure_kpatol 0.03

Undrained pore pressure at the slip surface after drawdown u (kPa)

visibility contract

Difficulty Ladder

all_giveneasy

Homogeneous dam scenario, all parameters given including material properties

all fields visible

all_givenmedium

All parameters given, wider range of dam types and operating conditions

all fields visible

partialhard

Material properties hidden; agent must infer cohesion, friction angle, and unit weight from site context

cohesion_kpafriction_angle_degsaturated_unit_weight_kn_m3

scenario bands

Archetype Atlas

homogeneous_earth_dam

2 contexts

Homogeneous compacted clay embankment dam with moderate upstream slope

slope_angle_deg14 to 22

slip_depth_m1.5 to 4

cohesion_kpa8 to 20

friction_angle_deg20 to 28

queensland-irrigation-dam / darling-downs-farm-dam

zoned_embankment

2 contexts

Zoned embankment dam with clay core and granular shells on upstream slope

slope_angle_deg12 to 20

slip_depth_m2 to 6

cohesion_kpa10 to 30

friction_angle_deg22 to 32

snowy-mountains-hydro-dam / tasmania-power-dam

tailings_dam

2 contexts

Mining tailings storage facility with upstream-raise embankment

slope_angle_deg10 to 18

slip_depth_m2 to 5

cohesion_kpa5 to 15

friction_angle_deg18 to 26

pilbara-iron-ore-tsf / bowen-basin-coal-tsf

flood_levee

2 contexts

Flood protection levee with steep upstream face on alluvial foundation

slope_angle_deg18 to 30

slip_depth_m1 to 3

cohesion_kpa3 to 12

friction_angle_deg24 to 34

murray-river-levee / fitzroy-river-flood-levee

rendered task

Generation Preview

snowy-mountains-hydro-dam-zoned-embankment-preview

difficulty: hard
visibility: partial
archetype: zoned_embankment
site context: snowy-mountains-hydro-dam

instruction excerptfos-rapid-drawdown_calc.py

visible fields

slope_angle_deg12 to 20 degrees
slip_depth_m2 to 6 m
initial_reservoir_level_m15 to 50 m
final_reservoir_level_m2 to 15 m

withheld schema

friction_angle_degcohesion_kpasaturated_unit_weight_kn_m3fos_before_drawdownfos_after_drawdowndrawdown_ratiopore_pressure_kpa

Zoned embankment dam with clay core and granular shells on upstream slope. snowy-mountains-hydro-dam. Required outputs: fos_before_drawdown, fos_after_drawdown, drawdown_ratio, pore_pressure_kpa