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task library
built templateseepage-analysiswith-tool

Exit Gradient

Computes the exit hydraulic gradient at a dam or levee downstream toe using i_exit = delta_h / L_seepage, and the critical gradient for piping initiation from i_cr = (G_s - 1) / (1 + e), per USACE EM 1110-2-1901. Derives the factor of safety against piping and the saturated and buoyant unit weights of the foundation soil. Used in dam safety and geotechnical seepage analysis.

inputs

5 fields

context

4 archetypes

engine

with-tool

outputs

5 scored fields

contract fields

Parameter Map

5 inputs to 5 scored outputs

  • head_difference_m

    float

    Head difference across the structure (upstream pool minus tailwater level)

    0.5 to 40m

  • seepage_path_length_m

    float

    Total seepage path length through the foundation from upstream to downstream toe

    5 to 300m

  • specific_gravity

    floatfrom archetypehidden in hard

    Specific gravity of foundation soil solids G_s

    2.55 to 2.8

  • void_ratio

    floatfrom archetypehidden in hard

    Void ratio of the foundation soil e

    0.25 to 1.1

  • foundation_soil_type

    enumfrom archetypehidden in hard

    Foundation soil classification

    clean_sandsilty_sandsandy_siltclayey_siltsilty_clay
exit_gradienttol 0.03

Exit gradient at the downstream toe i_exit (dimensionless)

critical_gradienttol 0.03

Critical hydraulic gradient for piping initiation i_cr (dimensionless)

factor_of_safetytol 0.03

Factor of safety against piping FoS = i_cr / i_exit (dimensionless)

saturated_unit_weight_kn_m3tol 0.03

Saturated unit weight of foundation soil gamma_sat (kN/m3)

buoyant_unit_weight_kn_m3tol 0.03

Buoyant (submerged) unit weight of foundation soil gamma_b (kN/m3)

visibility contract

Difficulty Ladder

all_giveneasy

Simple earth dam scenario, all parameters given including soil properties

all fields visible
all_givenmedium

All parameters given, wider range of structure types and soil conditions

all fields visible
partialhard

Specific gravity, void ratio, and soil type hidden; agent infers from site context

specific_gravityvoid_ratiofoundation_soil_type

scenario bands

Archetype Atlas

earth_dam_sand

2 contexts

Earth embankment dam on clean sand foundation with moderate head

head_difference_m3 to 15
seepage_path_length_m30 to 120
specific_gravity2.63 to 2.67
void_ratio0.55 to 0.75

darling-downs-farm-dam / hunter-valley-irrigation-dam

concrete_gravity_dam

2 contexts

Concrete gravity dam on silty sand foundation with high head

head_difference_m10 to 35
seepage_path_length_m50 to 200
specific_gravity2.64 to 2.68
void_ratio0.45 to 0.65

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

levee_alluvial

2 contexts

Levee on alluvial soil foundation with low to moderate head

head_difference_m1.5 to 8
seepage_path_length_m15 to 80
specific_gravity2.65 to 2.72
void_ratio0.5 to 0.8

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

sheet_pile_cofferdam

2 contexts

Sheet pile cofferdam on sandy foundation with low head

head_difference_m0.5 to 5
seepage_path_length_m5 to 30
specific_gravity2.63 to 2.67
void_ratio0.55 to 0.8

sydney-harbour-cofferdam / brisbane-river-cofferdam

rendered task

Generation Preview

snowy-mountains-hydro-dam-concrete-gravity-dam-preview

difficulty
hard
visibility
partial
archetype
concrete_gravity_dam
site context
snowy-mountains-hydro-dam
instruction excerptexit-gradient_calc.py

visible fields

  • head_difference_m10 to 35 m
  • seepage_path_length_m50 to 200 m

withheld schema

specific_gravityvoid_ratiofoundation_soil_typeexit_gradientcritical_gradientfactor_of_safetysaturated_unit_weight_kn_m3buoyant_unit_weight_kn_m3
Concrete gravity dam on silty sand foundation with high head. snowy-mountains-hydro-dam. Required outputs: exit_gradient, critical_gradient, factor_of_safety, saturated_unit_weight_kn_m3, buoyant_unit_weight_kn_m3