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Estimating Streamflow Channel Losses with the Green-Ampt Model

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Title: Estimating Streamflow Channel Losses with the Green-Ampt Model


1
Estimating Streamflow Channel Losses with the
Green-Ampt Model
  • Neil Hutten
  • Ag Eng 558
  • April 20, 2001

2
Presentation Outline
  • Introduction and Motivation
  • Channel Loss Estimation Methods
  • Rawls Brakensiek (1983) Determinations of
    Green-Ampt Parameters
  • Application to a stream site
  • Uncertainties and Conclusions

3
Motivation
  • RCRA requires TSDs to determine whether they are
    located in 100-year floodplains
  • Additional engineering studies are required if
    TSD is located in a floodplain ()
  • Floodplain extent is influenced by losses
  • Stream loss is groundwater gain
  • Stream channel losses can be pathways for
    subsurface contaminant transport

4
Commonly-used methods to estimate stream channel
losses
  • Assume infiltration losses are balanced by local
    precipitation gains
  • Representative Reach Loss
  • Stream Gage A minus Stream Gage B
  • Adjust/extrapolate a known rate
  • Adjust peak flows from regression equations to
    equal peak flows obtained from flood frequency
    analyses of gaged data.

5
Limitations of stream loss methods
  • No data at ungaged sites
  • Ephemeral or intermittent streams
  • Extent of groundwater contributions
  • Evapotranspiration vs. Infiltration
  • Channel wetting and drying cycles
  • Single value for an entire stream reach

6
Green-Ampt Overview
  • Ponded or unponded infiltration
  • Deep homogeneous soil
  • Water infiltrates as piston flow
  • Sharply defined wetting front

7
Green-Ampt Overview
  • Rate Form (f) of G-A Equation assumes a ponded
    surface so the infiltration rate equals
    infiltration capacity of the media.
  • Depth of Ponding can be neglected.

8
Green-Ampt Model
9
Green-Ampt Parameters
  • Effective Suction at Wetting Front
  • Effective Hydraulic Conductivity
  • Soil Porosity

10
Green-Ampt Depth to Wetting Front
11
Green-Ampt Infiltration Rate
12
Rawls and Brakensiek (1980s)
  • Determined ranges of values for
  • Wetting Front Suction
  • Hydraulic Conductivity
  • Soil Porosity
  • For eleven USDA Soil Textures
  • 1200 Soils, 5000 Horizons, 34 States
  • Methods described in standard references

13
Wetting Front Suction
14
Wetting Front Suction with Texture
15
Porosity with Texture
16
Hydraulic Conductivity with Texture
17
Green-Ampt Parameters asDetermined by
Rawls/Brakensiek
18
Meanwhile, back at the river
  • Streamflow Losses on Big Lost River were
    determined from stream gage station data by
    Bennett (1990)
  • Average annual streamflow 1965 to 1987
  • Sixteen (16) streamflow measuring sites and
    stations

19
Big Lost River Losses
  • 1.5 cfs/mi west bndry, INEEL to div. dam
  • 2.5 cfs/mi div. dam to Hwy 26
  • 5 cfs/mi Hwy 26 to Lincoln Blvd (ICPP)
  • 1 cfs/mi Lincoln Blvd (ICPP) to Lincoln Blvd
    (NRF)
  • 4 cfs/mi Lincoln Blvd (NRF) to BLR Sinks
  • 2 cfs/mi above BLR Sinks
  • 18 cfs/mi in the Big Lost River Sinks.

20
Measured Channel Loss
  • Stream gaging station 11
  • Bennetts measured loss 2 cfs/mile
  • Channel Width varies from 40 to 60 feet
  • 40 feet was used
  • Measured infiltration rate 1.04 cm/hr.

21
Specifics at Station 11
  • Coarse pebble to cobble gravel above gaging
    station 11
  • Sediment grades to sand and sandy silt below
    station 11
  • Sandy Loam set of Green-Ampt parameters was used
    for sandy silt

22
Selection of G-A Parameters
  • Sandy Loam (R-B) Parameters
  • Porosity (phi) 0.453cc/cc
  • Wetting front Suction head Sf 11.01 cm
  • Hydraulic conductivity Ks 1.09 cm/hr
  • Modelled Sandy Loam Infiltration Rate after ten
    hours was 1.61 cm/hr
  • Measured rate was 1.04 cm/hr (2 cfs/mi)

23
Depth to Wetting Front and Infiltration Rate for
Sandy Loam
24
Depth to Wetting Front and Infiltration Rate for
Sand
25
Ten-hour Wetting Depth and Infiltration Rates
with Green-Ampt Parameters
26
Uncertainties
  • Pre-existing initial moisture contents were not
    considered
  • R-B Porosity, Wetting Front Suction, and
    Hydraulic Conductivities for media larger than
    sand not available
  • Infiltration characteristics of ephemeral channel
    bottoms compared to infiltration of upland soil
    sites
  • Layering, textural changes, surface crusts, etc.

27
Conclusions
  • Green-Ampt parameters developed by Rawls and
    Brakensiek may be a useful tool to determine
    stream channel infiltration loss rates.
  • Ten-hour Modeled Infiltration Rate (1.6 cm/hr)
    approximated the measured infiltration rate (1.0
    cm/hr)
  • Time frame of measured infiltration rate was not
    specified.
  • Compare field samples with R-K parameters
  • This is a research area worth further
    investigation.
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