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form. As more detail is needed for the analysis, these maps are being revised. Detailed precipitation records are available for
both watersheds (figure 4).
The relationships between the input described above are expressed as mathematical expressions. Input from precipitation
will reach the surface. Water can the infiltrate or remain on the surface. Infiltration is calulated according to the Green &
Ampt model (equation 1, Amaru’ Michele, 1995).
Q:F-K:AD, JI FK AD? -8-K-ArQr-A0 € F)] (equation 1)
2 2
Potential infiltration is calculated for each timestep as a function of hydraulic conductivity (K), cumulative infiltration in
previous timesteps (F), the suction head at the wetting front (y) and change in moisture content (/0). Potential infiltration is
used as value for infiltration if the storage capacity of the soil allows infiltration. Water that can not infiltrate (either due to
limited potential infiltration or limited storage capacity), will remain on the surface, after which it will move through the
watershed according to either channel flow or overland flow.
AF =
Channel flow is modelled as a kinematic wave (without accelerations due to the characteristics of flow itself). Flow velocity
can the be calculated with the Darcy-Weisbach equation (equation 2)
v = La R-S (in which Fs — Chezy Nail) (equation 2)
where g is gravity acceleration, f is the Darcy-Weisbach friction factor, R is the hydraulic radius and S is the slope. When
Chezy's C is regarded equal to R'°/n, Manning's equation for the calculation of open channel flow velocity is obtained
(equation 3),
243 142
RS
n
where is the Manning's roughness coefficient, which depends on land cover.
y (equation 3)
Overland flow will occur on a sloping surface. Three possible situations can be identified. First, a surface with a hydraulic
conductivity smaller than the precipitation intensity, (infiltration excess), secondly saturation from above (saturation), and
thirdly saturation from under (exfiltration). Equation 4 is the kinematic wave equation for overland flow,
BX, 5, 1)5 0Y (5, 1) (equation 4)
woo rDI Gu) = = =
Where W., is effective precipitation (here precipitation minus infiltration), m is a factor (set at 0.5), U is discharge form a
pixel and Y (s,t) is the depth of flow. Solutions for equation 4 can be found using the method of characteristics.
Values for these parameters are updated after each time interval. Output for each time interval they are used as inputs for the
aaplication of the soil erosion model, the output of which consist of estimates of sediment production. This output, in turn, is
used for the calculation of suspended sediment load. The latter parameter can be measured during and after construction for
model calibration and validation.
6 CONCLUSIONS
The approach presented provides a means to make certain predictions concerning the likely modeifications of hydrology
related processes as a consequence of changes due to infrastructure construction and operation.
The method described, based on the sequential application of a series of dynamic, distributed models, will produce a final
output in terms of measurable parameters, significant for EIA (channel discharge, soil loss, sediment load). These
parameters can be determined to test and calibrate the model both prior to and during construction.
Minimum inputs required for the model are precipitation records, digital elevation, a soil and land cover map. These inputs
are often available or can be obtained relatively easily. The only insurmountable difficulty is, obviously, lack of precipitation
data.
International Archives of Photogrammetry and Remote Sensing. Vol. XXXIII, Part B7. Amsterdam 2000. 181