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The impact of urban groundwater upon surface water - eTheses ...

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GROUNDWATER FLOW MODELLING<br />

amplitude 5-100cm) and the function varied over time steps <strong>of</strong> 1/50 days. Initial moisture<br />

conditions for the model were set, based <strong>upon</strong> the moisture pr<strong>of</strong>ile after 10 days wetting.<br />

Cumulative inflow to the model was sensitive to the initial conditions, and the model was run<br />

through at least 10 cycles <strong>of</strong> the sin function until stable conditions <strong>of</strong> flow across the<br />

boundary were reached.<br />

6.11.2.3 Calculation <strong>of</strong> apparent and global specific yield<br />

In order to investigate the variations in storage that occur during a forcing head cycle it was<br />

necessary to calculate a value representative <strong>of</strong> storage (apparent storage) for each time step<br />

in the forcing cycle. <strong>The</strong> apparent storage was calculated based <strong>upon</strong> the definition <strong>of</strong> specific<br />

yield, that is the volume <strong>of</strong> <strong>water</strong> released over a given time period per unit horizontal area<br />

per unit head change. <strong>The</strong> flow across the lower boundary <strong>of</strong> the model was divided by the<br />

change in the forcing head on a per time step basis. A global specific yield was calculated<br />

equal to the cumulative inflow divided by the total head change per quarter <strong>of</strong> the sin forcing<br />

head cycle.<br />

6.11.2.4 Model Parameters<br />

<strong>The</strong> geology was varied between runs and the column was set to represent a single geological<br />

type on each occasion. Van Genuchten parameters for unsaturated flow were obtained<br />

(Anderson, 1990, Digges la Touche, 1998) for the soil types clay, sand and loam to simulate<br />

the range <strong>of</strong> conditions that are likely to occur in the Tame Valley. Details <strong>of</strong> the results and<br />

parameters used are given in Appendix 25.<br />

225

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