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

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GROUNDWATER FLOW MODELLING<br />

into grid cells; and particle tracking function allows the visualisation <strong>of</strong> flow paths and the<br />

calculation <strong>of</strong> travel times.<br />

6.3.2.1 Boundaries and grid layout<br />

A uniform 50 x 50 grid, <strong>of</strong> cell size 36m, (Figure 6.3) was used with a single layer <strong>of</strong> 50m<br />

thickness <strong>of</strong> a uniform media type. <strong>The</strong> desired transmissivity was then obtained by varying<br />

the hydraulic conductivity. <strong>The</strong> grid was aligned approximately north-south with its centre at<br />

OS grid reference SP 0750091500 <strong>The</strong> ground elevation <strong>of</strong> the layer was set 1 m above the<br />

maximum fixed head values. No ground <strong>surface</strong> effects are therefore included in the model.<br />

<strong>The</strong> boundaries set for the model are as follows:<br />

1. Fixed head boundaries around the perimeter <strong>of</strong> the model. Head levels were assigned on<br />

an individual cell basis using contour values obtained from mean head levels from<br />

piezometers and monitoring wells.<br />

2. No flow at the base <strong>of</strong> the model.<br />

3. River cells are assigned a fixed river stage and a conductance relating to the river <strong>surface</strong><br />

area in the cell, the bed thickness and the bed hydraulic conductivity.<br />

6.3.2.2 Model Parameters<br />

Hydraulic parameters<br />

Transmissivities in the range 10-320 m 2 d -1 have been obtained from pumping tests within the<br />

Birmingham Aquifer (Jenkins, 1995). <strong>The</strong> sandstone underlying the model area comprises<br />

part <strong>of</strong> the Kidderminster formation with a geometric mean value for bulk permeability <strong>of</strong><br />

4.95 md -1 (Allen et al., 1997). <strong>The</strong> thickness <strong>of</strong> the unit above the underlying coal measures<br />

160

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