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

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Details <strong>of</strong> the model setup and calibration are given in Appendix 24.<br />

6.2.5 UNSAT<br />

n<br />

( k∇h) − Qiδ<br />

( x − xi)<br />

∇ ∑<br />

i=<br />

1<br />

k = hydraulic conductivity [LT -1 ]<br />

h = hydraulic head [L]<br />

Qi = point sink at location xi<br />

+ R =<br />

dh<br />

S<br />

dt<br />

x = location [L]<br />

xi = location <strong>of</strong> point sink [L]<br />

[L 3 T -1 ]<br />

R = distributed source [T -1 ]<br />

S = specific storativity [L -1 ]<br />

t = time [T]<br />

δ = dirac delta function [L -3 ]<br />

156<br />

GROUNDWATER FLOW MODELLING<br />

<strong>The</strong> computer code UNSAT (Mackay, 2001) is a one-dimensional, box-centred, finite<br />

difference numerical model which solves Richards equation for flow using Van Genuchten’s<br />

(1980) equations for the soil moisture characteristics to simulate the unsaturated zone. Details<br />

<strong>of</strong> the model setup and calibration are given in Appendix 25.<br />

6.3 Investigation <strong>of</strong> <strong>ground<strong>water</strong></strong> flow paths across the river flood plain<br />

<strong>The</strong> modelling objective was to investigate <strong>ground<strong>water</strong></strong> flow paths, at the flood plain and<br />

channel scales, and in the vertical and horizontal planes to establish the likely movement <strong>of</strong><br />

contaminant plumes from source area to discharge point within the river.

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