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Recharge systems for protecting and enhancing groundwate

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334<br />

TOPIC 3<br />

Modelling aspects <strong>and</strong> <strong>groundwate</strong>r hydraulics<br />

both within <strong>and</strong> outside r e . However it should be noted that segments 2 <strong>and</strong> 3 occur at progressively greater elapsed<br />

times as the distance between the monitoring borehole <strong>and</strong> the pumping well increases. Inside the effective radius,<br />

Warren <strong>and</strong> Root (1963) note that r e must be used instead of the value r, whilst r e may be determined from distance<br />

drawdown analysis (Figure 3).<br />

DOUBLE POROSITY ANALYSIS OF LEAKY HYDRAULICS<br />

Providing data is taken from the third hydraulic segment from an observation borehole located outside r e , other<br />

conventional leaky or boundary hydraulic analytical methods, e.g. the leaky method of Hantush <strong>and</strong> Jacob (1955),<br />

can also be used to determine aquifer hydraulic parameters. This is feasible because the response of a double porosity<br />

aquifer at late pumping times approximates to the<br />

response of a homogeneous porous aquifer (Kazemi et al.,<br />

1969). Selection of an observation borehole just outside r e ,<br />

will maximise the period of data that can be used. The leaky<br />

response of the pumping test at Ladywell Fields was there<strong>for</strong>e<br />

best analysed using data from the Cat<strong>for</strong>d Town Hall<br />

borehole (Figure 4). This figure shows it is difficult to<br />

obtain a definitive log-log leaky response fit. However this<br />

problem can be overcome if the start time of third segment<br />

is determined from a semi-log graph, <strong>and</strong> only the third segment<br />

data values are then fitted on the log-log response.<br />

Respectively transmissivity, storage <strong>and</strong> leakance values<br />

of 1,590 m 2 /day, 1 x 10 –3 <strong>and</strong> 5,500 m were obtained, all of<br />

which were consistent with the double porosity analysis.<br />

W(u,r/B)<br />

Hantush<br />

10 1<br />

10 0<br />

10 -1 10 0 10 1 10 2 10 3<br />

10 -1<br />

10 -2<br />

Figure 4. Analysis of the leaky<br />

time-drawdown response<br />

in the Cat<strong>for</strong>d Town Hall OBH<br />

CONTOUR MAP<br />

ANALYSIS<br />

Contour maps of drawdown in the<br />

study area are another useful<br />

method of analysing double porosity<br />

aquifers. Fracture <strong>systems</strong> will<br />

often be better developed in the<br />

main fracture direction creating<br />

marked azimuthal variation in<br />

transmissivity. This was a feature<br />

of all of the pumping tests carried<br />

out in the SLARS area (Streatham,<br />

Ladywell Fields <strong>and</strong> Bell Green).<br />

Figure 5 shows the drawdown map<br />

<strong>for</strong> the Streatham test. Here the<br />

drawdown is not circular but elliptical,<br />

with the long axis showing<br />

the orientation of maximum transmissivity.<br />

Contour maps from the<br />

Bell Green <strong>and</strong> Ladywell Fields<br />

tests produced ellipses with the<br />

Figure 5. Drawdown contours from the Streatham tests<br />

ISMAR 2005 ■ AQUIFER RECHARGE ■ 5th International Symposium ■ 10 –16 June 2005, Berlin

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