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Groundwater HIA post edit - FreshwaterLife

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distributed and time-variant numerical groundwater model, calibrated and validated<br />

against historical data. This is likely to require the collection of data from a wide range<br />

of sources, including more field investigations. It is likely that Tier-3 assessments will<br />

only be required in a relatively small number of cases.<br />

It is not possible to be prescriptive when describing the tiers, and indeed it is preferable<br />

that as much flexibility as possible is retained throughout the process (the information<br />

and data requirements will become clearer when the <strong>HIA</strong> methodology itself is<br />

described in Section 4).<br />

Box 3.1: Thiem and Thiem-Dupuit equations<br />

3.3 Tools and<br />

techniques<br />

There are many tools and<br />

techniques available that can be of<br />

great help when undertaking <strong>HIA</strong>.<br />

Unfortunately, there is no single tool<br />

or technique that covers everything,<br />

so it is a question of using technical<br />

judgement on when to use which<br />

tool or technique. It is also a<br />

question of being realistic about the<br />

limitations and built-in assumptions<br />

of each tool or technique. Let us<br />

now look briefly at some possible<br />

tools and techniques.<br />

3.3.1 Tier 1 tools<br />

The main tools likely to be used at<br />

the level of Tier 1 are simple<br />

analytical equations and the analysis<br />

of test pumping results. Two good<br />

examples of useful analytical<br />

equations are the Thiem equation<br />

and Thiem-Dupuit equation for<br />

steady-state flow in confined and<br />

unconfined aquifers respectively<br />

(Kruseman and de Ridder 1990).<br />

The equations and parameters are<br />

shown in Box 3.1.<br />

Such equations must always be<br />

used with care, bearing in mind all<br />

the assumptions on which the<br />

equations are based. As part of this<br />

project, over 20 analytical equations<br />

have been assembled from various<br />

sources (textbooks and other<br />

publications), and put into an MS<br />

Excel spreadsheet for convenience,<br />

for use when assessing the impacts<br />

of groundwater abstractions. Many<br />

Thiem equation (steady-state confined flow)<br />

2πKD(<br />

h2<br />

− h1<br />

) 2πKD(<br />

s1<br />

− s2<br />

)<br />

Q =<br />

=<br />

2.<br />

30log(<br />

r / r ) 2.<br />

30log(<br />

r / r )<br />

16 Science Report – Hydrogeological impact appraisal for groundwater abstractions<br />

2<br />

1<br />

Thiem-Dupuit equation (steady-state unconfined flow)<br />

2 2<br />

K(<br />

h2<br />

− h1<br />

)<br />

Q =<br />

2.<br />

30log(<br />

r / r )<br />

π<br />

Both diagrams from Kruseman and de Ridder (1990).<br />

Q = pumping rate [L 3 /T]; K = hydraulic conductivity [L/T];<br />

D = saturated aquifer thickness [L];<br />

hi = elevation of water table or piezometric surface [L];<br />

si = drawdown [L]; ri = radius [L];<br />

where L = length and T = time.<br />

These equations are given here in their most general<br />

form, but they can be used in other ways. For example,<br />

if only one piezometer is available (at distance r2 in the<br />

diagrams above), the water level in, and radius of, the<br />

pumping well (hw and rw) can be used instead of the<br />

'inner' piezometer. However, care must be taken to<br />

allow for the effects of well losses and the breakdown<br />

close to the well of some of the assumptions built into the<br />

equations. The radius of influence (Ro) of a groundwater<br />

abstraction, defined as the radius at which drawdown is<br />

zero, is sometimes estimated by setting h2 to the original<br />

water table or piezometric surface, if all other parameters<br />

are known.<br />

2<br />

1<br />

2<br />

1

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