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Introduction to the resistivity surveying method. The resistivity of ...

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significantly better results. However, it does illustrate <strong>the</strong> advantages <strong>of</strong> using suitable<br />

inversion constrains.<br />

Most field data sets probably lie between <strong>the</strong> two extremes <strong>of</strong> a smoothly varying<br />

<strong>resistivity</strong> and discrete geological bodies with sharp boundaries. If you have a sufficiently fast<br />

computer (Pentium II upwards), and a relatively small data set (2000 datum points or less), it<br />

might be a good idea <strong>to</strong> invert <strong>the</strong> data twice. Once with <strong>the</strong> standard smoothness-constrain<br />

and again with <strong>the</strong> robust model constrain. This will give two extremes in <strong>the</strong> range <strong>of</strong><br />

possible models that can be obtained for <strong>the</strong> same data set. Features that are common <strong>to</strong> both<br />

models are more likely <strong>to</strong> be real.<br />

Some geological bodies have a predominantly horizontal orientation (for example<br />

sedimentary layers and sills) while o<strong>the</strong>rs might have a vertical orientation (such as dykes and<br />

faults). This information can be incorporated in<strong>to</strong> <strong>the</strong> inversion process by setting <strong>the</strong> relative<br />

weights given <strong>to</strong> <strong>the</strong> horizontal and vertical flatness filters. If for example <strong>the</strong> structure has a<br />

predominantly vertical orientation, such as a dyke (Figure 17), <strong>the</strong> vertical flatness filter is<br />

given a greater weight than <strong>the</strong> horizontal filter.<br />

Figure 13. Example <strong>of</strong> inversion results using <strong>the</strong> smoothness-constrain and robust inversion<br />

model constrains. (a) Apparent <strong>resistivity</strong> pseudosection (Wenner array) for a syn<strong>the</strong>tic test<br />

model with a faulted block (100 ohm.m) in <strong>the</strong> bot<strong>to</strong>m-left side and a small rectangular block<br />

(2 ohm.m) on <strong>the</strong> right side with a surrounding medium <strong>of</strong> 10 ohm.m. <strong>The</strong> inversion models<br />

produced by (b) <strong>the</strong> conventional least-squares smoothness-constrained <strong>method</strong> and (c) <strong>the</strong><br />

robust inversion <strong>method</strong>.<br />

Ano<strong>the</strong>r important fac<strong>to</strong>r is <strong>the</strong> quality <strong>of</strong> <strong>the</strong> field data. Good quality data usually<br />

show a smooth variation <strong>of</strong> apparent <strong>resistivity</strong> values in <strong>the</strong> pseudosection. To get a good<br />

model, <strong>the</strong> data must be <strong>of</strong> equally good quality. If <strong>the</strong> data is <strong>of</strong> poorer quality, with<br />

Copyright (1999-2001) M.H.Loke

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