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7: GEOPHYSICAL METHODS  135


                 is proportional to the total excess mass of the  of the use of modeling in gold exploration see
                 source body. Any errors or uncertainties are  section 14.5.4.
                 due to the difficulty, under most circum-
                 stances, of defining background, and are not
                 inherent in the method. The true total mass  7.5  RADIOMETRICS
                 of the body is obtained by adding in the mass
                 of an equivalent volume of country rock, so  Natural radioactive decay produces alpha par-
                 some knowledge of source and country-rock    ticles (consisting of two neutrons and two
                 densities is needed.                         protons bound together), beta particles (high-
                   Very much less can be deduced about either  energy electrons), and gamma rays (very high
                 the shapes or the depths of sources. A variety of  frequency electromagnetic waves which quan-
                 rule of thumb methods exist, all relying on the  tum theory allows us to treat as particles).
                 rough general relationship between the lateral  Alpha and beta radiations are screened out by
                 extent of an anomaly and the depth of its    one or two centimeters of solid rock, and even a
                 source (e.g. Milsom 2002). A deeper body will,  little transported soil may conceal the alpha
                 other things being equal, give rise to a broader  and beta effects of mineralisation. Gamma rays
                 (and flatter) anomaly. Strictly speaking, only  are more useful in exploration but even they
                 homogeneous spherical bodies can be approxi-  have ranges of only one or two meters in solid
                 mated by the point sources on which most of  matter. The traditional picture of a radiometric
                 the rules are based, and the widths of real  survey is of the bearded prospector, with or
                 anomalies obviously depend on the widths of  without donkey, plodding through the desert
                 their sources, but rough guides are obtained  and listening hopefully to clicking noises com-
                 to the depths of centers of mass in many cases.  ing from a box on his hip. The Geiger counter
                 Also, the peaks of gravity anomalies are gen-  he used was sensitive only to alpha particles
                 erally located directly above the causative  and is now obsolete, but tradition dies hard.
                 bodies, which is not the case with many of the  Modern gamma rays detectors (scintillometers)
                 other geophysical methods. However, all inter-  have dials or digital readouts, but ground
                 pretation is subject to a fundamental limita-  survey instruments can usually also be set to
                 tion because the field produced by a given body  “click” in areas of high radioactivity. For an
                 at a given depth can always also be produced by  example of a carborne survey see Fig. 4.8.
                 a laterally more extensive body at a shallower  Radiometric methods are geophysical odd-
                 depth. No amount of more detailed survey or  ities because the measurements are of count
                 increased precision can remove this ambiguity.  rates, which are subject to statistical rules,
                   Full quantitative interpretations are usually  rather than of fields with definite, even if diur-
                 made by entering a geological model into a   nally variable, values. Survey procedures must
                 computer program that calculates the corres-  strike a balance between the accuracy obtain-
                 ponding gravity field, and then modifying the  able by observing for long periods at each sta-
                 model until there is an acceptable degree of  tion and the speed of coverage demanded by
                 fit between the observed and calculated fields.  economics. Statistics can be improved by using
                 This process is known as  forward modeling.  very large detector crystals, and these are es-
                 Several packages based on algorithms published  sential for airborne work, but their cost rises
                 by Cady (1980) are available for modeling    dramatically with size. The slow speeds needed
                 fields due to 2D bodies (which have constant  to obtain statistically valid counts in the air
                 cross-section and infinite strike extent) and to  generally necessitate helicopter installations.
                   1
                 2 /2D bodies, which are limited in strike length.  Gamma ray energies can be measured by
                 Full three-dimensional modeling of bodies of  spectrometers, allowing different sources of
                 complex shape is now becoming more com-      radiation to be identified. Terrestrial radia-
                                                                                             40
                 mon as desktop computers become faster and   tion may come from the decay of  K, which
                 memory sizes increase. The reliability of any  makes up about 0.01% of naturally occurring
                 interpretation, no matter how sophisticated  potassium, or from thorium or uranium. Radia-
                 the technique, depends, of course, on the valid-  tion arises not only from decay of these long-
                 ity of the input assumptions. For an example  lived primeval elements but also from unstable
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