This was a study of the regionalization of water heights (measured in rain gauges) after rain showers, but it could equally well apply to the regionalization of the vertical thickness of a sedimentary bed.
Figure 1.5 shows the location of rain gauges in the Kadjemeur basin in Tchad (Central Africa). After one particular rainfall, the height of water in each rain gauge was measured. These data were then used to construct an experimental semi-variogram to which a linear model was fitted. Figure 1.5 shows three simulated rainfalls, each of which has the same linear variogram as the real rainfall and the same water heights at the actual rain gauge locations. At points other than these rain gauge locations, the three simulations can differ markedly from each other. This is noticeably evident in the extreme right-hand corner of the basin, where there are no rain gauges.
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