Abstract
Least squares collocation can be used to determine the density of a gravity survey, when the object of the survey is:
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1.
To produce a (free-air) gravity anomaly map, so that point gravity anomaly values can be interpolated with a standard error of ±X1 mgal,
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2.
To interpolate deflections of the vertical with a standard error of ±X2 arc. sec. between astronomical stations Z km apart,
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3.
To compute an upward continuation of a point gravity anomaly to a height of Z meters with a standard error of ±X3 mgal,
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4.
To compute mean gravity anomalies of block size Z degrees with a standard error of ±X4 mgal,
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5.
To obtain a (local) gravimetric geoid with a standard error of ±X5 meters,
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6.
To compute density anomalies at a depth of Z km with a standard error of ±X6 g/cm3.
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Tscherning, C.C. Application of collocation for the planning of gravity surveys. Bull. Geodesique 116, 183–198 (1975). https://doi.org/10.1007/BF02521528
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DOI: https://doi.org/10.1007/BF02521528