It is well known that the interpretation of gravity anomaly data suffers from a fundamental nonuniqueness. No matter how complete a gravity data set may be, there are an unlimited number of subsurface density solutions compatible with it. This generally remains true even when the class of mathematically acceptable solutions is limited by imposed constraints based on physical or geologic arguments. The common practice constructing a single solution fitting, or only approximately fitting, the anomaly data is therefore of limited value.

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