A symmetric matrix is introduced to specify a set of variable densities. An iterative process is generated by means of such a matrix formulation, which leads to an elegant and rapid method for calculating the configuration of two‐dimensional subsurface mass deficiencies, such as sedimentary basins and isostatic structures below the mountains. Applications are illustrated for Godavari Basin (India) and the Rocky Mountains (United States).
Ambiguity in the gravity response of an earth model with transition layers has been assessed by calculating the channel capacity of the transmitter (transition layer). The channel capacity is used to determine the number of false gravity anomalies in a gravity contour, which acts as an index to the ambiguity range. The lower limit of this ambiguity range is fixed by using Gabor's modified formula, the beats produced between signal and noise being taken into account. The, upper limit is obtained by the Hartley‐Tuller‐Shannon formula after Sax (1966). Wider effective applications of this combined approach to various problems of interpretation have been indicated by the illustration of the controversial gravity interpretations of Mono basin in California.
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