A new method of computation of the isostatic anomaly and its application to the Rhine graben

Mathematics – Logic

Scientific paper

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Geodesy, Geological Faults, Gravimetry, Gravity Anomalies, Isostasy, Linearity, Mass Distribution, Mathematical Models, Rivers

Scientific paper

Using a preexisting mathematical model, a mathematical assumption of linearity is used to compute isostatic anomalies directly from geodetic and gravimetric data. When applied to the Rhine graben, the method yields satisfactory results which justify it a posteriori. The compensation depth is thought to be greater than 120 km. It is noted that the computation of a model of the distribution of compensation masses inside the earth necessitates further mathematical assumptions which make the results physically questionable.

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