A Method of Computing the Low-Order Radial Derivatives of Gravity Anomalies Using the Band-Limited Idea

Abstract

The invention relates to a method for calculating the low-order radial derivative of gravity anomaly by using the band-limited idea. Its main technical characteristics are: the analytic kernel function of the Poisson integral of the gravity anomaly outside the earth is expressed as a spherical harmonic series expansion, and by derivation The expression of the spherical harmonic series of the low-order radial derivative of gravity anomaly is obtained by using the method; the calculation formula of the spherical harmonic series of the low-order radial derivative of gravity anomaly is truncated into a band-limited expression that is consistent with the spectral range of gravity observations The sum formula is used to compensate the far region truncation error of the low-order radial derivative of the gravity anomaly by using the global gravity potential model, and the low-order radial derivative of the gravity anomaly is calculated. The invention has a reasonable design, can accurately calculate the low-order radial derivative of the gravity anomaly, improves the calculation accuracy of the low-order radial derivative of the gravity anomaly, solves the instability problem of the calculation result of the low-order radial derivative of the gravity anomaly, and can be widely used in the field of physical geodesy.

Description

technical field [0001] The invention belongs to the technical field of physical geodesy, in particular to a method for calculating the low-order radial derivative of gravity anomaly by using the band-limited idea. Background technique [0002] The radial derivative of gravity anomaly has very important application value in geodesy and geophysical exploration. High-precision low-order radial derivatives of gravity anomalies (namely, first-order radial derivatives, second-order radial derivatives, and third-order radial derivatives) are used to invert near-surface anomalous objects and determine the distribution of mineral resources. and the essential basic data for underwater gravity-assisted navigation of submersibles. [0003] The analytic kernel function for calculating the low-order radial derivative of gravity anomaly has a singularity at the spherical boundary, which leads to unstable calculation results. The spherical harmonic expression of the potential field theory...

AI Technical Summary

Problems solved by technology

In practical applications, limited by the coverage of observation data, global coverage cannot be achieved. In the actual calculation process, the global integral formula of the low-order radial derivative of gravity anomaly needs to be modified to ensure the conditions of applicable observation data to ensure the reliability of calculation results.

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