Analytical method of air gravity least squares downward continuation based on upward continuation

A kind of aviation gravity and least squares technology, applied in the field of marine gravity, can solve problems such as downward extension of aviation gravity ill-posed, and achieve the effect of solving ill-posed problems and high application value

Active Publication Date: 2021-04-06
THE CHINESE PEOPLES LIBERATION ARMY 92859 TROOPS
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Problems solved by technology

[0003] The purpose of the present invention is to overcome the deficiencies of the prior art, to propose an analytical method based on the upward continuation of the air gravity least squares downward continuation, and to solve the ill-posed problem of the downward continuation of the air gravity

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  • Analytical method of air gravity least squares downward continuation based on upward continuation
  • Analytical method of air gravity least squares downward continuation based on upward continuation
  • Analytical method of air gravity least squares downward continuation based on upward continuation

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Embodiment Construction

[0036] The present invention is described in further detail below by way of examples.

[0037] An upward continuation based least squares downward continuation analysis method for air gravity, based on the Taylor series expansion model, converts the downward continuation calculation process of air gravity into upward continuation calculation and vertical partial derivative calculation, Include the following steps:

[0038] Step 1. Based on the Taylor series expansion model, establish the analytical relationship between the upward continuation and downward continuation of aviation gravity and the vertical partial derivatives of each order of gravity anomaly at the height of the survey line.

[0039] In this step, assume that the altitude is h o The gravitational anomaly at point O on the earth's surface is Δg o , it is known that the corresponding flight height surface h p The gravity anomaly in the air at (point P) is Δg p , then it can be seen from the Taylor series expan...

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Abstract

The present invention relates to an analytical method of air gravity least squares downward continuation based on upward continuation. Its main technical features include: according to the Taylor series expansion model, the establishment of air gravity upward continuation and downward continuation and survey line height The analytical relationship of each order vertical partial derivative of the upper gravity anomaly; through the Poisson integral formula upward continuation of the airborne gravity data, the gravity anomaly value at each height is obtained, and the vertical partial derivatives of each order gravity anomaly at the height of the survey line are calculated based on the least squares theory. Substituting the vertical partial derivatives of each order into the Taylor series expansion to realize the downward continuation and stable solution. The present invention converts the downward continuation and calculation process of aviation gravity into two steps of upward continuation calculation and vertical partial derivative calculation. The step-by-step processing successfully realizes the stable solution of the downward continuation inverse problem, and better solves the inherent ill-posed problem of the downward continuation solution.

Description

technical field [0001] The invention belongs to the technical field of marine gravity, in particular to an upward continuation-based aviation gravity least squares downward continuation analysis method. Background technique [0002] The upward and downward continuation of the airborne gravity potential field is one of the most important technical links in the application of geophysical and geodetic data analysis. The purpose of the downward continuation of the airborne gravity potential field is to extrapolate the data observation surface to be closer to the source body of the potential field, and to highlight the earth’s Locally variable features of the gravity field to improve the reliability of inferences from potential field data interpretation. However, the downward continuation of air gravity is a typical ill-posed inverse problem in mathematics, and its continuation operator has an obvious amplification effect on high-frequency noise, and small observation noise will...

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G06F17/13G06F17/18
CPCG06F17/13G06F17/18
Inventor 邓凯亮黄谟涛陆秀平吴太旗黄辰虎王耿峰陈欣
Owner THE CHINESE PEOPLES LIBERATION ARMY 92859 TROOPS
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