Point-to-point downward continuation analysis method of aviation gravity based on upward continuation

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

Active Publication Date: 2021-03-16
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 a point-to-point downward continuation analysis method based on upward continuation of aviation gravity, and to solve the ill-posed problem of downward continuation of aviation gravity

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  • Point-to-point downward continuation analysis method of aviation gravity based on upward continuation
  • Point-to-point downward continuation analysis method of aviation gravity based on upward continuation
  • Point-to-point downward continuation analysis method of aviation gravity based on upward continuation

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Embodiment Construction

[0029] The present invention is described in further detail below by way of examples.

[0030] A point-to-point downward continuation analysis method for air gravity based on upward continuation, comprising the following steps:

[0031] Step 1. Based on the idea of ​​Taylor series expansion, establish a point-to-point analytical continuation model between the upward continuation and downward continuation of aviation gravity.

[0032] 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 expansion model that Δg o and Δg p The relationship between can be expressed as:

[0033]

[0034] In the formula, Δh po = h p -h o Represents the height difference between point P in space and point O on the ground; Represents the gravity anomaly Δg in the air p ...

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Abstract

The invention relates to an upward continuation-based airborne gravity point-to-point downward continuation analysis algorithm. The main technical characteristic of the algorithm comprises the following steps of: establishing a point-to-point analysis continuation model between upward continuation and downward continuation of airborne gravity according to a Taylor series expansion thought; and carrying out airborne gravity stable upward continuation by utilizing a Poisson integral equation, and carrying out inverse solution on airborne gravity downward continuation on the basis of the point-to-point analysis continuation model. The algorithm is reasonable in design, is capable of realizing stable solution of airborne gravity downward continuation inverse problems, effectively solving inherent ill-posed problems of downward continuation solution and carrying out numerical verification on rationality and effectiveness of a solution result of a least square downward continuation analysismodel by utilizing simulated standard field data established by an ultrahigh-exponent bit model EGM2008; and experiments prove that the algorithm is practical and easy to do and has a relatively highapplication value.

Description

technical field [0001] The invention belongs to the technical field of marine gravity, in particular to a point-to-point downward continuation analysis method of aviation gravity based on upward continuation. 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 nois...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G06F17/11
CPCG06F17/11
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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