Airborne-gravity least-square downward-continuation analysis algorithm 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: 2018-08-17
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 aerogravity least squares downward continuation analysis algorithm based on upward continuation, and to solve the ill-posed problem of the downward continuation of aerogravity

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  • Airborne-gravity least-square downward-continuation analysis algorithm based on upward continuation
  • Airborne-gravity least-square downward-continuation analysis algorithm based on upward continuation
  • Airborne-gravity least-square downward-continuation analysis algorithm based on upward continuation

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

[0037] An aeronautical gravity least squares downward continuation analysis algorithm based on upward continuation. According to the Taylor series expansion model, the process of aeronautical gravity downward continuation is converted 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 Tay...

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Abstract

The invention relates to an airborne-gravity least-square downward-continuation analysis algorithm based on upward continuation. The main technical characteristics of the algorithm include: establishing analysis relationships of airborne-gravity upward-continuation and downward-continuation and vertical partial derivatives of each order of gravity anomalies on survey line heights according to a Taylor series expansion model; and upwardly continuing airborne-gravity data through a Poisson integral formula to obtain a gravity anomaly value on each height, calculating the vertical partial derivatives of each order of the gravity anomalies on the survey line heights on the basis of a least-square theory, and substituting the vertical partial derivatives of each order into a Taylor series expansion formula to realize stable calculation of downward continuation. According to the algorithm, an airborne-gravity downward-continuation calculation process is converted into two steps of upward-continuation calculation and vertical-partial-derivative calculation, interference of data observation noises on a calculation result is effectively suppressed through processing of the first step, stable calculation of the inverse problem of downward continuation is successfully realized through processing of the second step, and the inherent ill-posed-nature problem of downward-continuation calculation is better solved.

Description

technical field [0001] The invention belongs to the technical field of marine gravity, in particular to an aerogravity least squares downward continuation analysis algorithm 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 noise wil...

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Application Information

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Patent Type & Authority Applications(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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