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Method for aviation gravity data interpolation, edge expansion and down extension integration

A technology of aviation gravity and data interpolation, applied in the measurement of gravitational fields, measuring devices, instruments, etc., can solve the problems of no blank data, low precision, regardless of data length requirements, etc., achieves less parameters, low complexity, and algorithmic Easy to use effect

Active Publication Date: 2018-12-07
中国人民解放军火箭军工程大学
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Problems solved by technology

The existing problems of the airborne gravity iterative extension method in the prior art include: only solving the problem of downward extension, it basically assumes that the input gravity data is a pure mathematical vector or matrix, that is, the data has no blanks; The down-delay, and most of them do not consider the requirements of the fast Fourier transform on the data length
Therefore, in the existing technology, the three problems of air gravity interpolation, edge expansion and descent are solved separately, and the accuracy is low. There is an urgent need for a synchronous high-precision method that can realize air gravity data interpolation, edge expansion and descent. Integrated solution

Method used

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  • Method for aviation gravity data interpolation, edge expansion and down extension integration
  • Method for aviation gravity data interpolation, edge expansion and down extension integration
  • Method for aviation gravity data interpolation, edge expansion and down extension integration

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Embodiment 1

[0040] Such as figure 1 As shown, an integrated method of interpolation, edge expansion and downward extension of aviation gravity data, the method includes:

[0041] Step 100: Obtain aviation gravity data g(x,y), zero-fill the missing data and boundary positions of the aviation gravity data g(x,y), and obtain zero-filled gravity data g′(x,y);

[0042] Step 200: Calculate the cut-off wave number C using the L-curve method K ;

[0043] Step 300: Perform two-dimensional Fourier transform processing on the zero-filled gravity data g′(x,y) to obtain the frequency spectrum G(u,v) of the zero-filled gravity data g′(x,y);

[0044] Step 400: Perform low-pass filtering processing on the frequency spectrum G(u,v) to obtain the spectral component G′(u,v) of the frequency spectrum G(u,v);

[0045] Step 500: Perform a two-dimensional inverse Fourier transform on the spectral component G′(u,v) to obtain inverse transform data;

[0046] Step 600: Fill the position with missing data in the aerial gravit...

Embodiment 2

[0058] Perform simulation experiments on the rectangular body weight model:

[0059] The theoretical model adopts the rectangular weight force field model. The length, width and height of the cuboid are 8km, 4km, and 4km respectively, the center buried depth is 3km, and the remaining density is 1.0t / m 3 . Forward calculation of gravity data on the ground (0km, 200×200 size) and 1km above the ground (256×256 size) are as follows: figure 2 with 3 As shown, the dashed box is the position of the cuboid. In order to simulate the actual situation and test the anti-noise ability of the method, give image 3 Adding Gaussian white noise with zero mean and variance of 0.01 to the gravity data, the signal-to-noise ratio is 39.63dB, and the result is as follows Figure 4 Shown. At the same time, in order to test the method's interpolation and edge expansion capabilities, the Figure 4 Each of the four boundaries is 28, a total of 25536 data and the internal part of data 40×50, a total of 2...

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Abstract

The invention discloses a method and system for aviation gravity data interpolation, edge expansion and down extension integration. The method comprises: acquiring aviation gravity data, carrying outzero filling on missing data and a boundary position of the aviation gravity data to obtain zero-filling gravity data; determining a maximum cutoff wave number by using an L-curve method, carrying outtwo-dimensional Fourier transform on the zero-filling gravity data, and calculating a frequency spectrum of the zero-filling gravity data; carrying out low-pass filtering on the spectrum to obtain aspectral component of the spectrum; and carrying out two-dimensional inverse Fourier transform on a transform interpolation and an expansion result to obtain a down extension result of the aviation gravity data. In order to solve problems of having data missing in actually measured gravity data and not meeting a data length requirement for fast Fourier transform by the data length of the gravity data, an integration solution is established by using a common feature of belonging to an ill-posed inverse problem by the gravity data interpolation, edge expansion and down extension, so that synchronous solution is realized.

Description

Technical field [0001] The invention relates to the field of aviation gravity measurement, in particular to an integrated method of aviation gravity data interpolation, edge expansion and downward extension. Background technique [0002] Airborne gravity measurement is a typical method to quickly and efficiently obtain gravity anomalies, but the acquisition is only the heading height. For many application fields such as geodetic surveying and gravity navigation, it is often necessary to obtain gravity anomalies on the ground or below the altitude of the route through the downward extension of aviation gravity. [0003] The downward continuation of the gravitational field is a classic ill-posed problem. The methods for solving this type of problem are divided into two categories: one is direct method, and the other is iterative method. The most classic inverse Poisson integration method for the downward extension of gravity has two forms: direct solution and iterative solution. Re...

Claims

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Application Information

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IPC IPC(8): G01V7/00
CPCG01V7/00
Inventor 曾小牛李夕海刘继昊牛超
Owner 中国人民解放军火箭军工程大学
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