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3D Gauss-FFT based gravity field forward modeling method

A three-dimensional gravity and three-dimensional technology, applied in the field of exploration geophysics, can solve the problems of poor calculation accuracy and low forward modeling efficiency, and achieve the effects of improving forward modeling accuracy, ensuring forward modeling calculation efficiency, and suppressing spooky source effects

Inactive Publication Date: 2018-12-11
CENT SOUTH UNIV
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  • Application Information

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Problems solved by technology

[0004] The purpose of the present invention is to provide a three-dimensional gravity field forward modeling method based on Gauss-FFT, which solves the technical problems of low forward modeling efficiency and poor calculation accuracy of the existing three-dimensional gravity field forward modeling algorithm in the Cartesian coordinate system

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  • 3D Gauss-FFT based gravity field forward modeling method
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  • 3D Gauss-FFT based gravity field forward modeling method

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Embodiment 1

[0155] The above-mentioned model is processed by using the method provided by the present invention to carry out the 2-point 3D Gauss-FFT method.

Embodiment 2

[0157] The above-mentioned model is processed by using the method provided by the present invention to carry out the 4-point 3D Gauss-FFT method.

Embodiment 3

[0159] The above-mentioned model is processed by using the method provided by the present invention to perform 8-point 3D Gauss-FFT method.

[0160] The calculation time, maximum absolute error and required memory results of Examples 1-3 and Comparative Examples 1-6 are listed in Table 1. The obtained forward results are as Figure 5 In (a) ~ (h) shown.

[0161] Figure 5 (a) and Figure 5 (b) It can be seen that the forward modeling results using traditional 2D and 3D FFT methods are significantly underestimated. Compared with the spatial domain analytical solution, the gravity anomaly distribution obtained by the traditional frequency domain forward modeling method has a large distortion, especially the traditional 3D FFT method. from Figure 5 (e) and Figure 5 (f) It can be seen that the maximum absolute errors are 4.5mGal and 9mGal respectively.

[0162] Figure 5 (c) and Figure 5 (d) shows the forward modeling results using the 4-node 2D Gauss-FFT method and th...

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Abstract

The invention provides a 3D Gauss-FFT based gravity field forward modeling method. The method comprises the following steps: S100, modeling a three-dimensional field source; S200, carrying out 3D Gauss-FFT forward transform to calculate the migration spectrum of a 3D gravity field; S300, carrying out inverse 3D Gauss-FFT transform to calculate a three-dimensional gravity field of a single Gaussiannode; S400, accumulating and summing to obtain the three-dimensional gravity field distribution. Firstly, a 3D Gauss-FFT algorithm is provided, in which Gaussian quadrature formula is used to replacethe traditional rectangular quadrature formula in every integral region, so the accuracy of 3D gravity field calculation is greatly improved. Meanwhile, the computational efficiency is guaranteed byusing the kernel of FFT algorithm. Model tests show that the forward accuracy of this method is comparable to that of the analytical solution in spatial domain.

Description

technical field [0001] The invention relates to the technical field of exploration geophysics, in particular to a three-dimensional gravity field forward modeling method based on 3D Gauss-FFT. Background technique [0002] As one of the most basic geophysical methods, gravity exploration has been widely used in solid mineral resource exploration, lithosphere crust and mantle structure research, topographic correction, geoid measurement, hydrogeological survey, archaeological survey, etc. The measured gravity field data is closely related to subsurface density anomalies, and can be directly used to invert to obtain subsurface three-dimensional density distribution, so as to deduce scientific issues such as subsurface tectonic movement and lithospheric structure. The speed and accuracy of forward modeling determine the feasibility and reliability of inversion. Therefore, in an efficient inversion program, fast and high-precision forward modeling algorithms are particularly imp...

Claims

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Application Information

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IPC IPC(8): G06F17/50G06F17/14
CPCG06F17/142G06F30/20
Inventor 赵广东柳建新
Owner CENT SOUTH UNIV
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