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Joint inversion method of gravity and magnetic data based on correlation constraints of sinusoidal function

A technology of joint inversion and constraint conditions, which is applied in the directions of acoustic re-radiation, electric/magnetic exploration, and measurement devices, can solve problems such as singularity, inapplicability, and limited applicability, so as to improve applicability and improve Stability and wide applicability

Inactive Publication Date: 2019-04-16
JILIN UNIV
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Problems solved by technology

The present invention has been researched and improved based on the second type of joint inversion method. We have noticed that the conventional correlation-based constraints are essentially related to the cosine function composed of two parameter vectors, and there is a denominator in the expression, which makes the inversion efficient. risk of singularity
In addition, the conventional correlation-based constraint is to calculate the correlation coefficient of the density parameter and the magnetic parameter, which makes the conventional correlation constraint method inapplicable in some cases, for example, the density parameter and the magnetic parameter of the geological body are not always the same in the whole world. The locally correlated but globally irrelevant situation caused by the number, this global irrelevance limits the applicability of conventional correlation-based constraints

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  • Joint inversion method of gravity and magnetic data based on correlation constraints of sinusoidal function
  • Joint inversion method of gravity and magnetic data based on correlation constraints of sinusoidal function
  • Joint inversion method of gravity and magnetic data based on correlation constraints of sinusoidal function

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[0048] The present invention will be described in further detail below in conjunction with the accompanying drawings and examples.

[0049] A method for jointly inverting gravity and magnetic data based on correlation constraints of a sinusoidal function, comprising the following steps:

[0050] a. Input the observed gravity data g and magnetic data T, the gravity data g and magnetic data T are given by the theoretical model, the theoretical density model and magnetization model are as follows figure 2 (a) and 1(b), they are generated by the forward calculation of the density model and the theoretical model of magnetization. The top buried depths of No. 1 and No. 5 anomalous bodies are both 200m, and the buried depth of No. 4 anomalous body is 300m. The density difference between No. 1, No. 2 and No. 5 anomalous bodies is 1g / cm 3 , the density difference between No. 3 and No. 4 anomalous body is -1g / cm 3 . The geometry, size, and location of the magnetization model are rel...

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Abstract

The invention relates to a joint inversion method of gravity and magnetic data based on correlation constraints of a sinusoidal function. A method using the square of a density parameter and the square of a magnetic parameter to replace the density parameter and the magnetic parameter is put forward. The sinusoidal function is related to the cross-multiplication of two parameter vectors and the expression and the derivative become simple and visual, so that the stability of the joint inversion is improved effectively. Compared with the prior art, the method has the following advantages: the correlation constraint of the sinusoidal function is applied to the joint inversion method of the gravity and magnetic data and the occurrence of the singularity is avoided effectively when the conjugate gradient algorithm is used for solving the optimal solution of the objective function, so that the joint inversion stability is improved. When the new correlation constraint condition is calculated,the method using the square of a density parameter and the square of a magnetic parameter to replace the density parameter and the magnetic parameter is employed and thus the method is also suitablefor the condition of local correlation but global un-correlation caused by non-same-number changing of the density parameter and the magnetic parameter of the global geologic body, so that the methodhas a wide application range.

Description

technical field [0001] The invention relates to a joint inversion method of gravity and magnetic data, which is mainly based on the conventional Pearson correlation concept in statistics, and proposes a correlation constraint condition based on a sine function, and replaces it with the square of the density parameter and the square of the magnetic parameter The density parameters and magnetic parameters are constrained structurally, which improves the stability and applicability of the inversion. Background technique: [0002] The 3D physical property inversion technology of gravity and magnetic data is developing vigorously, and the inversion results are of great significance to mineral development and disaster prevention and control. However, Tikhonov et al. (1977. Methods for solving ill-posed problems (p.12). John Wiley and Sons, Inc.) pointed out that there are inherent multi-solution problems in the inversion of gravity and magnetic equipotential field data. In order t...

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Application Information

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IPC IPC(8): G01V3/38
CPCG01V3/38
Inventor 高秀鹤曾昭发孙思源鹿琪李静
Owner JILIN UNIV
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