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Calculation method of point spread function

A technology of point spread function and calculation method, applied in the field of seismic data processing and seismic data migration imaging, can solve problems such as large interpolation error and inability to guarantee calculation accuracy, and achieve the effect of ensuring calculation accuracy and improving calculation efficiency

Pending Publication Date: 2021-12-17
CHINA PETROLEUM & CHEM CORP +1
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Problems solved by technology

Considering that the obtained discrete PSF cannot be overlapped, the sparsity is often thousands or even tens of thousands of the imaging space, resulting in large interpolation errors in the later stage, and the calculation accuracy cannot be guaranteed.

Method used

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  • Calculation method of point spread function
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  • Calculation method of point spread function

Examples

Experimental program
Comparison scheme
Effect test

Embodiment

[0077] (1) Perform PSF calculation test at a constant speed of 3000m / s. The imaging space is a two-dimensional space. The sparse points used in the comparison test are distributed at equal intervals. The spatial distribution is the starting point at the position of (200m, 200m), x and z The increments in direction are 400m respectively.

[0078] (2) Use the demigration-migration method and the method of the present invention to calculate the PSF of discrete points respectively, and the calculation results are as follows figure 1 , figure 2 shown.

[0079] (3) Select several typical locations for comparison of the results shown in (2), such as image 3 , Figure 4 , Figure 5 As shown, it can be seen by comparison that the PSF calculated by the method of the present invention is completely consistent with the form of the traditional method.

[0080] (4) Comparing the method of the present invention with the traditional demigration-migration calculation time, the results a...

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Abstract

The invention provides a calculation method of a point spread function. The method comprises the following steps of: (1) reading a speed model and an observation system, selecting any shot point and any detection point, and respectively determining space coordinates of the shot point and the detection point; (2) calculating ray tracing of the selected shot points and detection point to the underground space; and (3) circulating the underground target spatial position through a given seismic source function, and calculating in the local neighborhood of each target spatial position according to the following formula, wherein each unit of the Hessian matrix is a point spread function. According to the method, an analytical expression of the PSF is obtained through high-frequency approximation, and the method capable of calculating the PSF of any spatial point location without deviation or interpolation is provided. According to the method, the calculation efficiency of the PSF is greatly improved while the calculation precision is ensured.

Description

technical field [0001] The invention relates to the field of seismic data processing, in particular to the field of seismic data migration imaging. Background technique [0002] The physical meaning of Point Scatter Function (PSF) is the seismic imaging response of a single underground diffraction point, which is the basis of seismic imaging data. Obtaining the point spread function can be used to obtain imaging results directly through the underground model. Seismic forward modeling, It is also possible to obtain the Hessian matrix (Hessian matrix) by interpolation and then perform inversion to obtain the reflection coefficient. [0003] The relationship between the existing seismic data and the subsurface model can be expressed as the following equation: [0004] d=Lm, [0005] Among them, d is the observation data, m is the subsurface model, which usually refers to the reflection coefficient, and L is the mapping matrix from the model to the data. In seismic exploratio...

Claims

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Application Information

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IPC IPC(8): G01V1/36
CPCG01V1/36
Inventor 白英哲段心标
Owner CHINA PETROLEUM & CHEM CORP
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