Seismic data interpolation method and device
A technology of seismic data and interpolation method, which is applied in the direction of seismic signal processing, etc., can solve the problems of large amount of calculation, slow calculation speed, large amount of seismic data interpolation data, etc., and achieve the effect of improving calculation efficiency and interpolation quality
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Embodiment 1
[0034] Such as figure 1 As shown, it is a schematic flow chart of a seismic data interpolation method provided by an embodiment of the present invention, consisting of figure 1 Visible, this method comprises the following steps:
[0035] Step S102: Obtain the seismic data to be interpolated and the sampling matrix.
[0036] Here, the seismic data to be interpolated may be seismic data obtained after preprocessing the acquired original seismic data. First, it is necessary to obtain the seismic data to be interpolated and the adoption matrix corresponding to the seismic data.
[0037] Step S104: Establish a sparse inversion model regularized by the arctangent function according to the seismic data and the sampling matrix.
[0038]Establishing a sparse inversion model based on the arctangent function belongs to the sparse inversion model regularized by non-convex functions. In one possible implementation, the sparse inversion model can be:
[0039]
[0040] In the formula,...
Embodiment 2
[0054] In order to better understand the seismic data interpolation method provided by the above-mentioned embodiment 1 and reflect the effect achieved by this method, this embodiment 2 introduces an example of interpolation using the above-mentioned seismic data interpolation method and a three-dimensional reconstruction example.
[0055] First, the interpolation steps using the above-mentioned seismic data interpolation method include:
[0056] Step 1: Input the seismic data d to be interpolated and the sampling matrix P;
[0057] Step 2: Establish a sparse inversion model regularized by the arctangent function.
[0058]
[0059] Among them, min means to minimize, J α (x) is an objective function, and C is the inverse of the curvelet transform, and x is the coefficient of the seismic data to be solved in the curvelet domain, and := means that it is defined as, Indicates an arctangent function of the i-th component of the coefficient of the seismic data in the curvelet ...
Embodiment 3
[0075] The embodiment of the present invention also provides a seismic data interpolation device, see Figure 5 , is a schematic diagram of the structure of the device, by Figure 5 It can be seen that the device includes a data acquisition module 51 , a sparse inversion model establishment module 52 , an interpolation seismic data acquisition module 53 and an interpolation seismic data output module 54 which are sequentially connected. Among them, the functions of each module are as follows:
[0076] Data acquisition module 51, used to acquire seismic data and sampling matrix to be interpolated;
[0077] The sparse inversion model building module 52 is used to establish a sparse inversion model regularized by the arctangent function according to the seismic data and the sampling matrix;
[0078] The interpolation seismic data obtaining module 53 is used to obtain the optimal solution of the sparse inversion model to obtain the interpolated seismic data;
[0079] The interp...
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