CN110261912A - The interpolation and denoising method and system of a kind of seismic data - Google Patents
The interpolation and denoising method and system of a kind of seismic data Download PDFInfo
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- CN110261912A CN110261912A CN201910664806.3A CN201910664806A CN110261912A CN 110261912 A CN110261912 A CN 110261912A CN 201910664806 A CN201910664806 A CN 201910664806A CN 110261912 A CN110261912 A CN 110261912A
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01V—GEOPHYSICS; GRAVITATIONAL MEASUREMENTS; DETECTING MASSES OR OBJECTS; TAGS
- G01V1/00—Seismology; Seismic or acoustic prospecting or detecting
- G01V1/28—Processing seismic data, e.g. for interpretation or for event detection
- G01V1/36—Effecting static or dynamic corrections on records, e.g. correcting spread; Correlating seismic signals; Eliminating effects of unwanted energy
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01V—GEOPHYSICS; GRAVITATIONAL MEASUREMENTS; DETECTING MASSES OR OBJECTS; TAGS
- G01V2210/00—Details of seismic processing or analysis
- G01V2210/30—Noise handling
- G01V2210/32—Noise reduction
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01V—GEOPHYSICS; GRAVITATIONAL MEASUREMENTS; DETECTING MASSES OR OBJECTS; TAGS
- G01V2210/00—Details of seismic processing or analysis
- G01V2210/40—Transforming data representation
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Abstract
The invention discloses a kind of interpolation of seismic data and denoising method and system.This method comprises: obtaining the seismic data of Noise；Regular parameter sequence is determined according to the seismic data of the Noise；Regular parameter in the regular parameter sequence is sequentially reduced；The seismic data of interpolation and denoising after calculating sparse transformation according to the regular parameter sequence；Seismic data by sparse transformation method, after interpolation and denoising are calculated according to the seismic data of interpolation and denoising after sparse transformation.The present invention can be directed to the random noise of different-energy, realize interpolation and the denoising simultaneously of full automatic seismic data, avoid manual adjustment parameter, save human cost, computing resource and calculating time.
Description
Technical field
The present invention relates to seismic data noise attenuation fields, interpolation and denoising method more particularly to a kind of seismic data and are
System.
Background technique
In seismic data acquisition process, due to the limitation of surface obstructions object and cost, the presence in river, lake etc. makes
The seismic data that must be acquired is not able to satisfy the design of observation system, the case where seismic data missing often occurs；In addition, based on pressure
The earthquake data acquisition of contracting perception theory can be random arrangement wave detector, therefore obtain the data of undersampling.Above-mentioned acquisition
Imperfect seismic data is required to recover the seismic data of complete sample using seismic data interpolation technique.Meanwhile it making an uproar at random
Sound is generally existing in seismic exploration data, therefore often contains random noise in acquiring incomplete seismic data.Containing with
Interpolation and denoising can realize two problems of interpolation and denoising in a process while seismic data of machine noise, for
The reconstruction efficiency for improving seismic data is of great significance.It can be realized to contain currently based on the interpolation method of sparse transformation and make an uproar at random
Interpolation and denoising while sound data.But currently based on interpolation while the seismic data of 1 norm regularization and denoising method
The energy for noise is needed, the artificial suitable threshold parameter of selection could obtain reliable effect for different data.
Since seismic exploration data amount is big, noise energy is different, the method for artificial selection threshold parameter can expend a large amount of computing resource,
Human cost, time cost.
Summary of the invention
The object of the present invention is to provide a kind of interpolation of seismic data and denoising method and system, can be directed to different-energy
Random noise, realize full automatic seismic data simultaneously interpolation and denoising, avoid manual adjustment parameter, save manpower at
This, computing resource and calculating time.
To achieve the above object, the present invention provides following schemes:
A kind of interpolation and denoising method of seismic data, the interpolation and denoising method include:
Obtain the seismic data of Noise；
Regular parameter sequence is determined according to the seismic data of the Noise；Regular parameter in the regular parameter sequence
It is sequentially reduced；
The seismic data of interpolation and denoising after calculating sparse transformation according to the regular parameter sequence；
By sparse transformation method, after calculating interpolation and denoising according to the seismic data of interpolation and denoising after sparse transformation
Seismic data.
Optionally, the seismic data according to the Noise determines regular parameter sequence, specifically includes:
Sparse transformation is carried out to the seismic data of the Noise；
Maximum regular parameter in the regular sequence is determined according to the seismic data of the Noise after sparse transformation.
Optionally, the seismic data of the interpolation after the calculating sparse transformation according to the regular parameter sequence and denoising,
It specifically includes:
Obtain Optimized model；The optimal solution of the Optimized model be sparse transformation after interpolation and denoising seismic data；
Multiple solutions of the Optimized model are calculated according to the regular parameter sequence；
Multiple control parameters are calculated according to the regular parameter sequence and the solution of the Optimized model；Maximum control parameter
The solution of corresponding Optimized model is the optimal solution.
A kind of interpolation and denoising system of seismic data, the interpolation and denoising system include:
Module is obtained, for obtaining the seismic data of Noise；
Determining module, for determining regular parameter sequence according to the seismic data of the Noise；The regular parameter sequence
Regular parameter in column is sequentially reduced；
First computing module, for the earthquake according to interpolation and denoising after regular parameter sequence calculating sparse transformation
Data；
Second computing module, for passing through sparse transformation method, according to the earthquake number of interpolation and denoising after sparse transformation
According to the seismic data after calculating interpolation and denoising.
Optionally, the determining module, specifically includes:
Sparse transformation unit carries out sparse transformation for the seismic data to the Noise；
Determination unit, it is maximum in the regular sequence for being determined according to the seismic data of the Noise after sparse transformation
Regular parameter.
Optionally, first computing module, specifically includes:
Acquiring unit, for obtaining Optimized model；The optimal solution of the Optimized model is the interpolation after sparse transformation and goes
The seismic data made an uproar；
Computing unit, for calculating multiple solutions of the Optimized model according to the regular parameter sequence；
Control parameter computing unit, it is multiple for being calculated according to the solution of the regular parameter sequence and the Optimized model
Control parameter；The solution of the corresponding Optimized model of maximum control parameter is the optimal solution.
Compared with prior art, the present invention has following technical effect that the present invention according to the seismic data of the Noise
Determine regular parameter sequence；The seismic data of interpolation and denoising after calculating sparse transformation according to the regular parameter sequence；It is logical
Sparse transformation method is crossed, the earthquake number after interpolation and denoising are calculated according to the seismic data of interpolation and denoising after sparse transformation
According to.This method automatically determines regular parameter using the thought of inversion theory, therefore can automatically realize the same of seismic data
When interpolation and denoising, the present invention can save cost of labor, calculate cost and time cost, so that seismic data is slotting simultaneously
Value and denoising become an automatic process.
Detailed description of the invention
It in order to more clearly explain the embodiment of the invention or the technical proposal in the existing technology, below will be to institute in embodiment
Attached drawing to be used is needed to be briefly described, it should be apparent that, the accompanying drawings in the following description is only some implementations of the invention
Example, for those of ordinary skill in the art, without any creative labor, can also be according to these attached drawings
Obtain other attached drawings.
Fig. 1 is the flow chart of the interpolation and denoising method of seismic data of the embodiment of the present invention；
Fig. 2 is the original schematic diagram without noise simulation data；
Fig. 3 is one Noise seismic data of embodiment, signal-to-noise ratio=0.5333dB schematic diagram；
Fig. 4 is the seismic data that embodiment one samples, the schematic diagram that sample rate is 70%；
Fig. 5 is one adaptive-interpolation of embodiment and denoising result, signal-to-noise ratio=9.0824db schematic diagram；
Fig. 6 is the schematic diagram of two Noise Data of embodiment；
Fig. 7 is the schematic diagram of the sampled data of embodiment 2 60%；
Fig. 8 is the schematic diagram of embodiment two full-automatic interpolation and denoising simultaneously；
Fig. 9 is the schematic diagram for the noise that two automatic interpolation of embodiment and denoising method remove；
Figure 10 is the interpolation of seismic data and the structural block diagram of denoising system.
Specific embodiment
Following will be combined with the drawings in the embodiments of the present invention, and technical solution in the embodiment of the present invention carries out clear, complete
Site preparation description, it is clear that described embodiments are only a part of the embodiments of the present invention, instead of all the embodiments.It is based on
Embodiment in the present invention, it is obtained by those of ordinary skill in the art without making creative efforts every other
Embodiment shall fall within the protection scope of the present invention.
The object of the present invention is to provide a kind of interpolation of seismic data and denoising method and system, can be directed to different-energy
Random noise, realize full automatic seismic data simultaneously interpolation and denoising, avoid manual adjustment parameter, save manpower at
This, computing resource and calculating time.
In order to make the foregoing objectives, features and advantages of the present invention clearer and more comprehensible, with reference to the accompanying drawing and specific real
Applying mode, the present invention is described in further detail.
As shown in Figure 1, the interpolation and denoising method of a kind of seismic data include:
Step 101: obtaining the seismic data of Noise.
Step 102: regular parameter sequence is determined according to the seismic data of the Noise；In the regular parameter sequence
Regular parameter is sequentially reduced.It specifically includes:
Sparse transformation is carried out to the seismic data of the Noise；
Maximum regular parameter in the regular sequence is determined according to the seismic data of the Noise after sparse transformation.
Step 103: the seismic data of interpolation and denoising after calculating sparse transformation according to the regular parameter sequence.Specifically
Include:
Obtain Optimized model；The optimal solution of the Optimized model be sparse transformation after interpolation and denoising seismic data；
Multiple solutions of the Optimized model are calculated according to the regular parameter sequence；
Multiple control parameters are calculated according to the regular parameter sequence and the solution of the Optimized model；Maximum control parameter
The solution of corresponding Optimized model is the optimal solution.
Step 104: by sparse transformation method, interpolation being calculated according to the seismic data of interpolation and denoising after sparse transformation
With the seismic data after denoising.
The principle of this method is as follows:
Assuming that seismic data is d, noise ε, seismic data sample operator is Φ, the noise-containing seismic data of observation
For dobs, relationship between three are as follows:
Φ d+ ε=dobs (1)
Interpolation and denoising are exactly by observation Noise Data d to seismic data simultaneouslyobsSeek the d of not Noise.According to sparse
The denoising method of transformation, this patent is using warp wavelet as sparse transformation, then expression x=Ψ d of the d after sparse transformation is
Sparse, therefore above formula becomes:
ΦΨ*X+ ε=dobs (2)
Wherein Ψ indicates warp wavelet (can be two dimension, be also possible to three-dimensional), Ψ*Indicate the inverse transformation of warp wavelet,
Due to the sparsity of x, optimization problem below is established:
Wherein λiReferred to as regular parameter, A=Φ Ψ*, A is compound, the x of sample operator Φ and warp wavelet operator ΨiIt indicates
By regular parameter λiDetermining seismic data warp wavelet domain coefficient, | | xi||1Indicate xi1 norm.
Give a regular parameter sequence λ being gradually reduced1> λ2> λ3> ... > λN, decline mode can be index side
Formula is also possible to linear mode, λ1Take Ψ dobs(ΨdobsIt indicates to observation data dobsDo warp wavelet) maximum value
1/2, other ratios such as 1/3 or 2/3, λNFor one close to 0 positive real number, N indicate sequence length.
For problemDefinition initial solution is x0=dobs；Using iteration method to its into
Primary solve of row obtains x1=soft (x0+AT(dobs-Ax0),λ1), soft (x, λ)=sign (x) .*max (abs (x)-λ, 0) table
Show and soft-threshold operation is carried out to each component of x, it can also be using hard -threshold and other threshold operations；For each λi, i=
2 ..., N equally use iteration method pairIt carries out primary solve and obtains xi=soft (xi-1+
AT(dobs-Axi-1),λi), wherein xi-1For with iteration method pairAn iteration is carried out to obtain
The approximate solution arrived.
DefinitionWork as Pi(PiIt is a customized parameter, is automatically stopped for control algolithm) it obtains
When maximum, result d=Ψ is exported*xi, d is the result of interpolation and denoising simultaneously.
Embodiment one: Fig. 2 is the simulation seismic data of a not Noise, size of data 726*96, and time shaft has 726
A sampled point, time sampling interval 4ms, Fig. 3 are to increase noise to Fig. 2 as a result, signal-to-noise ratio is 0.5333dB, and Fig. 4 is pair
The result of Fig. 3 stochastical sampling 70%；Fig. 5 is adaptive-interpolation and denoising result, signal-to-noise ratio 9.0824dB, proposed by the present invention
Automatic interpolation and denoising method do not have to adjust any parameter, can obtain reliable interpolation and denoising result.
Embodiment two: for the true seismic data of a 276*400, Temporal sampling 4ms, time sampling number
Be 276, spatially there is 400, original Noise Data as shown in fig. 6, its sampling 60% result such as Fig. 7, automatic interpolation and
The denoising result of denoising is shown in that the difference of Fig. 8, Fig. 6 and Fig. 8 are shown in Fig. 9, it can be seen that this method can be realized automatic interpolation and denoising.
The specific embodiment provided according to the present invention, the invention discloses following technical effects: the present invention contains according to described
The seismic data of noise determines regular parameter sequence；Interpolation and denoising after calculating sparse transformation according to the regular parameter sequence
Seismic data；By sparse transformation method, interpolation is calculated according to the seismic data of interpolation and denoising after sparse transformation and is gone
Seismic data after making an uproar.This method automatically determines regular parameter using the thought of inversion theory, therefore can automatically realize
Interpolation and denoising while seismic data, the present invention can save cost of labor, cost and time cost be calculated, so that ground
Interpolation and denoising become an automatic process to shake data simultaneously.
As shown in Figure 10, a kind of interpolation of seismic data and denoising system include:
Module 1001 is obtained, for obtaining the seismic data of Noise.
Determining module 1002, for determining regular parameter sequence according to the seismic data of the Noise；The canonical ginseng
Regular parameter in Number Sequence is sequentially reduced.
The determining module 1002, specifically includes:
Sparse transformation unit carries out sparse transformation for the seismic data to the Noise；
Determination unit, it is maximum in the regular sequence for being determined according to the seismic data of the Noise after sparse transformation
Regular parameter.
First computing module 1003, for according to the interpolation and denoising after regular parameter sequence calculating sparse transformation
Seismic data.
First computing module 1003, specifically includes:
Acquiring unit, for obtaining Optimized model；The optimal solution of the Optimized model is the interpolation after sparse transformation and goes
The seismic data made an uproar；
Computing unit, for calculating multiple solutions of the Optimized model according to the regular parameter sequence；
Control parameter computing unit, it is multiple for being calculated according to the solution of the regular parameter sequence and the Optimized model
Control parameter；The solution of the corresponding Optimized model of maximum control parameter is the optimal solution.
Second computing module 1004, for passing through sparse transformation method, according to the ground of interpolation and denoising after sparse transformation
It shakes data and calculates the seismic data after interpolation and denoising.
Each embodiment in this specification is described in a progressive manner, the highlights of each of the examples are with other
The difference of embodiment, the same or similar parts in each embodiment may refer to each other.For system disclosed in embodiment
For, since it is corresponded to the methods disclosed in the examples, so being described relatively simple, related place is said referring to method part
It is bright.
Used herein a specific example illustrates the principle and implementation of the invention, and above embodiments are said
It is bright to be merely used to help understand method and its core concept of the invention；At the same time, for those skilled in the art, foundation
Thought of the invention, there will be changes in the specific implementation manner and application range.In conclusion the content of the present specification is not
It is interpreted as limitation of the present invention.
Claims (6)
1. the interpolation and denoising method of a kind of seismic data, which is characterized in that the interpolation and denoising method include:
Obtain the seismic data of Noise；
Regular parameter sequence is determined according to the seismic data of the Noise；Regular parameter in the regular parameter sequence is successively
Reduce；
The seismic data of interpolation and denoising after calculating sparse transformation according to the regular parameter sequence；
Ground by sparse transformation method, after interpolation and denoising are calculated according to the seismic data of interpolation and denoising after sparse transformation
Shake data.
2. the interpolation and denoising method of seismic data according to claim 1, which is characterized in that described according to described noisy
The seismic data of sound determines regular parameter sequence, specifically includes:
Sparse transformation is carried out to the seismic data of the Noise；
Maximum regular parameter in the regular sequence is determined according to the seismic data of the Noise after sparse transformation.
3. the interpolation and denoising method of seismic data according to claim 1, which is characterized in that described according to the canonical
The seismic data of interpolation and denoising after argument sequence calculating sparse transformation, specifically includes:
Obtain Optimized model；The optimal solution of the Optimized model be sparse transformation after interpolation and denoising seismic data；
Multiple solutions of the Optimized model are calculated according to the regular parameter sequence；
Multiple control parameters are calculated according to the regular parameter sequence and the solution of the Optimized model；Maximum control parameter is corresponding
Optimized model solution be the optimal solution.
4. the interpolation and denoising system of a kind of seismic data, which is characterized in that the interpolation and denoising system include:
Module is obtained, for obtaining the seismic data of Noise；
Determining module, for determining regular parameter sequence according to the seismic data of the Noise；In the regular parameter sequence
Regular parameter be sequentially reduced；
First computing module, for the earthquake number according to interpolation and denoising after regular parameter sequence calculating sparse transformation
According to；
Second computing module, for passing through sparse transformation method, according to the seismic data meter of interpolation and denoising after sparse transformation
Seismic data after calculating interpolation and denoising.
5. the interpolation and denoising system of seismic data according to claim 1, which is characterized in that the determining module, tool
Body includes:
Sparse transformation unit carries out sparse transformation for the seismic data to the Noise；
Determination unit, for determining maximum canonical in the regular sequence according to the seismic data of the Noise after sparse transformation
Parameter.
6. the interpolation and denoising system of seismic data according to claim 4, which is characterized in that described first calculates mould
Block specifically includes:
Acquiring unit, for obtaining Optimized model；The optimal solution of the Optimized model is the interpolation and denoising after sparse transformation
Seismic data；
Computing unit, for calculating multiple solutions of the Optimized model according to the regular parameter sequence；
Control parameter computing unit, for calculating multiple controls according to the solution of the regular parameter sequence and the Optimized model
Parameter；The solution of the corresponding Optimized model of maximum control parameter is the optimal solution.
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Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN111007566A (en) * | 2019-12-27 | 2020-04-14 | 西南石油大学 | Curvature-driven diffusion full-convolution network seismic data bad channel reconstruction and denoising method |
| CN117055107A (en) * | 2023-06-29 | 2023-11-14 | 成都理工大学 | Seismic interpolation method based on interaction of Framelet transformation and Lp pseudo-norms |
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2019
- 2019-07-23 CN CN201910664806.3A patent/CN110261912B/en active Active
Cited By (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN111007566A (en) * | 2019-12-27 | 2020-04-14 | 西南石油大学 | Curvature-driven diffusion full-convolution network seismic data bad channel reconstruction and denoising method |
| CN117055107A (en) * | 2023-06-29 | 2023-11-14 | 成都理工大学 | Seismic interpolation method based on interaction of Framelet transformation and Lp pseudo-norms |
| CN117055107B (en) * | 2023-06-29 | 2024-04-09 | 成都理工大学 | Seismic interpolation method based on interaction of Framelet transformation and Lp pseudo-norms |
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