CN106918836A - Borehole strain data exception extraction method based on principal component analysis - Google Patents

Borehole strain data exception extraction method based on principal component analysis Download PDF

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CN106918836A
CN106918836A CN201710205283.7A CN201710205283A CN106918836A CN 106918836 A CN106918836 A CN 106918836A CN 201710205283 A CN201710205283 A CN 201710205283A CN 106918836 A CN106918836 A CN 106918836A
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data
principal component
borehole strain
borehole
strain data
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CN106918836B (en
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朱凯光
池成全
于紫凝
张维辰
樊蒙璇
李凯艳
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Jilin University
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    • G01MEASURING; TESTING
    • G01VGEOPHYSICS; GRAVITATIONAL MEASUREMENTS; DETECTING MASSES OR OBJECTS; TAGS
    • G01V1/00Seismology; Seismic or acoustic prospecting or detecting
    • G01V1/01Measuring or predicting earthquakes

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Abstract

First it is that the borehole strain data sequence of the same station is carried out into strain conversion the present invention relates to a kind of borehole strain data exception extraction method based on principal component analysis, the data after conversion is pre-processed;By pretreated borehole strain data configuration an into matrix;And the matrix to every day carries out principal component analysis, to obtain the characteristic value and characteristic vector of each matrix;The characteristic value that will be obtained is corresponding with seismic events with the characteristic vector angle calculated, to obtain abnormal testing result.Borehole strain data can be analyzed using the method for principal component analysis effectively by the present invention, the correlation of item is respectively surveyed according to borehole strain, possible Earthquake Precursor Anomalies are extracted.Borehole strain data exception extraction method of the present invention, is respectively characterized the faint change of the earth's crust using the characteristic value in principal component analysis and characteristic vector angle;Realize the accurate extraction to borehole strain data exception in the case where there are stronger ambient interferences.

Description

Borehole strain data exception extraction method based on principal component analysis
Technical field
The present invention relates to a kind of seismic precursor observation data method for detecting abnormality, and in particular to one kind is based on principal component analysis Borehole strain data exception extraction method.
Background technology
Geoscience is a subject based on observation and survey data, and the constantly improve to observation system is development Geoscience, the only way for mitigating disaster.Earth surface deform and the earth's crust inside tectonic movement and its generation variously Matter disaster all acts on closely related with crustal stress, and the change of Crustal stress state is to cause fracture, fold or even generation earthquake Most direct reason.Borehole strain observation is found by the fine observation changed according to Time Continuous to stratum internal strain state Spatial and temporal distributions and development and change rule with being adjusted after (length) mid-term-short-term-imminent earthquake and shake for grasping earthquake strain omen, be Important earthquake precursor observation means.Borehole strain observation is easy by high precision, strong antijamming capability, the observation of many survey items, instrument Become the Precursor means for being only second to GPS observations the features such as safeguarding.
Principal component analytical method can know the signal of relative weak in primary signal from compared with strong jamming background in theory Not out, earth's crust change small-signal is submerged in compared with strong jamming background in solving the problems, such as Borehole strain observation.
CN104390733A discloses a kind of determination method of crustal stress size and Orientation, in the epoxy resin of measurement stress Peripherally disposed three strain rosettes on hollow inclusion, the angle of adjacent strain rosette is 120 °, there is four on each strain rosette Foil gauge, the foil gauge on each strain rosette rotates 45 ° of settings successively;Using 12 different directions strain values on circumferencial direction, Crustal stress and stress direction can accurately and effectively be calculated.
CN202452947U discloses a kind of Four component seismic technology observation system, including the data storage set on well The component strain instrument of master four and the signal cable of connection underground that web-transporting device, underground are set, are also set including underground The component strain instrument of auxiliary four.By setting a master, an auxiliary two four component strain instrument in observation system, system is increased Reliability, it is to avoid because a device damages the situation for allowing for whole system paralysis.
Qiu Zehua etc. (analyzed with the small echo-rate that transfinites and extract Ningshan platform Wenchuan earthquake body strain exception, 2012) utilizes small echo To aunt, our the component borehole strain data of the station four are studied with the improved rate analysis method that transfinites for decomposition, and trickle earthquake is different Often change fine extracting.Chi Shunliang etc. (before the shake of Mount Lushan Ms7.0 earthquakes in 2013 and imminent earthquake strain abnormality, 2013) profits With our component Borehole strain observation data of the station four of Mount Lushan BEFORE AND AFTER EARTHQUAKE aunt, earthquake is analyzed with shake signal.But to current Untill, there is not yet borehole strain data are carried out with the report of anomaly extracting with the method for principal component analysis.
The content of the invention
The purpose of the present invention is that for above-mentioned the deficiencies in the prior art, there is provided a kind of drilling based on principal component analysis Strain data abnormal extraction method.
The purpose of the present invention is achieved through the following technical solutions:
The present invention carries out anomaly extracting to borehole strain data using principal component analysis, is first by the drilling of the same station Strain data sequence carries out strain conversion, and the data after conversion are pre-processed;By pretreated borehole strain data structure Cause a matrix;And the matrix to every day carries out principal component analysis, to obtain the characteristic value and characteristic vector of each matrix; The characteristic value that will be obtained is corresponding with seismic events with the characteristic vector angle calculated, to obtain abnormal testing result. Borehole strain data can be analyzed using the method for principal component analysis effectively by the present invention, it is each according to borehole strain The correlation of item is surveyed, possible Earthquake Precursor Anomalies are extracted.
A kind of borehole strain data exception extraction method based on principal component analysis, comprises the following steps:
A, typing borehole strain data, and the checking of data validity is carried out, "Yes" carries out next step;
B, strain conversion is carried out to borehole strain data;
C, data prediction;
D, making sample data;
E, the covariance matrix for seeking sample data;
F, the characteristic value and characteristic vector of obtaining covariance matrix;
G, the angle for obtaining feature value vector;
H, output characteristic value change curve;
I, output characteristic vector angle change curve and statistic histogram.
Step a, described typing borehole strain data are to choose a four component borehole strain numbers of the station from different places According to, be fabricated to according to minute value sample time series.The checking of data validity is that, according to different components, data are represented by S1,S2,S3,S4;It is right according to the circular hole radial deformation as derived from perforated flat plate elastic theory model and the relational expression of regional stress Borehole strain data are carried out from being in harmony analysis, and its relational expression is:
S1+S3=k (S2+S4), (1)
It is selected from being in harmony data of the coefficient k more than 0.9 for valid data.
Step b, the described strain conversion that carried out to borehole strain data is to be seen four component borehole strains according to formula (2) Survey data reduction into two shearing strain S13、S24With a face strain Sa,
Step c, described data prediction is to carry out harmonic analysis to data, for removing the periodic term of data;It is adjusted And analytic functionExpression formula is:
Wherein, A0It is the DC component of time series, m is the number of times of harmonic wave, coefficient Am,BmIt is weight factor, represents each time Contribution of the harmonic wave to total sequence;The cycle data that initial data subtracts after fitting is exactly data after the pretreatment that we want.
Step d, described making sample data is that the daily data of the station after pretreatment are expressed as into Z in temporal sequence1 =[Z1(1),Z1(2),...,Z1(1440)],…,Zn=[Zn(1),Zn(2),...,Zn(1440) sample matrix can], be obtained Y=[Z1,Z2,Z3,...,Zn]T.The expression formula of sample matrix Y is:
Step e, sample data Y (n × 1440) its covariance matrix CYThe element γ of (n × n)pqCalculated by formula (5) Arrive,
Wherein,WithRespectively the i-th row pth and q minute datas;WithIt is respectively the pth and q of N row data The average of minute data.
Step f, the characteristic value for obtaining covariance matrix is the covariance matrix C to matrix YYCarry out Eigenvalues Decomposition,
CY=R ∧ RT, (6)
In formula, ∧ (n × n) is the characteristic value diagonal matrix of size descending arrangement;R (n × 1) is and characteristic value diagonal matrix Corresponding eigenvectors matrix.The list of feature values is shown as λ12,...,λn1> λ2> ... > λn)。
Step g, the characteristic vector angle of obtaining is that to set characteristic vector be R=[V1 V2 ... Vn]T, as shown in Figure 2, Characteristic vector angle is:
Compared with prior art, the beneficial effects of the present invention are:Borehole strain number of the present invention based on principal component analysis According to abnormal extraction method, the faint change of the earth's crust is characterized respectively using the characteristic value in principal component analysis and characteristic vector angle Out;Realize the accurate extraction to borehole strain data exception in the case where there are stronger ambient interferences.
Brief description of the drawings
Fig. 1 is the borehole strain data exception extraction method flow chart based on principal component analysis;
Fig. 2 is characterized vectorial angle schematic diagram;
Fig. 3 is our monitoring of earthquake precursors station of aunt and Lushan earthquake epicenter position view;
Fig. 4 is first principal component characteristic value change curve;
Fig. 5 is first principal component characteristic vector angle change schematic diagram;
Fig. 6 a are the characteristic vector angle stereogram of All Time section;
Fig. 6 b be without shake during characteristic vector angle stereogram;
Fig. 6 c are the characteristic vector angle stereogram for shaking preceding 5 months Earthquake Precursor Anomalies data;
Fig. 6 d are the characteristic vector angle stereogram of BEFORE AND AFTER EARTHQUAKE abnormal data.
Specific embodiment
With reference to embodiment, the present invention is described in detail.
For Lushan earthquake, by taking the borehole strain minute Value Data of our the monitoring of earthquake precursors station of Sichuan province aunt as an example. Our station of aunt is as shown in Figure 3 with Lushan earthquake location.The data use YRY tetra- on December 31,1 day to 2013 January in 2012 Component drilling strain gauge is measured.
A, typing aunt our station on December 31,1 day to 2013 January in 2012 borehole strain minute value time series, according to Data are designated as S by northern south component, thing component, east northeast component, the order of northwest (NW) component respectively1、S2、S3、S4;According to by with holes Borehole strain data are carried out from being in harmony point by the relational expression of circular hole radial deformation derived from flat board elastic theory model and regional stress Analyse, its relational expression is:
S1+S3=k (S2+S4), (1)
The k values for calculating, our station borehole strain of on December 31, of 1 day to 2013 January in 2012 of aunt is understood by k >=0.9 Minute Value Data is effective.
B, borehole strain data are carried out with strain conversion is by four component Borehole strain observation data reductions according to formula (2) Into two shearing strain S13、S24With a face strain Sa
C, data prediction, i.e., carry out harmonic analysis to the data after conversion, removes the periodic response of strain data;Reconcile Analytic functionExpression formula is:
Wherein A0It is the DC component of time series, m is the number of times of harmonic wave, coefficient Am,BmIt is weight factor, represents each time Contribution of the harmonic wave to total sequence.The cycle data that initial data subtracts after fitting is exactly data after the pretreatment that we want.
D, the daily data of pretreated borehole strain are expressed as
Zn=[Zn(1),Zn(2),...,Zn(1440)], n=1,2,3,
Sample matrix Y=[Z can be obtained1,Z2,Z3]T.The expression formula of sample matrix Y is:
E, the covariance matrix for seeking sample data Y, sample data Y (3 × 1440) its covariance matrix CYThe unit of (3 × 3) Plain γpqIt is calculated by formula (5),
Wherein,WithThe pth and q minute datas of respectively the i-th row data;WithIt is respectively Nth row data Pth and q minute datas average.
F, the covariance matrix C to matrix YYCarry out Eigenvalues Decomposition,
CY=R ∧ RT, (6)
In formula, the characteristic value diagonal matrix that ∧ (3 × 3) is arranged for size descending;R is corresponding with characteristic value diagonal matrix Eigenvectors matrix, the list of feature values is shown as λ1231> λ2> λ3)。
G, obtain characteristic vector angle;R is set by taking first principal component characteristic vector as an example1=[V1,V2,V3], according to Fig. 2 institutes Show, obtained by formula (7)
Second, third principal component characteristic vector can similarly be asked.
H, characteristic value change curve is obtained, as shown in figure 4, in figure, solid line is first principal component characteristic value, --- dotted line is At the Lushan earthquake moment, in rectangle frame is the earthquake relevant abnormalities extracted, it can be seen that characteristic value characterizes earthquake well Relevant abnormalities.
I, characteristic vector angle change figure and statistic histogram, such as Fig. 5 are obtained, shown in Fig. 6 a- Fig. 6 d.Open circles in Fig. 5 Point is characterized vectorial angle, --- dotted line is the Lushan earthquake moment, and in rectangle frame is the earthquake relevant abnormalities extracted.Fig. 6 a- Fig. 6 d are first principal component characteristic vector angle change stereogram, from Fig. 6 d can be seen that feature in unusual part to Measuring angle has obvious clustering phenomena, and Earthquake Precursor Anomalies have been extracted well.

Claims (1)

1. a kind of borehole strain data exception extraction method based on principal component analysis, it is characterised in that comprise the following steps:
A, typing borehole strain data, and the checking of data validity is carried out, "Yes" carries out next step;
B, strain conversion is carried out to borehole strain data;
C, data prediction;
D, making sample data;
E, the covariance matrix for seeking sample data;
F, the characteristic value and characteristic vector of obtaining covariance matrix;
G, the angle for obtaining feature value vector;
H, output characteristic value variation diagram;
I, output characteristic vector angle variation diagram and statistic histogram.
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CN109031403A (en) * 2018-08-20 2018-12-18 吉林大学 A kind of borehole strain data exception extraction method based on S-K feature
CN109101954A (en) * 2018-09-11 2018-12-28 吉林大学 Borehole strain data tidal strain component minimizing technology based on minimal noise separation
CN109406076A (en) * 2018-11-19 2019-03-01 暨南大学 A method of beam bridge structure damage reason location is carried out using the mobile principal component of displacement sensor array output
CN109740453A (en) * 2018-12-19 2019-05-10 吉林大学 A kind of satellite magnetic field data Earthquake Precursor Anomalies extracting method based on wavelet transformation
CN109738939A (en) * 2019-03-21 2019-05-10 蔡寅 A kind of Precursory Observational Data method for detecting abnormality
CN110068857A (en) * 2019-04-02 2019-07-30 吉林大学 Swarm double star magnetic field data Earthquake Precursor Anomalies extracting method based on principal component analysis
CN110618458A (en) * 2019-08-20 2019-12-27 吉林大学 ICA-RA-based multi-band cascade correction method for drilling strain data
CN115758089A (en) * 2022-11-08 2023-03-07 海南师范大学 Borehole strain data prediction method
CN116202570A (en) * 2023-02-17 2023-06-02 中国地震局地震预测研究所 Multi-frequency surface wave calibration method and device
CN116204760A (en) * 2023-01-16 2023-06-02 海南师范大学 Drilling strain data anomaly extraction method based on GRU network

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CN109031403B (en) * 2018-08-20 2019-07-26 吉林大学 A kind of borehole strain data exception extraction method based on S-K feature
CN109031403A (en) * 2018-08-20 2018-12-18 吉林大学 A kind of borehole strain data exception extraction method based on S-K feature
CN109101954A (en) * 2018-09-11 2018-12-28 吉林大学 Borehole strain data tidal strain component minimizing technology based on minimal noise separation
CN109101954B (en) * 2018-09-11 2020-11-27 吉林大学 Method for removing tidal strain components of borehole strain data based on minimum noise separation
CN109406076A (en) * 2018-11-19 2019-03-01 暨南大学 A method of beam bridge structure damage reason location is carried out using the mobile principal component of displacement sensor array output
CN109740453B (en) * 2018-12-19 2022-03-29 吉林大学 Satellite magnetic field data earthquake precursor anomaly extraction method based on wavelet transformation
CN109740453A (en) * 2018-12-19 2019-05-10 吉林大学 A kind of satellite magnetic field data Earthquake Precursor Anomalies extracting method based on wavelet transformation
CN109738939A (en) * 2019-03-21 2019-05-10 蔡寅 A kind of Precursory Observational Data method for detecting abnormality
CN110068857A (en) * 2019-04-02 2019-07-30 吉林大学 Swarm double star magnetic field data Earthquake Precursor Anomalies extracting method based on principal component analysis
CN110618458A (en) * 2019-08-20 2019-12-27 吉林大学 ICA-RA-based multi-band cascade correction method for drilling strain data
CN115758089A (en) * 2022-11-08 2023-03-07 海南师范大学 Borehole strain data prediction method
CN116204760A (en) * 2023-01-16 2023-06-02 海南师范大学 Drilling strain data anomaly extraction method based on GRU network
CN116204760B (en) * 2023-01-16 2023-10-24 海南师范大学 Drilling strain data anomaly extraction method based on GRU network
CN116202570A (en) * 2023-02-17 2023-06-02 中国地震局地震预测研究所 Multi-frequency surface wave calibration method and device
CN116202570B (en) * 2023-02-17 2023-09-05 中国地震局地震预测研究所 Multi-frequency surface wave calibration method and device

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