CN106526590A - Method for monitoring and resolving three-dimensional ground surface deformation of industrial and mining area by means of multi-source SAR image - Google Patents
Method for monitoring and resolving three-dimensional ground surface deformation of industrial and mining area by means of multi-source SAR image Download PDFInfo
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Abstract
The invention discloses a method for monitoring and resolving three-dimensional ground surface deformation of an industrial and mining area by means of a multi-source SAR image. The method is based on SAR image data of different rails before and after deformation. Deformation information in different radar satellite visual line directions are obtained through combining D-InSAR technology and Offset-tracking technology. Deformation information in different radar satellite azimuth directions is acquired through combining MAI technology and Offset-tracking technology. Based on this fact, different deformation information monitoring precisions in the viewing line direction and the azimuth direction are considered. Weights are determined in a Helmert variance component estimation manner. A three-dimensional land surface deformation conversion model is established and resolved, thereby obtaining a three-dimensional deformation field of the industrial and mining area. The method can settle a problem of easy restriction by factors such as decorrelation and small monitorable deformation gradient. Furthermore, the true ground surface deformation condition is more comprehensively monitored through the multi-source SAR image.
Description
Technical field
The present invention relates to a kind of fusion multi-source SAR images industrial and mining area three-dimensional earth's surface deformation monitoring and calculation method.
Background technology
Industrial and mining area Ground Deformation serious harm landing ground Architectural Equipment and natural environment, affect the mankind living environment,
The security of the lives and property and local economic development.Carry out comprehensive monitoring to mining area surface deformation, further investigation deformation formation mechenism with
Changing Pattern, to reasonable recovery of subterranean mineral resources, control industrial and mining area sustainable development is significant.
What traditional geodetic level(l)ing, GPS monitoring mining area surface deformation were obtained is all the deformation data of a point, with survey
The development of means and further expanding for Ground Subsidence Monitoring range of application are painted, its shortcoming is also increasingly projected.
Spaceborne InSAR (Interferometric Synthetic Aperture Radar,
InSAR) technology is earth observation from space new technique developed in recent years, its principle be based on deformation before and after two scape SAR
The differential interferometry phase place of image obtains Ground Deformation information, such as D-InSAR, MAI technology.In the application of mining area surface deformation monitoring
In obtain some successful cases both at home and abroad, monitoring accuracy has reached grade.But receive SAR image wavelength, angle of incidence, ground distributor
The isoparametric impact of resolution, InSAR technologies only have monitoring capability to the deformation in the range of certain deformation gradient.Due to industrial and mining area
There is different degrees of Ground Deformation with the carrying out of exploitation in earth's surface, is likely to be breached meter level, seriously beyond with difference in the short time
The monitoring capability of the conventional InSAR technologies based on point interferometric phase information, causes SAR to affect dephasing to do.Secondly, InSAR skills
Art can only obtain one-dimensional or two-dimentional earth's surface deformation data, rather than reflect the three-dimensional deformation of Ground Deformation feature directly, comprehensively
.
Side-play amount tracking technique (Offset-Tracking) is by two width SAR images based on amplitude information
Carry out precision registration, obtain between registration point side-play amount to calculate deformation, it is not necessary to carry out phase unwrapping, the phase to SAR image
Dryness is insensitive, can make up that above-mentioned routine is dry by dephasing based on interferometric phase information technology and can to monitor deformation gradient little etc.
The deficiency that factor is limited.In addition, the in-orbit SAR satellites of increasing different platform can provide multi-direction for areal
Deformation monitoring result so that easily realized based on the monitoring of multi-source SAR image three-dimensionals Ground Deformation.At the same time different tracks
SAR images are monitored to areal, can obtain more fully Ground Deformation information.
The content of the invention
It is an object of the invention to propose a kind of fusion multi-source SAR images industrial and mining area three-dimensional earth's surface deformation monitoring and resolving side
Method, to overcome conventional InSAR technology to be done and single direction Ground Deformation information can only be provided and limited by big gradient deformation, dephasing
System, beneficial to the deformation characteristics for really reflecting industrial and mining area Deformation Field comprehensively.
To achieve these goals, the present invention is adopted the following technical scheme that:
A kind of fusion multi-source SAR images industrial and mining area three-dimensional earth's surface deformation monitoring and calculation method, comprise the steps:
A obtain multi-source SAR images interfere to coherence map;
B is smoothed to coherence map;
C combines above-mentioned coherence map and merges D-InSAR technologies and Offset-tracking technical limit spacing radar line of sights to shape
Change information;
D combines above-mentioned coherence map and merges MAI technologies and Offset-tracking technical limit spacings radar bearing and believes to deformation
Breath;
The radar line of sight that e is obtained using step c and step d is adopted to deformation data and radar bearing to deformation data
Helmert variance components estimates are set up three-dimensional earth's surface deformation model and are resolved.
Preferably, step a is specially:
The covering of collection research area's multi-source SAR images are carried out being imaged, after multiple look processing, is carried out based on Precise Orbit data
Thick configuration is processed, and calculates initial offset;Again using the method for registering based on correlation coefficient, side-play amount multinomial is fitted,
Processed by resampling after multinomial coefficient is calculated under criterion of least squares and complete precision registration;After each self registration
SAR images carry out conjugate multiplication respectively, and the coherence map of SAR images is calculated while obtaining respective differential interferometry phase diagram.
Preferably, step c is specially:
C.1 according to InSAR technologies, maximum can monitor deformation gradient theory in actual applications, determine that D-InSAR can be monitored
Coherence's threshold value;
C.2 the coherence map in the coherence's threshold value and step b that are c.1 obtained using step, is more than to studying coherent value in area
Step c.1 middle threshold value region using D-InSAR technologies carry out Ground Deformation monitoring obtain radar line of sight to deformation data;
C.3 in research area coherent value less than c.1 middle threshold value region using Offset-tracking technologies at
Reason, obtains distance and radar line of sight is further converted into after deformation data to deformation data;
C.4 by step c.2 with step c.3 in the radar line of sight that obtains respectively melted to deformation data according to pixel position
Close, so as to obtain whole research area's radar line of sight to Ground Deformation information;
C.5 repeat the above steps c.1- c.4, so as to be respectively processed to different track SAR image datas, realize by step
Monitoring of the different radar line of sights to deformation data.
Preferably, the step c.1 middle D-InSAR can monitor coherence's threshold value determination process it is as follows:
The computing formula that largest deformation gradient former can be monitored in theory is as follows:
Wherein, dmaxLargest deformation gradient, λ are wavelength, and u is Pixel size;
The relation of largest deformation gradient and coherence can actually be monitored:Dmax=dmax+0.002(γ-1);
Wherein, DmaxCan actually to monitor largest deformation gradient, γ is coherent value;
Found out, with the reduction of coherent value, there is a less coherent value and cause D by formulamaxIt is changed into 0, i.e., prison is not measured
Deformation data;Each sensor is calculated based on this can actually monitor the critical coherent value of largest deformation gradient as threshold value.
Preferably, step d is specially:
D.1 according to MAI technologies and Offset-tracking technical monitorings precision and the relation of coherence, two kinds of skills are chosen
When art monitoring accuracy height changes, critical coherent value is used as coherence's threshold value;
D.2 the coherence map in the coherence's threshold value and step b d.1 determined according to step is big to studying coherent value in area
Earth's surface orientation deformation monitoring is carried out using MAI technologies in the region of d.1 middle threshold value radar bearing is obtained to deformation data;
D.3 in research area coherent value less than d.1 middle threshold value region using Offset-tracking technologies at
Reason, in acquisition research area, remaining area radar bearing is to deformation data;
D.4 the radar bearing that d.3 d.2 step obtained respectively with step is merged to deformation data, it is whole so as to obtain
Individual research area radar bearing is to Ground Deformation information;
D.5 repeat the above steps d.1- d.4, so as to process to different track SAR image datas, realize different by step
Monitoring of the radar bearing to deformation data.
Preferably, the step d.1 middle coherence's threshold value size be 0.8.
Preferably, step e is specially:
Multi-source SAR images radar line of sight is obtained to deformation data and radar bearing to after deformation data, by different resolution
Monitoring result is resampled to equal resolution;Process is iterated by pixel using the method for Helmert variance components estimates, is counted
The weight of each pixel is calculated, three-dimensional Ground Deformation is set up and is resolved model and resolved.
Preferably, the process three-dimensional Ground Deformation resolving model set up in step e and is resolved is as follows:
Three-dimensional Ground Deformation resolves model and is expressed as:R=Bd;
Wherein, d=(du,de,dn)TRepresent three-dimensional earth's surface deformation data, duRepresent vertical direction deformation data, deRepresent east
West is to deformation data, dnRepresent North and South direction deformation data;Represent difference in radar fix system
Direction deformation data,1 sight line of track is represented to deformation data,2 sight line of track is represented to deformation data,Represent track
1 orientation deformation data,Represent 2 orientation deformation data of track;B is three-dimensional deformation model coefficient matrix;
It is expressed as according to SAR satellite earth observation principle schematics:
Wherein, α1Represent 1 radar bearing angle of track, α2Represent 2 radar bearing angle of track, θ1Represent that 1 radar of track is incident
Angle, θ2Represent 2 radar angle of incidence of track;
According to the principle of least square, earth's surface three-dimensional deformation information is calculated:D=(BTPB)-1 BTPR;
Wherein, P be two different track sight lines to the power battle array corresponding to orientation deformation quantity;According to Helmert variances
Component estimation formulas, the relational expression between component of variance and observation residual error is expressed as:S θ=Wθ;
In formula,Represent error in the weight unit of two class observed quantities;And WθIt is respectively with S:
In formula,Ni=Bi TPiBi, i=1,2;P1And P2The power battle array of two class observed quantities is represented respectively;tr
Representing matrix asks mark computing;V1And V2The correction of two class observed quantities is represented respectively;
Given initial power battle array P, estimates to θ according to Helmert Variance Components Estimations after first time adjustment, then
Weight is recalculated according to the following formula:
Wherein,WithRepresent that the valuation of battle array is weighed in two class observed quantities respectively;OrderMeter is iterated again
Calculate, untilAgain weigh surely, and then calculate three-dimensional deformation information.
The invention has the advantages that:
The inventive method is monitored to industrial and mining area Ground Deformation based on multi-source SAR image data, can be more comprehensively true
Ground obtains the space-time characterisation of industrial and mining area Ground Deformation.For industrial and mining area Ground Deformation feature, can by merging various InSAR technologies
So that effectively solving dephasing is dry, the factor such as deformation gradient is big restriction, InSAR technologies have been widened in industrial and mining area large scale Ground Deformation
The application prospect of monitoring, the cost and technical limitations that reduce change monitoring.On this basis, mould is resolved by setting up three-dimensional deformation
Type, more comprehensively can effectively obtain industrial and mining area three-dimensional earth's surface deformation data, more directly understand and grasp research area's earth's surface shape
Change situation, effectively pre- Geological disaster prevention measure.Also the research to carry out Ground Deformation mechanism and Deformation Law simultaneously is provided more
Direct basic data, this is significant to mining area suitable development.
Description of the drawings
Fig. 1 is the stream of a kind of fusion multi-source SAR images industrial and mining area three-dimensional earth's surface deformation monitoring and calculation method in the present invention
Cheng Tu;
Fig. 2 is to deformation monitoring in the present invention using the rail lift ALOS PALSAR data sight lines after D-InSAR technical finesses
Result schematic diagram;
Fig. 3 is to merge D-InSAR technologies and the rail lift ALOS after Offseet-tracking technical finesses in the present invention
PALSAR data sight line is to deformation monitoring result schematic diagram;
Fig. 4 is to be supervised to deformation using the drop rail ENVISAT ASAR data sight lines after D-InSAR technical finesses in the present invention
Survey result schematic diagram;
Fig. 5 is to merge D-InSAR technologies and the drop rail ENVISAT after Offseet-tracking technical finesses in the present invention
ASAR data sight line is to deformation monitoring result schematic diagram;
Fig. 6 is using the rail lift ALOS PALSAR data orientation deformation monitoring results after MAI technical finesses in the present invention
Schematic diagram;
Fig. 7 is to merge MAI technologies and the rail lift ALOS PALSAR after Offseet-tracking technical finesses in the present invention
Data orientation deformation monitoring result schematic diagram;
Fig. 8 is using the drop rail ENVISAT ASAR data orientations deformation monitoring knot after MAI technical finesses in the present invention
Fruit schematic diagram;
Fig. 9 is to merge MAI technologies and the drop rail ENVISAT of the result after Offseet-tracking technical finesses in the present invention
ASAR data orientation deformation monitoring result schematic diagrams;
Figure 10 is the vertical direction result schematic diagram of three-dimensional earth's surface deformation monitoring in the present invention;
Figure 11 is the east-west direction result schematic diagram of three-dimensional earth's surface deformation monitoring in the present invention;
Figure 12 is the North and South direction result schematic diagram of three-dimensional earth's surface deformation monitoring in the present invention;
Figure 13 is SAR satellite earth observation principle schematics in the present invention.
Specific embodiment
The present invention ultimate principle be:
By being processed to covering multi-source SAR images in same research area using various InSAR technologies, will be various
InSAR technologies carry out fusion and obtain the multi-direction Ground Deformation information in the region, further merge multi-source monitoring result and resolve three-dimensional
Ground Deformation.
Below in conjunction with the accompanying drawings and specific embodiment is described in further detail to the present invention:
It is with reference to shown in Fig. 1, a kind of to merge multi-source SAR images industrial and mining area three-dimensional earth's surface deformation monitoring and calculation method, including
Following several steps:
A obtain multi-source SAR images interfere to coherence map.Specifically acquisition methods are:
The covering of collection research area's multi-source SAR images are carried out being imaged, after multiple look processing, is carried out based on Precise Orbit data
Thick configuration is processed, and calculates initial offset;Again using the method for registering based on correlation coefficient, side-play amount multinomial is fitted,
Processed by resampling after multinomial coefficient is calculated under criterion of least squares and complete precision registration;After each self registration
SAR images carry out conjugate multiplication respectively, and the coherence map of SAR images is calculated while obtaining respective differential interferometry phase diagram.
Wherein, coherence map refers to the foundation for evaluating two width SAR image similarity degrees, generates in differential interferometry process.
B is smoothed to coherence map.
Coherence map is the basis that follow-up data is processed, but as the impact of the factors such as various noises is led in actual process
In causing the coherence map for obtaining, each pixel coherent value spatial continuity is poor, i.e., between adjacent picture elements, coherent value is changed greatly, it is impossible to
The difference accessible successive range of InSAR technologies in subsequent processes is determined based on this.Therefore, subsequently located
First the coherence map of coherent value spatial spreading is smoothed before reason.
In order to the verity for ensureing coherence map as far as possible can be using the method for Kriging regression in processing procedure.
C merges D-InSAR technologies and Offset-tracking technical limit spacing radar line of sights to deformation data.
To obtain industrial and mining area high accuracy earth's surface deformation monitoring result, easily occur what dephasing was done for industrial and mining area Ground Deformation
Phenomenon, realizes full basin Ground Deformation monitoring by merging D-InSAR technologies and Offset-tracking technical approach.
Step c is specially:
C.1 largest deformation gradient theory can be monitored in actual applications according to InSAR technologies, determines that D-InSAR can be monitored
Coherence's threshold value.
Industrial and mining area Ground Deformation has the features such as coverage is little, deformation magnitude is big, big gradient deformation easily occurs, poor
Divide in interferogram and show as contrast of fringes comparatively dense, cause solution to twine mistake and then reliable deformation data cannot be obtained;And deformation
Gradient is excessive to be easily caused deformation area and dephasing occurs and do, and reduces the precision of monitoring result.
InSAR technologies maximum can monitor deformation gradient theory to be proposed by Massonnett and Feigl earliest, and gives
Theoretical model is gone out.On this basis, Baran et al. considers that the factor such as coherence affects, and in finding practical application, InSAR is most
Deformation gradient value can be monitored greatly less than theoretical value, maximum can monitor deformation gradient in actual applications to give InSAR technologies
Model.
Step of the present invention c.1 middle D-InSAR can monitor coherence's threshold value determination process it is as follows:
Massonnett and Feigl advanced a theory in 1998 on can monitor largest deformation gradient former computing formula such as
Under:
Wherein, dmaxLargest deformation gradient, λ are wavelength, and u is Pixel size.
But by as factor is affected by dephasing is dry etc., largest deformation gradient theory can be monitored in actual application
Model is less than theoretic.Affect in view of factors such as coherences, maximum can be monitored deformation gradient and be wanted than theoretical value in practice
Little, Baran et al. gave the relation that can actually monitor largest deformation gradient and coherence in 2005:
Dmax=dmax+0.002(γ-1);Wherein, DmaxCan actually to monitor largest deformation gradient, γ is coherent value.
Found out, with the reduction of coherent value, there is a less coherent value and cause D by formulamaxIt is changed into 0, i.e., prison is not measured
Deformation data;Each sensor is calculated based on this can actually monitor the critical coherent value of largest deformation gradient as threshold value.
Wherein, coherent value can carry out Ground Deformation monitoring using D-InSAR technologies more than the region of threshold value, and coherent value is little
Ground Deformation monitoring can be carried out using Offset-tracking technologies in the region of threshold value.
C.2 the coherence map in the coherence's threshold value and step b that are c.1 obtained using step, is more than to studying coherent value in area
Step c.1 middle threshold value region using D-InSAR technologies carry out Ground Deformation monitoring obtain radar line of sight to deformation data.
C.3 in research area coherent value less than c.1 middle threshold value region using Offset-tracking technologies at
Reason, obtains distance and radar line of sight is further converted into after deformation data to deformation data.
Offset_tracking technologies are to calculate registering side-play amount based on two scape image amplitude informations, will further be matched somebody with somebody
Quasi- side-play amount is converted to deformation data, calculates orientation deformation on this basis.
The technology maximum feature is insensitive to coherence, it is not necessary to which phase unwrapping just can obtain deformation data, Ke Yiyou
Effect overcomes the application of D-InSAR technologies to limit to, and the area that dephasing closes weight tight can be caused to large deformation gradient to provide deformation details.
Fig. 2 and Fig. 4 represent respectively two groups of different SAR images of ALOS and ASAR using D-InSAR technical limit spacings sight line to
Deformation monitoring result, in figure, white space as loses coherent area movement.For the region is not using requiring to coherence
Offset-tracking technologies are processed, and Fig. 3 and Fig. 5 is to merge final monitoring result after two kinds of technologies, by comparison diagram
2 and Fig. 3 and Fig. 4 and Fig. 5 can be found that effect is obvious, realize the monitoring of Low coherence area Ground Deformation.In addition,
It can be found that different track SAR images are observed to earth's surface with different view by Fig. 2 to Fig. 5, obtains and be included in deformation
The different monitoring results of aspect such as scope, deformation distribution, can obtain more fully Ground Deformation information.
C.4 by step c.2 with step c.3 in the radar line of sight that obtains respectively melted to deformation data according to pixel position
Close, so as to obtain whole research area's radar line of sight to Ground Deformation information;
C.5 in order to obtain research area three-dimensional earth's surface deformation data, at least three different directions deformation datas are needed.In repetition
C.1- c.4 step, so as to be respectively processed to different track SAR image datas, realizes different radar line of sights to shape to state step
The monitoring of change information, can obtain more comprehensively real surface deformation data.
D merges MAI technologies and Offset-tracking technical limit spacing radar bearings to deformation data.
MAI technologies are that, based on interferometric phase information earth observation technology, different from InSAR technologies, the technology is used divides
The InSAR Processing Algorithm for splitting wave beam obtains the orientation deformation quantity of degree of precision:
Two pairs of principal and subordinate's images are regarded first with two width haplopias plural number image (SLC) division generation is forward and backward, by forward and backward regarding master
Interference treatment is carried out respectively from image obtains forward sight and backsight interferogram, it is then forward and backward regarding interferogram conjugate multiplication by this two
Multiple aperture differential interferometry figure of the width comprising orientation deformation data is produced, after filtering, after the process of step such as phase unwrapping
Obtain the deformation quantity of orientation.Similar with the mechanism that conventional InSAR monitors deformation, the coherence of SAR images is to govern the skill
The principal element of art application, the quality of coherence directly affect the precision that MAI measures orientation deformation.Relative to based on amplitude
The Offset-tracking technologies of information, its monitoring accuracy of high coherent area movement are high, and its monitoring accuracy of Low coherence area compared with
It is low.
Image coherence affects larger to the precision of MAI technologies, and the general mulch farming thing of industrial and mining area earth's surface, coherence compared with
Difference, in addition, in the short time, to have deepened image dephasing dry for big magnitude Ground Deformation.In order to obtain the employing of orientation deformation data
Fusion MAI technologies and the Offset-tracking technology insensitive to coherence carry out Ground Deformation monitoring.
It is 1/50 pixel that Offset-tracking technologies calculate the precision of side-play amount, for SAR data, equivalent to
Precision in orientation can reach 7.5cm and sight line to for 14cm.
MAI phase standards difference can be expressed as
With the raising of coherence, the phase standard difference for calculating is less and less.Show in pertinent literature when coherent value is big
When 0.8, the standard deviation of MAI is better than Offset-tracking technologies.Therefore, the inventive method is big to studying coherent value in area
Processed using MAI technologies in 0.8 region, Offset- is adopted to studying region of the coherent value less than 0.8 in area
Tracking technologies are processed, and finally, two monitoring results are carried out fusion and realizes full basin Ground Deformation monitoring.
Step d is specially:
D.1 according to MAI technologies and Offset-tracking technical monitorings precision and the relation of coherence, two kinds of skills are chosen
When art monitoring accuracy height changes, used as coherence's threshold value, its size is 0.8 to critical coherent value.
D.2 the coherence map in the coherence's threshold value and step b d.1 determined according to step is big to studying coherent value in area
Earth's surface orientation deformation monitoring is carried out using MAI technologies in the region of d.1 middle threshold value radar bearing is obtained to deformation data.
D.3 in research area coherent value less than d.1 middle threshold value region using Offset-tracking technologies at
Reason, in acquisition research area, remaining area radar bearing is to deformation data.
D.4 the radar bearing that d.3 d.2 step obtained respectively with step is merged to deformation data, it is whole so as to obtain
Individual research area radar bearing is to Ground Deformation information.
Fig. 6 represents orientation deformation of the two groups of different SAR images of ALOS and ASAR using MAI technical limit spacings respectively with Fig. 8
Monitoring result, in figure, white space as loses coherent area movement.Lose coherent area movement and adopt Offset-tracking technical limit spacing deformation
Information, Fig. 7 and Fig. 9 are to merge final monitoring result after two kinds of technologies.Can be with by contrasting Fig. 6 and Fig. 7 and Fig. 8 and Fig. 9
It was found that effect is obvious, by merge two kinds of technical limit spacings including setting basin center Low coherence zone aspect to deformation
Information, realizes the monitoring of Low coherence area Ground Deformation.
D.5 repeat the above steps d.1- d.4, so as to process to different track SAR image datas, realize different by step
Monitoring of the radar bearing to deformation data, can obtain more comprehensively real surface deformation data.
So far, multi-source SAR images are processed by merging various InSAR technologies, obtaining industrial and mining area includes two
Different sight to two different azimuths in four interior different directions deformation datas.
E obtain multi-source SAR images (at least two different tracks) sight line to orientation deformation data after, by different resolutions
Rate monitoring result is resampled to equal resolution.
Monitoring result is divided into by the difference for obtaining monitoring result precision in view of different technologies according to the difference of acquisition modes
Two classes, are iterated process by pixel using the method for Helmert variance components estimates, calculate the weight of each pixel, build
Vertical three-dimensional Ground Deformation resolves model and is resolved.
Figure 10, Figure 11 and Figure 12 respectively study three-dimensional the vertical of earth's surface deformation monitoring, thing and North and South direction result figure.
Wherein, Helmert variance components estimates are estimating using the weighted sum of squares of all kinds of corrections after each adjustment
The variance of unit weight of all kinds of observations, and then realize the weight of all kinds of observations is determined according to precision.
Step e is specially:Three-dimensional Ground Deformation resolves model and is expressed as:R=Bd;
Wherein, d=(du,de,dn)TRepresent three-dimensional earth's surface deformation data, duRepresent vertical direction deformation data, deRepresent east
West is to deformation data, dnRepresent North and South direction deformation data;Represent difference in radar fix system
Direction deformation data,1 sight line of track is represented to deformation data,2 sight line of track is represented to deformation data,Represent track
1 orientation deformation data,Represent 2 orientation deformation data of track;B is three-dimensional deformation model coefficient matrix;
As shown in figure 13, SAR satellite earth observations principle schematic is represented by:
Wherein, α1Represent 1 radar bearing angle of track, α2Represent 2 radar bearing angle of track, θ1Represent that 1 radar of track is incident
Angle, θ2Represent 2 radar angle of incidence of track;
According to the principle of least square, earth's surface three-dimensional deformation information is calculated:D=(BTPB)-1 BTPR;
Wherein, P be two different track sight lines to the power battle array corresponding to orientation deformation quantity;According to Helmert variances
Component estimation formulas, the relational expression between component of variance and observation residual error is expressed as:S θ=Wθ;
In formula,Represent error in the weight unit of two class observed quantities;And WθIt is respectively with S:
In formula,Ni=Bi TPiBi, i=1,2;P1And P2The power battle array of two class observed quantities is represented respectively;tr
Representing matrix asks mark computing;V1And V2The correction of two class observed quantities is represented respectively;
Given initial power battle array P, estimates to θ according to Helmert Variance Components Estimations after first time adjustment, then
Weight is recalculated according to the following formula:
Wherein,WithRepresent that the valuation of battle array is weighed in two class observed quantities respectively;OrderMeter is iterated again
Calculate, untilAgain weigh surely, and then calculate three-dimensional deformation information.
Certainly, only presently preferred embodiments of the present invention described above, the present invention are not limited to enumerate above-described embodiment, should
When explanation, any those of ordinary skill in the art are under the teaching of this specification, all equivalent substitutes for being made, bright
Aobvious variant, all falls within the essential scope of this specification, ought to be protected by the present invention.
Claims (8)
1. it is a kind of to merge multi-source SAR images industrial and mining area three-dimensional earth's surface deformation monitoring and calculation method, it is characterised in that including as follows
Step:
A obtain multi-source SAR images interfere to coherence map;
B is smoothed to coherence map;
C combines above-mentioned coherence map and merges D-InSAR technologies and Offset-tracking technical limit spacings radar line of sight and believes to deformation
Breath;
D combines above-mentioned coherence map and merges MAI technologies and Offset-tracking technical limit spacing radar bearings to deformation data;
The radar line of sight that e is obtained using step c and step d to deformation data and radar bearing to deformation data, using Helmert
Variance components estimate is set up three-dimensional earth's surface deformation model and is resolved.
2. one kind according to claim 1 merges multi-source SAR images industrial and mining area three-dimensional earth's surface deformation monitoring and calculation method,
Characterized in that, step a is specially:
The covering of collection research area's multi-source SAR images are carried out being imaged, after multiple look processing, is slightly matched somebody with somebody based on Precise Orbit data
Process is put, initial offset is calculated;Again using the method for registering based on correlation coefficient, side-play amount multinomial is fitted, most
A young waiter in a wineshop or an inn is taken advantage of to be processed by resampling after calculating multinomial coefficient under criterion and completes precision registration;By the SAR shadows after each self registration
As carrying out conjugate multiplication respectively, the coherence map of SAR images while obtaining respective differential interferometry phase diagram, is calculated.
3. one kind according to claim 1 merges multi-source SAR images industrial and mining area three-dimensional earth's surface deformation monitoring and calculation method,
Characterized in that, step c is specially:
C.1 according to InSAR technologies, maximum can monitor deformation gradient theory in actual applications, determine that D-InSAR can be monitored relevant
Property threshold value;
C.2 the coherence map in the coherence's threshold value and step b that are c.1 obtained using step, is more than step to studying coherent value in area
C.1 the region of middle threshold value carries out Ground Deformation monitoring using D-InSAR technologies and obtains radar line of sight to deformation data;
C.3 in research area coherent value processed using Offset-tracking technologies less than the region of c.1 middle threshold value,
Obtain distance and radar line of sight is further converted into after deformation data to deformation data;
C.4 by step c.2 with step c.3 in the radar line of sight that obtains respectively merged to deformation data according to pixel position,
So as to obtain whole research area's radar line of sight to Ground Deformation information;
C.5 repeat the above steps c.1- c.4, so as to be respectively processed to different track SAR image datas, realize different by step
Monitoring of the radar line of sight to deformation data.
4. one kind according to claim 3 merges multi-source SAR images industrial and mining area three-dimensional earth's surface deformation monitoring and calculation method,
Characterized in that, the step c.1 middle D-InSAR can monitor coherence's threshold value determination process it is as follows:
The computing formula that largest deformation gradient former can be monitored in theory is as follows:
Wherein, dmaxLargest deformation gradient, λ are wavelength, and u is Pixel size;
The relation of largest deformation gradient and coherence can actually be monitored:Dmax=dmax+0.002(γ-1);
Wherein, DmaxCan actually to monitor largest deformation gradient, γ is coherent value;
Found out, with the reduction of coherent value, there is a less coherent value and cause D by formulamaxIt is changed into 0, i.e., prison does not measure deformation
Information;Each sensor is calculated based on this can actually monitor the critical coherent value of largest deformation gradient as threshold value.
5. one kind according to claim 1 merges multi-source SAR images industrial and mining area three-dimensional earth's surface deformation monitoring and calculation method,
Characterized in that, step d is specially:
D.1 according to MAI technologies and Offset-tracking technical monitorings precision and the relation of coherence, two kinds of technology prisons are chosen
When surveying precision height change, critical coherent value is used as coherence's threshold value;
D.2 the coherence map in the coherence's threshold value and step b d.1 determined according to step, to studying in area coherent value more than d.1
The region of middle threshold value carries out earth's surface orientation deformation monitoring using MAI technologies and obtains radar bearing to deformation data;
D.3 in research area coherent value processed using Offset-tracking technologies less than the region of d.1 middle threshold value,
In acquisition research area, remaining area radar bearing is to deformation data;
D.4 the radar bearing that d.3 d.2 step obtained respectively with step is merged to deformation data, is entirely ground so as to obtain
Area's radar bearing is studied carefully to Ground Deformation information;
D.5 d.1- d.4 step, so as to process to different track SAR image datas, realizes different radars to repeat the above steps
The monitoring of orientation deformation data.
6. one kind according to claim 5 merges multi-source SAR images industrial and mining area three-dimensional earth's surface deformation monitoring and calculation method,
Characterized in that, the step d.1 middle coherence's threshold value size be 0.8.
7. one kind according to claim 1 merges multi-source SAR images industrial and mining area three-dimensional earth's surface deformation monitoring and calculation method,
Characterized in that, step e is specially:
Acquisition multi-source SAR images radar line of sight, to after deformation data different resolution is monitored to deformation data and radar bearing
As a result it is resampled to equal resolution;Process is iterated by pixel using the method for Helmert variance components estimates, is calculated
The weight of each pixel, sets up three-dimensional Ground Deformation and resolves model and resolved.
8. one kind according to claim 7 merges multi-source SAR images industrial and mining area three-dimensional earth's surface deformation monitoring and calculation method,
Characterized in that, the process three-dimensional Ground Deformation resolving model set up in step e and is resolved is as follows:
Three-dimensional Ground Deformation resolves model and is expressed as:R=Bd;
Wherein, d=(du,de,dn)TRepresent three-dimensional earth's surface deformation data, duRepresent vertical direction deformation data, deRepresent between east and west
To deformation data, dnRepresent North and South direction deformation data;Represent different directions in radar fix system
Deformation data,1 sight line of track is represented to deformation data,2 sight line of track is represented to deformation data,Represent 1 side of track
Position to deformation data,Represent 2 orientation deformation data of track;B is three-dimensional deformation model coefficient matrix;
It is expressed as according to SAR satellite earth observation principle schematics:
Wherein, α1Represent 1 radar bearing angle of track, α2Represent 2 radar bearing angle of track, θ1Represent 1 radar angle of incidence of track, θ2Table
Show 2 radar angle of incidence of track;
According to the principle of least square, earth's surface three-dimensional deformation information is calculated:D=(BTPB)-1BTPR;
Wherein, P be two different track sight lines to the power battle array corresponding to orientation deformation quantity;According to Helmert components of variance
Estimation formulas, the relational expression between component of variance and observation residual error is expressed as:S θ=Wθ;
In formula,Represent error in the weight unit of two class observed quantities;And WθIt is respectively with S:
In formula,Ni=Bi TPiBi, i=1,2;P1And P2The power battle array of two class observed quantities is represented respectively;Tr is represented
Matrix Calculating mark computing;V1And V2The correction of two class observed quantities is represented respectively;
Given initial power battle array P, estimates to θ according to Helmert Variance Components Estimations after first time adjustment, then according to
Following formula recalculates weight:
Wherein,WithRepresent that the valuation of battle array is weighed in two class observed quantities respectively;OrderCalculating is iterated again,
UntilAgain weigh surely, and then calculate three-dimensional deformation information.
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