CN113281742B - SAR landslide early warning method based on landslide deformation information and meteorological data - Google Patents
SAR landslide early warning method based on landslide deformation information and meteorological data Download PDFInfo
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Abstract
Description
技术领域technical field
本发明涉及地质灾害的合成孔径雷达监测技术领域,更具体地说,特别涉及一种基于滑坡形变信息和气象数据的SAR滑坡预警方法。The invention relates to the technical field of synthetic aperture radar monitoring of geological disasters, in particular to a SAR landslide early warning method based on landslide deformation information and meteorological data.
背景技术Background technique
我国是一个多山的国家,山地面积占到国土总面积的69%,山区常见的地质灾害给道路施工和运营造成了极大的威胁。滑坡是指边坡上的岩土体在自然或人为因素的影响下失去稳定,沿贯通的破坏面整体下滑的现象,它作为一种常见的地质灾害,分布广、危害大。据不完全统计,除了滑坡灾害造成的人员伤亡外,在过去的10年间滑坡灾害已经使得数千公里的道路遭受到不同程度的损害,造成了数以亿计的经济损失。随着我国经济的发展,全国的公路建设也将不断增长,而且会不断的向山区延伸,这将意味着,道路灾害也将日益严重。通过一系列滑坡灾害事件的经验与教训可以看出,对滑坡灾害的早期预警,进而进行有效的灾害分析是变“被动避灾救灾”为“主动防灾治灾”,降低灾害所带来损失的主要途径。my country is a mountainous country, and the mountainous area accounts for 69% of the total land area. Common geological disasters in mountainous areas pose a great threat to road construction and operation. Landslide refers to the phenomenon that the rock and soil mass on the slope loses stability under the influence of natural or human factors, and slides down along the entire failure surface. As a common geological disaster, it is widely distributed and harmful. According to incomplete statistics, in addition to the casualties caused by landslide disasters, landslide disasters have caused thousands of kilometers of roads to suffer varying degrees of damage in the past 10 years, causing hundreds of millions of economic losses. With the development of our country's economy, the national highway construction will also continue to increase, and will continue to extend to the mountainous areas, which will mean that road disasters will also become increasingly serious. Through the experience and lessons of a series of landslide disaster events, it can be seen that early warning of landslide disasters and effective disaster analysis are the main ways to change "passive disaster avoidance and relief" to "active disaster prevention and treatment" and reduce the losses caused by disasters.
传统的地表形变监测方法多集中于地面监测技术和地下监测技术,如大地测量方法、GPS法、钻孔点位监测以及地球物理探测技术等。传统滑坡监测方法不仅在时间、空间上不具有连续性,而且在面对人迹罕至,难以到达的复杂艰险山区,地面与地下监测技术面临着通信难、续航难和布设安装难得问题。近年来,随着通信技术和传感器技术得迅速发展,航空航天遥感监测技术应运而生,光学遥感、星载InSAR技术以及航空摄影测量、机载LiDAR技术使得滑坡灾害监测由过去基于点位的监测方式转变为基于面的动态监测手段。然而,滑坡灾害发生具有偶然性并常伴有恶劣的天气条件,甚至发生在晚上,光学遥感以及航空摄影测量、激光LiDAR技术很难获取到同时具备高分辨率和高时效性的影像数据。全天侯、全天时的雷达能够穿透云雾、森林获取影像,继而具备了光学影像无法比拟的优势。Traditional surface deformation monitoring methods mostly focus on surface monitoring technology and underground monitoring technology, such as geodetic method, GPS method, drilling point monitoring and geophysical detection technology. Traditional landslide monitoring methods are not continuous in time and space, and in the face of inaccessible and difficult-to-reach complex and dangerous mountainous areas, ground and underground monitoring technologies are faced with difficult communication, battery life, and difficult deployment and installation problems. In recent years, with the rapid development of communication technology and sensor technology, aerospace remote sensing monitoring technology has emerged as the times require. Optical remote sensing, spaceborne InSAR technology, aerial photogrammetry, and airborne LiDAR technology have transformed landslide disaster monitoring from the previous point-based monitoring method to the surface-based dynamic monitoring method. However, landslide disasters occur occasionally and are often accompanied by severe weather conditions, even at night. Optical remote sensing, aerial photogrammetry, and laser LiDAR technology are difficult to obtain image data with high resolution and high timeliness. The all-weather and all-weather radar can penetrate clouds and forests to obtain images, and then has the incomparable advantages of optical images.
合成孔径雷达干涉技术(InSAR)是近半个世纪发展起来的定量微波遥感技术。利用干涉相位图和搭载雷达传感器的平台姿态数据可以提取地表三维信息,利用干涉相干性分析可以提取地表覆盖的变化信息,从地表形变探测来说,使用二次差分技术可以从干涉相位图中去除地形和其他因素的影响,从而提取形变信息,也就是合成孔径雷达差分干涉技术(D-InSAR),同时在D-InSAR技术上发展起来的小基线集技术和永久散射体技术,具有获取微小形变和长时间序列缓慢地表形变的优势,使得InSAR技术在滑坡灾害预警和监测领域拥有了更为广阔的应用前景。同时,根据近年来国内突发性滑坡灾害的统计发现,持续降雨诱发滑坡占据滑坡总发生量的65%,其中局部降雨诱发滑坡占总发生量的43%,占持续降雨诱发滑坡的66%。也就是说,约三分之二的突发性滑坡灾害是由于大气降雨量或者气象因素密切相关。因此结合InSAR技术与滑坡诱发因素(降雨量)是进行滑坡灾害预警的有效途径。Interferometric Synthetic Aperture Radar (InSAR) is a quantitative microwave remote sensing technology developed in the past half century. The three-dimensional information of the surface can be extracted by using the interferometric phase map and the attitude data of the platform equipped with radar sensors, and the change information of the land surface can be extracted by using the interferometric coherence analysis. From the perspective of surface deformation detection, the second difference technology can be used to remove the influence of terrain and other factors from the interferometric phase map, thereby extracting deformation information, which is the differential interferometry technology of synthetic aperture radar (D-InSAR). This makes InSAR technology have a broader application prospect in the field of landslide disaster warning and monitoring. At the same time, according to the statistics of sudden landslide disasters in China in recent years, continuous rainfall-induced landslides accounted for 65% of the total landslide occurrence, of which local rainfall-induced landslides accounted for 43% of the total occurrence, and continuous rainfall-induced landslides accounted for 66%. In other words, about two-thirds of sudden landslide disasters are closely related to atmospheric rainfall or meteorological factors. Therefore, combining InSAR technology with landslide inducing factors (rainfall) is an effective way to carry out landslide disaster early warning.
发明内容Contents of the invention
本发明的目的在于提供一种基于滑坡形变信息和气象数据的SAR滑坡预警方法,以克服现有技术所存在的缺陷。The purpose of the present invention is to provide a SAR landslide early warning method based on landslide deformation information and meteorological data, so as to overcome the defects in the prior art.
为了达到上述目的,本发明采用的技术方案如下:In order to achieve the above object, the technical scheme adopted in the present invention is as follows:
一种基于滑坡形变信息和气象数据的SAR滑坡预警方法,包括以下步骤:A SAR landslide early warning method based on landslide deformation information and meteorological data, comprising the following steps:
S1、计算历史滑坡发生的次数与滑坡发生前时序降雨量之间的相关系数,确定有效降雨量引发滑坡的降雨量阈值;S1. Calculate the correlation coefficient between the number of historical landslide occurrences and the time-series rainfall before the landslide occurs, and determine the rainfall threshold that the effective rainfall causes the landslide;
S2、根据时序有效降雨量与时序形变数据之间的相关系数对步骤S1中获取的降雨量阈值进行矫正;S2. Correct the rainfall threshold obtained in step S1 according to the correlation coefficient between the time-series effective rainfall and the time-series deformation data;
S3、利用降雨量阈值和区域降雨量信息进行滑坡初预警;S3, using the rainfall threshold and regional rainfall information to perform early warning of landslides;
S4、获取初预警区域的时序形变数据;S4. Obtain the time-series deformation data of the initial warning area;
S5、根据历史滑坡发生次数与时序累计形变数据之间的关系确定引发滑坡的有效形变量,并据此计算滑坡发生的临界形变阈值;S5. According to the relationship between the number of historical landslide occurrences and the time-series cumulative deformation data, determine the effective deformation amount that causes the landslide, and calculate the critical deformation threshold for the landslide accordingly;
S6、利用临界形变阈值对步骤S2中获取的滑坡初预警区域和步骤S3中获取的时序形变数据进行检核,实现初预警区域的二次预警。S6. Use the critical deformation threshold to check the landslide initial warning area obtained in step S2 and the time-series deformation data obtained in step S3, so as to realize the secondary warning of the initial warning area.
进一步地,所述步骤S1中的有效降雨量的计算方式为:Further, the calculation method of the effective rainfall in the step S1 is:
γn=γ0+Tγ1+T2γ2+T3γ3+...+Tnγn;γ n =γ 0 +Tγ 1 +T 2 γ 2 +T 3 γ 3 +...+T n γ n ;
式中γn代表有效降雨量;γ0代表当天降雨量;γ1、γ2、γ3、...、γn代表当天之前的降雨量;n为经过的天数;T为降雨系数,取为0.9、0.8、0.7、0.6、0.5、0.4。In the formula, γ n represents the effective rainfall; γ 0 represents the rainfall of the day; γ 1 , γ 2 , γ 3 , ..., γ n represent the rainfall before the current day; n is the number of days passed;
进一步地,所述步骤S3具体为:将降雨量阈值大于设定值的判断为滑坡易发区域,将降雨量阈值小于或等于设定值的判断为稳定区域。Further, the step S3 specifically includes: judging the area where the rainfall threshold is greater than the set value as a landslide-prone area, and judging the area where the rainfall threshold is less than or equal to the set value as a stable area.
进一步地,所述步骤S4是通过对滑坡易发区域进行时序InSAR处理以获取该区域的时序形变数据。Further, the step S4 is to obtain the time-series deformation data of the landslide-prone area by performing time-series InSAR processing on the area.
进一步地,所述通过对滑坡易发区域进行时序InSAR处理以获取该区域的时序形变数据具体为:Further, the time-series deformation data obtained by performing time-series InSAR processing on landslide-prone areas is specifically:
设定第j幅干涉相位图在方位-距离像素坐标系(x,r)中表示为:It is assumed that the jth interferometric phase map is expressed in the azimuth-distance pixel coordinate system (x, r) as:
式中,λ为雷达波长;d(tB,x,r)和d(tA,x,r)分别为tB和tA时刻相对应于参考时刻t0的视线防线累计的形变量,有d(t0,x,r)≡0;以d(ti,x,r),(i=1,2,3…N)来表示形变时间序列,对应的相位为有:/> In the formula, λ is the wavelength of the radar; d(t B , x, r) and d(t A , x, r) are the accumulated deformation of the line of sight defense corresponding to the reference time t 0 at time t B and t A respectively, and d(t 0 , x, r)≡0; d(t i , x, r), (i=1, 2, 3...N) is used to represent the deformation time series, and the corresponding phase is There are: />
将研究区域每一像元点的形变量所对应的M个相位值用向量表示The M phase values corresponding to the deformation of each pixel point in the study area are represented by vectors
将从差分干涉图上计算的个值表示为向量:will be calculated from the differential interferogram values are represented as vectors:
其中,主影像IE=[IE1,IE2,IE3,...,IEM],副影像IS=[IS1,IS2,IS3,...,ISM]; Wherein, main image IE=[IE 1 , IE 2 , IE 3 ,..., IE M ], secondary image IS=[IS 1 , IS 2 , IS 3 ,..., IS M ];
在以上公式的基础上将干涉图的矢量相位以矩阵的形式表达: On the basis of the above formula, the vector phase of the interferogram is expressed in the form of a matrix:
矩阵中,每一行与每一副差分干涉相位图相对应,每一列则对应于不同时间的SAR影像,该矩阵中主影像与副影像所在的列为±1,其余列为0,In the matrix, each row corresponds to each differential interferogram, and each column corresponds to SAR images at different times. The columns of the main image and secondary images in the matrix are ±1, and the remaining columns are 0.
如即可以将[M×N]阶矩阵G表示为 like That is, the matrix G of order [M×N] can be expressed as
当生成一系列干涉对处于同一小基线子集中时,M≥N且N为G的秩,通过最小二乘法即可得到相位矩阵: When a series of interference pairs are generated in the same small baseline subset, M≥N and N is the rank of G, the phase matrix can be obtained by the least square method:
对于不可能所有影像的干涉对都在同一个基线子集中的现象,依据阈值将已有的SAR组合为具有一定数量的子集,继而GTG就是一降秩后的矩阵,若矩阵为不满秩矩阵的现象采用奇异值分解的方法,将奇异矩阵分解为:G=USVT,式中,VT为平均相位的速率,U为正交矩阵,S为对角矩阵,继而可以将相位转换为平均相位速度:For the phenomenon that it is impossible for the interference pairs of all images to be in the same baseline subset, the existing SARs are combined into a certain number of subsets according to the threshold, and then G T G is a matrix after rank reduction. If the matrix is not satisfied with the rank matrix, the singular value decomposition method is used to decompose the singular matrix into: G=USV T , where V T is the velocity of the average phase, U is the orthogonal matrix, and S is the diagonal matrix, and then the phase can be converted into the average phase velocity:
再求得速度矢量V的最小范数解,进行积分求得相位的估计值,即为精确的形变相位矢量δ。Then obtain the minimum norm solution of the velocity vector V, and integrate to obtain the estimated value of the phase, which is the accurate deformation phase vector δ.
进一步地,所述步骤S5为具体为:通过计算滑坡发生时的时序累计形变量与滑坡发生次数之间的相关系数获取获取形变阈值,根据二者之间的关系图获取或滑坡次数出现跳跃时所对应的形变量,以第一次跳跃对应的形变值为预警级形变阈值,第二次跳跃对应的形变值为警报级形变阈值。Further, the step S5 is specifically: obtaining the deformation threshold by calculating the correlation coefficient between the time-series cumulative deformation amount when the landslide occurs and the number of occurrences of the landslide, and obtaining the corresponding deformation amount when the number of landslides jumps according to the relationship diagram between the two, using the deformation value corresponding to the first jump as the warning-level deformation threshold, and the deformation value corresponding to the second jump. The deformation threshold is the alarm-level deformation threshold.
进一步地,根据历史滑坡区域的形变数据训练滑坡区域形变判据模型并根据该模型得到准确的预警级形变阈值和警报级形变阈值。Further, the deformation criterion model of the landslide area is trained according to the deformation data of the historical landslide area, and the accurate deformation threshold of the warning level and the deformation threshold of the warning level are obtained according to the model.
进一步地,所述初预警区域的二次预警具体为,根据初步预警区域的时序形变数据与预警级形变阈值和警报级形变阈值之间的关系判定初步预警区域的活跃程度。Further, the secondary warning of the preliminary warning area specifically includes determining the activity level of the preliminary warning area according to the relationship between the time series deformation data of the preliminary warning area and the deformation threshold of the warning level and the deformation threshold of the warning level.
与现有技术相比,本发明的优点在于:本发明针对滑坡特有的突发性、隐蔽性、不确定性等复杂特点,通过研究滑坡时序降雨量与时序形变量之间的相关性实现了对滑坡、降雨量和形变量之间关系的归纳,可以精确的确定目标是否为滑坡预警区域。Compared with the prior art, the advantage of the present invention is that: the present invention aims at complex characteristics such as suddenness, concealment and uncertainty unique to landslides, and realizes the induction of the relationship between landslides, rainfall and deformation by studying the correlation between landslide time-series rainfall and time-series deformation variables, and can accurately determine whether the target is a landslide early warning area.
附图说明Description of drawings
为了更清楚地说明本发明实施例或现有技术中的技术方案,下面将对实施例或现有技术描述中所需要使用的附图作简单地介绍,显而易见地,下面描述中的附图仅仅是本发明的一些实施例,对于本领域普通技术人员来讲,在不付出创造性劳动的前提下,还可以根据这些附图获得其他的附图。In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the following will briefly introduce the accompanying drawings required in the description of the embodiments or prior art. Obviously, the accompanying drawings in the following description are only some embodiments of the present invention. For those of ordinary skill in the art, other accompanying drawings can also be obtained according to these drawings without creative work.
图1是本发明基于滑坡形变信息和气象数据的SAR滑坡预警方法的流程图。Fig. 1 is a flowchart of the SAR landslide early warning method based on landslide deformation information and meteorological data in the present invention.
图2是滑坡区域降雨量散点图。Figure 2 is a scatter diagram of rainfall in the landslide area.
图3有效降雨量与滑坡发生次数之间的关系曲线图Fig.3 The relationship curve between effective rainfall and landslide occurrence times
图4是初步预警判据图。Figure 4 is a preliminary early warning criterion diagram.
图5是获取目标区域时序形变数据流程图。Fig. 5 is a flow chart of acquiring time-series deformation data of the target area.
图6是研究区域形变数据图。Figure 6 is the deformation data map of the study area.
图7是两次预警概略图。Figure 7 is a schematic diagram of two early warnings.
具体实施方式Detailed ways
下面结合附图对本发明的优选实施例进行详细阐述,以使本发明的优点和特征能更易于被本领域技术人员理解,从而对本发明的保护范围做出更为清楚明确的界定。The preferred embodiments of the present invention will be described in detail below in conjunction with the accompanying drawings, so that the advantages and features of the present invention can be more easily understood by those skilled in the art, so as to define the protection scope of the present invention more clearly.
参阅图1所示,是本实施例公开了的一种典型的基于滑坡形变信息和气象数据的SAR滑坡预警方法,包括以下步骤:Referring to shown in Fig. 1, it is a kind of typical SAR landslide early warning method based on landslide deformation information and meteorological data that the present embodiment discloses, comprises the following steps:
步骤S1、计算历史滑坡发生的次数与滑坡发生前时序降雨量之间的相关系数,确定有效降雨量引发滑坡的降雨量阈值。具体为:Step S1. Calculate the correlation coefficient between the number of historical landslide occurrences and the time-series rainfall before the landslide occurs, and determine the rainfall threshold for the effective rainfall to trigger the landslide. Specifically:
降雨次数与降雨量呈正相关的情况下,会增加滑坡发生的可能性。本实施例收集了现有滑坡区域附近降雨观测站的降雨量数据,采用滑坡前若干时间内当天降雨量数据分别乘以当天有效降雨系数来得到有效降雨量,其中有效降雨系数使用幂指数形式的计算方式:When the frequency of rainfall is positively correlated with the amount of rainfall, the possibility of landslides will increase. In this embodiment, the rainfall data of the rainfall observation station near the existing landslide area are collected, and the rainfall data of the day are multiplied by the effective rainfall coefficient of the day for a certain period of time before the landslide to obtain the effective rainfall.
γn=γ0+Tγ1+T2γ2+T3γ3+...+Tnγn (1);γ n =γ 0 +Tγ 1 +T 2 γ 2 +T 3 γ 3 +...+T n γ n (1);
式中γn代表有效降雨量;γ0代表当天降雨量;γ1、γ2、γ3、...、γn代表当天之前的降雨量;n为经过的天数;T为降雨系数,取为0.9、0.8、0.7、0.6、0.5、0.4,本发明中利用该降雨量与滑坡发生次数的相关性来确定T。In the formula, γ n represents the effective rainfall; γ 0 represents the rainfall of the day; γ 1 , γ 2 , γ 3 , ..., γ n represent the rainfall before the day; n is the number of days passed;
本实施例获取了四川省500处滑坡点,并收集了距离每处滑坡点最近的降雨监测站的时序降雨量数据,并对滑坡发生次数与降雨量之间的关系进行了统计分析,制定滑坡滑坡发生次数与不同有效降雨量之间的关系散点图,所选部分滑坡区域降雨量散点图如图2所示。根据有效降雨量与滑坡发生次数之间的关系曲线图(如图3)可以看出,当有效降雨量达到60mm时,曲线变陡,斜率增加,滑坡次数出现跳跃现象,此时相关系数也已超过半数以上,当有效降雨量达到120mm和200mm时,同样出现类似现象,因此本文将有效降雨量阈值D分别设置为60mm、120mm、200mm,对应初次滑坡预警等级:注意级,预警级,警报级,继而获取滑坡灾害初步预警判据模型,如图4所示,分为最低临界线和中间临界线,以及A、B、C三个区域,低于降雨量最低临界线为非预警区域,即A区域;高于最低临界线低于中间临界线(即B区域)为待选预警区域;高于中间临界线(即C区域)为重点预警区域。In this embodiment, 500 landslide points in Sichuan Province were obtained, and the time-series rainfall data of the rainfall monitoring station closest to each landslide point were collected, and the relationship between the number of occurrences of landslides and rainfall was statistically analyzed, and a scatter diagram of the relationship between the number of occurrences of landslides and different effective rainfall was formulated. The scatter diagram of rainfall in selected landslide areas is shown in Figure 2. According to the relationship curve between the effective rainfall and the number of landslides (as shown in Figure 3), it can be seen that when the effective rainfall reaches 60mm, the curve becomes steeper, the slope increases, and the number of landslides jumps. At this time, the correlation coefficient has also exceeded half. When the effective rainfall reaches 120mm and 200mm, similar phenomena also occur. Therefore, this paper sets the effective rainfall threshold D as 60mm, 120mm, and 200mm respectively, corresponding to the initial landslide warning level: attention level, warning level, and alarm level. Then obtain the preliminary warning criterion model of landslide hazards, as shown in Figure 4, which is divided into the lowest critical line and the middle critical line, and three areas A, B, and C. Below the lowest critical line of rainfall is the non-warning area, that is, A area; higher than the lowest critical line and lower than the middle critical line (ie, B area) is the candidate early warning area; higher than the middle critical line (ie, C area) is the key early warning area.
步骤S2、依据公式(2)计算时序降雨量与时序形变量之间的相关性,对S1获取的有效降雨量阈值矫正,根据二者之间相关系数的高低获取有效降雨量对滑坡区域形变量的贡献量,以此验证有效降雨量阈值的有效性。本实施列中,依据公式(2)获取的相关系数与S1获取的有效降雨量阈值具有一致性。Step S2, calculate the correlation between the time-series rainfall and the time-series deformation according to the formula (2), correct the effective rainfall threshold obtained by S1, and obtain the contribution of the effective rainfall to the deformation of the landslide area according to the level of the correlation coefficient between the two, so as to verify the effectiveness of the effective rainfall threshold. In this embodiment, the correlation coefficient obtained according to formula (2) is consistent with the effective rainfall threshold value obtained by S1.
步骤S3、利用降雨量阈值和区域降雨量信息进行滑坡初预警,具体为:据有效降雨量阈值,对目标区域进行初步预警。首先获取目标区域的时序降雨量数据,并依据以上公式(1)计算每个时间点的有效降雨量,根据公式(3)对目标区域进行初步预警,判别目标是否为滑坡易发区域。Step S3, using the rainfall threshold and regional rainfall information to perform preliminary warning of landslides, specifically: performing preliminary warning of the target area according to the effective rainfall threshold. Firstly, the time-series rainfall data of the target area is obtained, and the effective rainfall at each time point is calculated according to the above formula (1), and the preliminary early warning of the target area is carried out according to the formula (3), to determine whether the target is a landslide-prone area.
步骤S4、获取初预警区域的时序形变数据,具体为:通过步骤S3判断出滑坡易发区域,对该区域的SAR数据进行时序InSAR处理,获取该区域的时序形变数据。本实施例采用SBAS-InSAR技术,首先,设置时空基线阈值获取干涉像对;然后,进行影像配准,所有的影像都配准到超级主影像;继而进行相干性计算和干涉图滤波,生成相干系数图和滤波后的二次差分干涉图;采用可以最小化解缠相位梯度与真实相位梯度差异的方式实现滤波后的二次差分干涉图的解缠;根据相干系数的大小获取高相干点,进行轨道精炼与重去平,最大限度去除残余轨道相位和地平相位;在此基础上对相干系数阈值法获取的高相干点的相位进行统计分析,并对每个相干点进行建模和解算,利用奇异值分解的方式获取高相干区域的线性形变相位与高程误差相位;最后分离出残余相位,对残余相位进行二次解缠,使用空间域滤波的方式获取大气相位,至此干涉相位中的各个成分均已求出,将原始相位时间序列与求出的各个干扰相位进行做差,求得研究区域的线性形变相位和非线性形变相位。Step S4. Obtain the time-series deformation data of the initial warning area, specifically: determine the landslide-prone area through step S3, perform time-series InSAR processing on the SAR data of this area, and obtain the time-series deformation data of this area. This embodiment adopts SBAS-InSAR technology. First, set the threshold of space-time baseline to obtain interference image pairs; then, image registration is performed, and all images are registered to the super master image; then coherence calculation and interferogram filtering are performed to generate a coherence coefficient map and a filtered secondary differential interferogram; the unwrapping of the filtered secondary differential interferogram is achieved by minimizing the difference between the unwrapped phase gradient and the real phase gradient; Remove the residual orbital phase and horizon phase; on this basis, statistically analyze the phase of the high-coherence point obtained by the coherence coefficient threshold method, and model and solve each coherent point, and use the singular value decomposition method to obtain the linear deformation phase and the elevation error phase of the high-coherence area; finally separate the residual phase, perform secondary unwrapping on the residual phase, and use the spatial domain filter to obtain the atmospheric phase. So far, each component in the interference phase has been obtained. The linear deformation phase and the nonlinear deformation phase of .
SBAS-InSAR技术的主要处理流程如图5所示。The main processing flow of SBAS-InSAR technology is shown in Figure 5.
步骤S5、根据时序有效降雨量与时序形变数据之间的相关系数确定引发滑坡的有效形变量,并据此计算滑坡发生的临界形变阈值,具体为:Step S5, according to the correlation coefficient between the time-series effective rainfall and time-series deformation data, determine the effective deformation amount that triggers the landslide, and calculate the critical deformation threshold for the occurrence of the landslide accordingly, specifically:
本实施例对现有滑坡区域的时序SAR数据进行了干涉处理,使用SBAS-InSAR技术获取了各处滑坡的时序形变数据,具体操作过程如下:In this embodiment, the time-series SAR data of the existing landslide area is subjected to interference processing, and the time-series deformation data of various landslides are obtained using SBAS-InSAR technology. The specific operation process is as follows:
去除干扰相位后,即可假设得到的干涉图中不包含残余地形相位、大气相位以及噪声相位,这时第j幅干涉相位图在方位—距离像素坐标系(x,r)中可以表示为:After the interference phase is removed, it can be assumed that the obtained interferogram does not contain residual terrain phase, atmospheric phase and noise phase. At this time, the jth interferogram in the azimuth-distance pixel coordinate system (x, r) can be expressed as:
式中,λ为雷达波长;d(tB,x,r)和d(tA,x,r)分别为tB和tA时刻相对应于参考时刻t0的视线防线累计的形变量,因而有d(t0,x,r)≡0;以d(ti,x,r),(i=1,2,3…N(影像的数量))来表示形变时间序列,对应的相位为即有:In the formula, λ is the radar wavelength; d(t B , x, r) and d(t A , x, r) are respectively the accumulated deformation of the line of sight defense at time t B and t A corresponding to the reference time t 0 , so d(t 0 , x, r)≡0; d(t i , x, r), (i=1, 2, 3...N (number of images)) is used to represent the deformation time series, and the corresponding phase is That is:
将研究区域每一像元点的形变量所对应的M个相位值用向量表示:The M phase values corresponding to the deformation of each pixel point in the study area are represented by vectors:
将从差分干涉图上计算的个值表示为向量:will be calculated from the differential interferogram values are represented as vectors:
其中,主影像IE=[IE1,IE2,IE2,...,IEM],副影像IS=[IS1,IS2,IS3,...,ISM]。Wherein, main image IE=[IE 1 , IE 2 , IE 2 , . . . , IE M ], secondary image IS=[IS 1 , IS 2 , IS 3 , . . . , IS M ].
由上述公式可以将干涉图的矢量相位以矩阵的形式表达:According to the above formula, the vector phase of the interferogram can be expressed in the form of matrix:
矩阵中,每一行与每一副差分干涉相位图相对应,每一列则对应于不同时间的SAR影像,该矩阵中主影像与副影像所在的列为±1,其余列为0,如即可以将[M×N]阶矩阵G表示为:In the matrix, each row corresponds to each differential interferogram, and each column corresponds to a SAR image at a different time. In this matrix, the column of the main image and the secondary image is ±1, and the remaining columns are 0, such as That is, the matrix G of order [M×N] can be expressed as:
当生成一系列干涉对处于同一小基线子集中时,M≥N且N为G的秩,通过最小二乘法即可得到相位矩阵:When a series of interference pairs are generated in the same small baseline subset, M≥N and N is the rank of G, the phase matrix can be obtained by the least square method:
对于不可能所有影像的干涉对都在同一个基线子集中的现象,依据阈值将已有的SAR组合为具有一定数量的子集,继而GTG就是一个降秩后的矩阵,For the phenomenon that it is impossible for the interference pairs of all images to be in the same baseline subset, the existing SARs are combined into a certain number of subsets according to the threshold, and then G T G is a reduced-rank matrix,
从而可以降低噪声和相干性对干涉对的影响。对于矩阵为不满秩矩阵的现象采用奇异值分解(SBAS-InSAR的核心算法)的方法,即将奇异矩阵分解为:The effect of noise and coherence on the interfering pair can thus be reduced. Singular value decomposition (the core algorithm of SBAS-InSAR) is used for the phenomenon that the matrix is not a rank matrix, that is, the singular matrix is decomposed into:
G=USVT (12)G = USV T (12)
式中,VT为平均相位的速率,U为正交矩阵,S为对角矩阵。继而可以将相位转换为平均相位速度:In the formula, V T is the velocity of the average phase, U is an orthogonal matrix, and S is a diagonal matrix. The phase can then be converted to an average phase velocity:
在求得速度矢量V的最小范数解,进行积分求得相位的估计值。即可得到较为精确的形变相位矢量δ。本实施例的部分时序形变速率图如图6所示,根据滑坡区域的形变数据训练滑坡区域形变判据模型。After obtaining the minimum norm solution of the velocity vector V, the integral is obtained to obtain the estimated value of the phase. A more accurate deformation phase vector δ can be obtained. Part of the time-series deformation rate diagram of this embodiment is shown in FIG. 6 , and the deformation criterion model of the landslide area is trained according to the deformation data of the landslide area.
时序形变速率判据图与初步预警判据图的获取方法基本类似,通过计算滑坡发生时的时序累计形变量与滑坡发生次数之间的相关系数获取获取形变阈值,根据二者之间的关系图获取或滑坡次数出现跳跃时所对应的形变量,以第一次跳跃对应的形变值为预警级形变阈值,第二次跳跃对应的形变值为警报级形变阈值。而本实施例的二次预警判据图如图7所示。The acquisition method of the time-series deformation rate criterion diagram is basically similar to that of the preliminary early warning criterion diagram. The deformation threshold is obtained by calculating the correlation coefficient between the time-series cumulative deformation and the number of landslide occurrences when the landslide occurs. According to the relationship diagram between the two, the corresponding deformation value is obtained when the number of landslides jumps. The deformation value corresponding to the first jump is the warning level deformation threshold, and the deformation value corresponding to the second jump is the alarm level deformation threshold. The secondary early warning criterion diagram of this embodiment is shown in FIG. 7 .
步骤S6、利用临界形变阈值对步骤S3中获取的滑坡初预警区域和步骤S4中获取的时序形变数据进行检核,实现初预警区域的二次预警。具体为:综合利用滑坡灾害发生前后的反演的形变数据,实现对滑坡区域时序形变量和形变速率的准确反演,在此基础上,步骤S5建立了滑坡发生的临界形变判据图。利用步骤S5获取的滑坡临界形变阈值对步骤S3和步骤S4获取的滑坡初预警区域及其时序形变数据进行检核,根据初步预警区域的时序形变数据与形变判据图之间的关系进一步判定初步预警区域的活跃程度,最终判定目标区域类型:注意级别、预警级、警报级。Step S6, using the critical deformation threshold to check the landslide initial warning area acquired in step S3 and the time-series deformation data acquired in step S4, so as to realize the secondary warning of the initial warning area. Specifically: comprehensively utilize the inversion deformation data before and after the landslide disaster occurs, and realize the accurate inversion of the time-series deformation variables and deformation rates in the landslide area. On this basis, step S5 establishes the critical deformation criterion diagram for the landslide occurrence. The critical deformation threshold of the landslide obtained in step S5 is used to check the landslide preliminary warning area and its time-series deformation data obtained in steps S3 and S4, and further determine the activity of the preliminary warning area according to the relationship between the time-series deformation data of the preliminary warning area and the deformation criterion map, and finally determine the type of the target area: attention level, warning level, and warning level.
虽然结合附图描述了本发明的实施方式,但是专利所有者可以在所附权利要求的范围之内做出各种变形或修改,只要不超过本发明的权利要求所描述的保护范围,都应当在本发明的保护范围之内。Although the embodiment of the present invention has been described in conjunction with the accompanying drawings, the patent owner can make various deformations or modifications within the scope of the appended claims, as long as they do not exceed the protection scope described in the claims of the present invention, all should be within the protection scope of the present invention.
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