CN115236667B - A method for estimating potential landslide volume by fusing multi-source SAR data - Google Patents
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Abstract
Description
技术领域Technical Field
本发明涉及地质灾害防治安全技术领域,尤其涉及一种融合多源SAR数据的潜在滑坡体积估算方法。The invention relates to the field of geological disaster prevention and control safety technology, and in particular to a potential landslide volume estimation method that fuses multi-source SAR data.
背景技术Background technique
近年来,在滑坡监测领域,“空-天-地”的监测手段不断发展,灾害的监测及预测得到了较大的提升。合成孔径雷达干涉(Synthetic Aperture Radar Interferometry,InSAR)技术作为一种主动遥感技术,因其具有监测范围广,不受天气限制,可以全天时、全天候获取影像的优势,在滑坡灾害的监测中得到了较好的应用。In recent years, in the field of landslide monitoring, the "air-space-ground" monitoring methods have been continuously developed, and the monitoring and prediction of disasters have been greatly improved. Synthetic Aperture Radar Interferometry (InSAR) technology, as an active remote sensing technology, has been widely used in the monitoring of landslide disasters because of its wide monitoring range, no weather restrictions, and the ability to obtain images all day and all weather.
在通常的灾害监测方面,目前较多的研究仍是基于地表变形进行监测的,无法具体地揭示滑坡的危险程度,且对于滑坡的危害及滑坡体积的研究,常用的单点接触式探测,其成本较高、耗时长并且受数据量限制,采用少量点进行大范围插值难免会影响滑坡面位置和形状的估计精度,不利于对滑坡体积、形变模式的精确估计,影响滑坡的危险性评价。In terms of general disaster monitoring, most of the current research is still based on monitoring of surface deformation, which cannot specifically reveal the degree of danger of landslides. In addition, for the study of landslide hazards and landslide volumes, the commonly used single-point contact detection is costly, time-consuming and limited by the amount of data. The use of a small number of points for large-scale interpolation will inevitably affect the estimation accuracy of the position and shape of the landslide surface, which is not conducive to the accurate estimation of landslide volume and deformation mode, and affects the hazard assessment of landslides.
通过使用InSAR技术获取地表的面状形变监测结果,结合弹性位错模型寻找最佳滑动面,可以实现滑坡体积的估计,为灾害的危险性预测提供数据支撑。而现有的对潜在滑坡体积估计的研究方法多集中于钻孔及探地雷达等接触式的探测,其不仅成本高、耗时长,且不利于大型滑坡与深层滑坡的滑动面及深度探测。By using InSAR technology to obtain surface deformation monitoring results and combining it with the elastic dislocation model to find the best sliding surface, the landslide volume can be estimated, providing data support for disaster risk prediction. However, existing research methods for estimating the volume of potential landslides mostly focus on contact detection such as drilling and ground penetrating radar, which is not only costly and time-consuming, but also not conducive to the sliding surface and depth detection of large and deep landslides.
发明内容Summary of the invention
本发明提供了一种融合多源SAR数据的潜在滑坡体积估算方法,目的是为了解决现有技术中存在的缺点。The present invention provides a potential landslide volume estimation method by fusing multi-source SAR data, aiming at solving the shortcomings in the prior art.
为了实现上述目的,本发明提供如下技术方案:一种融合多源SAR数据的潜在滑坡体积估算方法,包括如下步骤:In order to achieve the above object, the present invention provides the following technical solution: a method for estimating the volume of a potential landslide by fusing multi-source SAR data, comprising the following steps:
获取潜在滑坡区域的SAR数据;Obtain SAR data of potential landslide areas;
采用Stacking InSAR技术对SAR数据进行时序InSAR处理,获取升、降轨视线向形变速率图;The Stacking InSAR technology is used to perform time-series InSAR processing on SAR data to obtain the line-of-sight deformation rate maps of ascending and descending orbits;
根据升、降轨视线向形变速率图、数字地形高程模型DEM及光学影像确定滑坡表面变形的边界;Determine the deformation boundary of the landslide surface based on the ascending and descending track line-of-sight deformation rate map, digital terrain elevation model (DEM) and optical images;
确定Okada弹性位错模型反演滑坡滑动面时所需的几何参数及运动学参数;Determine the geometric and kinematic parameters required for inversion of the landslide sliding surface using the Okada elastic dislocation model;
将升、降轨视线向形变速率图转换成离散点,并添加对应的经纬度坐标,作为反演的表层约束条件;The ascending and descending orbit line-of-sight deformation rate diagrams are converted into discrete points, and the corresponding longitude and latitude coordinates are added as surface constraints for inversion;
输入表层约束条件于Okada弹性位错模型对滑动面进行反演,并选择不同的平滑因子,进行多次反演计算;Input the surface constraints to the Okada elastic dislocation model to invert the sliding surface, select different smoothing factors, and perform multiple inversion calculations;
通过反演得到多个模拟结果,将模拟结果与观测结果进行对比,选取最佳拟合度的模拟结果,从而获取滑动体距离地表的深度及滑动面的形变,确定出滑动面上的形变范围及滑动面形变方向;By inversion, multiple simulation results are obtained, and the simulation results are compared with the observation results. The simulation result with the best fit is selected to obtain the depth of the sliding body from the surface and the deformation of the sliding surface, and determine the deformation range and deformation direction of the sliding surface.
通过滑动面形变面积与滑动体深度的积分计算滑坡体积,并根据滑动面上的滑动面形变方向确定滑坡的形变类型。The volume of the landslide is calculated by integrating the deformation area of the sliding surface and the depth of the sliding body, and the deformation type of the landslide is determined according to the deformation direction of the sliding surface on the sliding surface.
优选的,对所述SAR数据进行形变监测,所述形变监测的过程包括:Preferably, deformation monitoring is performed on the SAR data, and the deformation monitoring process includes:
数据获取:下载Sentinel-1的升、降轨数据、30米的SRTM DEM数据及Sentinel-1精密轨道数据,并通过对上述数据进行预处理后获取单视复数影像SLC;Data acquisition: Download the ascending and descending orbit data of Sentinel-1, the 30-meter SRTM DEM data and the Sentinel-1 precise orbit data, and obtain the single-view complex image SLC by preprocessing the above data;
形变监测:采用Stacking InSAR技术获取滑坡区域的形变速率图;Deformation monitoring: Stacking InSAR technology is used to obtain deformation rate maps of the landslide area;
滑坡变形区域确定:根据获取的形变监测结果,对比升、降轨影像监测结果,结合DEM地形图及光学影像,确定滑坡形变边界,并计算出该边界范围的面积。Determination of landslide deformation area: Based on the deformation monitoring results obtained, compare the ascending and descending orbit image monitoring results, combine the DEM topographic map and optical image, determine the landslide deformation boundary, and calculate the area of the boundary range.
优选的,获取所述形变速率图的具体过程包括:Preferably, the specific process of obtaining the deformation rate map includes:
通过设置一定空间和时间基线阈值,在满足条件的SAR影像间进行干涉处理,生成多个干涉图集;By setting certain spatial and temporal baseline thresholds, interferometric processing is performed between SAR images that meet the conditions to generate multiple interferometric atlases.
每个干涉图的相位主要包括DEM误差造成的相位形变产生的相位大气延迟所产生的相位/>噪声所引起的相位/> The phase of each interferogram mainly includes the phase caused by DEM error Phase of deformation Phase caused by atmospheric delay/> Phase caused by noise/>
通过剔除相位中的获取形变产生的相位信息;By eliminating the phase Obtaining phase information generated by deformation;
采用Stacking InSAR技术获取雷达视线向的年平均形变速率图。The Stacking InSAR technology is used to obtain the annual average deformation rate map in the radar line of sight.
优选的,所述Stacking InSAR技术在估计形变速率时,通过对若干个干涉解缠图进行相位叠加,获取形变速率图;Preferably, when estimating the deformation rate, the Stacking InSAR technology obtains a deformation rate map by performing phase superposition on a plurality of interference unwrapping maps;
其中,权重据主从影像的时间间隔计算,Stacking InSAR的数学模型如下:The weight is calculated based on the time interval between the master and slave images. The mathematical model of Stacking InSAR is as follows:
式中,ph_rate为相位形变速率,Δti为第i个解缠图的两幅影像之间的时间间隔,为第i个干涉图的解缠相位值。Where ph_rate is the phase deformation rate, Δt i is the time interval between the two images of the i-th unwrapped image, is the unwrapped phase value of the i-th interference pattern.
优选的,反演所述滑动面时所需要的几何参数及运动学参数包括宽、深度、走向角、倾角、最大滑动量、滑动角,其中,参数确定的具体方法如下:Preferably, the geometric parameters and kinematic parameters required for inverting the sliding surface include width, depth, strike angle, dip angle, maximum sliding amount, and sliding angle, wherein the specific method for determining the parameters is as follows:
初始深度设置:滑坡体的厚度,根据平均厚度进行迭代优化;Initial depth setting: the thickness of the landslide body, iteratively optimized according to the average thickness;
初始宽度设置:沿主滑方向的的形变区域的宽度;Initial width setting: the width of the deformation area along the main sliding direction;
走向角的设置:先确定滑坡的主滑方向,然后做主滑方向的垂线,垂线与北方向的夹角即为初始走向角;Setting of strike angle: first determine the main sliding direction of the landslide, then make a vertical line to the main sliding direction. The angle between the vertical line and the north direction is the initial strike angle.
初始倾角设置:设置与边坡的坡度接近的区间进行搜索,通过不断调整确定最佳的倾角;Initial inclination angle setting: set the interval close to the slope to search, and determine the best inclination angle through continuous adjustment;
最大滑动量:设置滑动面的最大滑动限制值;Maximum sliding amount: Set the maximum sliding limit value of the sliding surface;
初始滑动角:设置一定的搜索范围,不断调整区间的最大最小的滑动角值,通过多次反演计算确定滑动角的大小。Initial sliding angle: Set a certain search range, continuously adjust the maximum and minimum sliding angle values in the interval, and determine the size of the sliding angle through multiple inversion calculations.
优选的,采用Okada弹性位错模型对滑动面进行反演的过程包括如下步骤:Preferably, the process of inverting the sliding surface using the Okada elastic dislocation model comprises the following steps:
结合InSAR技术获得的形变监测结果,确定滑坡的形变边界和区域;Combined with the deformation monitoring results obtained by InSAR technology, the deformation boundary and area of the landslide are determined;
使用四叉树采样法对数据进行降采样;Use quadtree sampling to downsample the data;
设定要反演滑动面区域的规模和方向,构建位错反演模型,并将滑动面沿着走向、倾向划分为多个子位错源,给定滑动面的长、宽、深度及子位错的分块情况。The scale and direction of the sliding surface area to be inverted are set, a dislocation inversion model is constructed, and the sliding surface is divided into multiple sub-dislocation sources along the strike and dip, and the length, width, depth of the sliding surface and the block structure of the sub-dislocation are given.
优选的,通过Okada弹性位错模型计算每一个子块位错的形变,具体计算公式为:Preferably, the deformation of each sub-block dislocation is calculated by the Okada elastic dislocation model, and the specific calculation formula is:
S=[GTC-1G]-1GC-1XS=[G T C -1 G] -1 GC -1 X
其中,S为每个子位错源的滑动量,G为由地面形变与滑动面之间的联系建立的格林函数,C为观测值数据的协方差,X为地表的形变。Among them, S is the slip amount of each sub-dislocation source, G is the Green's function established by the connection between ground deformation and sliding surface, C is the covariance of observation data, and X is the deformation of the surface.
优选的,所述滑坡体积的具体计算公式如下:Preferably, the specific calculation formula of the landslide volume is as follows:
其中,a,b分别用a1,a2,b1,b2,h来表示,a1,b1分别为滑动面的外接椭圆的长短半轴,a2,b2分别为滑坡表面的外接椭圆的长短半轴,h表示滑坡体深度,则公式的具体变形公式为:Among them, a, b are represented by a1, a2, b1, b2, and h respectively, a1, b1 are the major and minor semi-axes of the circumscribed ellipse of the sliding surface, a2, b2 are the major and minor semi-axes of the circumscribed ellipse of the landslide surface, and h represents the depth of the landslide body. The specific deformation formula of the formula is:
a=a1+z(a2-a1)/ha=a1+z(a2-a1)/h
b=b2+z(b2-b1)/hb=b2+z(b2-b1)/h
优选的,所述滑坡表面变形的参数包括变形范围、形变量级。Preferably, the parameters of the landslide surface deformation include deformation range and deformation magnitude.
本发明与现有技术相比具有以下有益效果:Compared with the prior art, the present invention has the following beneficial effects:
1、利用时序InSAR技术进行多源数据形变探测,获取不同数据的形变监测结果,通过比较,确定潜在滑坡在地表的面积和周长,并结合弹性位错模型,寻找一个最可能的滑坡基底滑动的位错平面,并获取滑动面的位置、形状和大小,并结合滑坡深度,利用该平面计算潜在滑坡的体积,精确判定潜在滑坡体的方量,为后续的数值模拟等滑坡灾害预测方法提供数据支持,具有较好的应用价值。1. Use time-series InSAR technology to perform multi-source data deformation detection and obtain deformation monitoring results of different data. By comparison, determine the area and perimeter of the potential landslide on the surface, and combine with the elastic dislocation model to find the most likely dislocation plane for the sliding of the landslide base, and obtain the position, shape and size of the sliding surface. Combined with the depth of the landslide, use this plane to calculate the volume of the potential landslide, accurately determine the volume of the potential landslide body, and provide data support for subsequent numerical simulation and other landslide disaster prediction methods, which has good application value.
2、本发明与质量守恒反演滑坡体厚度的方法不同,不需要使用流变参数等外部的参数,不仅获取了潜在滑坡体厚度,并反演了滑动面的形变信息,在此基础上,结合了InSAR的形变信息计算了滑坡体的体积。2. The present invention is different from the method of inverting the thickness of the landslide body by mass conservation. It does not need to use external parameters such as rheological parameters. It not only obtains the thickness of the potential landslide body, but also inverts the deformation information of the sliding surface. On this basis, it calculates the volume of the landslide body in combination with the deformation information of InSAR.
附图说明BRIEF DESCRIPTION OF THE DRAWINGS
图1为本发明提供的一种融合多源SAR数据的潜在滑坡体积估算方法的具体流程图;FIG1 is a specific flow chart of a method for estimating the volume of a potential landslide by fusing multi-source SAR data provided by the present invention;
图2为本发明提供的滑坡位错模型及参数示意图;FIG2 is a schematic diagram of a landslide dislocation model and parameters provided by the present invention;
图3为本发明提供的滑坡体体积估算示意图;FIG3 is a schematic diagram of landslide volume estimation provided by the present invention;
图4为本发明提供的升、降轨形变速率图;FIG4 is a diagram of the deformation rate of the ascending and descending rails provided by the present invention;
图5为本发明提供的粗糙度和拟合残差曲线图;FIG5 is a roughness and fitting residual curve diagram provided by the present invention;
图6为本发明提供的升、降轨反演结果图;FIG6 is a diagram of the ascending and descending orbit inversion results provided by the present invention;
图7为本发明提供的最优滑动分布图;FIG7 is an optimal sliding distribution diagram provided by the present invention;
图8为本发明提供的滑坡体1各滑坡单元形变方向图;FIG8 is a deformation direction diagram of each landslide unit of the landslide body 1 provided by the present invention;
图9为本发明提供的滑坡体1的坡向图;FIG9 is a slope diagram of the landslide body 1 provided by the present invention;
图10为本发明提供的滑坡体2各滑坡单元形变方向图;FIG10 is a deformation direction diagram of each landslide unit of the landslide body 2 provided by the present invention;
图11为本发明提供的滑坡体2的坡向图。FIG. 11 is a slope diagram of the landslide body 2 provided by the present invention.
具体实施方式Detailed ways
下面结合附图,对本发明的具体实施方式作进一步描述。以下实施例仅用于更加清楚地说明本发明的技术方案,而不能以此来限制本发明的保护范围。The specific implementation of the present invention is further described below in conjunction with the accompanying drawings. The following embodiments are only used to more clearly illustrate the technical solution of the present invention, and cannot be used to limit the protection scope of the present invention.
一种多源SAR数据融合的潜在滑坡体积估计方法结合InSAR技术获取的地面表层形变及弹性位错模型所确定的滑动面进行滑坡体积的估算。如图1所示,一种多源SAR数据融合的潜在滑坡体积估计方法的技术方案如下:A potential landslide volume estimation method based on multi-source SAR data fusion combines the ground surface deformation obtained by InSAR technology and the sliding surface determined by the elastic dislocation model to estimate the landslide volume. As shown in Figure 1, the technical solution of a potential landslide volume estimation method based on multi-source SAR data fusion is as follows:
步骤1:采用Sentinel-1A数据使用Stacking InSAR技术进行SAR数据处理,获取升、降轨视线向形变速率图。Step 1: Use the Stacking InSAR technology to process the Sentinel-1A data and obtain the line-of-sight deformation rate diagrams for ascending and descending orbits.
步骤2:根据形变速率图结果、数字地形高程模型DEM及光学影像,确定滑坡表面变形的参数,包括变形范围、形变量级等。Step 2: Determine the parameters of landslide surface deformation, including deformation range, deformation magnitude, etc., based on the deformation rate map results, digital terrain elevation model (DEM) and optical images.
步骤3:确定Okada弹性位错模型反演滑坡的滑动面时所需要的几何参数及运动学参数:宽、深度、走向角、倾角、最大滑动量、滑动角等参数;其中,参数确定的具体方法如下:Step 3: Determine the geometric parameters and kinematic parameters required for inverting the sliding surface of the landslide using the Okada elastic dislocation model: width, depth, strike angle, dip angle, maximum sliding amount, sliding angle and other parameters; the specific method for determining the parameters is as follows:
(1)初始深度设置:滑坡体的厚度,根据平均厚度进行迭代优化。(1) Initial depth setting: the thickness of the landslide body, which is iteratively optimized based on the average thickness.
(2)初始宽度设置:沿主滑方向的的形变区域的宽度。(2) Initial width setting: the width of the deformation area along the main sliding direction.
(3)走向角的设置:先确定滑坡的主滑方向,然后做主滑方向的垂线,垂线与北方向的夹角即为初始走向角。(3) Setting of strike angle: First determine the main sliding direction of the landslide, then draw a perpendicular line to the main sliding direction. The angle between the perpendicular line and the north direction is the initial strike angle.
(4)初始倾角设置:设置与边坡的坡度接近的区间进行搜索,通过不断调整确定最佳的倾角。(4) Initial inclination angle setting: Set a range close to the slope of the slope for searching, and determine the optimal inclination angle through continuous adjustment.
(5)最大滑动量:设置滑动面的最大滑动限制值。(5) Maximum sliding amount: Set the maximum sliding limit value of the sliding surface.
(6)初始滑动角:设置一定的搜索范围,不断调整区间的最大最小的滑动角值,通过多次反演计算确定滑动角的大小。(6) Initial sliding angle: Set a certain search range, continuously adjust the maximum and minimum sliding angle values in the interval, and determine the size of the sliding angle through multiple inversion calculations.
步骤4:将升降轨的形变速率图转成离散点,并添加对应的经纬度坐标,作为反演的表层约束条件。Step 4: Convert the deformation rate diagram of the ascending and descending track into discrete points and add the corresponding longitude and latitude coordinates as surface constraints for inversion.
步骤5:对升、降轨视线向形变速率图进行降采样。通常采用四叉树与均匀降采样的方法,可以达到减少计算量,提高计算速度的目的。Step 5: Downsample the ascending and descending orbit line-of-sight deformation rate graphs. Usually, the quadtree and uniform downsampling method is used to reduce the amount of calculation and improve the calculation speed.
步骤6:输入表层约束条件于Okada弹性位错模型进行滑动面的反演。选择不同的平滑因子,进行多次反演计算,根据拟合结果的L曲线选择了最优平滑因子,减少不确定性,提升反演结果的稳定性。通过对比反演得到的多个模拟结果与观测结果,选取最佳拟合度的模拟结果,从而获取滑动体的深度及滑动面的形变,确定出滑动面上的形变范围及滑动面形变方向。Step 6: Input the surface constraints into the Okada elastic dislocation model to perform the inversion of the sliding surface. Select different smoothing factors, perform multiple inversion calculations, and select the optimal smoothing factor based on the L curve of the fitting result to reduce uncertainty and improve the stability of the inversion result. By comparing the multiple simulation results obtained by inversion with the observation results, the simulation result with the best fit is selected to obtain the depth of the sliding body and the deformation of the sliding surface, and determine the deformation range and deformation direction of the sliding surface.
步骤7:通过积分计算滑坡体积,并根据滑动面上的滑动面形变方向,确定滑坡的形变类型。Step 7: Calculate the landslide volume by integration and determine the deformation type of the landslide based on the deformation direction of the sliding surface on the sliding surface.
本发明主要分为三个关键的步骤:SAR形变监测,滑动面确定以及滑坡体积估计。The present invention is mainly divided into three key steps: SAR deformation monitoring, sliding surface determination and landslide volume estimation.
一、SAR形变监测包括:1. SAR deformation monitoring includes:
1、SAR数据获取:下载Sentinel-1的升、降轨数据,通过预处理获取单视复数影像SLC。1. SAR data acquisition: Download the ascending and descending orbit data of Sentinel-1, and obtain the single-view complex image SLC through preprocessing.
2、形变监测:采用Stacking InSAR技术获取滑坡区域的形变速率图。首先,通过设置一定空间和时间阈值,在满足条件的SAR影像间进行干涉,生成多个干涉图集。对于每一个干涉图,相位主要包括DEM误差造成的相位/>形变产生的相位/>大气延迟所产生的相位/>噪声所引起的相位/> 2. Deformation monitoring: Stacking InSAR technology is used to obtain the deformation rate map of the landslide area. First, by setting certain spatial and temporal thresholds, interference is performed between SAR images that meet the conditions to generate multiple interference map sets. For each interference map, the phase Mainly includes the phase caused by DEM error/> Phase produced by deformation/> Phase caused by atmospheric delay/> Phase caused by noise/>
然后,通过剔除相位中的获取形变产生的相位信息。在数据处理过程中,SAR坐标系下的地形相位可以通过外部的DEM数据模拟获取,通过差分剔除模拟获得的地形相位从而获取差分干涉图。对于地形误差,通过构建高程误差与轨道基线之间的关系进行去除;于大气相位误差,通过构建DEM与大气相位之间的二次多项式进行模拟并加以去除,获取形变相位图。最后,采用Stacking InSAR技术获取雷达视线向的年平均形变速率图,Stacking InSAR技术在估计形变速率时,权根据主从影像的时间间隔计算,Stacking InSAR的数学模型如下:Then, by removing the phase Obtain the phase information generated by deformation. During the data processing, the terrain phase in the SAR coordinate system can be obtained through external DEM data simulation, and the terrain phase obtained by differential elimination simulation can be used to obtain the differential interference map. For terrain errors, the relationship between elevation error and orbital baseline is constructed to remove them; for atmospheric phase errors, the quadratic polynomial between DEM and atmospheric phase is constructed to simulate and remove them to obtain the deformation phase map. Finally, the Stacking InSAR technology is used to obtain the annual average deformation rate map in the radar line of sight. When estimating the deformation rate, the Stacking InSAR technology is calculated based on the time interval between the master and slave images. The mathematical model of Stacking InSAR is as follows:
式中,ph_rate为相位形变速率,Δti为第i个解缠图的两幅影像之间的时间间隔,为第i个干涉图的解缠相位值。在Stacking InSAR处理过程中,为了减少大气扰动产生的误差,要使用去除大气误差的解缠干涉图,并剔除误差较大的干涉图,在满足相干性条件下,选择时间基线较长的干涉图进行处理,从而获取较为准确的形变速率。Where ph_rate is the phase deformation rate, Δt i is the time interval between the two images of the i-th unwrapped image, is the unwrapped phase value of the i-th interferogram. In the process of Stacking InSAR processing, in order to reduce the error caused by atmospheric disturbance, it is necessary to use the unwrapped interferogram with atmospheric error removed, and eliminate the interferogram with large error. Under the condition of meeting the coherence condition, the interferogram with longer time baseline is selected for processing, so as to obtain a more accurate deformation rate.
3、滑坡变形区域确定:根据获取的形变监测结果,对比升、降轨影像监测结果,结合DEM地形图及光学影像,确定滑坡形变边界,并计算出该边界范围的面积。3. Determination of landslide deformation area: Based on the deformation monitoring results obtained, compare the ascending and descending orbit image monitoring results, combine the DEM topographic map and optical images, determine the landslide deformation boundary, and calculate the area of the boundary range.
二、如图2所示,基于Okada弹性位错模型获取滑动面位置及形态的确定,其具体包括:2. As shown in FIG. 2 , the position and shape of the sliding surface are determined based on the Okada elastic dislocation model, which specifically includes:
根据遥感手段及GNSS等监测方式只能获取地表的信息,对于地球内部的变化很难通过这些技术进行判定。但对于滑坡来说,滑动面对滑坡活动起着重要的作用。根据前人研究,一些大型滑坡的滑动面可以假想为构造断层。因此,为了获取滑坡的体积,我们可以通过采用Okada位错模型,假设滑坡为各向同性介质,InSAR观测到的位移场是由各向同性弹性半空间内的平面位错模拟的,通过寻找观测值与模拟值的最佳拟合度对应的结果来确定滑动面的位置、形状和大小,进而为滑坡体积的估算提供数据。Remote sensing and GNSS monitoring methods can only obtain surface information, and it is difficult to determine changes in the interior of the earth through these technologies. However, for landslides, the sliding surface plays an important role in landslide activity. According to previous studies, the sliding surfaces of some large landslides can be assumed to be tectonic faults. Therefore, in order to obtain the volume of the landslide, we can use the Okada dislocation model, assuming that the landslide is an isotropic medium, and the displacement field observed by InSAR is simulated by a plane dislocation in an isotropic elastic half-space. By finding the best fit between the observed value and the simulated value, the position, shape and size of the sliding surface are determined, thereby providing data for the estimation of the landslide volume.
首先,结合InSAR技术获得的形变监测结果,确定滑坡的形变边界和区域,并使用四叉树采样法对数据进行降采样,提高计算效率。然后,设定滑动面的规模和方向,构建位错反演模型,并将滑动面沿着走向、倾向划分为多个子位错源,给定滑动面的长、宽、深度及子位错的分块情况,具体参数见图2。最后,通过Okada弹性位错模型计算每一个子块位错的形变。具体计算公式为:First, the deformation monitoring results obtained by InSAR technology are combined to determine the deformation boundary and area of the landslide, and the quadtree sampling method is used to downsample the data to improve the calculation efficiency. Then, the scale and direction of the sliding surface are set, the dislocation inversion model is constructed, and the sliding surface is divided into multiple sub-dislocation sources along the strike and dip. The length, width, depth of the sliding surface and the block situation of the sub-dislocation are given. The specific parameters are shown in Figure 2. Finally, the deformation of each sub-block dislocation is calculated using the Okada elastic dislocation model. The specific calculation formula is:
S=[GTC-1G]-1GC-1X (3)S=[G T C -1 G] -1 GC -1 X (3)
式中,S为每个子位错源的滑动量,G为由地面形变与滑动面之间的联系建立的格林函数,C为观测值数据的协方差,X为地表的形变。在反演过程中,由于子位错源的滑动量有时存在跳变现象,需要进行一定程度的平滑,来确保反演结果的稳定性。In the formula, S is the slip amount of each sub-dislocation source, G is the Green's function established by the connection between ground deformation and sliding surface, C is the covariance of observation data, and X is the deformation of the surface. In the inversion process, since the slip amount of the sub-dislocation source sometimes jumps, a certain degree of smoothing is required to ensure the stability of the inversion result.
三、如图3所示,对于滑坡体积估算的具体过程为:3. As shown in Figure 3, the specific process of estimating the landslide volume is as follows:
结合InSAR获取的表面形变监测结果,可以确定滑坡体的上表面面积,根据弹性位错模型反演的滑动面可以确定出滑坡体的下表面的面积,并且获取了滑坡体的平均深度h,一般情况下,假设滑坡的上表面与滑动面接近平行,此时,将滑坡体的上下表面选取一个最为接近的椭圆,其可以表示为图3。Combined with the surface deformation monitoring results obtained by InSAR, the upper surface area of the landslide can be determined. The lower surface area of the landslide can be determined based on the sliding surface inverted by the elastic dislocation model, and the average depth h of the landslide is obtained. In general, it is assumed that the upper surface of the landslide is nearly parallel to the sliding surface. At this time, the upper and lower surfaces of the landslide are selected to be the closest ellipse, which can be represented as Figure 3.
设滑动面的外接椭圆的长短半轴分别为:a1,b1;滑坡表面的外接椭圆的长短半轴分别为:a2,b2,滑坡体深度为:h。取积分单元dz。距离顶面为z高。通过积分可以计算出滑坡体的体积,具体计算公式如下:Assume that the major and minor axes of the circumscribed ellipse of the sliding surface are a1 and b1 respectively; the major and minor axes of the circumscribed ellipse of the landslide surface are a2 and b2 respectively, and the depth of the landslide body is h. Take the integration unit dz. The height from the top surface is z. The volume of the landslide body can be calculated by integration. The specific calculation formula is as follows:
其中a,b分别用a1,a2,b1,b2,h来表示:Where a and b are represented by a1, a2, b1, b2, and h respectively:
a=a1+z(a2-a1)/h (5)a=a1+z(a2-a1)/h (5)
b=b2+z(b2-b1)/h (6)b=b2+z(b2-b1)/h (6)
将a,b代入公式,可以求出滑坡体体积V:Substituting a and b into the formula, we can find the volume V of the landslide:
实施例1:Embodiment 1:
本发明以瓦堆村潜在滑坡为例进行实验,对潜在滑坡体的体积进行计算,并依据滑动面反演结果分析滑坡滑动类型。The present invention takes the potential landslide in Wadui Village as an example to conduct experiments, calculate the volume of the potential landslide body, and analyze the landslide sliding type according to the sliding surface inversion result.
1、InSAR获取的形变速率图:根据形变速率结果,确定反演的滑动面的几何大小与位置。对于包含不同的形变方向滑坡体时,要选择多个滑动面进行反演。其形变速率图如图4所示,其中图4a为升轨监测结果图,图4b为降轨监测结果,白色框为滑动面的反演区域。1. Deformation rate map obtained by InSAR: According to the deformation rate results, the geometric size and position of the inverted sliding surface are determined. For landslide bodies with different deformation directions, multiple sliding surfaces should be selected for inversion. Its deformation rate map is shown in Figure 4, where Figure 4a is the result of the ascending orbit monitoring, Figure 4b is the result of the descending orbit monitoring, and the white box is the inversion area of the sliding surface.
2、Okada模型的粗糙度和拟合残差曲线:如图5所示,在滑动分布反演过程中,通过权衡模型粗糙度和拟合残差之间的曲线来评定滑动分布结果,实验通过多次模拟反演,选定平滑因子为0.03时,模型的反演结果最优。2. Roughness and fitting residual curve of Okada model: As shown in Figure 5, during the inversion process of sliding distribution, the sliding distribution result is evaluated by weighing the curve between the model roughness and the fitting residual. The experiment simulates inversion multiple times and selects a smoothing factor of 0.03, when the inversion result of the model is optimal.
3、Okada模型的滑动面反演结果如表1所示:3. The sliding surface inversion results of the Okada model are shown in Table 1:
表1弹性位错模型反演结果Table 1 Inversion results of elastic dislocation model
滑坡形变观测结果与滑动分布的对比结果如图6所示。其中,图6中a、b、c分别为升轨的观测值、模拟值、残差值,e、f、g分别为降轨的观测值、模拟值、残差值。The comparison between the landslide deformation observation results and the sliding distribution is shown in Figure 6. In Figure 6, a, b, and c are the observation values, simulation values, and residual values of the ascending orbit, respectively, and e, f, and g are the observation values, simulation values, and residual values of the descending orbit, respectively.
滑动面的最优滑动分布结果如图7所示。The optimal sliding distribution results of the sliding surface are shown in Figure 7.
4、滑坡体积估算4. Estimation of landslide volume
根据形变速率图,圈定滑坡表面的最大外接椭圆,并结合反演的滑动面,确定滑动面的外接椭圆,从而获取滑坡体上下表面的长半轴与短半轴的长度,并结合反演获得的深度值,计算出该区域存在的两个滑坡体的体积分别为:According to the deformation rate diagram, the maximum circumscribed ellipse of the landslide surface is delineated, and the circumscribed ellipse of the sliding surface is determined in combination with the inverted sliding surface, so as to obtain the lengths of the major and minor semi-axes of the upper and lower surfaces of the landslide body, and combined with the depth value obtained by inversion, the volumes of the two landslide bodies in the area are calculated as follows:
(1)滑坡体1(1) Landslide body 1
图8与图9分别为滑坡体1各滑坡单元形变方向图与滑坡体1坡向图。根据图4、图8与图9内容计算得出,a1=0.35km,b1=0.19km,a2=0.6km,b2=0.26km,h=0.069km。根据体积计算公式得出,滑坡体1的体积V=1.69*107m3。结合走向与倾向的形变,可以大致判断出滑坡的形变方向,对于处于坡脚的滑坡体1,结合坡向联合分析,滑坡主要沿着坡向运动,走向与倾向均存在变形。滑坡的运动一般可以分为平移、旋转或复杂运动方式。旋转滑坡一般向下和向外移动,平移滑体运动方向与山坡平行,结构上滑动面较为平整。根据反演滑动面的结果,滑坡体1为沿坡向的平移式滑坡。Figures 8 and 9 are the deformation direction diagrams of each landslide unit of landslide body 1 and the slope diagram of landslide body 1, respectively. According to the contents of Figures 4, 8 and 9, it is calculated that a1 = 0.35km, b1 = 0.19km, a2 = 0.6km, b2 = 0.26km, and h = 0.069km. According to the volume calculation formula, the volume of landslide body 1 is V = 1.69*10 7 m 3. Combining the deformation of the strike and dip, the deformation direction of the landslide can be roughly determined. For landslide body 1 at the foot of the slope, combined with the slope joint analysis, the landslide mainly moves along the slope, and there is deformation in both the strike and dip. The movement of landslides can generally be divided into translation, rotation or complex movement. Rotational landslides generally move downward and outward, while the movement direction of translational sliding bodies is parallel to the hillside, and the sliding surface is relatively flat in structure. According to the results of the inversion sliding surface, landslide body 1 is a translational landslide along the slope.
(2)滑坡体2(2) Landslide body 2
图10与图11分别为滑坡体2各滑坡单元形变方向图与滑坡体2坡向图。根据图4、图10与图11内容计算得出,a1=0.40km,b1=0.24km,a2=0.5km,b2=0.31km,h=0.06km,带入体积计算公式可以得出,滑坡体2的体积V=2.03*106m3.根据反演的结果,滑坡体2为平移式滑坡。Figures 10 and 11 are the deformation direction diagrams of each landslide unit of landslide body 2 and the slope diagram of landslide body 2, respectively. According to the contents of Figures 4, 10 and 11, it is calculated that a1 = 0.40 km, b1 = 0.24 km, a2 = 0.5 km, b2 = 0.31 km, h = 0.06 km, and it can be obtained by substituting it into the volume calculation formula that the volume of landslide body 2 is V = 2.03*10 6 m 3 . According to the inversion results, landslide body 2 is a translational landslide.
以上所述实施例仅为本发明较佳的具体实施方式,本发明的保护范围不限于此,任何熟悉本领域的技术人员在本发明披露的技术范围内,可显而易见地得到的技术方案的简单变化或等效替换,均属于本发明的保护范围。The embodiments described above are only preferred specific implementation modes of the present invention, and the protection scope of the present invention is not limited thereto. Any simple changes or equivalent replacements of the technical solutions that can be obviously obtained by any technician familiar with the field within the technical scope disclosed in the present invention belong to the protection scope of the present invention.
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土石混合滑坡体微动探测:以衡阳拜殿乡滑坡体为例;杜亚楠;徐佩芬;凌群;;地球物理学报;20180415(第04期);全文 * |
基于InSAR技术的大锡特金火山形变监测;李飞等;基于InSAR技术的大锡特金火山形变监测;20220628;全文 * |
基于深度学习的滑坡监测与早期预警方法研究;顾华奇;陈皆红;李婷;;江西科学;20190415(第02期);全文 * |
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