CN114993203B - Tunnel deformation monitoring method based on primary support unequal thickness - Google Patents
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Abstract
本发明公开了一种基于初支不等厚的隧道变形监测方法,涉及隧道变形监测技术领域。通过非接触量测的三维激光扫描技术对隧道的围岩以及初支的表面数据进行扫描获取后,能够建立得到包含初支厚度数据的隧道初支模型,根据初支厚度的不同,对隧道进行异常点标记,从而能够在后期的隧道监测时,针对性地监测,有效节省了后期监测的工作量,从而加快了监测的数据获取速度。同时根据监测数据与隧道初支模型方便研究初支厚度与隧道变形之间的关系。通过考虑围岩超欠挖现象导致的初期支护厚度不均匀,不仅符合实际的工程情况,并且能够有效地监控到因超挖引起的局部应力集中和因欠挖导致初支厚度不够而产生的安全隐患。
The invention discloses a tunnel deformation monitoring method based on unequal thickness of primary branches, and relates to the technical field of tunnel deformation monitoring. After scanning and acquiring the surface data of the surrounding rock of the tunnel and the primary branch through non-contact measurement three-dimensional laser scanning technology, a tunnel primary branch model containing the primary branch thickness data can be established. According to the different thickness of the primary branch, the tunnel can be Marking abnormal points enables targeted monitoring during later tunnel monitoring, effectively saving the workload of later monitoring and thus speeding up the acquisition of monitoring data. At the same time, the relationship between the thickness of the primary support and tunnel deformation can be easily studied based on the monitoring data and the tunnel primary support model. By considering the uneven initial support thickness caused by over-excavation and under-excavation of the surrounding rock, it not only conforms to the actual engineering situation, but also can effectively monitor the local stress concentration caused by over-excavation and the insufficient initial support thickness caused by under-excavation. Security risks.
Description
技术领域Technical field
本发明涉及隧道变形监测技术领域,具体涉及一种基于初支不等厚的隧道变形监测方法。The invention relates to the technical field of tunnel deformation monitoring, and specifically relates to a tunnel deformation monitoring method based on unequal thickness of primary branches.
背景技术Background technique
隧道超欠挖直接影响隧道的围岩稳定性和施工成本,但是对超欠挖的控制,始终是现场技术人员进行控制的重难点之一。在开挖过程中,由于爆破所产生的超欠挖现象是难以避免的,超挖过多,会产生应力集中问题,影响围岩稳定性;而欠挖则会导致初期支护厚度不够,对工程质量和安全产生隐患。然而在隧道变形监测时,常常将初期支护按等厚度来考虑,这显然与实际工程情况不符。因此,将初支考虑成因超欠挖影响而导致的不等厚来进行变形监测具有非常实际而重要的工程意义。Over- and under-excavation of tunnels directly affects the stability of surrounding rock and construction costs of tunnels. However, controlling over- and under-excavation of tunnels has always been one of the most difficult points for on-site technicians to control. During the excavation process, the phenomenon of over-excavation and under-excavation caused by blasting is unavoidable. Too much over-excavation will cause stress concentration problems and affect the stability of the surrounding rock; while under-excavation will result in insufficient initial support thickness, which will affect the stability of the surrounding rock. Hidden risks arise in project quality and safety. However, when monitoring tunnel deformation, the initial support is often considered as equal thickness, which is obviously inconsistent with the actual engineering situation. Therefore, it is of very practical and important engineering significance to monitor the deformation by considering the unequal thickness of the primary support due to the influence of over- and under-excavation.
传统的隧道超欠挖检测及变形监测主要以人工测量的方式为主,采用全站仪、断面仪和测量机器人等设备,以逐点、逐断面的方式对隧道进行全断面测量,该类方法检测效率低、耗时长,需要耗费大量人力、物力。此外,传统检测方法的测量精度易受到隧道环境因素的影响,不能反映隧道的整体形态变化等情况,无法满足在隧道开挖过程中大量检测的实际需求。Traditional tunnel over-under excavation detection and deformation monitoring are mainly based on manual measurement, using equipment such as total stations, section meters and measuring robots to conduct full-section measurements of the tunnel point by point and section by section. This type of method The detection efficiency is low, time-consuming, and requires a lot of manpower and material resources. In addition, the measurement accuracy of traditional detection methods is easily affected by tunnel environmental factors, cannot reflect changes in the overall shape of the tunnel, and cannot meet the actual needs for large-scale detection during tunnel excavation.
发明内容Contents of the invention
针对现有技术的上述不足,本发明提供了一种非接触量测、数据精度高、数据获取速度快的基于初支不等厚的隧道变形监测方法。In view of the above-mentioned shortcomings of the existing technology, the present invention provides a tunnel deformation monitoring method based on unequal thickness of primary branches with non-contact measurement, high data accuracy and fast data acquisition speed.
为达到上述发明目的,本发明所采用的技术方案为:In order to achieve the above-mentioned object of the invention, the technical solutions adopted by the present invention are:
提供一种基于初支不等厚的隧道变形监测方法,包括如下步骤:A tunnel deformation monitoring method based on unequal thickness of primary branches is provided, including the following steps:
S1:使用激光扫描仪对待检测隧道围岩进行扫描,得到围岩点云数据;S1: Use a laser scanner to scan the surrounding rock of the tunnel to be detected and obtain the surrounding rock point cloud data;
S2:对围岩点云数据进行坐标轴统一转换,得到待检测隧道的轴线方向;S2: Unify the coordinate axis conversion of the surrounding rock point cloud data to obtain the axis direction of the tunnel to be detected;
S3:根据待检测隧道的轴线方向计算得到隧道实际半径,利用隧道实际半径与隧道理论半径计算得到待检测隧道的超欠挖量;S3: Calculate the actual radius of the tunnel according to the axis direction of the tunnel to be detected, and calculate the over- and under-excavation amount of the tunnel to be detected using the actual radius of the tunnel and the theoretical radius of the tunnel;
S4:待检测隧道初支施工完成后再次使用激光扫描仪扫描,得到隧道初支表面点云数据;S4: After the construction of the primary branch of the tunnel to be inspected is completed, the laser scanner is used to scan again to obtain the surface point cloud data of the primary branch of the tunnel;
S5:根据隧道初支表面点云数据和围岩点云数据建立隧道初支模型,并通过超欠挖量对隧道初支模型的厚度异常点进行标记;S5: Establish the tunnel primary support model based on the tunnel primary support surface point cloud data and surrounding rock point cloud data, and mark the thickness abnormal points of the tunnel primary support model through over and under excavation amounts;
S6:待隧道完工后,对厚度异常点对应位置使用激光扫描仪进行若干期扫描检测,比较每期的监测数据得到待检测隧道表面变形情况。S6: After the tunnel is completed, use a laser scanner to scan and detect the corresponding positions of the thickness abnormal points for several periods, and compare the monitoring data of each period to obtain the surface deformation of the tunnel to be detected.
通过非接触量测的三维激光扫描技术对隧道的围岩以及初支的表面数据进行扫描获取后,能够建立得到包含初支厚度数据的隧道初支模型,根据初支厚度的不同,对隧道进行异常点标记,从而能够在后期的隧道监测时,针对性地监测,有效节省了后期监测的工作量,从而加快了监测的数据获取速度。同时根据监测数据与隧道初支模型方便研究初支厚度与隧道变形之间的关系。After scanning and acquiring the surface data of the surrounding rock of the tunnel and the primary branch through non-contact measurement three-dimensional laser scanning technology, a tunnel primary branch model containing the primary branch thickness data can be established. According to the different thickness of the primary branch, the tunnel can be Marking abnormal points enables targeted monitoring during later tunnel monitoring, effectively saving the workload of later monitoring and thus speeding up the acquisition of monitoring data. At the same time, the relationship between the thickness of the primary support and tunnel deformation can be easily studied based on the monitoring data and the tunnel primary support model.
进一步的,步骤S2中对围岩点云数据进行坐标轴转换前需要进行预处理,围岩点云数据预处理包括点云去噪、点云抽稀或点云简化中的一种或多种。对点云数据进行预处理能够去除因为现场工作环境太差产生的数据噪点;以及能够在不影响被测主体点云完整整特征的前提下剔除点云数据中的冗杂点。Further, in step S2, preprocessing is required before coordinate axis conversion of the surrounding rock point cloud data. Preprocessing of the surrounding rock point cloud data includes one or more of point cloud denoising, point cloud thinning, or point cloud simplification. . Preprocessing point cloud data can remove data noise caused by poor on-site working environment; and can eliminate redundant points in point cloud data without affecting the complete characteristics of the measured subject's point cloud.
进一步的,步骤S2中将围岩点云数据的坐标轴统一转换大地坐标轴,具体方法包括如下:Further, in step S2, the coordinate axes of the surrounding rock point cloud data are uniformly converted to the geodetic coordinate axis. The specific methods include the following:
A1:步骤S1中激光扫描仪对待检测隧道扫描前,使用全站仪对激光扫描仪进行定位,记全站仪原点为大地坐标系下的位置坐标为(x0,y0,z0),并计算得到激光扫描仪的x轴方向向量(x1,y1,z1)和y轴方向向量(x2,y2,z2);A1: Before the laser scanner scans the tunnel to be detected in step S1, use the total station to position the laser scanner. Record the origin of the total station as the position coordinate in the geodetic coordinate system as (x 0 , y0 , z 0 ), and Calculate the x-axis direction vector (x 1 , y 1 , z 1 ) and y-axis direction vector (x 2 , y 2 , z 2 ) of the laser scanner;
A2:将围岩点云数据的扫描坐标系转换为大地坐标系:围岩点云数据为激光扫描仪对待检测隧道分段扫描采集,记各段围岩点云数据的扫描坐标系的坐标为(xi',yi',zi'),记各段围岩点云数据的扫描坐标系对应的大地坐标系的坐标为(xi,yi,zi),转换方法为:A2: Convert the scanning coordinate system of the surrounding rock point cloud data into the geodetic coordinate system: The surrounding rock point cloud data is collected by segmental scanning of the tunnel to be detected by the laser scanner. Record the coordinates of the scanning coordinate system of each section of the surrounding rock point cloud data as: (x i ', y i ', z i '), record the coordinates of the geodetic coordinate system corresponding to the scanning coordinate system of the surrounding rock point cloud data of each section as (x i , yi, z i ), and the conversion method is:
其中,θ为扫描坐标系绕z轴旋转的角度,α为扫描坐标系绕x轴旋转的角度,γ为扫描坐标系绕y轴旋转的角度;T1为z轴方向旋转矩阵;T2为x轴方向旋转矩阵;T3为y轴方向旋转矩阵;Among them, θ is the angle of rotation of the scanning coordinate system around the z-axis, α is the angle of rotation of the scanning coordinate system around the x-axis, γ is the angle of rotation of the scanning coordinate system around the y-axis; T 1 is the rotation matrix in the z-axis direction; T 2 is Rotation matrix in x-axis direction; T 3 is rotation matrix in y-axis direction;
A3:使用RANSAC算法将围岩点云数据在隧道截面上的圆心坐标进行拟合,将任一截面上的圆心坐标分别投影到大地坐标系的xoz面和yoz面上,并将所有截面的圆心坐标的投影点按隧道前进方向排序;A3: Use the RANSAC algorithm to fit the center coordinates of the surrounding rock point cloud data on the tunnel section, project the center coordinates of any section onto the xoz plane and yoz plane of the geodetic coordinate system, and calculate the center coordinates of all sections The projection points of the coordinates are sorted according to the forward direction of the tunnel;
A4:分别对大地坐标系的xoz面和yoz面上的投影点使用三次样条插值进行拟合得到两条分别位于大地坐标系的xoz面和yoz面上的曲线;A4: Use cubic spline interpolation to fit the projection points on the xoz plane and yoz plane of the geodetic coordinate system to obtain two curves respectively located on the xoz plane and yoz plane of the geodetic coordinate system;
A5:将两条曲线进行整合,得到待检测隧道的轴线方向。A5: Integrate the two curves to obtain the axis direction of the tunnel to be detected.
进一步的,两条曲线的整合方法为:Further, the integration method of the two curves is:
取xoz面上的曲线上任一的点(xq,zq),取yoz面上的曲线同一z坐标上的点(yq,zq),将点(xq,zq)和点(yq,zq)整合为(xq,yq,zq),即能得到一条新的曲线,该新的曲线即为待检测隧道的轴线方向。Take any point (x q , z q ) on the curve on the xoz surface, take the point (y q , z q ) on the same z coordinate of the curve on the yoz surface, and combine the point (x q , z q ) with the point ( y q , z q ) are integrated into (x q , y q , z q ), that is, a new curve can be obtained, which is the axis direction of the tunnel to be detected.
进一步的,步骤S3中待检测隧道的超欠挖量的计算方法为:Further, the calculation method of the over-under excavation amount of the tunnel to be detected in step S3 is:
其中,(xxoy,yxoy)为待检测隧道截面上围岩点云数据的轮廓坐标,(xr,yr)为同一待检测隧道截面上大地坐标系的圆心坐标,r0为隧道理论半径,d为围岩点云数据距离待检测隧道理论轮廓的值;Among them, (x xoy ,y xoy ) are the outline coordinates of the surrounding rock point cloud data on the tunnel section to be detected, (x r , y r ) are the center coordinates of the geodetic coordinate system on the same tunnel section to be detected, r 0 is the tunnel theory Radius, d is the distance between the surrounding rock point cloud data and the theoretical contour of the tunnel to be detected;
当d>0时,即为待检测隧道在该区域内出现超挖,超挖值为|d|;当d<0时,即为待检测隧道在该区域内出现欠挖,欠挖值为|d|;当d=0时,待检测隧道在该区域内未出现超欠挖。When d>0, it means that the tunnel to be detected is over-excavated in this area, and the over-excavation value is |d|; when d<0, it means that the tunnel to be detected is under-excavated in this area, and the under-excavation value is |d|; When d=0, the tunnel to be detected does not appear to be over- or under-excavated in this area.
进一步的,步骤S5中厚度异常点的标记方法为:Further, the marking method of thickness abnormal points in step S5 is:
初支的实际厚度T为隧道初支表面点云数据减去围岩点云数据,t为初支的设计厚度;The actual thickness T of the primary branch is the surface point cloud data of the tunnel primary branch minus the surrounding rock point cloud data, and t is the design thickness of the primary branch;
当T-t<d<0时,将该处区域标记为厚度超薄异常点;When T-t<d<0, mark the area as an abnormal point with ultra-thin thickness;
当d≤T-t<0时,将该处区域标记为厚度较薄异常点;When d≤T-t<0, mark the area as a thin abnormal point;
当0<T-t≤d时,将该处区域标记为厚度较厚异常点;When 0<T-t≤d, mark the area as a thick abnormal point;
当0<d<T-t时,将该处区域标记为厚度超厚异常点;When 0<d<T-t, the area is marked as an abnormal thickness point;
当T-t=0时,该处区域不会被标记为厚度异常点。When T-t=0, this area will not be marked as a thickness abnormal point.
进一步的,步骤S6中每期对厚度异常点对应位置进行扫描后均建立隧道表面模型,隧道变形情况判断方法包括如下:Further, in step S6, the tunnel surface model is established after scanning the corresponding positions of the thickness abnormal points in each period. The tunnel deformation judgment method includes the following:
S61:将隧道表面模型沿中轴线方向等分成长度为p的m段,0.01<p<0.1m;再将隧道表面模型沿横断面从左侧隧道边墙底部顺时针环向等分为角度为a的n段,0°<a<2°;S61: Divide the tunnel surface model into m segments of length p along the direction of the central axis, 0.01<p<0.1m; then divide the tunnel surface model into equal parts along the cross section clockwise from the bottom of the left tunnel side wall with an angle of n segment of a, 0°<a<2°;
此时,隧道表面模型等分为m×n个单元网格,以单元网格所在的行列号进行编号为Wi,j,(i=1,2,...,m;j=1,2,...,n;);At this time, the tunnel surface model is equally divided into m×n unit grids, which are numbered according to the row and column numbers of the unit grids as W i, j , (i=1, 2,...,m; j=1, 2,...,n;);
S62:以隧道中轴线上的第i个分段的中心Oi(i=1,2...,m)为投影中心,单元网格Wi,j为投影基准面进行投影,单元网格Wi,j在第k期隧道表面点云模型投影范围为Pi,j,k,(i=1,2,...,m;j=1,2,...,n;k=1,2,...,q;);Pi,j,k为平面四边形;S62: Project with the center O i (i=1, 2..., m) of the i-th segment on the central axis of the tunnel as the projection center, and the unit grid W i, j as the projection datum plane. The unit grid The projection range of Wi ,j in the kth tunnel surface point cloud model is Pi ,j,k , (i=1,2,...,m;j=1,2,...,n;k= 1, 2,..., q;); P i, j, k are planar quadrilaterals;
S63:投影中心Oi至平面四边形Pi,j,k的距离为pi,j,k,则隧道表面模型中单元网格Wi,j投影范围对应区域第k+1期相对第k期隧道结构变形量为Δi,j,k+1=pi,j,k+1-pi,j,k;S63: The distance from the projection center O i to the plane quadrilateral P i, j, k is pi, j, k. Then the projection range of the unit grid W i, j in the tunnel surface model corresponds to the area k+1 relative to the k-th tunnel. The structural deformation is Δ i, j, k + 1 = p i, j, k + 1 - p i, j, k ;
若Δi,j,k+1>0,则单元网格Wi,j投影范围内隧道相较上一次扫描检测为向外扩张变形,If Δ i, j, k+1 > 0, then the tunnel within the projection range of unit grid W i, j is detected as outward expansion and deformation compared to the previous scan,
若Δi,j,k+1<0,则单元网格Wi,j投影范围内隧道相较上一次扫描检测为向内收缩变形;If Δ i, j, k+1 <0, then the tunnel within the projection range of the unit grid W i, j is detected to be inwardly shrinking and deformed compared to the previous scan;
若Δi,j,k+1=0,则单元网格Wi,j投影范围内隧道相较上一次扫描检测没有发生变形。If Δ i, j, k+1 = 0, then the tunnel within the projection range of the unit grid Wi , j has not deformed compared to the previous scanning detection.
进一步的,隧道变形情况判断方法还包括S64:将第k+1期相对第k期所有单元网格的隧道结构变形量Δi,j,k+1与色阶建立对应的正比关系,制作得到隧道表面变形灰度模型图。Further, the tunnel deformation judgment method also includes S64: establish a corresponding proportional relationship between the tunnel structure deformation Δ i, j, k + 1 of the k+1 period relative to all unit grids of the k period and the color level, and produce Grayscale model diagram of tunnel surface deformation.
通过将检测到的每期与上一期的隧道结构变形量与色阶建立正比关系得到隧道表面变形灰度模型图,能够实现隧道变形的动态化、可视化,方便监测人员确定隧道的变形形态。By establishing a proportional relationship between the detected deformation of the tunnel structure in each period and the previous period and the color scale, a grayscale model diagram of the tunnel surface deformation can be achieved, which can realize the dynamic and visualization of the tunnel deformation and facilitate monitoring personnel to determine the deformation form of the tunnel.
本发明的有益效果为:The beneficial effects of the present invention are:
1、本发明通过非接触量测的三维激光扫描技术对隧道的围岩以及初支的表面数据进行扫描获取后,能够建立得到包含初支厚度数据的隧道初支模型,根据初支厚度的不同,对隧道进行异常点标记,从而能够在后期的隧道监测时,针对性地监测,有效节省了后期监测的工作量,从而加快了监测的数据获取速度。同时根据监测数据与隧道初支模型方便研究初支厚度与隧道变形之间的关系。1. The present invention uses non-contact measurement three-dimensional laser scanning technology to scan and obtain the surface data of the surrounding rock of the tunnel and the primary branch, and can establish a tunnel primary branch model including the primary branch thickness data. According to the different thickness of the primary branch , mark abnormal points in the tunnel, so that targeted monitoring can be carried out during later tunnel monitoring, which effectively saves the workload of later monitoring and speeds up the acquisition of monitoring data. At the same time, the relationship between the thickness of the primary support and tunnel deformation can be easily studied based on the monitoring data and the tunnel primary support model.
2、通过考虑围岩超欠挖现象导致的初期支护厚度不均匀,不仅符合实际的工程情况,并且能够有效地监控到因超挖引起的局部应力集中和因欠挖导致初支厚度不够而产生的安全隐患。2. By considering the uneven initial support thickness caused by over-excavation and under-excavation of the surrounding rock, it not only conforms to the actual engineering situation, but also can effectively monitor the local stress concentration caused by over-excavation and the insufficient initial support thickness caused by under-excavation. safety hazards arising.
附图说明Description of the drawings
图1为扫描坐标系与大地坐标系的转换示意图;Figure 1 is a schematic diagram of the conversion between the scanning coordinate system and the geodetic coordinate system;
图2为隧道围岩超欠挖截面示意图;Figure 2 is a schematic cross-section of the tunnel surrounding rock that is over- and under-excavated;
图3为围岩表面模型示意图;Figure 3 is a schematic diagram of the surrounding rock surface model;
图4为隧道初支截面示意图。Figure 4 is a schematic cross-section of the tunnel's primary branch.
具体实施方式Detailed ways
下面对本发明的具体实施方式进行描述,以便于本技术领域的技术人员理解本发明,但应该清楚,本发明不限于具体实施方式的范围,对本技术领域的普通技术人员来讲,只要各种变化在所附的权利要求限定和确定的本发明的精神和范围内,这些变化是显而易见的,一切利用本发明构思的发明创造均在保护之列。The specific embodiments of the present invention are described below to facilitate those skilled in the art to understand the present invention. However, it should be clear that the present invention is not limited to the scope of the specific embodiments. For those of ordinary skill in the technical field, as long as various changes These changes are obvious within the spirit and scope of the invention as defined and determined by the appended claims, and all inventions and creations utilizing the concept of the invention are protected.
提供一种基于初支不等厚的隧道变形监测方法,包括如下步骤:A tunnel deformation monitoring method based on unequal thickness of primary branches is provided, including the following steps:
S1:使用激光扫描仪对待检测隧道围岩进行扫描,得到围岩点云数据;S1: Use a laser scanner to scan the surrounding rock of the tunnel to be detected and obtain the surrounding rock point cloud data;
对围岩点云数据进行坐标轴转换前需要进行预处理,围岩点云数据预处理包括点云去噪、点云抽稀或点云简化中的一种或多种。对点云数据进行预处理能够去除因为现场工作环境太差产生的数据噪点;以及能够在不影响被测主体点云完整特征的前提下剔除点云数据中的冗杂点。将预处理后的围岩点云数据建立围岩表面轮廓模型如图3所示。Preprocessing is required before coordinate axis conversion of surrounding rock point cloud data. Preprocessing of surrounding rock point cloud data includes one or more of point cloud denoising, point cloud thinning, or point cloud simplification. Preprocessing point cloud data can remove data noise caused by poor on-site working conditions; and it can eliminate redundant points in point cloud data without affecting the complete characteristics of the point cloud of the subject being measured. The preprocessed surrounding rock point cloud data is used to establish a surrounding rock surface contour model, as shown in Figure 3.
S2:对围岩点云数据进行坐标轴统一转换,得到待检测隧道的轴线方向;S2: Unify the coordinate axis conversion of the surrounding rock point cloud data to obtain the axis direction of the tunnel to be detected;
将围岩点云数据的坐标轴统一转换大地坐标轴,具体方法包括如下:Unify the coordinate axes of the surrounding rock point cloud data into the geodetic coordinate axis. The specific methods include the following:
A1:步骤S1中激光扫描仪对待检测隧道扫描前,使用全站仪对激光扫描仪进行定位,记全站仪原点为大地坐标系下的位置坐标为(x0,y0,z0),并计算得到激光扫描仪的x轴方向向量(x1,y1,z1)和y轴方向向量(x2,y2,z2);A1: Before the laser scanner scans the tunnel to be detected in step S1, use the total station to position the laser scanner. Record the origin of the total station as the position coordinate in the geodetic coordinate system as (x0, y0, z 0 ), and calculate Obtain the x-axis direction vector (x 1 , y 1 , z 1 ) and y-axis direction vector (x 2 , y 2 , z 2 ) of the laser scanner;
A2:将围岩点云数据的扫描坐标系转换为大地坐标系:围岩点云数据为激光扫描仪对待检测隧道分段扫描采集,如图1所示,记各段围岩点云数据的扫描坐标系的坐标为(xi',yi',zi'),记各段围岩点云数据的扫描坐标系对应的大地坐标系的坐标为(xi,yi,zi),转换方法为:A2: Convert the scanning coordinate system of the surrounding rock point cloud data into the geodetic coordinate system: The surrounding rock point cloud data is collected by scanning and collecting the tunnel to be detected in sections using a laser scanner, as shown in Figure 1. Record the surrounding rock point cloud data of each section. The coordinates of the scanning coordinate system are (x i ', y i ', z i '), and the coordinates of the geodetic coordinate system corresponding to the scanning coordinate system of the surrounding rock point cloud data of each section are (x i , y i , z i ) , the conversion method is:
其中,θ为扫描坐标系绕z轴旋转的角度,α为扫描坐标系绕x轴旋转的角度,γ为扫描坐标系绕y轴旋转的角度;T1为z轴方向旋转矩阵;T2为x轴方向旋转矩阵;T3为y轴方向旋转矩阵;Among them, θ is the angle of rotation of the scanning coordinate system around the z-axis, α is the angle of rotation of the scanning coordinate system around the x-axis, γ is the angle of rotation of the scanning coordinate system around the y-axis; T 1 is the rotation matrix in the z-axis direction; T 2 is Rotation matrix in x-axis direction; T 3 is rotation matrix in y-axis direction;
A3:使用RANSAC算法将围岩点云数据在隧道截面上的圆心坐标进行拟合,将任一截面上的圆心坐标分别投影到大地坐标系的xoz面和yoz面上,并将所有截面的圆心坐标的投影点按隧道前进方向排序;A3: Use the RANSAC algorithm to fit the center coordinates of the surrounding rock point cloud data on the tunnel section, project the center coordinates of any section onto the xoz plane and yoz plane of the geodetic coordinate system, and calculate the center coordinates of all sections The projection points of the coordinates are sorted according to the forward direction of the tunnel;
A4:分别对大地坐标系的xoz面和yoz面上的投影点使用三次样条插值进行拟合得到两条分别位于大地坐标系的xoz面和yoz面上的曲线;A4: Use cubic spline interpolation to fit the projection points on the xoz plane and yoz plane of the geodetic coordinate system to obtain two curves respectively located on the xoz plane and yoz plane of the geodetic coordinate system;
A5:将两条曲线进行整合,得到待检测隧道的轴线方向。A5: Integrate the two curves to obtain the axis direction of the tunnel to be detected.
两条曲线的整合方法为:The integration method of the two curves is:
取xoz面上的曲线上任一的点(xq,zq),取yoz面上的曲线同一z坐标上的点(yq,zq),将点(xq,zq)和点(yq,zq)整合为(xq,yq,zq),即能得到一条新的曲线,该新的曲线即为待检测隧道的轴线方向。Take any point (x q , z q ) on the curve on the xoz surface, take the point (y q , z q ) on the same z coordinate of the curve on the yoz surface, and combine the point (x q , z q ) with the point ( y q , z q ) are integrated into (x q , y q , z q ), that is, a new curve can be obtained, which is the axis direction of the tunnel to be detected.
S3:根据待检测隧道的轴线方向计算得到隧道实际半径,利用隧道实际半径与隧道理论半径计算得到待检测隧道的超欠挖量;S3: Calculate the actual radius of the tunnel according to the axis direction of the tunnel to be detected, and calculate the over- and under-excavation amount of the tunnel to be detected using the actual radius of the tunnel and the theoretical radius of the tunnel;
待检测隧道的超欠挖量的计算方法为:The calculation method for the over and under excavation of the tunnel to be detected is:
其中,(xxoy,yxoy)为待检测隧道截面上围岩点云数据的轮廓坐标,(xr,yr)为同一待检测隧道截面上大地坐标系的圆心坐标,r0为隧道理论半径,d为围岩点云数据距离待检测隧道理论轮廓的值;Among them, (x xoy ,y xoy ) are the outline coordinates of the surrounding rock point cloud data on the tunnel section to be detected, (x r , y r ) are the center coordinates of the geodetic coordinate system on the same tunnel section to be detected, r 0 is the tunnel theory Radius, d is the distance between the surrounding rock point cloud data and the theoretical contour of the tunnel to be detected;
如图2所示,当d>0时,即为待检测隧道在该区域内出现超挖,超挖值为d|;当d<0时,即为待检测隧道在该区域内出现欠挖,欠挖值为|d|;当d=0时,待检测隧道在该区域内未出现超欠挖。As shown in Figure 2, when d>0, it means that the tunnel to be detected is over-excavated in this area, and the over-excavation value is d|; when d<0, it means that the tunnel to be detected is under-excavated in this area. , the under-excavation value is |d|; when d=0, the tunnel to be detected does not have over-under-excavation in this area.
S4:待检测隧道初支施工完成后再次使用激光扫描仪扫描得到隧道初支表面点云数据;隧道施作初支时,因为围岩超欠挖会导致初支厚度不等,初支厚度截面示意图如图4所示。S4: After the construction of the primary support of the tunnel to be inspected is completed, the laser scanner is used to scan again to obtain the surface point cloud data of the primary support of the tunnel; when the tunnel is constructed with the primary support, the thickness of the primary support will be different due to over-excavation of the surrounding rock and the lack of excavation of the surrounding rock. The schematic diagram of the thickness section of the primary support is as follows As shown in Figure 4.
S5:根据隧道初支表面点云数据和围岩点云数据建立隧道初支模型,并通过超欠挖量对隧道初支模型的厚度异常点进行标记;厚度异常点的标记方法为:S5: Establish the tunnel primary support model based on the tunnel primary support surface point cloud data and surrounding rock point cloud data, and mark the thickness abnormal points of the tunnel primary support model through the over-under excavation amount; the marking method of thickness abnormal points is:
初支的实际厚度T为隧道初支表面点云数据减去围岩点云数据,t为初支的设计厚度;The actual thickness T of the primary branch is the surface point cloud data of the tunnel primary branch minus the surrounding rock point cloud data, and t is the design thickness of the primary branch;
当T-t<d<0时,将该处区域标记为厚度超薄异常点;When T-t<d<0, mark the area as an abnormal point with ultra-thin thickness;
当d≤T-t<0时,将该处区域标记为厚度较薄异常点;When d≤T-t<0, mark the area as a thin abnormal point;
当0<T-t≤d时,将该处区域标记为厚度较厚异常点;When 0<T-t≤d, mark the area as a thick abnormal point;
当0<d<T-t时,将该处区域标记为厚度超厚异常点;When 0<d<T-t, the area is marked as an abnormal thickness point;
当T-t=0时,该处区域不会被标记为厚度异常点。When T-t=0, this area will not be marked as a thickness abnormal point.
S6:待隧道完工后,对厚度异常点对应位置使用激光扫描仪进行多期扫描检测,比较每期的监测数据得到待检测隧道变形情况。S6: After the tunnel is completed, use a laser scanner to conduct multi-stage scanning inspections at the corresponding positions of the thickness abnormal points, and compare the monitoring data of each period to obtain the deformation of the tunnel to be detected.
每期对厚度异常点对应位置进行扫描后均建立隧道表面模型,隧道变形情况判断方法包括如下:After scanning the corresponding positions of thickness abnormal points in each period, a tunnel surface model is established. The methods for judging tunnel deformation include the following:
S61:将隧道表面模型沿中轴线方向等分成长度为p的m段,0.01<p<0.1m;再将隧道表面模型沿横断面从左侧隧道边墙底部顺时针环向等分为角度为a的n段,0°<a<2°;S61: Divide the tunnel surface model into m segments of length p along the direction of the central axis, 0.01<p<0.1m; then divide the tunnel surface model into equal parts along the cross section clockwise from the bottom of the left tunnel side wall with an angle of n segment of a, 0°<a<2°;
此时,隧道表面模型等分为m×n个单元网格,以单元网格所在的行列号进行编号为Wi,j,(i=1,2,...,m;j=1,2,...,n;);At this time, the tunnel surface model is equally divided into m×n unit grids, which are numbered according to the row and column numbers of the unit grids as W i, j , (i=1, 2,...,m; j=1, 2,...,n;);
具体实施时,对整个隧道整体进行扫描建立隧道表面模型,在非厚度异常点处的隧道表面进行隧道变形情况判断时,将隧道表面模型非厚度异常点位置沿中轴线方向等分成长度为p’的m’段,且p’大于p,m’小于m。During the specific implementation, the entire tunnel is scanned to establish a tunnel surface model. When judging the tunnel deformation condition on the tunnel surface at non-thickness abnormal points, the non-thickness abnormal point positions of the tunnel surface model are equally divided into lengths p' along the direction of the central axis. m' segment, and p' is greater than p, m' is less than m.
S62:以隧道中轴线上的第i个分段的中心Oi(i=1,2...,m)为投影中心单元网格Wi,j为投影基准面进行投影,单元网格Wi,j在第k期隧道表面点云模型投影范围为Pi,j,k,(i=1,2,...,m;j=1,2,...,n;k=1,2,...,q;);Pi,j,k为平面四边形;S62: Use the center O i (i=1, 2..., m) of the i-th segment on the central axis of the tunnel as the projection center unit grid W i, j as the projection datum plane for projection, and the unit grid W The projection range of the tunnel surface point cloud model of i, j in the kth period is P i, j, k , (i=1, 2,..., m; j=1, 2,..., n; k=1 ,2,...,q;);P i,j,k are planar quadrilaterals;
S63:投影中心Oi至平面四边形Pi,j,k的距离为pi,j,k,则隧道表面模型中单元网格Wi,j投影范围对应区域第k+1期相对第k期隧道结构变形量为Δi,j,k+1=pi,j,k+1-pi,j,k;S63: The distance from the projection center O i to the plane quadrilateral P i, j, k is p i, j, k . Then the projection range of the unit grid W i, j in the tunnel surface model corresponds to the k+1th period relative to the kth period. The deformation amount of the tunnel structure is Δ i, j, k + 1 = p i, j, k + 1 - p i, j, k ;
若Δi,j,k+1>0,则单元网格Wi,j投影范围内隧道相较上一次扫描检测为向外扩张变形,If Δ i, j, k+1 > 0, then the tunnel within the projection range of unit grid W i, j is detected as outward expansion and deformation compared to the previous scan,
若Δi,j,k+1<0,则单元网格Wi,j投影范围内隧道相较上一次扫描检测为向内收缩变形;If Δ i, j, k+1 <0, then the tunnel within the projection range of the unit grid W i, j is detected to be inwardly shrinking and deformed compared to the previous scan;
若Δi,j,k+1=0,则单元网格Wi,j投影范围内隧道相较上一次扫描检测没有发生变形。If Δ i, j, k+1 = 0, then the tunnel within the projection range of the unit grid Wi , j has not deformed compared to the previous scanning detection.
S64:将第k+1期相对第k期所有单元网格的隧道结构变形量Δi,j,k+1与色阶建立对应的正比关系,制作得到隧道表面变形灰度模型图。通过将检测到的每期与上一期的隧道结构变形量与色阶建立正比关系得到隧道表面变形灰度模型图,能够实现隧道变形的动态化、可视化,方便监测人员确定隧道的变形形态。S64: Establish a corresponding proportional relationship between the tunnel structure deformation Δi, j, k+1 of all unit grids in the k+1 period relative to the k-th period and the color scale, and create a grayscale model diagram of the tunnel surface deformation. By establishing a proportional relationship between the detected deformation of the tunnel structure in each period and the previous period and the color scale, a grayscale model diagram of the tunnel surface deformation can be achieved, which can realize the dynamic and visualization of the tunnel deformation and facilitate monitoring personnel to determine the deformation form of the tunnel.
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