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CN112964191B - A Micro-deformation Laser Collimation Measurement Method - Google Patents

A Micro-deformation Laser Collimation Measurement Method Download PDF

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CN112964191B
CN112964191B CN202110321854.XA CN202110321854A CN112964191B CN 112964191 B CN112964191 B CN 112964191B CN 202110321854 A CN202110321854 A CN 202110321854A CN 112964191 B CN112964191 B CN 112964191B
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CN112964191A (en
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陈静
万世平
陈耀洲
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Sichuan Chuanjian Survey And Design Institute Co ltd
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Sichuan Hezhong Precision Technology Co ltd
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01BMEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
    • G01B11/00Measuring arrangements characterised by the use of optical techniques
    • G01B11/16Measuring arrangements characterised by the use of optical techniques for measuring the deformation in a solid, e.g. optical strain gauge
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01BMEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
    • G01B11/00Measuring arrangements characterised by the use of optical techniques
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Abstract

The invention relates to a micro-deformation laser alignment measuring method, which measures corresponding data by using a laser emitting device and a laser receiving target position, measures the displacement coordinates of adjacent monitoring points by taking the initial coordinate of any monitoring point as a monitoring base point, and measures the displacement coordinate of the next monitoring point based on the obtained displacement coordinate of the monitoring point, thereby obtaining the displacement of each monitoring point.

Description

一种微变形激光准直测量方法A Micro-deformation Laser Alignment Measurement Method

技术领域technical field

本发明涉及监测点微变形测量领域,具体涉及一种微变形激光准直测量方法。The invention relates to the field of micro-deformation measurement at monitoring points, in particular to a micro-deformation laser alignment measurement method.

背景技术Background technique

基坑监测是基坑工程施工中的一个重要环节,是指在基坑开挖及地下工程施工过程中,对基坑岩土性状、支护结构变位和周围环境条件的变化,进行各种观察及分析工作,并将监测结果及时反馈,预测进一步施工后将导致的变形及稳定状态的发展,根据预测判定施工对周围环境造成影响的程度,来指导设计与施工,实现所谓信息化施工。目前的基坑测量一般是采用全站仪进行测量,相关的国家技术标准也允许采用激光准直测量用于基坑变形监测。传统、标准的激光准直测量方法的使用场景为,几个监测点近似位于一条直线上,且两端的点为基准点,在一个基准点上安置激光发射设备,如激光经纬仪,用另一端的基准点定向,固定水平方向,依次上下瞄准各监测点上的接收靶,测量激光光斑在标靶上的坐标,根据各次光斑在标靶上的坐标变化量,计算出监测点的相对位移量和总位移量。为此本公司提出了使用激光自动测量的方式为主、配合全站仪测量监测点初始值,采用此方法将提高测量精度并降低人员成本,其具体方案可参考本公司申请的专利,公开号CN111457848A,一种通过相邻监测点间坐标变化而测定位移量的方法及系统,该专利中仅考虑了基坑为标准情况下的测量,然而在实际施工过程中,基坑会出现一些异形,那么采用上述方案就无法实现基坑的准确测量。Foundation pit monitoring is an important link in the construction of foundation pit engineering. Observe and analyze the work, and feedback the monitoring results in time, predict the deformation and stable state development that will be caused by further construction, and judge the degree of impact of construction on the surrounding environment according to the prediction, to guide design and construction, and realize the so-called information construction. The current foundation pit measurement is generally carried out by using a total station, and the relevant national technical standards also allow the use of laser alignment measurement for foundation pit deformation monitoring. The usage scenario of the traditional and standard laser alignment measurement method is that several monitoring points are approximately located on a straight line, and the points at both ends are reference points. A laser emitting device, such as a laser theodolite, is placed on a reference point, and the other end is used to Orient the reference point, fix the horizontal direction, aim up and down at the receiving target on each monitoring point in turn, measure the coordinates of the laser spot on the target, and calculate the relative displacement of the monitoring point according to the coordinate change of each spot on the target and total displacement. For this reason, our company proposes the method of using laser automatic measurement as the main method, and cooperates with the total station to measure the initial value of the monitoring point. Using this method will improve the measurement accuracy and reduce the cost of personnel. For the specific plan, please refer to the patent applied by our company, Publication No. CN111457848A, a method and system for measuring displacement through coordinate changes between adjacent monitoring points. In this patent, only the foundation pit is considered as the standard measurement. However, in the actual construction process, some abnormal shapes will appear in the foundation pit. Then the accurate measurement of the foundation pit cannot be realized by adopting the above-mentioned scheme.

发明内容Contents of the invention

本发明的目的在于克服现有技术的不足,提供一种微变形激光准直测量方法,主要针对基坑的异形微变形测量,从而解决现有技术的不足。The purpose of the present invention is to overcome the deficiencies of the prior art, and provide a micro-deformation laser alignment measurement method, which is mainly aimed at the measurement of special-shaped micro-deformation of foundation pits, thereby solving the deficiencies of the prior art.

本发明的目的是通过以下技术方案来实现的:The purpose of the present invention is achieved through the following technical solutions:

一种微变形激光准直测量方法,该方法步骤如下:A micro-deformation laser alignment measurement method, the method steps are as follows:

步骤1):初始状态下各监测点依次为A1、A2、A3、......An,并用高精度全站仪用全站仪测得初始状态下各监测点的初始坐标表示为Ai=(xi,yi),i=1~n;Step 1): In the initial state, each monitoring point is A 1 , A 2 , A 3 , ... A n in turn, and the initial state of each monitoring point in the initial state is measured with a high-precision total station The coordinates are expressed as A i =(x i ,y i ), i=1~n;

步骤2):用步骤1)测得的各监测点坐标依次计算监测点间距离为D1、D2、D3、......Dn-1与坐标方位角分别为α1、α2、α3、......αn-1Step 2): Use the coordinates of each monitoring point measured in step 1) to calculate the distances between monitoring points as D 1 , D 2 , D 3 , ... D n-1 and the coordinate azimuths as α 1 , α 2 , α 3 , . . . α n-1 ;

步骤3):定义位移后的各监测点A1'、A2'、A3'、......An',测得位移后的各相邻监测点之间的直线间距依次为D1'、D2'、D3'、......Dn-1';Step 3): Define each monitoring point A 1 ', A 2 ', A 3 ', ... A n ' after the displacement, and the linear distance between the adjacent monitoring points after the displacement is measured as D 1 ', D 2 ', D 3 ', ... D n-1 ';

步骤4):定期测量各监测点相较于上次监测点的光斑坐标位移量,依次记为d1、d2、d3、......dn,则有各监测点位移后坐标方位角变化量分别为Δα1、Δα2、Δα3、......Δαn-1,其中,

Figure BDA0002993181330000021
其中为常量
Figure BDA0002993181330000022
Step 4): Regularly measure the spot coordinate displacement of each monitoring point compared with the last monitoring point, which are recorded as d 1 , d 2 , d 3 , ... d n in turn, and after the displacement of each monitoring point The variation of coordinate azimuth angles are Δα 1 , Δα 2 , Δα 3 , ... Δα n-1 , where,
Figure BDA0002993181330000021
where constant
Figure BDA0002993181330000022

步骤5):计算D1'、D2'、D3'、......Dn-1'与X轴的夹角Δα1'、Δα2'、Δα3'、......Δαn-1',则有:Step 5): Calculate the angles Δα 1 ', Δα 2 ' , Δα 3 ' , ... ..Δα n-1 ', then:

α'n-1=αn-1+Δαn-1α' n-1 = α n-1 + Δα n-1 ;

步骤6):以任一监测点的初始坐标为监测基点,测量其相邻监测点的位移坐标,同时基于已求出的监测点的位移坐标,测量下一个监测点的位移坐标,则有:Step 6): Take the initial coordinates of any monitoring point as the monitoring base point, measure the displacement coordinates of its adjacent monitoring points, and measure the displacement coordinates of the next monitoring point based on the calculated displacement coordinates of the monitoring point, then:

监测点An=(xn,yn)为监测基点,则An+1'的坐标为:Monitoring point A n = (x n , y n ) is the monitoring base point, then the coordinates of A n+1 ' are:

Figure BDA0002993181330000023
Figure BDA0002993181330000023

则有,An+2'的坐标为:Then, the coordinates of A n+2 ' are:

Figure BDA0002993181330000024
Figure BDA0002993181330000024

步骤7):根据各监测点位移后的坐标与对应的初始坐标比较即得到各监测坐标的位移量。Step 7): By comparing the displaced coordinates of each monitoring point with the corresponding initial coordinates, the displacement of each monitoring coordinate is obtained.

进一步的,所述的各监测点设置有激光发射装置和激光接收靶位用于测量各监测点之间初始间距D1、D2、D3、......Dn-1,以及位移后的间距D1'、D2'、D3'、......Dn-1',以及位移量d1、d2、d3、......dnFurther, each of the monitoring points is provided with a laser emitting device and a laser receiving target for measuring the initial distance D 1 , D 2 , D 3 , ... D n-1 between each monitoring point, and The displaced distances D 1 ′, D 2 ′, D 3 ′, ... D n-1 ', and the displacements d 1 , d 2 , d 3 , ... d n .

进一步的,所述激光接收靶位垂直于监测点所在平面,定义激光接收靶位的水平方向为x轴,垂直方向为y轴,则测得的x轴坐标即为该监测点的位移量d1、d2、d3、......dn,y轴坐标即为该监测点的沉降量。Further, the laser receiving target position is perpendicular to the plane where the monitoring point is located, and the horizontal direction of the laser receiving target position is defined as the x-axis, and the vertical direction is the y-axis, then the measured x-axis coordinate is the displacement d of the monitoring point 1 , d 2 , d 3 , ... d n , the y-axis coordinate is the settlement of the monitoring point.

进一步的,所述激光接收靶位采用磨砂面材料制成以消除或降低接收光斑的光晕。Further, the laser receiving target is made of frosted material to eliminate or reduce the halo of the receiving spot.

进一步的,所述初始间距DD1、D2、D3、......Dn-1和位移后的间D1'、D2'、D3'、......Dn-1'是利用激光发射装置的测距功能测量得到。Further, the initial distances DD 1 , D 2 , D 3 , ... D n-1 and the displaced distances D 1 ′, D 2 ′, D 3 ′, ... D n-1 ' is measured by using the distance measuring function of the laser emitting device.

进一步的,初始状态下各监测点的坐标采用全站仪测量得到。Further, the coordinates of each monitoring point in the initial state are measured by a total station.

进一步的,所述监测基点的位移量由前一个监测点的初始坐标结合公式(1)测得。Further, the displacement of the monitoring base point is measured by combining the initial coordinates of the previous monitoring point with formula (1).

本发明的有益效果是:和传统的人工测量相比,本方案利用激光发射装置和激光接收靶位测得对应的数据,从而可以求出各监测点的位移量。The beneficial effects of the invention are: compared with the traditional manual measurement, the scheme uses the laser emitting device and the laser receiving target to measure the corresponding data, so that the displacement of each monitoring point can be obtained.

附图说明Description of drawings

图1为本发明原理图;Fig. 1 is a schematic diagram of the present invention;

图2为各监测点位移状态示意图;Figure 2 is a schematic diagram of the displacement status of each monitoring point;

图3为各监测点位移后测量原理图。Figure 3 is a schematic diagram of the post-displacement measurement of each monitoring point.

具体实施方式Detailed ways

下面结合具体实施例进一步详细描述本发明的技术方案,但本发明的保护范围不局限于以下所述。The technical solution of the present invention will be further described in detail below in conjunction with specific examples, but the protection scope of the present invention is not limited to the following description.

参考图1所示,是本发明的基本原理,在已知两点的坐标前提下可以算出两点之间的间距和夹角,在图1中假设p1=(x1,y1)、p2=(x2,y2),则有:Shown with reference to Fig. 1, be the basic principle of the present invention, under the premise of knowing the coordinates of two points, can calculate the spacing and the included angle between two points, assume in Fig. 1 p 1 =(x 1 , y 1 ), p 2 =(x 2 ,y 2 ), then:

Figure BDA0002993181330000031
对其进行换算,则有:
Figure BDA0002993181330000031
Convert it to:

Figure BDA0002993181330000032
也就是说在已经两点之间的间距和夹角的前提下可以求出两点之间的坐标,以此作为基础进行微变形测量。
Figure BDA0002993181330000032
That is to say, the coordinates between the two points can be obtained under the premise of the distance and angle between the two points, and the micro-deformation measurement can be performed on this basis.

参考图2所示,是一种异形区域监测点的位移示意图,其测量的方法原理如图3所示,一种微变形激光准直测量方法,该方法步骤如下:Referring to Figure 2, it is a schematic diagram of the displacement of a monitoring point in a special-shaped area. The principle of its measurement method is shown in Figure 3. It is a micro-deformation laser alignment measurement method. The steps of the method are as follows:

步骤1):初始状态下各监测点依次为A1、A2、A3、......An,并用全站仪测得初始状态下各监测点的初始坐标表示为Ai=(xi,yi),i=1~n;Step 1): In the initial state, each monitoring point is A 1 , A 2 , A 3 , ... A n in turn, and the initial coordinates of each monitoring point in the initial state measured by the total station are expressed as A i = (x i ,y i ), i=1~n;

步骤2):用步骤1)测得的各监测点坐标依次计算监测点间距离为D1、D2、D3、......Dn-1与坐标方位角分别为α1、α2、α3、......αn-1Step 2): Use the coordinates of each monitoring point measured in step 1) to calculate the distances between monitoring points as D 1 , D 2 , D 3 , ... D n-1 and the coordinate azimuths as α 1 , α 2 , α 3 , . . . α n-1 ;

步骤3):定义位移后的各监测点A1'、A2'、A3'、......An',测得位移后的各相邻监测点之间的直线间距依次为D1'、D2'、D3'、......Dn-1';Step 3): Define each monitoring point A 1 ', A 2 ', A 3 ', ... A n ' after the displacement, and the linear distance between the adjacent monitoring points after the displacement is measured as D 1 ', D 2 ', D 3 ', ... D n-1 ';

步骤4):定期测量各监测点相较于上次监测点的位移量,依次记为d1、d2、d3、......dn,则有各监测点位移后与坐标方位角分别为Δα1、Δα2、Δα3、......Δαn-1,其中,

Figure BDA0002993181330000041
其中为常量
Figure BDA0002993181330000042
Step 4): Regularly measure the displacement of each monitoring point compared with the last monitoring point, and record them as d 1 , d 2 , d 3 , ... d n in turn, then there are coordinates after the displacement of each monitoring point The azimuth angles are Δα 1 , Δα 2 , Δα 3 , ... Δα n-1 , where,
Figure BDA0002993181330000041
where constant
Figure BDA0002993181330000042

步骤5):计算D1'、D2'、D3'、......Dn-1'与X轴的夹角Δα1'、Δα2'、Δα3'、......Δαn-1',则有:Step 5): Calculate the angles Δα 1 ', Δα 2 ' , Δα 3 ' , ... ..Δα n-1 ', then:

α'n-1=αn-1+Δαn-1α' n-1 = α n-1 + Δα n-1 ;

步骤6):以任一监测点的初始坐标为监测基点,测量其相邻监测点的位移坐标,同时基于已求出的监测点的位移坐标,测量下一个监测点的位移坐标,则有:Step 6): Take the initial coordinates of any monitoring point as the monitoring base point, measure the displacement coordinates of its adjacent monitoring points, and measure the displacement coordinates of the next monitoring point based on the calculated displacement coordinates of the monitoring point, then:

监测点An=(xn,yn)为监测基点,则An+1'的坐标为:Monitoring point A n = (x n , y n ) is the monitoring base point, then the coordinates of A n+1 ' are:

Figure BDA0002993181330000043
Figure BDA0002993181330000043

则有,An+2'的坐标为:Then, the coordinates of A n+2 ' are:

Figure BDA0002993181330000044
Figure BDA0002993181330000044

步骤7):根据各监测点位移后的坐标与对应的初始坐标比较即得到各监测坐标的位移量。Step 7): By comparing the displaced coordinates of each monitoring point with the corresponding initial coordinates, the displacement of each monitoring coordinate is obtained.

进一步的,所述的各监测点设置有激光发射装置和激光接收靶位用于测量各监测点之间初始间距D1、D2、D3、......Dn-1,以及位移后的间距D1'、D2'、D3'、......Dn-1',以及位移量d1、d2、d3、......dnFurther, each of the monitoring points is provided with a laser emitting device and a laser receiving target for measuring the initial distance D 1 , D 2 , D 3 , ... D n-1 between each monitoring point, and The displaced distances D 1 ′, D 2 ′, D 3 ′, ... D n-1 ', and the displacements d 1 , d 2 , d 3 , ... d n .

进一步的,所述激光接收靶位垂直于监测点所在平面,定义激光接收靶位的水平方向为x轴,垂直方向为y轴,则测得的x轴坐标即为该监测点的位移量d1、d2、d3、......dn,y轴坐标即为该监测点的沉降量。Further, the laser receiving target position is perpendicular to the plane where the monitoring point is located, and the horizontal direction of the laser receiving target position is defined as the x-axis, and the vertical direction is the y-axis, then the measured x-axis coordinate is the displacement d of the monitoring point 1 , d 2 , d 3 , ... d n , the y-axis coordinate is the settlement of the monitoring point.

进一步的,所述激光接收靶位采用磨砂面材料制成以消除或降低接收光斑的光晕。Further, the laser receiving target is made of frosted material to eliminate or reduce the halo of the receiving spot.

进一步的,所述初始间距DD1、D2、D3、......Dn-1和位移后的间D1'、D2'、D3'、......Dn-1'是利用激光发射装置的测距功能测量得到。Further, the initial distances DD 1 , D 2 , D 3 , ... D n-1 and the displaced distances D 1 ′, D 2 ′, D 3 ′, ... D n-1 ' is measured by using the distance measuring function of the laser emitting device.

进一步的,初始状态下各监测点的坐标采用全站仪测量得到。Further, the coordinates of each monitoring point in the initial state are measured by a total station.

进一步的,所述监测基点的位移量由前一个监测点的初始坐标结合公式(1)测得。Further, the displacement of the monitoring base point is measured by combining the initial coordinates of the previous monitoring point with formula (1).

以上所述仅是本发明的优选实施方式,应当理解本发明并非局限于本文所披露的形式,不应看作是对其他实施例的排除,而可用于各种其他组合、修改和环境,并能够在本文所述构想范围内,通过上述教导或相关领域的技术或知识进行改动。而本领域人员所进行的改动和变化不脱离本发明的精神和范围,则都应在本发明所附权利要求的保护范围内。The above descriptions are only preferred embodiments of the present invention, and it should be understood that the present invention is not limited to the forms disclosed herein, and should not be regarded as excluding other embodiments, but can be used in various other combinations, modifications and environments, and Modifications can be made within the scope of the ideas described herein, by virtue of the above teachings or skill or knowledge in the relevant art. However, changes and changes made by those skilled in the art do not depart from the spirit and scope of the present invention, and should all be within the protection scope of the appended claims of the present invention.

Claims (5)

1.一种微变形激光准直测量方法,其特征在于,该方法步骤如下:1. A micro-deformation laser alignment measurement method, characterized in that, the method steps are as follows: 步骤1):初始状态下各监测点依次为A1、A2、A3、......An,并用全站仪测得初始状态下各监测点的初始坐标表示为Ai=(xi,yi),i=1~n;Step 1): In the initial state, each monitoring point is A 1 , A 2 , A 3 , ... A n in turn, and the initial coordinates of each monitoring point in the initial state measured by the total station are expressed as A i = (x i ,y i ), i=1~n; 步骤2):用步骤1)测得的各监测点坐标依次计算监测点间的初始间距为D1、D2、D3、......Dn-1与坐标方位角分别为α1、α2、α3、......αn-1Step 2): Use the coordinates of each monitoring point measured in step 1) to calculate the initial distance between the monitoring points as D 1 , D 2 , D 3 , ... D n-1 and the coordinate azimuth angle as α 1 , α 2 , α 3 , . . . α n-1 ; 步骤3):定义位移后的各监测点A1'、A2'、A3'、......An',测得位移后的各相邻监测点之间的直线间距依次为D1'、D2'、D3'、......Dn-1';Step 3): Define each monitoring point A 1 ', A 2 ', A 3 ', ... A n ' after the displacement, and the linear distance between the adjacent monitoring points after the displacement is measured as D 1 ', D 2 ', D 3 ', ... D n-1 '; 步骤4):定期测量各监测点相较于上次监测点的位移量,依次记为d1、d2、d3、......dn,则有各监测点位移后坐标方位角变化量分别为Δα1、Δα2、Δα3、......Δαn-1,其中,
Figure FDA0003835125250000011
其中为常量
Figure FDA0003835125250000012
Step 4): Regularly measure the displacement of each monitoring point compared with the last monitoring point, and record them as d 1 , d 2 , d 3 , ... d n in turn, then there are coordinates and azimuths of each monitoring point after displacement The angle changes are Δα 1 , Δα 2 , Δα 3 , . . . Δα n-1 , where,
Figure FDA0003835125250000011
where constant
Figure FDA0003835125250000012
步骤5):计算D1'、D2'、D3'、......Dn-1'与坐标方位角变化量Δα1'、Δα2'、Δα3'、......Δαn-1',则有:Step 5): Calculate D 1 ', D 2 ', D 3 ', ... D n-1 ' and coordinate azimuth variation Δα 1 ', Δα 2 ', Δα 3 ', ... ..Δα n-1 ', then: α'n-1=αn-1+Δαn-1α' n-1 = α n-1 + Δα n-1 ; 步骤6):以任一监测点的初始坐标为监测基点,测量其相邻监测点的位移坐标,同时基于已求出的监测点的位移坐标,测量下一个监测点的位移坐标,则有:Step 6): Take the initial coordinates of any monitoring point as the monitoring base point, measure the displacement coordinates of its adjacent monitoring points, and measure the displacement coordinates of the next monitoring point based on the calculated displacement coordinates of the monitoring point, then: 监测点An=(xn,yn)为监测基点,则An+1'的坐标为:Monitoring point A n = (x n , y n ) is the monitoring base point, then the coordinates of A n+1 ' are:
Figure FDA0003835125250000013
Figure FDA0003835125250000013
则有,An+2'的坐标为:Then, the coordinates of A n+2 ' are:
Figure FDA0003835125250000014
Figure FDA0003835125250000014
步骤7):根据各监测点位移后的坐标与对应的初始坐标比较即得到各监测坐标的位移量;Step 7): Comparing the displaced coordinates of each monitoring point with the corresponding initial coordinates to obtain the displacement of each monitoring coordinate; 所述的各监测点设置有激光发射装置和激光接收靶位用于测量各监测点之间初始间距D1、D2、D3、......Dn-1,以及位移后的直线间距D1'、D2'、D3'、......Dn-1',以及位移量d1、d2、d3、......dnEach of the monitoring points is equipped with a laser emitting device and a laser receiving target for measuring the initial distance D 1 , D 2 , D 3 , ... D n-1 between each monitoring point, and the displaced Linear spacing D 1 ', D 2 ', D 3 ', ... D n-1 ', and displacement d 1 , d 2 , d 3 , ... d n ; 所述激光接收靶位采用磨砂面材料制成以消除或降低接收光斑的光晕。The laser receiving target is made of frosted material to eliminate or reduce the halo of the receiving spot.
2.根据权利要求1所述的一种微变形激光准直测量方法,其特征在于,所述激光接收靶位垂直于监测点所在平面,定义激光接收靶位的水平方向为x轴,垂直方向为y轴,则测得的x轴坐标即为该监测点的位移量d1、d2、d3、......dn,y轴坐标即为该监测点的沉降量。2. A method for measuring micro-deformation laser alignment according to claim 1, wherein the laser receiving target is perpendicular to the plane where the monitoring point is located, and the horizontal direction of the laser receiving target is defined as the x-axis, and the vertical direction is the y-axis, the measured x-axis coordinates are the displacements d 1 , d 2 , d 3 , ... d n of the monitoring point, and the y-axis coordinates are the settlement of the monitoring point. 3.根据权利要求2所述的一种微变形激光准直测量方法,其特征在于,所述初始间距D1、D2、D3、......Dn-1和位移后的直线间距D1'、D2'、D3'、......Dn-1'是利用激光发射装置的测距功能测量得到。3. A kind of micro-deformation laser alignment measurement method according to claim 2, characterized in that, the initial spacing D 1 , D 2 , D 3 , ... D n-1 and the displaced The straight - line distances D 1 ′, D 2 ′, D 3 ′, . 4.根据权利要求3所述的一种微变形激光准直测量方法,其特征在于,初始状态下各监测点的坐标采用全站仪测量得到。4. A method for measuring micro-deformation laser alignment according to claim 3, wherein the coordinates of each monitoring point in the initial state are obtained by measuring with a total station. 5.根据权利要求4所述的一种微变形激光准直测量方法,其特征在于,所述监测基点的位移量由前一个监测点的初始坐标结合公式(1)测得。5. A method for measuring micro-deformation laser alignment according to claim 4, wherein the displacement of the monitoring base point is measured by combining the initial coordinates of the previous monitoring point with formula (1).
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