CN110197014B - Large-size rectangular jacking pipe jacking force estimation method based on displacement control - Google Patents
Large-size rectangular jacking pipe jacking force estimation method based on displacement control Download PDFInfo
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Abstract
本发明涉及一种基于位移控制的大尺寸矩形顶管顶推力估算方法，包括如下步骤：步骤1、运用数值分析分析软件Abaqus建立土层‑矩形顶管的数值分析模型；步骤2、根据建立的数值分析模型，对矩形顶管施加给定顶距及注浆压力方案；步骤3、根据不同的顶距和注浆压力方案，得到不同的顶推力，绘制不同注浆压力方案下顶推力随顶距变化的拟合曲线；步骤4、重复步骤2、步骤3得到不同拟合曲线，并将其与经验公式、实测数据对比，得到最佳拟合曲线和顶推力拟合函数，估算出顶推力，该拟合函数可以作为相同设计参数和施工条件的顶管顶推力计算通式。能较容易地估计顶推力，而不是用耗时的试错法来估计顶推力，能较好地适应各种管道与土体接触条件。
The present invention relates to a method for estimating the jacking force of a large-size rectangular pipe jacking based on displacement control, comprising the following steps: Step 1, using the numerical analysis software Abaqus to establish a numerical analysis model of the soil layer-rectangular pipe jacking; Step 2, according to the established numerical analysis model Numerical analysis model, applying a given jacking distance and grouting pressure scheme to the rectangular pipe jacking; step 3, according to different jacking distances and grouting pressure schemes, different jacking forces are obtained, and the jacking thrust under different grouting pressure schemes is plotted against The fitting curve of distance change; step 4, repeat steps 2 and 3 to obtain different fitting curves, and compare them with empirical formulas and measured data to obtain the best fitting curve and jacking force fitting function, and estimate the jacking force , this fitting function can be used as the general formula for calculating the pipe jacking force under the same design parameters and construction conditions. The jacking force can be estimated more easily, instead of using time-consuming trial and error method to estimate the jacking force, and it can better adapt to various pipe-soil contact conditions.
Description
技术领域technical field
本发明涉及隧道工程技术领域，尤其涉及一种基于位移控制的大尺寸矩形顶管顶推力估算方法。The invention relates to the technical field of tunnel engineering, in particular to a method for estimating the jacking force of a large-size rectangular pipe jacking based on displacement control.
背景技术Background technique
顶管施工就是在工作坑内借助于顶进设备产生的顶推力克服管道与周围土体的摩擦力，将管道按设计的坡度顶入土中。在一节管子完成顶入土层之后，再下第二节管节继续顶进，依次类推，将管道埋设在两坑之间。在顶管施工过程中，顶推力是整个顶管工程中最关键的参数，随着顶管机的不断开挖，顶管全部需要依靠顶推力顶入土中，顶推力在管节间传递最终至顶管机，进去平衡开挖掌子面。Pipe jacking construction is to use the jacking force generated by the jacking equipment to overcome the friction between the pipeline and the surrounding soil in the working pit, and push the pipeline into the soil according to the designed slope. After one section of pipe has been jacked into the soil layer, the second section of pipe section continues to be jacked, and so on, and the pipe is buried between the two pits. During the pipe jacking construction process, the jacking force is the most critical parameter in the entire pipe jacking project. With the continuous excavation of the pipe jacking machine, all the pipes need to rely on the jacking force to push into the soil, and the jacking force is transmitted between the pipe joints and finally to the ground. The pipe jacking machine goes in to balance the excavation face.
顶推力的估算是顶管施工和设计中的一个重要问题，数值分析常用来模拟施工过程，通过数值模拟，可以快速确定顶管周边土体与顶管外壁的接触力学行为，有利于顶推力的估算。在工程力学行为的数值模拟中，通常采用应力控制方法，由于经验计算公式和理论计算公式的不确定性，顶推力估算结果具有不确定性，顶推力过大会导致管段结构破坏，顶推力过小则会导致顶进失效。The estimation of jacking force is an important issue in pipe jacking construction and design. Numerical analysis is often used to simulate the construction process. Through numerical simulation, the contact mechanical behavior between the soil around the pipe jacking and the outer wall of the pipe can be quickly determined, which is beneficial to the jacking force. estimate. In the numerical simulation of engineering mechanical behavior, the stress control method is usually used. Due to the uncertainty of the empirical calculation formula and the theoretical calculation formula, the estimation results of the jacking force are uncertain. If the jacking force is too large, the structure of the pipe section will be damaged, and if the jacking force is too small It will cause jacking failure.
发明内容Contents of the invention
本发明所要解决的技术问题是提供一种基于位移控制的大尺寸矩形顶管顶推力估算方法，以克服上述现有技术中的不足。The technical problem to be solved by the present invention is to provide a large-size rectangular pipe jacking force estimation method based on displacement control, so as to overcome the above-mentioned shortcomings in the prior art.
本发明解决上述技术问题的技术方案如下：一种基于位移控制的大尺寸矩形顶管顶推力估算方法，包括如下步骤：The technical solution of the present invention to solve the above-mentioned technical problems is as follows: a large-size rectangular pipe jacking thrust estimation method based on displacement control, including the following steps:
步骤1、运用数值分析分析软件Abaqus建立土层-矩形顶管的数值分析模型；Step 1, using the numerical analysis software Abaqus to establish the numerical analysis model of the soil layer-rectangular pipe jacking;
步骤2、根据建立的数值分析模型，对矩形顶管施加给定顶距及注浆压力方案；Step 2. According to the established numerical analysis model, apply a given jacking distance and grouting pressure scheme to the rectangular pipe jacking;
步骤3、根据不同的顶距和注浆压力方案，得到不同的顶推力，并绘制不同注浆压力方案下顶推力随顶距变化的拟合曲线；Step 3. Obtain different jacking forces according to different jacking distances and grouting pressure schemes, and draw a fitting curve of jacking force changing with jacking distance under different grouting pressure schemes;
步骤4、重复步骤2、步骤3得到不同拟合曲线，并将其与经验公式、实测数据对比，得到最佳拟合曲线，估算出顶推力。Step 4. Repeat steps 2 and 3 to obtain different fitting curves, and compare them with empirical formulas and measured data to obtain the best fitting curve and estimate the jacking force.
在上述技术方案的基础上，本发明还可以做如下改进。On the basis of the above technical solutions, the present invention can also be improved as follows.
在上述方案中，所述顶推力的计算方法如下：In the above scheme, the calculation method of the jacking force is as follows:
通过数值分析模型后处理得到矩形顶管在给定顶距、对应选定注浆压力方案下的顶进过程中顶管截面各个结点沿顶进方向的应力分量，按截面结点总数加权平均，用平均顶管截面应力乘以矩形顶管截面积即得到该给定顶距的顶推力。Through the post-processing of the numerical analysis model, the stress components along the jacking direction of each node of the jacking pipe section during the jacking process of the rectangular pipe jacking at a given jacking distance and corresponding to the selected grouting pressure scheme are obtained, and the weighted average is based on the total number of section nodes , the jacking force of the given jacking distance can be obtained by multiplying the average jacking pipe section stress by the rectangular jacking pipe section area.
在上述方案中，所述数值分析模型中矩形顶管附近土层网格密度大于其他位置网格密度。In the above solution, the grid density of the soil layer near the rectangular pipe jacking in the numerical analysis model is greater than the grid density of other positions.
本发明的有益效果是：可以较容易地估计顶推力，而不是用耗时的试错法来估计顶推力，能较好地适应各种管道与土体接触条件，确保模拟是准确的,数值分析结果表明，位移控制可以很好的估算顶管中间段顶推力,估算精度较经验公式法高。The beneficial effects of the present invention are: the jacking force can be estimated more easily, instead of using time-consuming trial and error method to estimate the jacking force, it can better adapt to various contact conditions between pipelines and soil, and ensure that the simulation is accurate and the numerical value The analysis results show that the displacement control can well estimate the jacking force of the middle section of pipe jacking, and the estimation accuracy is higher than that of the empirical formula method.
附图说明Description of drawings
图1为方法实施顶管案例A1三维有限单元模型断面尺寸标注正视图；Fig. 1 is the front view of the method implementation pipe jacking case A 1 three-dimensional finite element model section dimensioning;
图2为方法实施顶管案例A1三维有限单元模型右侧面尺寸标注侧视图(土体部分沿1-1断面剖开)；Fig. 2 is the dimensioning side view on the right side of the three-dimensional finite element model of method implementation pipe jacking case A 1 (the soil part is cut along section 1-1);
图3为方法实施顶管案例A1三维有限单元模型立体尺寸标注(土体部分沿1-1断面剖开)；Fig. 3 is method implementation pipe jacking case A 1 three-dimensional finite element model three-dimensional dimension mark (soil body part is cut along section 1-1);
图4为方法实施顶管案例A1用于计算不同顶进位置顶推力的位置划分图(土体部分沿1-1剖面剖开)；Fig. 4 is a location division diagram for calculating the jacking force at different jacking positions in case A 1 of method implementation pipe jacking (the soil part is cut along the section 1-1);
图5注浆压力分布示意图一(已经顶进的管节)：方法实施顶管案例A1三维数值分析模型：顶管已经顶进某个距离，在该顶进距离范围内，矩形顶管外壁表面激活注浆压力，图为注浆压力分布；Fig. 5 Schematic diagram of grouting pressure distribution 1 (pipe joints that have been jacked): method to implement pipe jacking Case A 1 Three-dimensional numerical analysis model: the pipe jacking has been jacked for a certain distance, and within the range of the jacking distance, the outer wall of the rectangular pipe jacking Surface activated grouting pressure, the figure shows the grouting pressure distribution;
图6为方法实施顶管案例A1三维数值分析模型：只有顶进土体的范围，顶管外壁表面的注浆压力才会被激活，未顶进部分，注浆压力不激活，图为该情况的说明；Fig. 6 is the three-dimensional numerical analysis model of pipe jacking case A1 in the implementation of the method: the grouting pressure on the outer wall surface of the pipe jacking will be activated only in the range of jacking soil, and the grouting pressure will not be activated in the part that is not jacked. a description of the situation;
图7为方法实施顶管案例A1三维数值分析模型；Fig. 7 is the method implementation pipe jacking case A 1 three-dimensional numerical analysis model;
图8为方法实施顶管案例A1三维数值分析模型：用千斤顶使顶管从12米顶到13.5米时顶管截面沿顶进方向应力分布云图；Fig. 8 is the three-dimensional numerical analysis model of method implementation pipe jacking case A1 : the stress distribution nephogram of the pipe jacking section along the jacking direction when the jacking pipe is jacked from 12 meters to 13.5 meters with a jack;
图9为方法实施顶管案例A1三维数值分析模型：用千斤顶使顶管从27米顶到28.5米时顶管截面沿顶进方向应力分布云图；Fig. 9 is the three-dimensional numerical analysis model of method implementation pipe jacking case A1 : the stress distribution nephogram of the jacking section along the jacking direction when the jacking pipe is jacked from 27 meters to 28.5 meters with a jack;
图10为方法实施顶管案例A1三维数值分析模型：用千斤顶使顶管从42米顶到43.5米时顶管截面沿顶进方向应力分布云图；Fig. 10 is the three-dimensional numerical analysis model of method implementation pipe jacking case A1 : the stress distribution nephogram of the jacking section along the jacking direction when the jacking pipe is jacked from 42 meters to 43.5 meters with a jack;
图11为方法实施顶管案例A1三维数值分析模型：用千斤顶使顶管从57米顶到58.5米时顶管截面沿顶进方向应力分布云图；Fig. 11 is the three-dimensional numerical analysis model of method implementation pipe jacking case A1 : the stress distribution nephogram of the jacking section along the jacking direction when the jacking pipe is jacked from 57 meters to 58.5 meters with a jack;
图12为方法实施顶管案例A1三维数值分析模型：用千斤顶使顶管从72米顶到73.5米时顶管截面沿顶进方向应力分布云图；Fig. 12 is the three-dimensional numerical analysis model of method implementation pipe jacking case A1 : the stress distribution nephogram of the pipe jacking section along the jacking direction when the pipe is jacked from 72 meters to 73.5 meters with a jack;
图13为方法实施顶管案例A1三维数值分析模型：用千斤顶使顶管从87米顶到88.5米时顶管截面沿顶进方向应力分布云图；Fig. 13 is the three-dimensional numerical analysis model of method implementation pipe jacking case A1 : the stress distribution nephogram of the jacking section along the jacking direction when the jacking pipe is jacked from 87 meters to 88.5 meters with a jack;
图14为顶管实施案例A1:实测、经验公式、不同注浆压力方案下位移控制有限单元模型得到顶推力随顶进距离拟合关系的比较；Fig. 14 is the pipe jacking implementation case A1 : actual measurement, empirical formula, displacement control finite element model under different grouting pressure schemes to obtain the comparison of jacking force with jacking distance fitting relationship;
图15为顶管实施案例A2(设计参数、施工条件与A1一致)：实测、经验公式、顶管实施案例A1在最优注浆压力方案(注浆压力方案4)下位移控制有单元法得到的顶推力随顶进距离的拟合关系的比较，该图可作为位移控制有限单元法是否具有谱适性的一个验证；Figure 15 is pipe jacking implementation case A 2 (the design parameters and construction conditions are consistent with A 1 ): the actual measurement, empirical formula, and pipe jacking implementation case A 1 have displacement control under the optimal grouting pressure scheme (grouting pressure scheme 4). The comparison of the fitting relationship between jacking force and jacking distance obtained by the element method can be used as a verification of whether the displacement control finite element method has spectral suitability;
图16为顶管实施案例B1:实测、经验公式、不同注浆压力方案下位移控制有限单元模型得到顶推力随顶进距离拟合关系的比较；Fig. 16 is the pipe jacking implementation case B1 : actual measurement, empirical formula, displacement control finite element model under different grouting pressure schemes to obtain the comparison of jacking force with jacking distance fitting relationship;
图17为顶管实施案例B2(设计参数、施工条件与B1一致)：实测、经验公式、顶管实施案例B1在最优注浆压力方案(注浆压力方案1)下位移控制有单元法得到的顶推力随顶进距离的拟合关系的比较，该图可作为位移控制有限单元法是否具有谱适性的一个验证；Figure 17 is the pipe jacking implementation case B 2 (the design parameters and construction conditions are consistent with B 1 ): the actual measurement, empirical formula, and pipe jacking implementation case B 1 have displacement control under the optimal grouting pressure scheme (grouting pressure scheme 1). The comparison of the fitting relationship between jacking force and jacking distance obtained by the element method can be used as a verification of whether the displacement control finite element method has spectral suitability;
图18为基于位移控制的大尺寸矩形顶管顶推力估算方法的流程图。Fig. 18 is a flowchart of a large-size rectangular pipe jacking force estimation method based on displacement control.
具体实施方式Detailed ways
以下结合附图对本发明的原理和特征进行描述，所举实例只用于解释本发明，并非用于限定本发明的范围。The principles and features of the present invention are described below in conjunction with the accompanying drawings, and the examples given are only used to explain the present invention, and are not intended to limit the scope of the present invention.
如图1～图18所示，一种基于位移控制的大尺寸矩形顶管顶推力估算方法，包括如下步骤：As shown in Figures 1 to 18, a method for estimating the thrust of a large-size rectangular pipe jacking based on displacement control includes the following steps:
步骤1、运用数值分析分析软件Abaqus建立土层-矩形顶管的数值分析模型，其中，Abaqus版本为Abaqus2016；Step 1. Use the numerical analysis software Abaqus to establish the numerical analysis model of the soil layer-rectangular pipe jacking, wherein the Abaqus version is Abaqus2016;
步骤2、在建立的数值分析模型中对矩形顶管在给定的各处顶进位置(顶管实施案例A1为6个)施加一个管节宽度的进距离(顶管案例A1为1.5m)，选择注浆压力方案(顶管案例A1有4种注浆压力方案)；Step 2. In the established numerical analysis model, apply a distance of a pipe section width to the rectangular pipe jacking at each given jacking position (pipe jacking implementation case A 1 is 6) (pipe jacking case A 1 is 1.5 m), select the grouting pressure scheme (pipe jacking case A 1 has 4 kinds of grouting pressure schemes);
步骤3、根据不同的顶距和注浆压力方案，计算在给定各处顶进位置(顶管实施案例A1为6个)，给定顶进距离(顶管案例A1为1.5m)，给定注浆压力方案下(顶管案例A1有4种注浆压力方案)顶进过程的顶推力，即得到不同的顶推力，绘制不同注浆压力方案下顶推力随顶距变化的拟合曲线；Step 3. According to different jacking distances and grouting pressure schemes, calculate the jacking positions at given places (6 for pipe jacking implementation case A 1 ) and given jacking distance (1.5m for pipe jacking case A 1 ) , given the grouting pressure scheme (there are 4 kinds of grouting pressure schemes in pipe jacking case A1 ), the jacking force during the jacking process, that is, different jacking forces are obtained, and the jacking force varies with the jacking distance under different grouting pressure schemes Curve fitting;
步骤4、重复步骤2、步骤3得到不同拟合曲线和函数关系，将其与实际工程中顶推力随顶进距离的拟合曲线和函数关系进行对比，选择最佳顶推力拟合曲线，该曲线的拟合公式作为相同设计参数、相同施工条件下的矩形顶管顶推力的计算通式。Step 4. Repeat steps 2 and 3 to obtain different fitting curves and functional relationships, compare them with the fitting curves and functional relationships of the jacking force with the jacking distance in actual engineering, and select the best fitting curve of the jacking force. The fitting formula of the curve is used as the general formula for calculating the jacking force of rectangular pipe jacking under the same design parameters and the same construction conditions.
图4为方法实施顶管案例A1用于计算不同顶进位置顶推力的位置划分图(土体部分沿1-1剖面剖开)，根据顶进位置划分6个顶推力计算模型，每个顶推力计算模型顶进距离均为一个管节的距离，即1.5m，分别为：模型1：12m-13.5m，模型2:27m-28.5m，模型3:42m-43.5m，模型4:57m-58.5m，模型5:72m-73.5m，模型6:87m-88.5m。该模型可以计算步同顶进位置的顶推力，拟合得到顶推力随顶进距离的变化关系曲线。Fig. 4 is the location division diagram for calculating the jacking force at different jacking positions in case A1 of method implementation pipe jacking (the soil part is cut along section 1-1), and six jacking force calculation models are divided according to the jacking position, each The jacking distance of the jacking force calculation model is the distance of one pipe joint, that is, 1.5m, which are: model 1: 12m-13.5m, model 2: 27m-28.5m, model 3: 42m-43.5m, model 4: 57m -58.5m, Model 5: 72m-73.5m, Model 6: 87m-88.5m. The model can calculate the jacking force at the synchronous jacking position, and fit the relationship curve of the jacking force with the jacking distance.
图7为方法实施顶管案例A1三维数值分析模型：对矩形顶管管节截面单元和结点进行划分，并对管节截面单元进行编号，每个模型顶管顶到相应位置时，提取截面各结点沿顶管顶进方向的应力分量，按结点总数加权平均，加权平均应力与截面面积相乘得到顶管的内力，该内力作为顶管顶进到该位置的顶推力代表值。Fig. 7 is the three-dimensional numerical analysis model of pipe jacking case A 1 in the implementation of the method: divide the section elements and nodes of rectangular pipe jacking joints, and number the section units of pipe joints, and when the pipe jacking of each model reaches the corresponding position, extract The stress component of each node along the pipe jacking direction of the section is weighted and averaged according to the total number of nodes, and the weighted average stress is multiplied by the cross-sectional area to obtain the internal force of the pipe jacking, which is used as the representative value of the jacking force for the pipe jacking to the position .
针对矩形顶管推力的计算尚无规范可依，可以经圆形顶管推力计算公式进行优化，参考文献《超大断面矩形顶管减阻技术在郑州市下穿中州大道隧道工程中的应用》。实际工程顶推力是指在实际工程中监测得到，对比的作用为验证数值模拟方法顶推力估算的正确性，并且获得估算误差，见附表3、4，利用数值模拟方法顶推力估算拟合曲线与实际监测数据拟合曲线不断对比，矫正注浆压力方案，得到顶推力随顶进距离的最佳估算拟合曲线。There is no standard to follow for the calculation of the thrust of rectangular pipe jacking, and it can be optimized through the calculation formula of thrust of circular pipe jacking. Please refer to the document "Application of super large section rectangular pipe jacking drag reduction technology in the tunnel project under Zhongzhou Avenue in Zhengzhou". Actual project jacking force refers to the monitoring in the actual project. The purpose of comparison is to verify the correctness of the numerical simulation method of jacking force estimation, and to obtain the estimation error. See attached tables 3 and 4. Use the numerical simulation method to estimate the fitting curve of the jacking force Constantly comparing with the fitting curve of the actual monitoring data, correcting the grouting pressure scheme, and obtaining the best estimated fitting curve of jacking force versus jacking distance.
需要进一步说明的是：注浆压力方案的调整是指根据工程经验和实际工程的注浆压力监测数据作细微的调整。It needs to be further explained that the adjustment of the grouting pressure scheme refers to the minor adjustments made according to the engineering experience and the grouting pressure monitoring data of the actual project.
所述顶推力的计算方法如下：The calculation method of the jacking force is as follows:
通过数值分析模型后处理得到矩形顶管在各给定顶进位置、给定顶进距离、相应注浆压力方案下的顶进过程中某个管节截面各结点沿着顶进方向的应力分量(顶管实施案例A1模型为σyy)，加权平均得到该截面的平均结点应力分量，然后用平均结点应力分量乘以该管节的截面积，获得矩形顶管在该顶进位置和顶进距离的内力，该内力作为顶管顶推力的代表值。Through the post-processing of the numerical analysis model, the stress of each node along the jacking direction of a pipe section section during the jacking process of the rectangular pipe at a given jacking position, a given jacking distance, and a corresponding grouting pressure scheme is obtained component (the model of pipe jacking implementation case A1 is σ yy ), the weighted average is obtained to obtain the average nodal stress component of the section, and then the average nodal stress component is multiplied by the section area of the pipe joint to obtain the The internal force of position and jacking distance, which is used as a representative value of pipe jacking force.
所述数值分析模型中矩形顶管附近土层网格密度大于其他位置网格密度。In the numerical analysis model, the grid density of the soil layer near the rectangular pipe jacking is greater than that of other locations.
表1.案例A1不同注浆压力方案Table 1. Case A 1 Different grouting pressure schemes
顶管实施案例A1:实测、经验公式、不同注浆压力方案下位移控制有限单元模型得到顶推力随顶进距离拟合关系的比较。Pipe jacking implementation case A1: Comparison of the fitting relationship between jacking force and jacking distance obtained from actual measurement, empirical formula, and displacement control finite element model under different grouting pressure schemes.
表2.案例B1不同注浆压力方案Table 2. Case B 1 Different grouting pressure schemes
顶管实施案例B1:实测、经验公式、不同注浆压力方案下位移控制有限单元模型得到顶推力随顶进距离拟合关系的比较。Pipe jacking implementation case B1: Comparison of the fitting relationship between jacking force and jacking distance obtained from actual measurement, empirical formula, and displacement control finite element model under different grouting pressure schemes.
表3.不同注浆压力方案下A1方案顶推力估算偏差Table 3. Estimated deviation of jacking force of scheme A1 under different grouting pressure schemes
不同注浆压力方案下A1方案顶推力估算偏差情况。The deviation of the estimated jacking force of the A1 scheme under different grouting pressure schemes.
表4.案例A2顶推力估计的偏差Table 4. Bias of Case A 2 Jack Thrust Estimation
顶管实施案例A2(设计参数、施工条件与A1一致)：实测、经验公式、顶管实施案例A1在最优注浆压力方案(注浆压力方案4)下位移控制有单元法得到的顶推力随顶进距离的拟合关系的比较，该图可作为位移控制有限单元法是否具有普适性的一个验证。Pipe jacking implementation case A 2 (design parameters and construction conditions are consistent with A 1 ): actual measurement, empirical formula, pipe jacking implementation case A 1 is obtained by the unit method for displacement control under the optimal grouting pressure scheme (grouting pressure scheme 4) The comparison of the fitting relationship between the jacking force and the jacking distance can be used as a verification of the universality of the displacement control finite element method.
表5.不同注浆压力方案下B1方案顶推力估算偏差的比较Table 5. Comparison of the estimated deviation of the jacking force of the B1 scheme under different grouting pressure schemes
顶管实施案例B1:实测、经验公式、不同注浆压力方案下位移控制有限单元模型得到顶推力随顶进距离拟合关系的比较。Pipe jacking implementation case B1 : Comparison of the fitting relationship between jacking force and jacking distance obtained from actual measurement, empirical formula, and displacement control finite element model under different grouting pressure schemes.
表6.案例B2顶推力估计的偏差Table 6. Bias of jackthrust estimation for Case B 2
顶管实施案例B2(设计参数、施工条件与B1一致)：实测、经验公式、顶管实施案例B1在最优注浆压力方案(注浆压力方案1)下位移控制有单元法得到的顶推力随顶进距离的拟合关系的比较，该图可作为位移控制有限单元法是否具有普适性的一个验证。Pipe jacking implementation case B 2 (the design parameters and construction conditions are consistent with B 1 ): actual measurement, empirical formula, pipe jacking implementation case B1 is obtained by unit method for displacement control under the optimal grouting pressure scheme (grouting pressure scheme 1) The comparison of the fitting relationship between jacking force and jacking distance can be used as a verification of the universality of the displacement control finite element method.
尽管上面已经示出和描述了本发明的实施例，可以理解的是，上述实施例是示例性的，不能理解为对本发明的限制，本领域的普通技术人员在本发明的范围内可以对上述实施例进行变化、修改、替换和变型。Although the embodiments of the present invention have been shown and described above, it can be understood that the above embodiments are exemplary and should not be construed as limiting the present invention, those skilled in the art can make the above-mentioned The embodiments are subject to changes, modifications, substitutions and variations.
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