WO2021244673A1 - Method for predicting emergency-response pipe-pushing thrust for subway tunnel collapse - Google Patents

Method for predicting emergency-response pipe-pushing thrust for subway tunnel collapse Download PDF

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WO2021244673A1
WO2021244673A1 PCT/CN2021/109421 CN2021109421W WO2021244673A1 WO 2021244673 A1 WO2021244673 A1 WO 2021244673A1 CN 2021109421 W CN2021109421 W CN 2021109421W WO 2021244673 A1 WO2021244673 A1 WO 2021244673A1
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thrust
push
determining
pipe
length
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Chinese (zh)
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高岩
何长江
孟庆一
王君厚
钱坤
刘云生
李飞
尹子涛
矫永岩
李德柱
李旭军
葛朝朝
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中铁九局集团有限公司
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Priority to JP2022549229A priority Critical patent/JP7264566B2/en
Publication of WO2021244673A1 publication Critical patent/WO2021244673A1/en

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    • E—FIXED CONSTRUCTIONS
    • E21—EARTH OR ROCK DRILLING; MINING
    • E21F—SAFETY DEVICES, TRANSPORT, FILLING-UP, RESCUE, VENTILATION, OR DRAINING IN OR OF MINES OR TUNNELS
    • E21F17/00—Methods or devices for use in mines or tunnels, not covered elsewhere
    • E21F17/18—Special adaptations of signalling or alarm devices
    • E—FIXED CONSTRUCTIONS
    • E21—EARTH OR ROCK DRILLING; MINING
    • E21F—SAFETY DEVICES, TRANSPORT, FILLING-UP, RESCUE, VENTILATION, OR DRAINING IN OR OF MINES OR TUNNELS
    • E21F11/00—Rescue devices or other safety devices, e.g. safety chambers or escape ways
    • E—FIXED CONSTRUCTIONS
    • E21—EARTH OR ROCK DRILLING; MINING
    • E21D—SHAFTS; TUNNELS; GALLERIES; LARGE UNDERGROUND CHAMBERS
    • E21D9/00—Tunnels or galleries, with or without linings; Methods or apparatus for making thereof; Layout of tunnels or galleries
    • E—FIXED CONSTRUCTIONS
    • E21—EARTH OR ROCK DRILLING; MINING
    • E21D—SHAFTS; TUNNELS; GALLERIES; LARGE UNDERGROUND CHAMBERS
    • E21D9/00—Tunnels or galleries, with or without linings; Methods or apparatus for making thereof; Layout of tunnels or galleries
    • E21D9/003—Arrangement of measuring or indicating devices for use during driving of tunnels, e.g. for guiding machines
    • E—FIXED CONSTRUCTIONS
    • E21—EARTH OR ROCK DRILLING; MINING
    • E21D—SHAFTS; TUNNELS; GALLERIES; LARGE UNDERGROUND CHAMBERS
    • E21D9/00—Tunnels or galleries, with or without linings; Methods or apparatus for making thereof; Layout of tunnels or galleries
    • E21D9/01—Methods or apparatus for enlarging or restoring the cross-section of tunnels, e.g. by restoring the floor to its original level
    • G—PHYSICS
    • G01—MEASURING; TESTING
    • G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N19/00—Investigating materials by mechanical methods
    • G01N19/02—Measuring coefficient of friction between materials
    • G—PHYSICS
    • G01—MEASURING; TESTING
    • G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N3/00—Investigating strength properties of solid materials by application of mechanical stress
    • G01N3/24—Investigating strength properties of solid materials by application of mechanical stress by applying steady shearing forces
    • G—PHYSICS
    • G01—MEASURING; TESTING
    • G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N9/00—Investigating density or specific gravity of materials; Analysing materials by determining density or specific gravity
    • G01N9/02—Investigating density or specific gravity of materials; Analysing materials by determining density or specific gravity by measuring weight of a known volume
    • G—PHYSICS
    • G01—MEASURING; TESTING
    • G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N9/00—Investigating density or specific gravity of materials; Analysing materials by determining density or specific gravity
    • G01N9/02—Investigating density or specific gravity of materials; Analysing materials by determining density or specific gravity by measuring weight of a known volume
    • G01N2009/022—Investigating density or specific gravity of materials; Analysing materials by determining density or specific gravity by measuring weight of a known volume of solids
    • G—PHYSICS
    • G01—MEASURING; TESTING
    • G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N2203/00—Investigating strength properties of solid materials by application of mechanical stress
    • G01N2203/0014—Type of force applied
    • G01N2203/0025—Shearing

Definitions

  • the invention relates to the field of infrastructure construction, in particular to a method for predicting the thrust of the pipe when the subway tunnel collapses by adopting the pipe pushing method to rescue the emergency.
  • the push-pipe method is one of the better methods. This method uses thrust to force the pipe into the collapsed body, pass through the collapsed body, and transport air and rescue items to the collapsed body through the pipeline. District, to provide supplies for the trapped people.
  • the thrust of the tube push method generally uses tools such as jacks or forklifts. The jack requires reaction force support. The reaction force and thrust are a pair of force and reaction force.
  • the purpose of the present invention is to provide a method for predicting the emergency thrust of a subway tunnel collapse by pipe pushing method.
  • the technical solution of the present invention is: a method for predicting emergency thrust of subway tunnel collapse by pipe pushing method, the specific steps are as follows:
  • the vertical survey of the landslide was carried out on the above, and the height H of the landslide was measured.
  • a typical soil sample was taken in the landslide body, and the density of the landslide was measured by the ring knife method, and then multiplied by the acceleration of gravity to obtain the landslide weight ⁇ .
  • H 1 is usually between 1.0 and 3.0m.
  • int is an integer function.
  • T 1 ⁇ d 1 ⁇ nL 1 ,
  • T T 1 +T 2 +T 3 .
  • the beneficial effects of the present invention after the implementation of the present invention, when a subway tunnel collapses, it can predict the thrust during emergency rescue using the pipe pushing method.
  • the prediction method is relatively simple and the result is reliable, so that the thrust equipment can be selected reasonably and provide for tunnel rescue Technical Support.
  • a tunnel passed through an intrusive contact zone. Due to the poor nature of the surrounding rock and high groundwater level, it encountered a collapse problem, and 3 people were trapped inside. It is decided to use the tube pushing method for emergency rescue, and the prediction method of the present invention is used to predict the thrust required for the tube pushing.
  • Take a typical soil sample from the collapsed body use the ring knife method to measure its density to be 1.65g/cm 3 , and then multiply it by the acceleration of gravity to get its weight, ⁇ is 16.5kN/m 3 ;
  • the distance H 1 from the bottom of the tunnel is 1.5m; according to the geophysical method, the horizontal length L of the landslide body at the central axis of the push tube is determined to be 14.8m; the push tube selected for construction is measured to obtain the conventional section outer diameter d 1 of the push tube Is 0.30m, the outer diameter d 2 of the enlarged section is 0.35m and the outer diameter D of the cone is 0.35m, and the conventional section length L 1 of a single push tube is

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  • Engineering & Computer Science (AREA)
  • Mining & Mineral Resources (AREA)
  • Life Sciences & Earth Sciences (AREA)
  • General Life Sciences & Earth Sciences (AREA)
  • Geochemistry & Mineralogy (AREA)
  • Geology (AREA)
  • Health & Medical Sciences (AREA)
  • Biochemistry (AREA)
  • Pathology (AREA)
  • Analytical Chemistry (AREA)
  • Physics & Mathematics (AREA)
  • General Health & Medical Sciences (AREA)
  • General Physics & Mathematics (AREA)
  • Immunology (AREA)
  • Chemical & Material Sciences (AREA)
  • Environmental & Geological Engineering (AREA)
  • Automation & Control Theory (AREA)
  • Business, Economics & Management (AREA)
  • Emergency Management (AREA)
  • Pulmonology (AREA)
  • Excavating Of Shafts Or Tunnels (AREA)
  • Investigation Of Foundation Soil And Reinforcement Of Foundation Soil By Compacting Or Drainage (AREA)
  • Geophysics And Detection Of Objects (AREA)

Abstract

Provided is a method for predicting the thrust of a pipe in pipe-pushing emergency response when a subway tunnel collapses. Comprised are: determining the height H and the severity γ of a collapse, determining the distance H from the center axis of a push pipe to the bottom of a tunnel 1, determining the horizontal length L of a slid-collapsed body at the central axis of the push pipe according to a geophysical prospecting or exploratory drilling method or estimation method; determining the cohesive force c and the internal friction angle φ of the collapsed body; determining the interface friction between the collapsed body and the outer wall of the push pipe ҭ; determining the number of push pipes m and the number of complete pipes n within the range of the horizontal length L; determining the conventional section length L of the incomplete push pipe within the horizontal length L range3 and expanding the head section length L4; determining the thrust T required for the conventional section1, the thrust required for the expansion section T2, and the required thrust T of the cone3; determining the total thrust T required to push the pipe.

Description

一种地铁隧道塌方推管法抢险推力预测方法A method for predicting emergency thrust of subway tunnel collapse by pipe pushing method 技术领域Technical field
本发明涉及基础建设领域，具体是指一种用于地铁隧道塌方时采用推管法抢险时推管推力的预测方法。The invention relates to the field of infrastructure construction, in particular to a method for predicting the thrust of the pipe when the subway tunnel collapses by adopting the pipe pushing method to rescue the emergency.
背景技术Background technique
隧道在开挖施工过程中，由于种种原因，比如地质状态、受力状态、地下水变化、不适当的设计或不适当的施工方法等，都可能引起隧道塌方。隧道一旦发生塌方，对里面施工人员的安全造成极大威胁。因此，在隧道塌方区实施快速救援十分重要。在各种救援方法中，推管法是较好的方法之一，该法利用推力将管道强行顶入到塌方体中，并穿过塌方体，通过管道将空气和抢险物品输送到塌方被困区，给被困人员以物资给养。推管法的推力一般采用千斤顶或铲车等工具，千斤顶需要反力支撑，反力和推力是一对作用力与反作用力，在实施推管法时，明确其推力大小，对于施加反力结构具有重要参考意义。然而，迄今为止，推力大小或反力大小均基于工程经验，尚未见到有关隧道抢险推管法推力的理论预测方法。During tunnel excavation and construction, due to various reasons, such as geological conditions, stress conditions, changes in groundwater, improper design or improper construction methods, etc., tunnel collapse may be caused. Once the tunnel collapses, it poses a great threat to the safety of the construction personnel inside. Therefore, it is very important to implement rapid rescue in the tunnel collapse area. Among various rescue methods, the push-pipe method is one of the better methods. This method uses thrust to force the pipe into the collapsed body, pass through the collapsed body, and transport air and rescue items to the collapsed body through the pipeline. District, to provide supplies for the trapped people. The thrust of the tube push method generally uses tools such as jacks or forklifts. The jack requires reaction force support. The reaction force and thrust are a pair of force and reaction force. When the tube push method is implemented, the magnitude of the thrust is clarified. For the reaction force structure It has important reference significance. However, so far, the magnitude of thrust or reaction force is based on engineering experience, and there is no theoretical prediction method for the thrust of the tunnel emergency pipe push method.
发明内容Summary of the invention
本发明的目的在于提供一种地铁隧道塌方推管法抢险推力预测方法。The purpose of the present invention is to provide a method for predicting the emergency thrust of a subway tunnel collapse by pipe pushing method.
为实现上述目的，本发明的技术方案是：一种地铁隧道塌方推管法抢险推力预测方法，具体步骤如下：In order to achieve the above-mentioned objective, the technical solution of the present invention is: a method for predicting emergency thrust of subway tunnel collapse by pipe pushing method, the specific steps are as follows:
(1)确定塌方体的高度H、重度γ。(1) Determine the height H and the severity γ of the collapsed body.
根据隧道不良地质体的高度H 0，乘以岩土体松散系数1.1～1.3，得到塌方体的高度H，即H＝(1.1～1.3)H 0，或根据物探、钻探方法或估计法在地面上对塌方体进行竖直勘探，测得塌方体的高度H；在塌方体内取典型土样，利用环刀法测得塌方体密度，然后乘以重力加速度得到塌方体重度γ。 According to the height H 0 of the poor geological body of the tunnel, multiply it by the looseness coefficient of rock and soil from 1.1 to 1.3 to obtain the height H of the landslide, that is, H = (1.1 to 1.3) H 0 , or on the ground according to geophysical prospecting, drilling methods or estimation methods The vertical survey of the landslide was carried out on the above, and the height H of the landslide was measured. A typical soil sample was taken in the landslide body, and the density of the landslide was measured by the ring knife method, and then multiplied by the acceleration of gravity to obtain the landslide weight γ.
(2)确定推管中心轴线离隧道底部的距离H 1。 (2) Determine the distance H 1 from the center axis of the push tube to the bottom of the tunnel.
为方便施工，通常H 1位于1.0～3.0m之间。 To facilitate construction, H 1 is usually between 1.0 and 3.0m.
(3)确定推管中心轴线处滑塌体的水平长度L。(3) Determine the horizontal length L of the sliding body at the central axis of the push tube.
根据物探、钻探方法或估计法确定出推管中心轴线处滑塌体的水平长度L。Determine the horizontal length L of the landslide body at the central axis of the push tube according to the geophysical prospecting, drilling method or estimation method.
(4)确定推管的常规段外径d 1、扩大段外径d 2和锥头外径D，以及单根推管的常规段长度L 1和扩大段长度L 2。 (4) determining the outer diameter of a conventional push tube segment d 1, d 2 and the enlarged outer diameter section outer diameter of the cone D, and a conventional single push tube length L 1 and expanded length L 2.
这些数据均由对施工选择的推管进行测量得到。These data are obtained by measuring the push pipe selected for construction.
(5)确定塌方体的粘聚力c和内摩擦角
Figure PCTCN2021109421-appb-000001
(5) Determine the cohesion c and internal friction angle of the landslide
Figure PCTCN2021109421-appb-000001
在塌方体上取典型土样，运回实验室，依据《土工试验方法标准》(GB-T50123-1999)，进行不固结快剪试验，测得岩土体的粘聚力c和内摩擦角
Figure PCTCN2021109421-appb-000002
Take a typical soil sample from the collapsed body and transport it back to the laboratory. According to the "Standard for Geotechnical Test Methods" (GB-T50123-1999), perform an unconsolidated quick shear test to measure the cohesion c and internal friction of the rock and soil. Horn
Figure PCTCN2021109421-appb-000002
(6)确定塌方体与推管外壁之间的界面摩擦力τ。(6) Determine the interface friction τ between the collapsed body and the outer wall of the push tube.
Figure PCTCN2021109421-appb-000003
Figure PCTCN2021109421-appb-000003
(7)确定水平长度L范围内的推管根数m和完整根数n。(7) Determine the number of push tubes m and the number of complete tubes n within the range of the horizontal length L.
Figure PCTCN2021109421-appb-000004
Figure PCTCN2021109421-appb-000004
其中，int为取整数函数。Among them, int is an integer function.
(8)确定水平长度L范围内的非完整推管的常规段长度L 3和扩大头段长度L 4。 (8) Determine the normal section length L 3 and the expanded head section length L 4 of the incomplete push tube within the horizontal length L range.
若(m-n)(L 1+L 2)＜L 1，则L 3＝(m-n)(L 1+L 2)，L 4＝0；否则，L 3＝L 1，L 4＝(m-n)(L 1+L 2)-L 1。 If (mn)(L 1 +L 2 )<L 1 , then L 3 =(mn)(L 1 +L 2 ), L 4 =0; otherwise, L 3 =L 1 , L 4 =(mn)( L 1 +L 2 )-L 1 .
(9)确定常规段所需的推力T 1、扩大段所需的推力T 2和锥头所需的推力T 3。 (9) Determine the thrust T 1 required for the conventional section, the thrust T 2 required for the expanded section, and the thrust T 3 required for the cone.
T 1＝πd 1τnL 1， T 1 =πd 1 τnL 1 ,
T 2＝πd 2τnL 2， T 2 =πd 2 τnL 2 ,
Figure PCTCN2021109421-appb-000005
Figure PCTCN2021109421-appb-000005
(10)确定推管所需的总推力T。(10) Determine the total thrust T required to push the tube.
T＝T 1+T 2+T 3。 T=T 1 +T 2 +T 3 .
本发明的有益效果：本发明实施后，能够待地铁隧道发生塌方时，对利用推管法进行抢险时的推力进行预测，预测方法较为简单、结果可靠，以便合理选用推力设备，为隧道抢险提供技术支持。The beneficial effects of the present invention: after the implementation of the present invention, when a subway tunnel collapses, it can predict the thrust during emergency rescue using the pipe pushing method. The prediction method is relatively simple and the result is reliable, so that the thrust equipment can be selected reasonably and provide for tunnel rescue Technical Support.
具体实施方式detailed description
实施例Example
某隧道经过侵入接触带，由于围岩性质较差，地下水位较高，遇到塌方问题，内有3人被困。决定采用推管法进行抢险，采用本发明的预测方法对推管所需的推力进行预测。经过物探方法，确定出隧道不良地质体的高度H 0为22.0m，乘以岩土体松散系数1.2，根据公式 H＝(1.1～1.3)H 0，得到塌方体的高度H为26.4m；在塌方体内取典型土样，利用环刀法测得其密度为1.65g/cm 3，然后乘以重力加速度得到其重度，γ为16.5kN/m 3；根据施工经验，确定出推管中心轴线离隧道底部的距离H 1为1.5m；根据物探方法确定出推管中心轴线处滑塌体的水平长度L为14.8m；对施工选择的推管进行测量，得到推管的常规段外径d 1为0.30m、扩大段外径d 2为0.35m和锥头外径D为0.35m，以及单根推管的常规段长度L 1为1.8m和扩大段长度L 2为0.2m；在塌方体上取典型土样，运回实验室进行不固结快剪试验，测得岩土体的粘聚力c为3.7kPa、内摩擦角
Figure PCTCN2021109421-appb-000006
为12°；根据
Figure PCTCN2021109421-appb-000007
进一步计算得到塌方体与推管外壁之间的界面摩擦力τ为87.3kPa；根据
Figure PCTCN2021109421-appb-000008
经计算，水平长度L范围内的推管根数m为7.8，完整根数n为7.0；进一步，(m-n)(L 1+L 2)＝1.6m＜L 1＝1.8m水平长度L范围内的非完整推管的常规段长度L 3为(m-n)(L 1+L 2)＝1.6m，扩大头段长度L 4为0；进一步，根据T 1＝πd 1τnL 1计算得到常规段所需的推力T 1为1167.8kN，根据T 2＝πd 2τnL 2扩大段所需的推力T 2为134.3kN，根据
Figure PCTCN2021109421-appb-000009
锥头所需的推力T 3为60.9kN；最后计算得到推管所需的总推力T为1363.0kN。 A tunnel passed through an intrusive contact zone. Due to the poor nature of the surrounding rock and high groundwater level, it encountered a collapse problem, and 3 people were trapped inside. It is decided to use the tube pushing method for emergency rescue, and the prediction method of the present invention is used to predict the thrust required for the tube pushing. After geophysical prospecting method, it is determined that the height H 0 of the poor geological body of the tunnel is 22.0m, multiplied by the rock and soil looseness coefficient of 1.2, and according to the formula H=(1.1～1.3)H 0 , the height H of the landslide is 26.4m; Take a typical soil sample from the collapsed body, use the ring knife method to measure its density to be 1.65g/cm 3 , and then multiply it by the acceleration of gravity to get its weight, γ is 16.5kN/m 3 ; The distance H 1 from the bottom of the tunnel is 1.5m; according to the geophysical method, the horizontal length L of the landslide body at the central axis of the push tube is determined to be 14.8m; the push tube selected for construction is measured to obtain the conventional section outer diameter d 1 of the push tube Is 0.30m, the outer diameter d 2 of the enlarged section is 0.35m and the outer diameter D of the cone is 0.35m, and the conventional section length L 1 of a single push tube is 1.8m and the enlarged section length L 2 is 0.2m; Take a typical soil sample from above and transport it back to the laboratory for an unconsolidated quick shear test. The cohesion c of the rock and soil is measured to be 3.7kPa and the internal friction angle
Figure PCTCN2021109421-appb-000006
12°; according to
Figure PCTCN2021109421-appb-000007
Further calculations show that the interface friction τ between the collapsed body and the outer wall of the push tube is 87.3kPa;
Figure PCTCN2021109421-appb-000008
After calculation, the number m of push pipes within the horizontal length L is 7.8, and the number n of complete pipes is 7.0; further, (mn)(L 1 +L 2 )=1.6m<L 1 =1.8m within the horizontal length L range The conventional segment length L 3 of the incomplete push tube is (mn) (L 1 + L 2 ) = 1.6m, and the expanded header length L 4 is 0; further, according to T 1 =πd 1 τnL 1, the conventional segment is calculated The required thrust T 1 is 1167.8kN, according to T 2 =πd 2 τnL 2 the required thrust T 2 for the enlarged section is 134.3kN, according to
Figure PCTCN2021109421-appb-000009
The required thrust T 3 of the cone is 60.9kN; the total thrust T required to push the tube is finally calculated to be 1363.0kN.

Claims (2)

  1. 一种地铁隧道塌方推管法抢险推力预测方法，其特征在于，步骤如下：A method for predicting the emergency thrust of a subway tunnel collapse by pipe pushing method, which is characterized in that the steps are as follows:
    (1)确定塌方体的高度H、重度γ，(1) Determine the height H and the severity γ of the collapsed body,
    根据隧道不良地质体的高度H 0，乘以岩土体松散系数1.1～1.3，得到塌方体的高度H，即H＝(1.1～1.3)H 0；在塌方体内取典型土样，利用环刀法测得塌方体密度，然后乘以重力加速度得到塌方体重度γ； According to the height H 0 of the poor geological body of the tunnel, multiply it by the looseness coefficient of rock and soil from 1.1 to 1.3 to obtain the height of the landslide H, namely H = (1.1 to 1.3) H 0 ; take a typical soil sample in the landslide and use a ring knife Measure the density of the collapsed body by the method, and then multiply it by the acceleration of gravity to obtain the gravity of the collapsed body γ;
    (2)确定推管中心轴线离隧道底部的距离H 1， (2) Determine the distance H 1 from the center axis of the push tube to the bottom of the tunnel,
    为方便施工，通常H 1位于1.0～3.0m之间； To facilitate construction, H 1 is usually located between 1.0 and 3.0m;
    (3)确定推管中心轴线处滑塌体的水平长度L，(3) Determine the horizontal length L of the sliding body at the central axis of the push tube,
    根据物探、钻探方法或估计法确定出推管中心轴线处滑塌体的水平长度L；Determine the horizontal length L of the landslide body at the central axis of the push tube according to the geophysical prospecting, drilling method or estimation method;
    (4)确定推管的常规段外径d 1、扩大段外径d 2和锥头外径D，以及单根推管的常规段长度L 1和扩大段长度L 2， (4) determining the outer diameter of a conventional push tube segment d 1, d 2 and the outer diameter of the enlarged section cone outer diameter D, and a conventional single push tube length L 1 and expanded length L 2,
    这些数据均由对施工选择的推管进行测量得到；These data are all obtained by measuring the push pipe selected for construction;
    (5)确定塌方体的粘聚力c和内摩擦角
    Figure PCTCN2021109421-appb-100001
    (5) Determine the cohesion c and internal friction angle of the landslide
    Figure PCTCN2021109421-appb-100001
    在塌方体上取典型土样，运回实验室进行不固结快剪试验，测得岩土体的粘聚力c和内摩擦角
    Figure PCTCN2021109421-appb-100002
    Take a typical soil sample from the collapsed body and transport it back to the laboratory for an unconsolidated quick shear test. The cohesion c and internal friction angle of the rock and soil are measured
    Figure PCTCN2021109421-appb-100002
    (6)确定塌方体与推管外壁之间的界面摩擦力τ，(6) Determine the interface friction τ between the collapsed body and the outer wall of the push tube,
    Figure PCTCN2021109421-appb-100003
    Figure PCTCN2021109421-appb-100003
    (7)确定水平长度L范围内的推管根数m和完整根数n，(7) Determine the number of push tubes m and the number of complete tubes n within the range of the horizontal length L,
    Figure PCTCN2021109421-appb-100004
    Figure PCTCN2021109421-appb-100004
    其中，int为取整数函数；Among them, int is an integer function;
    (8)确定水平长度L范围内的非完整推管的常规段长度L 3和扩大头段长度L 4， (8) Determine the normal section length L 3 and the expanded head section length L 4 of the incomplete push tube within the horizontal length L range,
    若(m-n)(L 1+L 2)＜L 1，则L 3＝(m-n)(L 1+L 2)，L 4＝0；否则，L 3＝L 1，L 4＝(m-n)(L 1+L 2)-L 1； If (mn)(L 1 +L 2 )<L 1 , then L 3 =(mn)(L 1 +L 2 ), L 4 =0; otherwise, L 3 =L 1 , L 4 =(mn)( L 1 +L 2 )-L 1 ;
    (9)确定常规段所需的推力T 1、扩大段所需的推力T 2和锥头所需的推力T 3， (9) Determine the thrust T 1 required for the conventional section, the thrust T 2 required for the expanded section, and the thrust T 3 required for the cone,
    T 1＝πd 1τnL 1， T 1 =πd 1 τnL 1 ,
    T 2＝πd 2τnL 2， T 2 =πd 2 τnL 2 ,
    Figure PCTCN2021109421-appb-100005
    Figure PCTCN2021109421-appb-100005
    (10)确定推管所需的总推力T；(10) Determine the total thrust T required to push the tube;
    T＝T 1+T 2+T 3。 T=T 1 +T 2 +T 3 .
  2. 根据权利要求1所述的一种地铁隧道塌方推管法抢险推力预测方法，其特征在于，塌方体的高度H还可以根据物探、钻探方法或估计法在地面上对塌方体进行竖直勘探测得。The method for predicting the emergency thrust of a subway tunnel collapse pipe push method according to claim 1, wherein the height H of the collapsed body can also be measured vertically on the ground according to geophysical prospecting, drilling methods or estimation methods. have to.
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