CN110874512B - Energy consumption-based shield tunneling machine tunneling efficiency calculation method - Google Patents
Energy consumption-based shield tunneling machine tunneling efficiency calculation method Download PDFInfo
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- CN110874512B CN110874512B CN201911158974.1A CN201911158974A CN110874512B CN 110874512 B CN110874512 B CN 110874512B CN 201911158974 A CN201911158974 A CN 201911158974A CN 110874512 B CN110874512 B CN 110874512B
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- 230000005641 tunneling Effects 0.000 title claims abstract description 80
- 238000005265 energy consumption Methods 0.000 title claims abstract description 27
- 238000004364 calculation method Methods 0.000 title claims abstract description 18
- 239000002689 soil Substances 0.000 claims abstract description 62
- 238000000034 method Methods 0.000 claims abstract description 19
- 230000035515 penetration Effects 0.000 claims abstract description 12
- 230000008569 process Effects 0.000 claims abstract description 12
- 238000007789 sealing Methods 0.000 claims description 12
- 230000005484 gravity Effects 0.000 claims description 11
- 230000001133 acceleration Effects 0.000 claims description 5
- 238000009933 burial Methods 0.000 claims description 3
- 238000010276 construction Methods 0.000 abstract description 17
- 238000004904 shortening Methods 0.000 abstract description 2
- 238000003756 stirring Methods 0.000 description 9
- 230000003111 delayed effect Effects 0.000 description 2
- 238000010586 diagram Methods 0.000 description 2
- 238000013507 mapping Methods 0.000 description 2
- 230000004048 modification Effects 0.000 description 2
- 238000012986 modification Methods 0.000 description 2
- 238000005192 partition Methods 0.000 description 2
- 230000009467 reduction Effects 0.000 description 2
- 239000004576 sand Substances 0.000 description 2
- 238000009412 basement excavation Methods 0.000 description 1
- 230000009286 beneficial effect Effects 0.000 description 1
- 239000004927 clay Substances 0.000 description 1
- 230000008878 coupling Effects 0.000 description 1
- 238000010168 coupling process Methods 0.000 description 1
- 238000005859 coupling reaction Methods 0.000 description 1
- 238000007599 discharging Methods 0.000 description 1
- 238000011156 evaluation Methods 0.000 description 1
- 230000006872 improvement Effects 0.000 description 1
- 230000007246 mechanism Effects 0.000 description 1
- 238000012544 monitoring process Methods 0.000 description 1
- 239000002893 slag Substances 0.000 description 1
Classifications
-
- E—FIXED CONSTRUCTIONS
- E21—EARTH 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
- E21D9/06—Making by using a driving shield, i.e. advanced by pushing means bearing against the already placed lining
Abstract
The invention discloses a shield tunneling machine tunneling efficiency calculation method based on energy consumption, and belongs to the technical field of shield tunneling machines. The invention comprises the following steps: establishing an energy consumption model in unit time based on the total thrust, cutter torque and cutter penetration of a shield tunneling process, wherein the cutter penetration is the ratio of the pushing speed of the shield tunneling machine to the rotating speed of the cutter; and dividing the cutting soil quantity per unit time by the energy consumption per unit time to calculate the tunneling efficiency. The invention clearly gives out the functional relation between the tunneling efficiency of the shield machine and the control parameter, can accurately calculate the tunneling efficiency, has important engineering guidance significance for optimizing the control parameter, improving the construction efficiency and shortening the construction period, and achieves the purposes of safe and efficient construction.
Description
Technical Field
The invention relates to the technical field of shield machines, in particular to a shield machine tunneling efficiency calculation method based on energy consumption.
Background
The shield machine is widely applied to various underground tunneling construction projects, such as various tunnel projects of subways, highways, railways and the like. The shield tunneling system mainly comprises a propulsion system, a cutterhead system, a slag discharging system, a segment assembling system, a rear supporting system and the like, wherein the cutterhead system and the propulsion system are responsible for cutting soil and pushing the shield, and the consumption energy is the greatest. Because the geological conditions are complex and changeable, the tunneling process mechanism is complex, and the tunneling efficiency of the shield machine is the coupling result of the geological characteristics and the construction control parameters. If the construction parameters are controlled improperly, the construction period is delayed, and safety accidents are caused. Therefore, on the premise of ensuring construction safety, a perfect evaluation method of the tunneling efficiency of the shield machine is necessary to be established so as to reveal the mapping relation between the tunneling efficiency and the control parameters and geological parameters and provide references for optimizing and setting the tunneling control parameters of the shield machine.
At present, the tunneling efficiency of the shield machine is directly estimated only based on the acquired construction data, and a perfect tunneling efficiency calculation model is not available for revealing the mapping relation between the tunneling efficiency and the control parameters and the geological parameters. The calculation accuracy of the tunneling efficiency is reduced, the construction period is delayed, and even safety accidents are caused due to improper tunneling parameter control.
Disclosure of Invention
In view of the above, the present invention provides a method for calculating the tunneling efficiency of a shield tunneling machine based on energy consumption in order to solve the above technical drawbacks.
The technical scheme adopted by the invention is as follows:
a shield tunneling efficiency calculation method based on energy consumption comprises the following steps:
(1) Establishing an energy consumption model in unit time based on the total thrust, cutter torque and cutter penetration of a shield tunneling process, wherein the cutter penetration is the ratio of the shield tunneling speed to the cutter rotating speed, and the unit time is 1 minute;
(2) And dividing the cutting soil quantity per unit time by the energy consumption per unit time to calculate the tunneling efficiency.
Further, the total thrust model is:
wherein mu is 1 The friction coefficient between the shield body and the surrounding soil body is gamma, the soil body volume weight, g is the gravity acceleration, k 0 Is soil lateral pressure coefficient, H is shield tunneling machine burial depth, D is shield tunneling machine diameter, mu 2 Is the friction coefficient between the shield tail sealing brush and the duct piece, n 1 G is the number of rings of the segments in the shield tail s For the self gravity of each segment, n 2 The number of layers of the shield tail sealing brush is D S The outer diameter of the tube piece, l is the contact length between the sealing brush and the tube ring, and p T Pressure, mu, of the sealing brush 3 G is the friction coefficient between the rear matched trolley and the track C G is the self gravity of the shield machine, c is the cutter head opening rate, h is the distance from the axis of the shield machine to the ground, and p 0 To seal the earth pressure in the cabin.
The cutter torque model is as follows:
T＝μγHπ[(1+λ-λc)D 3 k 0 /12+(1+k 0 )D 2 L/4]+D 2 V a q/8V c +μγH 0 D s L s R s
wherein mu isThe friction coefficient between the cutterhead and the soil body, D is the diameter of the cutterhead, and k is the diameter of the cutterhead 0 And gamma is the soil mass volume weight, H is the distance from the central axis of the cutterhead to the earth surface, and L is the width of the outer edge of the cutterhead.
The energy consumption model per unit time is as follows:
in the formula, xi is the penetration degree of the cutterhead, and xi=v a /V c ，V a For propulsion speed, V c Is the revolving speed of the cutterhead.
Further, the calculation formula of the tunneling efficiency is:
wherein eta is tunneling efficiency, R is cutter head radius, V a E is the energy consumption per unit time for propulsion speed.
Compared with the prior art, the invention has the beneficial effects that:
the shield tunneling efficiency calculation method based on the energy consumption, provided by the invention, not only considers the energy consumption of the shield tunneling machine, but also considers the construction efficiency, and the functional relation between the tunneling efficiency and the construction control parameters including the propulsion speed and the cutter head rotating speed is definitely provided, so that the calculation precision of the tunneling efficiency is improved, and the method has important engineering guidance significance for optimizing the control parameters, improving the construction efficiency and shortening the construction period, thereby achieving the purposes of safe and efficient construction.
Drawings
FIG. 1 is a flow chart of a method for calculating the tunneling efficiency of a shield tunneling machine based on energy consumption, which is provided by the embodiment of the invention;
FIG. 2 is a schematic diagram of the force applied during the tunneling process of the shield machine.
Detailed Description
Exemplary embodiments of the present disclosure will be described in more detail below with reference to the accompanying drawings. While exemplary embodiments of the present disclosure are shown in the drawings, it should be understood that the present disclosure may be embodied in various forms and should not be limited to the embodiments set forth herein. Rather, these embodiments are provided so that this disclosure will be thorough and complete, and will fully convey the scope of the disclosure to those skilled in the art. It is to be noted that unless otherwise defined, technical and scientific terms used herein have the same meaning as commonly understood by one of ordinary skill in the art to which this invention belongs; it should be specifically noted that the shield tunneling machine in the present invention may be simply referred to as a shield tunneling machine.
The embodiment of the invention provides a shield tunneling machine tunneling efficiency calculation method based on energy consumption, as shown in fig. 1, comprising the following steps:
101. and establishing an energy consumption model in unit time based on the total thrust, the cutter torque and the cutter penetration of the shield tunneling process, wherein the cutter penetration is the ratio of the pushing speed of the shield tunneling machine to the rotating speed of the cutter, and the unit time is 1 minute.
1011. The total thrust is calculated as follows.
In the tunneling process of the shield tunneling machine, the physical process of the shield tunneling machine according to the mechanical principle can be expressed by the following formula: f- (F) f +F p ) In the formula, F is the total thrust of the shield machine, F f Is backward resistance, comprising friction force between shield body and surrounding soil mass and resistance formed by rear matched equipment, F p The soil resistance generated by the front face of the shield machine during tunneling is represented by m, the mass of the shield machine is represented by a, and the acceleration of the shield machine during tunneling is represented by a. During the shield advance, the acceleration is 0, i.e. a=0, since the advance speed is very slow and can be considered as uniform motion. So there are: f=f f +F p Namely, the total thrust of the shield tunneling machine is equal to the sum of the resistance of soil in front of a cutterhead and the backward resistance of the shield body during tunneling, and the mechanical diagram of the tunneling process is shown in figure 2.
Further, the backward resistance F generated in the shield tunneling process f Comprising the following steps: frictional resistance F generated by shield body and surrounding soil body 1 Resistance F generated by friction between the rear half part of the shield machine and the duct piece 2 Resistance F generated when a matched vehicle behind the shield machine conveys dregs 3 Shield shieldFrictional resistance F generated by self gravity of machine 4 I.e. F f ＝F 1 +F 2 +F 3 +F 4 Wherein F is 1 、F 2 、F 3 、F 4 The specific calculation method is as follows.
(1) Frictional resistance F generated by shield body and surrounding soil body 1
The self weight of the soil body generates pressure on the surface of the shield, so that frictional resistance is generated in the tunneling process of the shield machine, wherein the frictional resistance comprises vertical soil pressure and lateral soil pressure. Because the excavation surface of the shield machine is a circular section, the vertical soil pressure and the lateral soil pressure are considered to be symmetrical up and down and left and right. Therefore, in the invention, the vertical and lateral soil pressure is calculated within the range of 0-pi/2, and then multiplied by 4 to obtain the total pressure of the shield surface. The vertical soil pressure acting on the shield body is:wherein P is V The vertical soil pressure is gamma, the soil mass weight is gamma, g is gravity acceleration, H is the burial depth of the shield machine, and D is the diameter of the shield machine. The lateral soil pressure acting on the shield body is as follows: />Wherein P is H Is the lateral soil pressure, k 0 Is the soil side pressure coefficient. Therefore, the total pressure applied to the shield surface is: />Therefore, the frictional resistance between the shield body and surrounding soil can be obtained as follows: />Wherein mu is 1 For the friction coefficient between the shield body and the surrounding soil body, other parameters have the same meaning as those in the above formula, and will not be described herein.
(2) Resistance F generated by friction between tail part of shield machine and segment 2
The resistance generated by friction between the tail part of the shield tunneling machine and the duct piece is as follows: f (F) 2 ＝μ 2 n 1 G s +μ 2 n 2 πD S lp T Mu, in 2 Is the friction coefficient between the shield tail sealing brush and the duct piece, n 1 G is the number of rings of the segments in the shield tail s For the self gravity of each segment, n 2 The number of layers of the shield tail sealing brush is D S The outer diameter of the tube piece, l is the contact length between the sealing brush and the tube ring, and p T Is the pressure of the sealing brush.
(3) Traction resistance F of rear supporting vehicle of shield machine 3
The traction resistance of the rear supporting vehicle of the shield machine is as follows: f (F) 3 ＝μ 3 G C Mu, in 3 G is the friction coefficient between the rear matched trolley and the track C Is self gravity of the rear matched vehicle.
(4) Friction resistance F generated by self weight of shield machine 4
The friction resistance generated by the dead weight of the shield tunneling machine is as follows: f (F) 4 ＝μ 1 And G, wherein G is the gravity of the shield tunneling machine.
The backward resistance of the shield machine in the tunneling process can be calculated according to the deduction:
further, the tunneling resistance F of the front face of the cutterhead p Pressure F acting on the cutterhead face for the front soil p1 And the pressure F acting on the pressure-bearing partition plate of the sealed cabin through the opening part of the cutter head p2 And (3) summing. The front soil pressure born by the cutterhead panel is as follows: f (F) p1 ＝πD 2 k 0 hgamma (1-c)/4, wherein F p1 And c is the cutter head opening ratio, and h is the distance from the axis of the shield machine to the ground. The pressure of the soil body at the opening part of the cutter head acting on the pressure-bearing partition plate is as follows: f (F) p2 ＝πD 2 p 0 c/4, wherein p 0 The soil pressure in the sealed cabin can be obtained by monitoring the pressure sensor in the sealed cabin in real time. Thus, the resistance of soil in front of the front face of the cutter head during the driving of the shield machine can be obtainedThe method comprises the following steps: f (F) p ＝F p1 +F p2 ＝πD 2 k 0 hγ(1-c)/4+πD 2 p 0 c/4。
Finally, the total thrust of the shield machine can be calculated according to the deduction:
1012. the cutter torque is calculated by the following method.
The cutter torque mainly comprises: friction resistance torque T between front face of cutterhead and soil body 1 Soil friction resistance torque T between back of cutterhead and inside of sealed cabin 2 Friction resistance moment T between side face of cutterhead and soil body 3 Cutting torque T generated by resistance force from soil body when cutter cuts soil body 4 Resistance moment T generated when soil in cabin is stirred by cutterhead stirring rod 5 I.e.
Further, T 1 、T 2 、T 3 、T 4 、T 5 The following method was used for calculation.
(1) Torque T formed by friction between front surface of cutterhead and soil body 1
The torque formed by friction between the front surface of the cutter disc and soil is as follows: t (T) 1 ＝μπD 3 k 0 Gamma H/12, wherein mu is the friction coefficient between the cutterhead and soil body, D is the diameter of the cutterhead and k 0 The soil side pressure coefficient, gamma is the soil volume weight, and H is the distance from the central axis of the cutterhead to the earth surface.
(2) Torque T formed by friction between the back of cutter head and soil 2
In actual construction, the sealed cabin is not fully filled with soil, and the friction coefficient of the soil is smaller than that of the front of the cutterhead, so that T is calculated 2 When multiplying by the reduction coefficient lambda, T 2 ＝λμπD 3 k 0 Gamma H (1-c)/12, wherein c is the cutter head opening ratio.
The reduction coefficient λ is generally 0.6-0.8, and further, λ is 0.8 when clay is used as geology, 0.7 when silt is used as silt, and 0.6 when sand is used as sand.
(3) Torque T formed by friction between the side surface of cutter head and soil body 3
The torque formed by friction between the side face of the cutter disc and the soil body is as follows: t (T) 3 ＝μπD 2 (1+k 0 ) Gamma HL/4, wherein L is the width of the outer edge of the cutterhead.
(4) Cutting torque T of cutterhead 4
The cutting torque of the cutterhead is as follows: t (T) 4 ＝D 2 V a q/8V c Wherein q is the uniaxial shear strength of the soil body.
(5) Stirring torque T of cutter head stirring rod 5
Soil body cut by a cutter on the cutter head enters the sealed cabin through an opening of the cutter head, is stirred into soil body in a plastic state by a stirring rod in the cutter head, and the resistance moment generated when the soil body is stirred is the stirring torque T 5 The method specifically comprises the following steps: t (T) 5 ＝μγH 0 D s L s R s Wherein H is 0 The earthing depth of the stirring rod is D s Diameter of stirring surface L s Length of stirring rod, R s Is the distance from the bottom of the stirring rod to the central axis of the shield tunneling machine.
The total torque of the cutterhead can be obtained through the deduction:
T＝T 1 +T 2 +T 3 +T 4 +T 5
＝μγHπ[(1+λ-λc)D 3 k 0 /12+(1+k 0 )D 2 L/4]+D 2 V a q/8V c +μγH 0 D s L s R s
1013. the penetration of the cutterhead is the cutting depth of each rotation of the cutterhead, and the cutting depth can be calculated by the following formula: ζ=v a /V c In which, xi is the penetration degree of the cutterhead, V a For propulsion speed, V c Is the revolving speed of the cutterhead.
Finally, the energy consumption model of the shield machine per unit time is deduced by 1011, 1012 and 1013 as follows:
the unit time referred to in the present invention is 1 minute.
102. And dividing the cutting soil quantity per unit time by the energy consumption per unit time to calculate the tunneling efficiency.
The shield tunneling efficiency is the cutting soil quantity in unit time divided by the energy consumption in unit time, and the concrete calculation formula is as follows:wherein eta is tunneling efficiency, R is cutter head radius, V a For propulsion speed, E is the energy consumption per unit time, which has been calculated above.
In actual engineering, the shield tunneling efficiency can be calculated by obtaining the related shield tunneling machine parameters, geological parameters and construction control parameters and substituting the parameters into the efficiency calculation formula.
It should be noted that the above-mentioned embodiments illustrate rather than limit the invention, and that various modifications and changes will be apparent to those skilled in the art. Any modification, equivalent replacement, improvement, etc. made within the spirit and principle of the present invention should be included in the protection scope of the present invention.
Claims (2)
1. The energy consumption-based shield tunneling machine tunneling efficiency calculation method is characterized by comprising the following steps of:
establishing an energy consumption model in unit time based on the total thrust, cutter torque and cutter penetration of a shield tunneling process, wherein the cutter penetration is the ratio of the pushing speed of the shield tunneling machine to the rotating speed of the cutter, and the unit time is 1 minute;
dividing the cutting soil amount in unit time by the energy consumption in unit time to calculate tunneling efficiency;
wherein, the total thrust model is: wherein mu 1 The friction coefficient between the shield body and the surrounding soil body is gamma, the soil body volume weight, g is the gravity acceleration, k 0 Is soil lateral pressure coefficient, H is shield tunneling machine burial depth, D is shield tunneling machine diameter, mu 2 Is the friction coefficient between the shield tail sealing brush and the duct piece, n 1 G is the number of rings of the segments in the shield tail s Self gravity of each segment, n 2 The number of layers of the shield tail sealing brush is D S The outer diameter of the tube piece, l is the contact length between the sealing brush and the tube ring, and p T Pressure, mu, of the sealing brush 3 G is the friction coefficient between the rear matched trolley and the track C G is the self gravity of the shield machine, c is the cutter head opening rate, h is the distance from the axis of the shield machine to the ground, and p 0 Is the soil pressure in the sealed cabin; the cutter torque model is as follows: t=μγnpi [ (1+λ - λc) M 3 k 0 /12+(1+k 0 )M 2 L/4]+M 2 V a q/8V c +μγH 0 D s L s R s Wherein mu is the friction coefficient between the cutterhead and the soil body, M is the diameter of the cutterhead, and k is the diameter of the cutterhead 0 The soil lateral pressure coefficient is gamma, the soil volume weight is gamma, N is the distance between the central axis of the cutterhead and the earth surface, and L is the width of the outer edge of the cutterhead; the energy consumption model per unit time is as follows: /> Wherein ζ is the penetration of the cutterhead, ζ=v a /V c ，V a For propulsion speed, V c Is the revolving speed of the cutterhead.
2. The energy consumption-based shield tunneling machine tunneling efficiency calculation method according to claim 1, wherein the tunneling efficiency calculation formula is:wherein eta is tunneling efficiency, R is cutter radius, V a E is the energy consumption per unit time for propulsion speed.
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| CN111881549A (en) * | 2020-06-16 | 2020-11-03 | 中建五局土木工程有限公司 | Method for determining daily tunneling yield and construction period of viscous soil layer soil pressure balance shield |
| CN112593959B (en) * | 2020-11-18 | 2023-04-07 | 浙大宁波理工学院 | Impedance control-based shield tunneling machine compliance control method |
| CN113283106B (en) * | 2021-06-10 | 2024-02-13 | 中铁九局集团有限公司 | Method for predicting influence of pipe jacking tunneling machine construction on safety of overlying pipeline |
| CN113420482B (en) * | 2021-06-24 | 2022-07-05 | 北京安捷工程咨询有限公司 | Segment load orthogonal numerical inversion method based on structural internal force monitoring value |
| CN117108294B (en) * | 2023-10-16 | 2024-01-12 | 山东济矿鲁能煤电股份有限公司阳城煤矿 | Intelligent monitoring system for faults of shield tunneling machine |
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