CN110059448A - A kind of shield tunneling face Ground surface settlement method considering the deformation of cutterhead Squeezing Ground - Google Patents

A kind of shield tunneling face Ground surface settlement method considering the deformation of cutterhead Squeezing Ground Download PDF

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CN110059448A
CN110059448A CN201910427363.6A CN201910427363A CN110059448A CN 110059448 A CN110059448 A CN 110059448A CN 201910427363 A CN201910427363 A CN 201910427363A CN 110059448 A CN110059448 A CN 110059448A
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cutterhead
shield
annulus
spoke
infinitesimal
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瞿同明
王树英
王海波
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Central South University
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Abstract

The invention discloses a kind of shield tunneling face Ground surface settlement methods of consideration cutterhead Squeezing Ground deformation, by carrying out model simplification and annulus differential process to shield cutter, soil deformation volume caused by any position soil body extrusion time suffered in the normal tunneling process of shield, extrusion and displacement and cutterhead squeeze in front of cutterhead is able to by boring parameters quantitative expressions such as cutterhead revolving speed, shield tunneling speed.The extrusion deformation as a key factor for influencing ground settlement, it is uneven into casting with shield caused by together with out break Stratum Loss, improve the ability of classical Peck formula ground settlement at excavation face in prediction shield tunneling process.The present invention is suitable for the circular beater plate of any pattern, and implementation process is clearly simple, the precision of prediction that shield tunneling causes ground settlement can be further increased under existing Computational frame, and provide foundation for the Precise control of shield.

Description

A kind of shield tunneling face Ground surface settlement method considering the deformation of cutterhead Squeezing Ground
Technical field
The invention belongs to shield tunnel project field more particularly to a kind of shield tunnelings for considering the deformation of cutterhead Squeezing Ground Face Ground surface settlement method.
Background technique
Shield is economical quick thus extensive due to its comparatively safe environmental protection of constructing as a kind of professional tunnel digging equipment Applied in urban tunnel construction.However, the hydrogeological encountered while shield tunnel fast development and periphery Environment more sophisticated, accident caused by shield-tunneling construction are commonplace.Wherein, the deformation of earth's surface caused by tunnel excavation is applied as shield The key problem controlled needed for work is widely noticed for a long time but seldom comes to a conclusion.
It can be three parts from the ground settlement first and last, occurred in shield tunneling process, comprising: (1) when arrival The deformation of excavation face earth's surface: when excavation face is closer apart from observation point, since excavation face soil body off-load (stress release) makes ground Sedimentation or support pressure occur for layer and thrust is excessive so that excavation face stratum is swelled, mainly by shield into casting boring parameter Matching and native storehouse In-pit dumping state cause;(2) shield by when the ground settlement that occurs: refer to since cutterhead until shield tail is logical Generated sedimentation during crossing observation point, comprising: shield shell generates shearing to the fricting shearing disturbance of soil and becomes during shield driving Shape, shield rectifies a deviation, turns, kowtowing etc. cause snakelike posture, soil layer disturbance, relaxation after fall to excavate in space stratum caused to be damaged The pre-large post-small conical design of shield machine of becoming estranged to generate gap between stratum and shield shell;(3) shield tail gap settles: shield tail abjection Afterwards, synchronous grouting and secondary grouting slurries fail to fill out shrinks full of shield tail gap and the condensation of later period slurries in time, and soil body slump is filled out It fills gap and causes stratum settlement.In this three parts stratum settlement, straightway shield when passing through generated stratum settlement (2) compared with It is few;The stratum settlement (3) that shield tail gap generates is affected by formation properties and synchronous grouting level, and filling mud jacking is timely, Under mud jacking amount abundance or pressure situation appropriate, sedimentation caused by shield tail gap is also limited.In entire tunneling process, shield is arrived Up to when excavation face cause ground settlement (1) to be the main source and core control object of whole earth's surface deformation.
Ground settlement caused by excavation face front, is mainly derived from two parts: during (A) shield-tunneling construction when arrival Into casting it is uneven caused by Stratum Loss amount, i.e., as into the Stratum Loss amount for not considering stratum deformation caused by casting;(B) by The formation volume compression caused by cutterhead squeezes and support pressure is excessive, or since support pressure is too small, reservoir stress release Caused volume is bulk.
Chinese invention patent 201610707226.4 discloses a kind of earth pressure balanced shield, EPBS Tu Cang into earth's surface caused by casting Settlement prediction method, the patent establish shield into casting boring parameter and do not consider to determine between the Stratum Loss of stratum deformation Magnitude relation by that can calculate the Stratum Loss amount of the every driving ring of shield into casting relevant parameter, and is estimated by Peck formula Ground settlement caused by corresponding Stratum Loss, above-mentioned (A) problem of very good solution.But the patent fails to consider above-mentioned (B) Partial influence fails to consider the influence that deforms to earth's surface of soil body stereomutation during shield tunneling.
Summary of the invention
The application aims to solve at least one of problems of the prior art.For this purpose, it is an object of the present invention to A kind of shield tunneling face Ground surface settlement method of consideration cutterhead Squeezing Ground deformation is provided.
In order to solve the above technical problems, the application adopts the following technical scheme that
A kind of shield tunneling face Ground surface settlement method considering the deformation of cutterhead Squeezing Ground, includes the following steps:
(1) cutterhead model foundation;
(2) cutterhead model is radially discrete for a series of sequentially connected annulus infinitesimals;
(3) classification and marking is carried out to annulus infinitesimal
The region that panel or spoke are corresponded on annulus infinitesimal is defined as Pij;PijRepresent jth on i-th of annulus infinitesimal Block panel or spoke region;The width of jth block panel or spoke region is defined as W on i-th of annulus infinitesimalij
(4) cutterhead rotates compression time suffered by the soil body of front in weekly during calculating shield tunneling
For cutter head center region, the cutterhead front soil body is by jth block panel or spoke region P on i-th of annulus infinitesimalij The time t of extrudingijIt is equal to:
For the soil body other than cutter head center region, in front of cutterhead the soil body by jth block panel on i-th of annulus infinitesimal or Spoke region PijThe time t of extrudingijIt is equal to:
Wherein, w is cutterhead revolving speed, and R is the radius of cutterhead, R1For cutter head center zone radius, r is i-th of annulus infinitesimal Internal diameter, π is pi;
(5) compression displacement suffered by the soil body of cutterhead front during calculating shield tunneling
For cutter head center region, the cutterhead front soil body is by jth block panel or spoke region P on i-th of annulus infinitesimalij Maximum compression caused by compressing is displaced dijAre as follows:
For the soil body other than cutter head center region, in front of cutterhead the soil body by jth block panel on i-th of annulus infinitesimal or Spoke region PijMaximum displacement d caused by compressingijAre as follows:
Wherein, v is shield driving speed;
(6) during calculating shield tunneling, the soil body is because of volume compression amount caused by squeezing in front of cutterhead:
The soil body is by jth block panel or spoke region P on i-th of annulus differential in front of cutterheadijVolume pressure caused by squeezing Contracting amount calculation formula is as follows:
Volume compression amount caused by then the soil body is squeezed by all panels on i-th of annulus differential or spoke in front of cutterhead is total It is as follows with calculation formula:
Wherein: dr is the width of annulus infinitesimal;J is the total quantity of i-th annulus differential top panel and spoke;
By calculating soil body volume compression caused by all annulus differential top panels or spoke region extruding in front of cutterhead The sum of amount, namely volume compression amount caused by annulus differential is integrated in radius, entire cutterhead extrusion soil can be obtained and drawn The volume compression amount V risenpAre as follows:
(7) total Stratum Loss V caused by shield tunneling is calculatedL
(8) inverse ground settlement groove width
In conjunction with Stratum Loss value and actual measurement ground settlement value is calculated, pass through formula (8) inverse ground settlement groove width i:
Wherein: SmaxFor earth's surface maximum settlement value;I is ground settlement groove width;
(9) ground settlement occurred at excavation face in shield tunneling process is calculated
When establishing shield lower ring driving by formula (9), it is contemplated that under cutterhead extrusion soil deformation, driving ginseng Ground surface settlement formula caused by number:
Wherein, x is the horizontal distance on cross section (section vertical with shield driving direction) apart from tunnel central axis, S (x) is that apart from tunnel, central axis horizontal distance is the ground settlement value of x position on cross section.
Further, Stratum Loss V caused by shield tunnelingL=Vloss+VP, soil body Volume Loss VlossBy the patent No. 201610707226.4 formula (4) in is calculated.
Further, it in a new P. drechsleri, computes repeatedly step (4) to step (9), iteration updates spiral transferring It send machine to be unearthed the boring parameters such as efficiency and ground settlement groove width, obtains new Ground surface settlement formula.
Further, the principle simplified during cutterhead model foundation are as follows: cutter of the removal other than shield central area, Retain cutter head panel, spoke and central cutter.
Compared with prior art, the beneficial effects of the present invention are: (1) this method be suitable for any pattern circular knife Disk;(2) quantitative relationship of cutterhead extrusion soil volume Yu the important boring parameter such as shield driving speed and cutterhead revolving speed is provided, Further foundation is provided for the Precise control of shield;(3) Stratum Loss amount caused by both having taken into account casting imbalance is provided, It is contemplated that the Stratum Loss calculation method deformed caused by cutterhead extrusion soil stratum;(4) classical Peck formula is improved to exist Predict the Ground surface settlement precision occurred at excavation face in shield tunneling process.
In conclusion the present invention is a kind of applied widely, the shield that computational accuracy is high, implementing procedure is clear and simple and practical Ground surface settlement method at excavation face in structure tunneling process.
Detailed description of the invention
Fig. 1 is the shield cutter rough schematic view;
Fig. 2 is the cutter head center region annulus differential expanded view;
Fig. 3 is the cutter head center with exterior domain annulus differential expanded view;
Fig. 4 is the cutter head center region soil body compression displacement schematic diagram;
Fig. 5 is the cutter head center with exterior domain soil body compression displacement schematic diagram;
Fig. 6 is spoke type shield cutter schematic diagram used in described No. 14 line running tunnels of Beijing Metro;
Fig. 7 is plate spoke shield cutter schematic diagram used in the Tunnel Engineering over strait of the Guangdong.
Specific embodiment
Following will be combined with the drawings in the embodiments of the present invention, and technical solution in the embodiment of the present invention carries out clear, complete Site preparation description, it is clear that described embodiments are only a part of the embodiments of the present invention, instead of all the embodiments.It is based on Embodiment in the present invention, it is obtained by those of ordinary skill in the art without making creative efforts every other Embodiment shall fall within the protection scope of the present invention.
Referring to figures 1-4, a kind of shield tunneling face Ground surface settlement method considering the deformation of cutterhead Squeezing Ground, including Following steps:
Step (1): cutterhead model foundation
As shown in Figure 1, the cutterhead pattern to specific shield engineering project carries out model simplification, cutterhead model is established, is simplified Principle are as follows: scraper of the removal other than shield central area, hobboing cutter, cutter, the cutters such as imitation-shaped knife retain panel, spoke and Central cutter (large scale fish tail knife, hobboing cutter etc.).
Step (2): annulus differential is taken to cutterhead model
Circular beater plate is divided into annulus infinitesimal, for each infinitesimal with a thickness of dr, annulus infinitesimal radius is r;If annulus infinitesimal Width dr is infinitely small, can be approximately length for 2 π r, width is the rectangle infinitesimal of dr after the expansion of infinitesimal annulus;
Step (3): classification and marking is carried out to annulus differential
As shown in Figure 1, being defined as P if annulus infinitesimal corresponding position on cutterhead is panel and spoke region;Each company Continuous panel or spoke domain is defined as Pij, represent jth block panel or spoke region on i-th of rectangle infinitesimal;Panel or The width of spoke region is defined as Wij, represent the continuous width of jth block panel or spoke region on i-th of rectangle infinitesimal. If annulus infinitesimal corresponding position on cutterhead is opening, it is defined as O;Each continuous panel or spoke domain are defined as Oik, generation Kth block is open on i-th of rectangle infinitesimal of table.
Note: for cutter head center region, it is assumed that large scale center fish tail knife or central hob group can be effectively by surroundings The soil body is scraped to be open into cutterhead, therefore the annulus differential in cutter head center region is as shown in Fig. 2, cutter head center is micro- with the annulus of exterior domain Divide as shown in Figure 3.
Step (4): cutterhead rotates compression time suffered by the soil body of front in weekly during calculating shield tunneling
When soil particle is located in front of panel or spoke, cutterhead starts the extruding of soil particle, until soil particle again Compression terminates when positioned at opening front;When soil particle just enters cutterhead opening in front of spoke or panel, original panel Or spoke can make soil particle quickly flow the pressure difference occurred rapidly between the extruding force and opening support pressure of soil particle It buries in storehouse.If shield driving speed is v, soil particle compression speed is equal to shield driving speed v.
For cutter head center region, the soil particle in front of cutterhead at cutter head center r (corresponds to i-th of annulus on cutterhead Infinitesimal), by jth block panel or spoke region (Pij) squeeze time tijIt is equal to:
Wherein, w is cutterhead revolving speed, and cutter head center zone radius is R1
For the soil body other than cutter head center region, the soil particle in front of cutterhead at cutter head center r is (on corresponding cutterhead I-th of annulus infinitesimal), by jth block panel or spoke region (Pij) squeeze time tijIt is equal to:
Step (5): compression displacement suffered by the soil body in front of cutterhead during calculating shield tunneling.When shield is normally tunneled, circle The amount of compression of the Zhou Qianfang soil body can be indicated that the amount of compression of panel or spoke is as shown in figure intermediate cam shape, opening portion circular arc by Fig. 4 Straight line in corresponding diagram.For cutter head center region, the cutterhead front soil body is by jth block panel or spoke on i-th of annulus infinitesimal Region (Pij) compress caused maximum compression displacement dijAre as follows:
As shown in figure 5, for the soil body other than cutter head center region, if cutter head center arrangement large scale fish tail knife or rolling Knife, the cutterhead front soil body is by jth block panel or spoke region (P on i-th of annulus infinitesimalij) compress caused maximum displacement dijAre as follows:
Step (6): during calculating shield tunneling, the soil body is because of volume compression amount caused by squeezing in front of cutterhead.Cutterhead Radius is R, then the cutterhead front soil body is by jth block panel or spoke (P on i-th of annulus differentialij) squeeze caused volume pressure Contracting amount can be calculated by the triangle in figure:
The then volume that the soil body is squeezed by i-th of annulus differential top panel or spoke region in front of cutterhead are as follows:
By calculate volume compression amount caused by the soil body is squeezed by all annulus differential top panels or spoke in front of cutterhead it With, namely volume compression amount caused by annulus differential is integrated in radius, volume caused by cutterhead extrusion soil can be obtained Decrement VpAre as follows:
Step (7): Stratum Loss caused by shield tunneling is calculated.According to Chinese invention patent (application number: 201610707226.4, patent name: a kind of earth pressure balanced shield, EPBS Tu Cang is into Ground surface settlement method caused by casting) it calculates Shield into casting it is uneven caused by soil body Volume Loss be Vloss;If VlossSo that earth's surface has Subsidence trend, it is believed that VlossFor Just;If VlossSo that earth's surface has protuberance trend, it is believed that VlossIt is negative.Then total Stratum Loss V caused by shield tunnelingLAre as follows:
VL=Vloss+VP (8)
Step (8): inverse ground settlement groove width.In the case where not generating cavity in stratum, caused by shield tunneling Stratum Loss is equal with earth's surface Stratum Loss.Therefore, corresponding ground settlement can be based on caused by shield tunneling as Peck formula Total Stratum Loss is VLIt calculates.In conjunction with Stratum Loss value and actual measurement ground settlement value is calculated, pass through formula (9) inverse ground settlement Groove width i:
Wherein: SmaxFor earth's surface maximum settlement value;I is ground settlement groove width (i.e. ground settlement curve symmetric axis to recurvation Horizontal distance between point);
Step (9): the ground settlement occurred at excavation face in shield tunneling process is calculated.Shield is established by formula (10) When the lower ring of structure tunnels, it is contemplated that under cutterhead extrusion soil deformation, Ground surface settlement formula caused by boring parameter:
Wherein, x is the horizontal distance on cross section (section vertical with shield driving direction) apart from tunnel central axis, S (x) is that apart from tunnel, central axis horizontal distance is the ground settlement value of x position on cross section.
Stratum Loss caused by step (7) described shield tunneling, both included during shield tunneling due into casting not The Stratum Loss for not including stratum deformation caused by balance, also includes the cubic deformation due to caused by cutterhead extrusion soil.
Step (8) the earth's surface Stratum Loss, refers under not drainage situation, the final settlement that earth's surface is formed after tunnel excavation Sump volume.
The Ground surface settlement formula occurred at excavation face in shield tunneling process described in step (9), shield is in every pick Into after a ring, because of formation parameter, buried depth and sediment improvement Parameters variation, calculating need to be re-started according to above-mentioned process, to protect Card Ground surface settlement formula has degree of precision.
The application is further described below in conjunction with specific embodiment.
Embodiment 1
The present embodiment is illustrated with spoke type shield cutter used in No. 14 line running tunnels of Beijing Metro.
A kind of shield tunneling face Ground surface settlement method considering the deformation of cutterhead Squeezing Ground, includes the following steps:
Step (1): simplify cutterhead model.For the Project Shield cutterhead actual disposition, removal shield central area with Outer scraper, hobboing cutter, cutter, the cutters such as imitation-shaped knife retain panel, spoke and center large scale fish tail knife, form cutterhead and calculate Schematic diagram is as shown in Figure 6.
Step (2): annulus differential is taken to cutterhead model.Circular beater plate is divided into annulus infinitesimal, each infinitesimal with a thickness of Dr, annulus infinitesimal radius are r;If annulus infinitesimal width dr is infinitely small, by infinitesimal annulus expansion after, can be approximately length be 2 π r, Width is the rectangle infinitesimal of dr.
Step (3): classification and marking is carried out to annulus differential.If annulus infinitesimal on cutterhead corresponding position be panel and Spoke region is defined as P;Each continuous panel or spoke domain are defined as Pij, represent jth block face on i-th of rectangle infinitesimal Plate or spoke;The length of panel or spoke is defined as Wij, represent jth block panel or spoke on i-th of rectangle infinitesimal Continuous length.If annulus infinitesimal corresponding position on cutterhead is opening, it is defined as O;Each continuous panel or spoke domain It is defined as Oik, represent kth block on i-th of rectangle infinitesimal and be open.
Step (4): during calculating shield tunneling, compression time suffered by the soil body in front of cutterhead.Before cutter head panel and spoke Necromancer body is unavoidably squeezed in digging process.When soil particle has just been located in front of panel or spoke, cutterhead is to soil particle Extruding start, until soil particle again be located at opening front when compression terminate;If shield forward speed is v, soil particle compression Speed is equal to shield forward speed v.If cutterhead revolving speed is w, spoke width perseverance is Ws, cutter head center zone radius is R1, because of cutterhead Center arrangement large scale fish tail knife, soil particle of the cutter head center region fore at cutter head center r is (i-th on corresponding cutterhead Annulus infinitesimal), by jth block panel or spoke (Pij) squeeze time tijIt is equal to:
For the soil body other than cutter head center region, the soil particle at cutter head center r (corresponds to i-th of circle on cutterhead Ring infinitesimal), by jth block panel or spoke (Pij) squeeze time tijIt is equal to:
Wherein, Ws1It is located at R for the radius of annulus infinitesimal1With R2Between when spoke width,
Ws2It is located at R for the radius of annulus infinitesimal2The width of spoke when between cutter radius R.
Step (5): during calculating shield tunneling, compression displacement suffered by the soil body in front of cutterhead.When shield is normally tunneled, because Cutter head center arranges large scale fish tail knife, and for cutter head center region, the cutterhead front soil body is by jth block on i-th of annulus infinitesimal Panel or spoke (Pij) compress caused maximum displacement dijAre as follows:
For the soil body other than cutter head center region, in front of cutterhead the soil body by jth block panel on i-th of annulus infinitesimal or Spoke (Pij) squeeze caused maximum displacement dijAre as follows:
Step (6): during calculating shield tunneling, the soil body is because of volume compression amount caused by squeezing in front of cutterhead.In cutterhead Heart zone radius is R1, it is R that spoke, which widens position radius,2, cutter radius R.Because cutter head center arranges large scale fish tail knife, then When shield is normally tunneled, volume compression amount V caused by cutterhead extrusion soilpAre as follows:
Step (7): Stratum Loss caused by shield tunneling is calculated.According to Chinese invention patent (application number: 201610707226.4, patent name: a kind of earth pressure balanced shield, EPBS Tu Cang is into Ground surface settlement method caused by casting) it calculates Shield into casting it is uneven caused by soil body Volume Loss be Vloss;If VlossSo that earth's surface has Subsidence trend, it is believed that VlossFor Just;If VlossSo that earth's surface has protuberance trend, it is believed that VlossIt is negative.Then Stratum Loss V caused by shield tunnelingLAre as follows:
VL=Vloss+VP (6)
Step (8): inverse ground settlement groove width.In the case where not generating cavity in stratum, caused by shield tunneling Stratum Loss is equal with earth's surface Stratum Loss.Therefore, corresponding ground settlement can be based on caused by shield tunneling as Peck formula Total Stratum Loss is VLIt calculates.In conjunction with Stratum Loss value and actual measurement ground settlement value is calculated, pass through formula (7) inverse ground settlement Groove width i:
Wherein: SmaxFor earth's surface maximum settlement value;I is ground settlement groove width (i.e. ground settlement curve symmetric axis to recurvation Horizontal distance between point);
Step (9): the ground settlement occurred at excavation face in shield tunneling process is calculated.It can be established by formula (8) When the lower ring of shield tunnels, it is contemplated that under cutterhead extrusion soil deformation, Ground surface settlement formula caused by boring parameter:
Wherein, x is the horizontal distance on cross section apart from tunnel central axis, and S (x) is on cross section apart from tunnel center Axis horizontal distance is the ground settlement value of x position.
Embodiment 2
Plate spoke shield cutter used illustrates when being built with Guangdong Tunnel Engineering over strait.
A kind of shield tunneling face Ground surface settlement method considering the deformation of cutterhead Squeezing Ground, includes the following steps:
Step (1): simplify cutterhead model.For the Project Shield cutterhead actual disposition, removal shield central area with Outer scraper, hobboing cutter, cutter, the cutters such as imitation-shaped knife retain panel, spoke and cutter head center hobboing cutter, form cutterhead calculation diagram As shown in Figure 7.
Step (2): annulus infinitesimal is taken to cutterhead, each infinitesimal is with a thickness of dr, and annulus is apart from center of circle r;By infinitesimal annulus exhibition It opens, is approximately length for 2 π r, width is the rectangle infinitesimal of dr.
Step (3): if annulus infinitesimal corresponding position on cutterhead is panel and spoke region, it is defined as P;It is each continuous Panel or spoke domain be defined as Pij, represent jth block panel or spoke on i-th of rectangle infinitesimal;Length is defined as Wij, Represent the continuous length of jth block panel or spoke on i-th of rectangle infinitesimal.If annulus infinitesimal corresponding position on cutterhead For opening, it is defined as O;Each continuous panel or spoke domain are defined as Oik, represent kth block on i-th of rectangle infinitesimal and be open.
Step (4): the soil body in cutterhead opening front, it is believed that soil pressure is equal to support pressure;In front of cutter head panel and spoke The soil body is unavoidably squeezed in digging process.When soil particle has just been located in front of panel, compression starts.The speed if shield is advanced Degree is v, and cutterhead revolving speed is w, and spoke width perseverance is Ws, cutter head center zone radius is R1, before soil particle compression speed is equal to shield Into speed v;The extrusion time of the cutter head center region soil body is calculated by formula (1).
For cutter head center position with exterior domain, the soil particle at cutter head center r (corresponds to i-th of annulus on cutterhead Infinitesimal), being divided to by the time that jth block panel or spoke squeeze to be two regions, according to the range of cutter radius, respectively by public affairs Formula (2) and formula (3) calculate.
Wherein, θ is to fan the corresponding central angle of annular panel as shown in Figure 5.
Step (5): when shield is normally tunneled, for the soil body in cutter head center region, by i-th of annulus infinitesimal on cutterhead, Maximum displacement d caused by jth block panel or spoke squeezeijAre as follows:
For cutter head center position with exterior domain, the soil particle at cutter head center r (corresponds to i-th of annulus on cutterhead Infinitesimal), it can be calculated by the displacement point that jth block panel or spoke squeeze for two parts, according to the range of cutter radius, press respectively Formula (5) and formula (6) calculate:
Step (6): during calculating shield tunneling, the soil body is because of volume compression amount caused by squeezing in front of cutterhead.If cutterhead Radius be R, when shield is normally tunneled, volume compression amount V caused by cutterhead extrusion soilpAre as follows:
Step (7): Stratum Loss caused by shield tunneling is calculated.According to Chinese invention patent (application number: 201610707226.4, patent name: a kind of earth pressure balanced shield, EPBS Tu Cang is into Ground surface settlement method caused by casting) it calculates Shield into casting it is uneven caused by soil body Volume Loss be Vloss;If VlossSo that earth's surface has Subsidence trend, it is believed that VlossFor Just;If VlossSo that earth's surface has protuberance trend, it is believed that VlossIt is negative.Total Stratum Loss V caused by shield tunneling can be calculatedLAre as follows:
VL=Vloss+VP (8)
Step (8): inverse ground settlement groove width.In the case where not generating cavity in stratum, caused by shield tunneling Stratum Loss is equal with earth's surface Stratum Loss.Therefore, corresponding ground settlement can be based on caused by shield tunneling as Peck formula Total Stratum Loss is VLIt calculates.In conjunction with Stratum Loss value and actual measurement ground settlement value is calculated, pass through formula (9) inverse ground settlement Groove width i:
Wherein: SmaxFor earth's surface maximum settlement value;I is ground settlement groove width (i.e. ground settlement curve symmetric axis to recurvation Horizontal distance between point);
Step (9): the ground settlement occurred at excavation face in shield tunneling process is calculated.It can be established by formula (10) When the lower ring of shield tunnels, it is contemplated that under cutterhead extrusion soil deformation, Ground surface settlement formula caused by boring parameter:
Wherein, x is the horizontal distance on cross section apart from tunnel central axis, and S (x) is on cross section apart from tunnel center Axis horizontal distance is the ground settlement value of x position.
Above-described embodiment is only to clearly demonstrate examples made by the present invention, rather than the restriction to embodiment.For For those of ordinary skill in the art, other various forms of variations or change can also be made on the basis of the above description It is dynamic.Here without can not be also exhaustive to all embodiments.And the obvious variation or change thus amplified out It is dynamic to be still in the protection scope of this invention.

Claims (4)

1. a kind of shield tunneling face Ground surface settlement method for considering the deformation of cutterhead Squeezing Ground, which is characterized in that including such as Lower step:
(1) cutterhead model foundation
(2) cutterhead model is radially discrete for a series of sequentially connected annulus infinitesimals
(3) classification and marking is carried out to annulus infinitesimal
The region that panel or spoke are corresponded on annulus infinitesimal is defined as Pij;PijRepresent jth block panel on i-th of annulus infinitesimal Or spoke region;The width of jth block panel or spoke region is defined as W on i-th of annulus infinitesimalij
(4) cutterhead rotates compression time suffered by the soil body of front in weekly during calculating shield tunneling
For cutter head center region, the cutterhead front soil body is by jth block panel or spoke region P on i-th of annulus infinitesimalijIt squeezes Time tijIt is equal to:
For the soil body other than cutter head center region, the cutterhead front soil body is by jth block panel or spoke on i-th of annulus infinitesimal Region PijThe time t of extrudingijIt is equal to:
Wherein, w is cutterhead revolving speed, and R is the radius of cutterhead, R1For cutter head center zone radius, r is the interior of i-th of annulus infinitesimal Diameter, WijThe width of jth block panel or spoke on i-th of annulus infinitesimal is represented, π is pi;
(5) compression displacement suffered by the soil body of cutterhead front during calculating shield tunneling
For cutter head center region, the cutterhead front soil body is by jth block panel or spoke region P on i-th of annulus infinitesimalijCompression Caused maximum compression is displaced dijAre as follows:
For the soil body other than cutter head center region, the cutterhead front soil body is by jth block panel or spoke on i-th of annulus infinitesimal Region PijMaximum displacement d caused by compressingijAre as follows:
Wherein, v is shield driving speed;
(6) during calculating shield tunneling, the soil body is because of volume compression amount caused by squeezing in front of cutterhead
The soil body is by jth block panel or spoke region P on i-th of annulus differential in front of cutterheadijVolume compression amount caused by squeezing Calculation formula is as follows:
Volume compression amount caused by then the soil body is squeezed by all panels on i-th of annulus differential or spoke region in front of cutterhead is total It is as follows with calculation formula:
Wherein: dr is the width of annulus infinitesimal;J is the total quantity of i-th annulus differential top panel and spoke;
By calculate volume compression amount caused by the soil body is squeezed by all annulus differential top panels or spoke region in front of cutterhead it With, namely volume compression amount caused by annulus differential is integrated in radius, caused by entire cutterhead extrusion soil can be obtained Volume compression amount VpAre as follows:
(7) total Stratum Loss V caused by shield tunneling is calculatedL=Vloss+VP, VlossFor soil body Volume Loss;
(8) inverse ground settlement groove width
In conjunction with Stratum Loss value and actual measurement ground settlement value is calculated, pass through formula (8) inverse ground settlement groove width i:
Wherein: SmaxFor earth's surface maximum settlement value;I is ground settlement groove width;
(9) ground settlement occurred at excavation face in shield tunneling process is calculated
When establishing shield lower ring driving by formula (9), it is contemplated that under cutterhead extrusion soil deformation, boring parameter draws The Ground surface settlement formula risen:
Wherein, x is horizontal distance apart from tunnel central axis on the section vertical with shield driving direction, and S (x) is and shield On the vertical cross section of tunneling direction apart from tunnel central axis horizontal distance be x position ground settlement value.
2. prediction technique according to claim 1, which is characterized in that soil body Volume Loss VlossBy the patent No. 201610707226.4 formula (4) in is calculated.
3. prediction technique according to claim 2, it is characterised in that: in a new P. drechsleri, according to real-time Boring parameter repeats above-mentioned calculating step (4) and arrives step (9), obtains new Ground surface settlement formula.
4. prediction technique according to claim 1, it is characterised in that: the principle simplified during cutterhead model foundation are as follows: The cutter other than shield central area is removed, cutter head panel, spoke and central cutter are retained.
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CN114236092A (en) * 2021-11-11 2022-03-25 北京交通大学 Tunnel excavation face stability experiment equipment and method considering shield cutter head influence

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