CN106934251B - A kind of calculation of ground surface settlement method in class rectangle shield tunnel construction - Google Patents
A kind of calculation of ground surface settlement method in class rectangle shield tunnel construction Download PDFInfo
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- 238000010276 construction Methods 0.000 title claims abstract description 30
- 238000004364 calculation method Methods 0.000 title claims abstract description 16
- 238000000034 method Methods 0.000 title claims abstract description 16
- 238000009412 basement excavation Methods 0.000 claims abstract description 32
- 230000005641 tunneling Effects 0.000 claims abstract description 23
- 230000037361 pathway Effects 0.000 claims abstract description 19
- 238000004062 sedimentation Methods 0.000 claims abstract description 5
- 230000000977 initiatory effect Effects 0.000 claims abstract description 3
- 239000002689 soil Substances 0.000 claims description 16
- 230000001815 facial effect Effects 0.000 claims description 4
- 238000007596 consolidation process Methods 0.000 claims description 2
- 238000012937 correction Methods 0.000 claims description 2
- 239000002131 composite material Substances 0.000 claims 1
- 238000004458 analytical method Methods 0.000 description 8
- 238000012544 monitoring process Methods 0.000 description 7
- 238000011160 research Methods 0.000 description 7
- 238000010586 diagram Methods 0.000 description 4
- 238000013459 approach Methods 0.000 description 2
- 238000012517 data analytics Methods 0.000 description 2
- PCHJSUWPFVWCPO-UHFFFAOYSA-N gold Chemical compound [Au] PCHJSUWPFVWCPO-UHFFFAOYSA-N 0.000 description 2
- 239000010931 gold Substances 0.000 description 2
- 229910052737 gold Inorganic materials 0.000 description 2
- 238000005259 measurement Methods 0.000 description 2
- 239000011435 rock Substances 0.000 description 2
- 230000007423 decrease Effects 0.000 description 1
- 238000009792 diffusion process Methods 0.000 description 1
- 230000000694 effects Effects 0.000 description 1
- 238000004836 empirical method Methods 0.000 description 1
- 238000005516 engineering process Methods 0.000 description 1
- 238000007667 floating Methods 0.000 description 1
- 238000009472 formulation Methods 0.000 description 1
- 239000011440 grout Substances 0.000 description 1
- 230000002265 prevention Effects 0.000 description 1
- 235000014347 soups Nutrition 0.000 description 1
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Abstract
The present invention proposes a kind of calculation of ground surface settlement method in class rectangle shield tunnel construction, based on stochastic medium theory, it is derived by transverse direction earth's surface settlement formula caused by class rectangle shield-tunneling construction, and excavation face convergent pathway parameter alpha is introduced, so that formula of the present invention is suitable for the operating condition of a variety of excavation face convergent pathways.It proposes the modified longitudinally varying formula of ground loss rate, to calculate the ground loss rate of the arbitrary cross-section along tunneling direction, so that formula of the present invention is able to continuation along longitudinal direction, obtains three-dimensional earth's surface settlement formula.To which the sedimentation value that earth's surface caused by prediction class rectangle Shield Tunneling calculates point be calculated, ground settlement caused by class rectangle Shield Tunneling is predicted in realization, to settle excessive initiation safety accident when preventing construction.
Description
Technical field
The present invention relates to a kind of calculation of ground surface settlement methods in class rectangle shield tunnel construction, belong to underground engineering technology neck
Domain.
Background technique
In recent years, subway tunnel is built in many big cities of China one after another.Class rectangle shield combines the conjunction of circular shield stress
It manages, convenient for the high advantage of mechanized construction and rectangular shield scetion utilization, becomes and build city underground, efficiently utilize underground
The new selection in space.But relative to single targe structure, class rectangle shield tunneling section is larger, so ground settlement caused by constructing
Amount is bigger, and coverage is also wider.Therefore Ground surface settlement method caused by research class rectangle shield-tunneling construction, for protecting tunnel
Road surrounding enviroment and facility have important directive significance and application value.
However, there are no grinding in terms of class rectangle Surface Settlement Resulted by Shield Tunneling theoretical calculation for China at present
Study carefully achievement.Therefore, it is necessary to carry out the research of correlation technique.
The research method for causing earth's surface to deform about shield-tunneling construction at present mainly has: empirical method, economics analysis solution, Numerical-Mode
Quasi-, measured data analytic approach etc..
And cause the research of soil deformation then only both following for class rectangle shield tunnel construction:
In Method for Numerical: soup simulates class rectangle shield-tunneling construction process after new equal [1], using ABAQUS finite element software,
Analyze stratum deformation caused by class rectangle shield-tunneling construction.
In measured data analytic approach: department's gold mark etc. [2] studies field measurement data, analyzes class rectangle shield
The basic law that constructing tunnel causes the soil body to settle.
In conclusion there are no in terms of class rectangle Surface Settlement Resulted by Shield Tunneling theoretical calculation for China at present
Research achievement.
Summary of the invention
The present invention is directed to the theoretical research blank of domestic related fields, proposes earth's surface in a kind of class rectangle shield tunnel construction
Settlement calculation method.
The present invention is based on stochastic medium theory, it is derived by the public affairs of transverse direction calculation of ground surface settlement caused by class rectangle shield-tunneling construction
Formula, and excavation face convergent pathway parameter alpha is introduced, so that formula of the present invention is suitable for the operating condition of a variety of excavation face convergent pathways.
It is proposed the modified longitudinally varying formula of ground loss rate, the soil body to calculate the arbitrary cross-section along tunneling direction damages
Mistake rate obtains three-dimensional earth's surface settlement formula so that formula of the present invention is able to continuation along longitudinal direction.
1. lateral earth's surface settlement formula
Ground settlement caused by class rectangle Shield Tunneling is studied herein.
Before studying ground settlement, make the following assumptions:
(1) shield be in normal consolidation weak soil along straight line tunnel, shield machine is unbiased, and the soil body do not drain, do not consolidate,
Density does not change；
(2) ground settlement is only influenced by ground loss；
(3) the excavation face shape of class rectangle shield tunnel and its convergence rear profile are the constitutional diagram of two semicircles and rectangle
Shape.
Calculation of ground surface settlement model caused by class rectangle shield-tunneling construction is shown in Fig. 1.In figure:
X coordinate be from tunnel central axes transversely and horizontally with a distance from, unit symbol m；
Z coordinate is earth's surface calculating depth below, unit symbol m；
w1For tunnel excavation face axis buried depth, unit symbol m；
w2For the axis buried depth after the convergence of tunnel excavation face, w2=w1+ α g/2, unit symbol m；
α is excavation face convergent pathway parameter, and value range is [- 1,1].
G is equivalent ground loss parameter,Unit symbol is m；
π is pi, generally takes 3.14；
ε is ground loss percentage；
S is the circle center distance of two semicircles in left and right, unit symbol m；
R is the radius for excavating facial contour semicircle, unit symbol m；
D1、D2、D3、D4For 4 integral domains as made of the division of the convergence area in class rectangle Shield Tunneling face.
Three kinds of possible convergent pathways existing for class rectangle Shield Tunneling face are shown in Fig. 2.
Fig. 2 is wherein: the corresponding excavation face convergent pathway parameter of Fig. 2 (a) corresponding excavation face convergent pathway parameter alpha=0, Fig. 2 (b)
α=1, Fig. 2 (c) correspond to excavation face convergent pathway parameter alpha=- 1.
Stochastic medium theory schematic diagram is shown in Fig. 3.
Infinitely small infinitesimal excavates at Fig. 3 below ground point (ξ, η), causes coordinate at earth's surface when the complete slump of excavation unit
It is settled for the calculating point of x are as follows:
In formula:
ξ is to excavate unit x coordinate value；
η is to excavate unit z coordinate value；
β is the main influence angle of earthing on tunnel, and unit symbol is °；
For the internal friction angle of soil, unit symbol is °；
The central coordinate of circle of class rectangle shield or so semicircle is respectively (- t, w1), (t, w1)；
The central coordinate of circle that rear left right semi-circle is restrained in class rectangle shield tunneling face is respectively (- t, w2), (t, w2)。
Wherein: t is horizontal distance of the center of circle of two semicircles in left and right to coordinate origin, unit symbol m；
Transverse direction earth's surface settlement formula caused by class rectangle shield tunnel construction are as follows:
Wherein:
In formula: the bound of double integral is respectively as follows: a=-t-R；B=-t； a1=-t- (R-g/2)；b1=-t；
In formula: the bound of double integral is respectively as follows: e=t；F=t+R；e1=t；
In formula: the bound of double integral is respectively as follows: j=-t；L=t；M=w1-R；N=w2-(R-g/2)；
In formula: the bound of double integral is respectively as follows: j1=-t；l1=t；m1=w2+(R-g/2)；n1=w1+R。
2. three-dimensional earth's surface settlement formula
Three-dimensional earth's surface settlement formula:
Wherein: D1(y)、D2(y)、D3(y)、D4It (y) is 4 integral domains of longitudinal any section；
In formula: the bound of double integral is respectively as follows: a=-t-R；B=-t； a1(y)=- t- (R-g (y)/2)；b1=-t；
In formula: the bound of double integral is respectively as follows: e=t；F=t+R； e1=t；f1(y)=t+ (R-g (y)/2)；
In formula: the bound of double integral is respectively as follows: j=-t；L=t；M=w1-R；N (y)=w2-(R-g(y)/2)；
In formula: the bound of double integral is respectively as follows: j1=-t；l1=t；m1(y)=w2+(R-g(y)/2)；n1=w1+R；
M is correction factor；
εmaxMaximum ground loss rate when tending towards stability for ground settlement；
(1) effect of this patent
This patent establishes class rectangle shield tunnel ground loss model, is based on two-dimensional random MEDIUM THEORY, is derived by
Transverse direction earth's surface settlement formula caused by class rectangle shield-tunneling construction, and excavation face convergent pathway parameter alpha is introduced, so that of the invention
Formula is suitable for the operating condition of a variety of excavation face convergent pathways.
Based on lateral ground settlement formula, modified ground loss variation formula is introduced, 2-D solution continuation is made to obtain class square
Three-dimensional earth's surface settlement formula caused by shape shield-tunneling construction.
It can be according to specific site operation parameter, such as tunnel excavation face axis buried depth w before construction1, ground loss percentage
The internal friction angle of ε, the circle center distance S of two semicircles in left and right, the radius R for excavating facial contour semicircle, soilExcavation face convergent pathway
Parameter alpha, longitudinal ground loss rate corrected parameter m can calculate earth's surface caused by prediction class rectangle Shield Tunneling and calculate point
Sedimentation value.
In a practical situation, underground engineering construction cause accident often caused by cause the soil body settle excessive, Jin Eryin
Play a series of accidents.
Under normal circumstances, ground settlement can be monitored and control when construction, but higher cost, therefore can pass through when construction
The formula of this patent predicts ground settlement caused by class rectangle Shield Tunneling, prevents from settling excessive initiation when construction
Safety accident.
This patent is predicted ground settlement caused by class rectangle Shield Tunneling, by theoretical formula to engineering
With prevention, directive function, and theoretical basis is provided for the research from now in relation to Ground Settlement Induced by Shield Tunnel Construction.
Detailed description of the invention
Fig. 1 is that the soil body of class rectangle shield tunnel of the present invention restrains computation model；
Fig. 2 is the convergent three kinds of typical module schematic diagrames in tunnel excavation face of the present invention；
Fig. 3 is applied to stochastic medium theory schematic diagram of the invention；
Fig. 4 is application project DM34 monitoring section transverse direction earth's surface subsidence curve of the present invention；
Fig. 5 is the monitoring point application project DM21-5 of the present invention ground settlement duration curve.
Specific embodiment
A specific embodiment of the invention is made a detailed explanation with reference to the accompanying drawing.
The old mother-in-law of section, which is entered and left, using one phase of Ningbo City's Rail Transit Line 3 crosses station class rectangle shield engineering as real case,
Carry out sample calculation analysis.
Tunnel excavation face axis buried depth w1=13.33m, the circle center distance S=4.56m of two semicircles in left and right, excavation face wheel
The radius R=3.63m of wide semicircle, the internal friction angle weighted average of upper earthing are 15.5 °.
Maximum ground loss rate ε when DM34 monitoring section ground settlement tends towards stabilitymax=1.6%, excavation face restrains mould
Formula parameter alpha=0.45.Equivalent ground loss parameter g=0.0749m, the axis buried depth w after the convergence of tunnel excavation face is calculated2
=13.3469m, on tunnel β=0.5882 main influence tangent of an angle value tan of earthing.
DM34 monitoring section transverse direction calculation of ground surface settlement curve is calculated, and is compared with measured curve, sees Fig. 4.
As shown in Figure 4: (1) this patent method calculated result and measured curve relatively coincide, and show that this patent formula has one
Determine reliability.The section maximum settlement value is located above tunnel axis, and sedimentation value reaches 49mm；(2) according to calculated curve, the section
Ground settlement groove width be 60m or so, about the 5~6 of class rectangle shield width times；(3) measured curve and calculated curve
Compared to it can be found that measured curve symmetry is poor, the sedimentation of tunnel axis two sides is unevenly distributed.According to analysis, this may be
Because by caused by deflecting and being influenced in class rectangle shield tunneling process.
The final ground loss rate ε of DM21 monitoring sectionmax=1.8%, excavation face convergent pathway parameter alpha=- 1, longitudinal soil
Bulk diffusion rate corrected parameter m=3.
The monitoring point DM21-5 ground settlement duration curve is calculated, and is compared with measured curve, sees Fig. 5；
Fig. 5.
In the comparison of calculated value and measured data it can be found that after the abjection of shield tail section of jurisdiction, surface subsidence monitoring value and meter
There is larger gap in calculation value, and protuberance phenomenon occurs in measured value.According to analysis, draw this is because the grouting pressure of grouting at the tail of the shield machine is excessive
The earth's surface deformation risen, and this patent method only accounts for ground settlement caused by ground loss.
It can be assumed that shield tail plays the role of grouting pressure [3] to grout cures point range, grouting pressure in the length range
Along tunnel, vertical linear successively decreases [4].This patent on the basis of original measured data, rejects the influence of part grouting pressure accordingly,
Ground settlement measured curve caused by ground loss is obtained, sees Fig. 5.
As shown in Figure 5.Ground settlement measured curve caused by this patent method calculated result and ground loss relatively coincide, table
Bright this patent method can preferably reflect three-dimensional ground settlement changing rule caused by ground loss.
[1] Tang Jixin, Wang Liushan, Ji Chang, stratum deformation three-dimensional numerical value caused by waiting class rectangle earth pressure balanced shield, EPBS to tunnel
[J] Jiaotong University Of East China journal is analyzed, 2016,33 (1): 9-15. (TANG Jixin, WANG Liushan, JI Chang,
et al.Three-dimensional numerical analysis of ground deformation induced by
quasi rectangle EPB shield tunneling[J].Journal of East China Jiaotong
University, 2016,33 (1): 9-15. (in Chinese))
[2] department's gold mark, Zhu Yaohong, Ji Chang wait class rectangle Shield Construction Method Used in Soft Soil Layer to cause stratum vertical deformation real
It surveys and analysis [J] Chinese Journal of Rock Mechanics and Engineering, 2017,36 (X): (SI Jinbiao, ZHU Yaohong, JI Chang, et
al.Measurement and analysis of vertical deformation of stratum induced by
quasi-rectangular shield tunneling in soft ground[J].Chinese Journal of Rock
Mechanics and Engineering,2017,36(X):(in Chinese))
[3]BEZUIJEN A,VAN LOTTUM H.Tunnelling.A decade of progress GeoDelft
1995-2006[M].London:Taylor&Francis Group,2006.
[4] Liu Chang, Zhou Shunhua, Ji Chang wait the class rectangle shield tunnel construction phase floating analysis of Influential Factors East China [J] to hand over
Logical college journal, 2016,33 (1): 94-99.
Claims (1)
1. a kind of calculation of ground surface settlement method in class rectangle shield tunnel construction, which comprises the steps of:
Step (1), lateral calculation of ground surface settlement:
Ground settlement caused by class rectangle Shield Tunneling is studied；
Before studying ground settlement, make the following assumptions:
(1) shield is to tunnel in normal consolidation weak soil along straight line, and shield machine is unbiased, and the soil body is not drained, do not consolidated, density
It does not change；
(2) ground settlement is only influenced by ground loss；
(3) the excavation face shape of class rectangle shield tunnel and its convergence rear profile are the composite figure of two semicircles and rectangle；
Establish calculation of ground surface settlement model caused by class rectangle shield-tunneling construction, in which:
X coordinate be from tunnel central axes transversely and horizontally with a distance from, unit symbol m；
Z coordinate is earth's surface calculating depth below, unit symbol m；
w1For tunnel excavation face axis buried depth, unit symbol m；
w2For the axis buried depth after the convergence of tunnel excavation face, w2=w1+ α g/2, unit symbol m；
α is excavation face convergent pathway parameter, and value range is [- 1,1]；
G is equivalent ground loss parameter,Unit symbol is m；
π is pi, takes 3.14；
ε is ground loss percentage；
S is the circle center distance of two semicircles in left and right, unit symbol m；
R is the radius for excavating facial contour semicircle, unit symbol m；
D1、D2、D3、D4For 4 integral domains as made of the division of the convergence area in class rectangle Shield Tunneling face；
Three kinds of convergent pathways existing for class rectangle Shield Tunneling face；
One is corresponding excavation face convergent pathway parameter alpha=0, the second is corresponding excavation face convergent pathway parameter alpha=1, the third is
Corresponding excavation face convergent pathway parameter alpha=- 1；
Further according to stochastic medium theory, infinitely small infinitesimal is excavated at below ground point (ξ, η), is drawn when the complete slump of excavation unit
The calculating point that coordinate at earth's surface is x is played to settle are as follows:
In formula:
ξ is to excavate unit x coordinate value；
η is to excavate unit z coordinate value；
β is the main influence angle of earthing on tunnel, and unit symbol is °；
For the internal friction angle of soil, unit symbol is °；
The central coordinate of circle of class rectangle shield or so semicircle is respectively (- t, w1), (t, w1)；
The central coordinate of circle that rear left right semi-circle is restrained in class rectangle shield tunneling face is respectively (- t, w2), (t, w2)；
Wherein: t is horizontal distance of the center of circle of two semicircles in left and right to coordinate origin, unit symbol m；
Transverse direction earth's surface settlement formula caused by class rectangle shield tunnel construction are as follows:
Wherein:
In formula: the bound of double integral is respectively as follows: a=-t-R；B=-t； a1=-t- (R-g/2)；b1=-t；
In formula: the bound of double integral is respectively as follows: e=t；F=t+R；e1=t；
In formula: the bound of double integral is respectively as follows: j=-t；L=t；M=w1-R；N=w2-(R-g/2)；
In formula: the bound of double integral is respectively as follows: j1=-t；l1=t；m1=w2+(R-g/2)；n1=w1+R；
Step (2), three-dimensional calculation of ground surface settlement:
Three-dimensional earth's surface settlement formula:
Wherein: D1(y)、D2(y)、D3(y)、D4It (y) is 4 integral domains of longitudinal any section；
In formula: the bound of double integral is respectively as follows: a=-t-R；B=-t； a1(y)=- t- (R-g (y)/2)；b1=-t；
In formula: the bound of double integral is respectively as follows: e=t；F=t+R； e1=t；f1(y)=t+ (R-g (y)/2)；
In formula: the bound of double integral is respectively as follows: j=-t；L=t；M=w1-R；N (y)=w2-(R-g(y)/2)；
In formula: the bound of double integral is respectively as follows: j1=-t；l1=t；m1(y)=w2+(R-g(y)/2)；n1=w1+R；
M is correction factor；
εmaxMaximum ground loss rate when tending towards stability for ground settlement；
Therefore, according to site operation parameter: tunnel excavation face axis buried depth w1, ground loss percentage ε, left and right two semicircles
The internal friction angle of circle center distance S, the radius R for excavating facial contour semicircle, soilExcavation face convergent pathway parameter alpha, longitudinal soil body damage
Mistake rate corrected parameter m is realized so that the sedimentation value that earth's surface caused by prediction class rectangle Shield Tunneling calculates point be calculated
The prediction of ground settlement caused by class rectangle Shield Tunneling prevents from settling excessive initiation safety accident when construction.
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