CN105401954B - Tunnel anti-expansion support design method - Google Patents

Tunnel anti-expansion support design method Download PDF

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CN105401954B
CN105401954B CN201510695958.1A CN201510695958A CN105401954B CN 105401954 B CN105401954 B CN 105401954B CN 201510695958 A CN201510695958 A CN 201510695958A CN 105401954 B CN105401954 B CN 105401954B
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expansion
time
tunnel
test
equation
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CN105401954A (en
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陈钒
沈亮
蒲文明
赵国军
任松
吴建勋
李振元
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PowerChina Roadbridge Group Co Ltd
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PowerChina Roadbridge Group Co Ltd
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    • E—FIXED CONSTRUCTIONS
    • E21—EARTH DRILLING; MINING
    • E21D—SHAFTS; TUNNELS; GALLERIES; LARGE UNDERGROUND CHAMBERS
    • E21D11/00—Lining tunnels, galleries or other underground cavities, e.g. large underground chambers; Linings therefor; Making such linings in situ, e.g. by assembling
    • G—PHYSICS
    • G01—MEASURING; TESTING
    • G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N33/00—Investigating or analysing materials by specific methods not covered by groups G01N1/00 - G01N31/00
    • G01N33/24—Earth materials
    • G—PHYSICS
    • G16—INFORMATION AND COMMUNICATION TECHNOLOGY [ICT] SPECIALLY ADAPTED FOR SPECIFIC APPLICATION FIELDS
    • G16Z—INFORMATION AND COMMUNICATION TECHNOLOGY [ICT] SPECIALLY ADAPTED FOR SPECIFIC APPLICATION FIELDS, NOT OTHERWISE PROVIDED FOR
    • G16Z99/00—Subject matter not provided for in other main groups of this subclass

Abstract

The invention discloses a tunnel anti-expansion support design method. The method comprises the following steps that firstly, the lateral confinement free expansion test and the expansion force and time test are carried out; secondly, according to a test result, parameters of an expansion constitutive equation containing the time effect are obtained; thirdly, according to the expansion constitutive equation containing the time effect, a relation equation of tunnel expansion deformation and support anti-expansion force is established; fourthly, under the boundary condition that the support force is equal to zero, the expansion deformation of the tunnel construction period is worked out, expansion deformation is considered in the reserved deformation design based on the calculation result, and the problems of instability and beyond limit caused by expansibility in the construction period are effectively solved; and fifthly, under the boundary condition of displacement restraint, the expansion force borne by a tunnel running period secondary lining is worked out, the anti-hydrostatic pressure design is added in the secondary lining, the anti-hydrostatic pressure value is not smaller than the maximum expansion force value in the running period, and the problem of stability in the running period is effectively solved.

Description

A kind of anti-expansion support design method in tunnel
Technical field
The present invention relates to a kind of anti-expansion support design method in tunnel.
Background technology
In underground Geotechnical Engineering is built, especially for Tunnel Engineering, the dilatancy of expansive rock can be constructed to therein Thing produces the bulbs of pressure, has a strong impact on the stability of engineering, and harm of the expansive rock dilatancy to tunnel is mainly reflected in：
1) construction time, expansion can cause the unstability of preliminary bracing and invade limit.
2) run the phase, expansive force can be applied to two linings, cause the destruction of two linings, affect the long-time stability in tunnel.
The anti-expansion support design method in existing tunnel, more based on engineering experience, the design parameter for being given is not economical enough to be closed Reason, without set of system, science, be capable of the method for designing of accurate quantitative analysis.
The content of the invention
For above-mentioned deficiency present in prior art, the invention provides one kind being capable of Accurate Prediction expansion prearrangement of deformation amount Amount size and can Accurate Prediction two serve as a contrast the anti-expansion support design method in tunnel of anti-expansive force size.
In order to solve above-mentioned technical problem, following technical scheme is present invention employs：
A kind of anti-expansion support design method in tunnel, the method comprises the steps：
1) expansion test：To the tunnel surrounding coring to be simulated, the high 20mm patties test specimens of diameter 61mm are processed into；
1.1) lateral spacing free wxpansion test：Tested using consolidation apparatus, coated in the test specimen ring inwall of consolidation apparatus water box Vaseline oil, then test specimen is put in test specimen ring, thin filter paper and porous disc are placed in test specimen upper and lower side, fixed metal is placed at top Plate, and vertical amesdial is installed, slowly to water filling in water box, the water surface is higher by test specimen 5mm, is sampled using computer, and record expansion becomes Shape and the relation of time；
1.2) expansive force is tested with the time：Multiple test specimens are chosen, using step 1.1) in method, allow its free wxpansion, After being expanded into different time, pressurization pushes back deformation, and required pressure is the bulbs of pressure when test specimen is pressed onto zero deformation, is built The vertical bulbs of pressure and the relation of time；
2) according to the following expansion constitutive equation containing time effect, expansion test result is fitted；
2.1) parameter for obtaining rock expansion strain-equation of time is tested by lateral spacing free wxpansion；
In formula, t is Bulking Time；εtFor t expansion strain；M, a and b are rock expansion strain-equation of time parameter, Wherein m>0, b>0；Model parameter, the result tested by lateral spacing free wxpansion is obtained；
2.2) parameter for obtaining rock expansion stress-equation of time is tested by expansive force and time, equation is as follows：
σt=c (1-e-dt) (2)
In formula, t is Bulking Time, and e is natural constant, σtFor t swelling stress, c>0, d>0 is material characteristic parameter, Obtained by testing fitting；
2.3) the expansion constitutive equation containing time effect：
A, b, c, d and the m for fitting before is substituted into (3) formula must contain the expansion constitutive model of time effect；
3) according to expansion constitutive model of the equation (3) containing time effect, tunnel dilatancy and the anti-expansive force of supporting are set up Relation equation is as follows：
In formula, U is dilatancy；P is the anti-expansive force of supporting；K is the coefficient relevant with tunnel geology condition；D is tunnel Excavate the radius of influence；A, b, c and d are coefficient, are obtained by testing；
3.1) constructing tunnel phase anti-inflated design：According to dilatancy and the anti-expansive force relation of supporting, P=0 and t=t0 Substitution formula (4) can calculate U=U0；Then in the design of tunnel deformation allowance, U is additionally considered0Thick dilatancy, reaches and applies Duration anti-expansion effect；Above-mentioned t=t0For preliminary bracing in actual condition and two lining interval times；
3.2) tunnel operation phase anti-inflated design：According to dilatancy and the anti-expansive force relation of supporting, t=t1And U=U1 Substitution formula (4) can calculate P=P1；It is then the opposing bulbs of pressure, it is extra to consider to be not less than P in tunnel double-lining design1It is anti- Hydrostatic pressure, reaches operation phase anti-expansion effect；Above-mentioned t=t1For the tunnel service time limit, U=U1Country rock for the construction time expands Deflection.
The solution have the advantages that：According to the dilatancy and the anti-expansive force relation equation of supporting set up, tunnel is calculated Road construction time country rock dilatancy amount and the anti-expansive force for bearing of two linings, based on result of calculation, in being designed by deformation allowance Consider dilatancy, the effectively solving construction time by unstability caused by dilatancy, invade limit problem；By increasing anti-quiet in two linings are anti- Water pressure is designed, and makes the value of hydrostatic pressure equal to the value of maximum swelling power, and then effectively solving operation phase stability problem.
Description of the drawings
Fig. 1 is to test the modelling effect figure for obtaining by lateral spacing free wxpansion；
Fig. 2 is to test the modelling effect figure for obtaining by expansive force and time；
Fig. 3 is the expansion constitutive model design sketch containing time effect.
Specific embodiment
The present invention is described in further detail with reference to the accompanying drawings and detailed description.
A kind of anti-expansion support design method in tunnel, the method comprises the steps：
1) expansion test：To the tunnel surrounding coring to be simulated, the high 20mm patties test specimens of diameter 61mm are processed into；
1.1) lateral spacing free wxpansion test：Tested using consolidation apparatus, coated in the test specimen ring inwall of consolidation apparatus water box Vaseline oil, then test specimen is put in test specimen ring, thin filter paper and porous disc are placed in test specimen upper and lower side, fixed metal is placed at top Plate, and vertical amesdial is installed, slowly to water filling in water box, the water surface is higher by test specimen 5mm, is sampled using computer, and record expansion becomes Shape and the relation of time；
1.2) expansive force is tested with the time：Multiple test specimens are chosen, using step 1.1) in method, allow its free wxpansion, After being expanded into different time, pressurization pushes back deformation, and required pressure is the bulbs of pressure when test specimen is pressed onto zero deformation, is built The vertical bulbs of pressure and the relation of time.
2) according to the following expansion constitutive equation containing time effect, expansion test result is fitted；
2.1) parameter for obtaining rock expansion strain-equation of time is tested by lateral spacing free wxpansion；
In formula, t is Bulking Time；εtFor t expansion strain；M, a and b are rock expansion strain-equation of time parameter, Wherein m>0, b>0；Model parameter, the result tested by lateral spacing free wxpansion is obtained, and modelling effect is as shown in Figure 1；
2.2) parameter for obtaining rock expansion stress-equation of time is tested by expansive force and time, equation is as follows：
σt=c (1-e-dt) (2)
In formula, t is Bulking Time, and e is natural constant, σtFor t swelling stress, c>0, d>0 is material characteristic parameter, Obtained by testing fitting, modelling effect is as shown in Figure 2；
2.3) the expansion constitutive equation containing time effect：
A, b, c, d and the m for fitting before is substituted into (3) formula must contain the expansion constitutive model of time effect, modelling effect As shown in Figure 3.
3) according to expansion constitutive model of the equation (3) containing time effect, tunnel dilatancy and the anti-expansive force of supporting are set up Relation equation is as follows：
In formula, U is dilatancy；P is the anti-expansive force of supporting；K is the coefficient relevant with tunnel geology condition；D is tunnel Excavate the radius of influence；A, b, c and d are coefficient, are obtained by testing；
3.1) constructing tunnel phase anti-inflated design：According to dilatancy and the anti-expansive force relation of supporting, P=0 and t=t0 Substitution formula (4) can calculate U=U0；Then in the design of tunnel deformation allowance, U is additionally considered0Thick dilatancy, reaches and applies Duration anti-expansion effect.Above-mentioned t=t0For preliminary bracing in actual condition and two lining interval times.
3.2) tunnel operation phase anti-inflated design：According to dilatancy and the anti-expansive force relation of supporting, t=t1And U=U1 Substitution formula (4) can calculate P=P1；It is then the opposing bulbs of pressure, it is extra to consider to be not less than P in tunnel double-lining design1It is anti- Hydrostatic pressure, reaches operation phase anti-expansion effect.Above-mentioned t=t1For the tunnel service time limit, U=U1Country rock for the construction time expands Deflection.
Finally illustrate, above example is only unrestricted to illustrate technical scheme, although with reference to compared with Good embodiment has been described in detail to the present invention, it will be understood by those within the art that, can be to the skill of the present invention Art scheme is modified or equivalent, and without deviating from the objective and scope of technical solution of the present invention, it all should cover at this In the middle of the right of invention.

Claims (1)

1. the anti-expansion support design method in a kind of tunnel, it is characterised in that the method comprises the steps：
1) expansion test：Country rock coring to the tunnel expansive rock section to be built, is processed into the high 20mm patties of diameter 61mm Test specimen；
1.1) lateral spacing free wxpansion test：Tested using consolidation apparatus, in the test specimen ring inwall of consolidation apparatus water box all scholars are coated Woods oil, then test specimen is put in test specimen ring, thin filter paper and porous disc are placed in the top and bottom of test specimen, fixed gold is placed at top Category plate, and vertical amesdial is installed, slowly to water filling in water box, the water surface is higher by test specimen 5mm, is sampled using computer, record expansion Deformation and time；
1.2) expansive force is tested with the time：Multiple test specimens are chosen, using step 1.1) in method, allow its free wxpansion, expansion To after different time, pressurization pushes back deformation, and required pressure is the maximum under Bulking Time when test specimen is pressed onto zero deformation The bulbs of pressure, set up the relation of maximum swelling pressure and Bulking Time；
2) according to the following expansion constitutive equation containing time effect, expansion test result is fitted；
2.1) parameter for obtaining rock expansion strain-equation of time is tested by lateral spacing free wxpansion；
ϵ t = m 1 + at - b - - - ( 1 )
In formula, t is Bulking Time；εtFor t expansion strain；M, a and b be rock expansion strain-equation of time parameter, wherein m >0, b>0；Model parameter, the result tested by lateral spacing free wxpansion is obtained；
2.2) parameter for obtaining rock expansion stress-equation of time is tested by expansive force and time, equation is as follows：
σt=c (1-e-dt) (2)
In formula, t is Bulking Time, and e is natural constant, σtFor t swelling stress, c>0, d>0 is material characteristic parameter, is passed through Test fitting is obtained；
2.3) the expansion constitutive equation containing time effect：
ϵ = m [ σ - c ( 1 - e - d t ) ] 2 c 2 ( 1 + at - b ) ( 1 - e - d t ) 2 - - - ( 3 )
A, b, c, d and the m for fitting before is substituted into (3) formula must contain the expansion constitutive model of time effect；
3) according to expansion constitutive model of the equation (3) containing time effect, tunnel dilatancy and the anti-expansive force relation of supporting are set up Equation is as follows：
U = k D m [ p - c ( 1 - e - d t ) ] 2 c 2 ( 1 + at - b ) ( 1 - e - d t ) 2 - - - ( 4 )
In formula, U is dilatancy；P is the anti-expansive force of supporting；K is that the coefficient relevant with tunnel geology condition takes 0～1；D is tunnel Excavate the radius of influence in road；A, b, c and d are coefficient, are obtained by testing；
3.1) constructing tunnel phase anti-inflated design：According to dilatancy and the anti-expansive force relation of supporting, P=0 and t=t0Substitute into Formula (4) can calculate U=U0；Then in the design of tunnel deformation allowance, U is additionally considered0Thick dilatancy, reaches the construction time Anti- expansion effect；Above-mentioned t=t0For preliminary bracing in actual condition and two lining interval times；
3.2) tunnel operation phase anti-inflated design：According to dilatancy and the anti-expansive force relation of supporting, t=t1And U=U1Substitute into Formula (4) can calculate P=P1；It is then the opposing bulbs of pressure, it is extra to consider to be not less than P in tunnel double-lining design1Anti- hydrostatic Pressure, reaches operation phase anti-expansion effect；Above-mentioned t=t1For the tunnel service time limit, U=U1For the country rock dilatancy of construction time Amount.
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CN106055865A (en) * 2016-05-16 2016-10-26 中电建路桥集团有限公司 Method and system for evaluating influences of tunnel construction on water environment
CN107729645B (en) * 2017-10-11 2020-10-13 重庆大学 Method for judging stability of expansive surrounding rock tunnel inverted arch support
CN108038305B (en) * 2017-12-08 2020-05-26 重庆大学 Anhydrite tunnel reliability analysis method considering expansion evolution
CN113075039B (en) * 2021-04-02 2021-11-02 交通运输部公路科学研究所 Method for analyzing stress strain of expansion tunnel surrounding rock
CN113092720B (en) * 2021-04-02 2022-01-14 交通运输部公路科学研究所 Rock lateral confinement expansion constitutive relation analysis method

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CN104794337A (en) * 2015-04-17 2015-07-22 北京航空航天大学 Modeling method for judging cutting force of orthogonal turn-milling machining end face on basis of boundary conditions

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CN102968557A (en) * 2012-11-09 2013-03-13 中国能源建设集团广东省电力设计研究院 Method for valuing construction period wind load of ultra-large cooling tower
CN103590836A (en) * 2013-11-26 2014-02-19 中铁第四勘察设计院集团有限公司 Method for processing tunnel collapse caused by shallow-buried excavation
CN104634729A (en) * 2015-02-04 2015-05-20 中电建路桥集团有限公司 Multi-factor gyprock expansion testing method
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