CN107066795B - One kind loosens Forecasting Methodology based on facial disfigurement sandy soil stratum tunnel excavation is excavated - Google Patents

One kind loosens Forecasting Methodology based on facial disfigurement sandy soil stratum tunnel excavation is excavated Download PDF

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CN107066795B
CN107066795B CN201611244368.8A CN201611244368A CN107066795B CN 107066795 B CN107066795 B CN 107066795B CN 201611244368 A CN201611244368 A CN 201611244368A CN 107066795 B CN107066795 B CN 107066795B
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relaxation zone
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tunnel excavation
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武军
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63926 Troops Of Pla
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Abstract

The present invention relates to one kind Forecasting Methodology, including following methods are loosened based on facial disfigurement sandy soil stratum tunnel excavation is excavated:1) measurement obtains the deflection at tunnel excavation face center, and the form parameter for obtaining relaxation zone is calculated using particulate matter ellipsoidal triangle;2) wedge-shaped body Model is established, is calculated according to the form parameter of relaxation zone and is obtained earthing on sphenoid and be averaged compressed stress;3) consider that cutterhead calculates to obtain with excavation face soil body frictional force and loosen broken-rock pressure of the soil body to cutterhead.Compared with prior art, the present invention has method simple, and reliability is high, the advantages that easy to promote, can directly predict the coverage and supporting pressure of sandy soil stratum tunnel excavation.

Description

One kind loosens Forecasting Methodology based on facial disfigurement sandy soil stratum tunnel excavation is excavated
Technical field
The present invention relates to Tunnel Engineering technical field, is opened more particularly, to one kind based on facial disfigurement sandy soil stratum tunnel is excavated Dig and loosen Forecasting Methodology.
Background technology
The relaxation zone of tunnel excavation is as caused by the loosening of excavation face, when excavation face is deformed into zero, without relaxation zone; With the increase for excavating facial disfigurement, relaxation zone is constantly upwardly extended from excavation face bottom plate, and until excavation face is caved in, relaxation zone reaches Maximum, when edpth of tunnel is shallower, relaxation zone can reach ground, when edpth of tunnel is larger, until excavation face is caved in, and relaxation zone Ground will not be reached.
The soil arching effect caused by the loosening on stratum in relaxation zone, stratum horizontal pressure force are big compared with prime stratum horizontal pressure force Width reduces, if broken-rock pressure can be undertaken by stratum itself, tunnel keeps stablizing;If broken-rock pressure is held more than stratum itself The ability of load, need to carry out supporting, in order to avoid tunnel instability.
At present, can analyze as the method for the tunnel excavation facial disfigurement increase gradual expansion process of relaxation zone only has numerical value point Analysis.The computation model that domestic and foreign scholars use is broadly divided into two classes:Sphenoid Limit Equilibrium Model and moulding upper and lower bound theorem mould Type.But its major drawbacks is to be only limited to marginal stability analysis, it is impossible to considers excavation face progressive failure and damage envelope Influence of the interior sand grains flowing to excavation face stability and shield tunnel broken-rock pressure.A kind of clear mechanism is also lacked in engineering Calculate simple, practical definite sandy soil stratum tunnel excavation relaxation zone and the method for shield tunnel broken-rock pressure.
The content of the invention
It is an object of the present invention to overcome the above-mentioned drawbacks of the prior art and provide a kind of simple, reliability height Based on excavate facial disfigurement sandy soil stratum tunnel excavation loosen Forecasting Methodology.
The purpose of the present invention can be achieved through the following technical solutions:
One kind loosens Forecasting Methodology based on facial disfigurement sandy soil stratum tunnel excavation is excavated, and comprises the following steps:
1) measurement obtains the deflection at tunnel excavation face center, is calculated using particulate matter ellipsoidal triangle and obtains relaxation zone Form parameter;
2) wedge-shaped body Model is established, calculating the average vertical pressure of earthing on acquisition sphenoid according to the form parameter of relaxation zone should Power;
3) consider that cutterhead calculates to obtain with excavation face soil body frictional force and loosen broken-rock pressure of the soil body to cutterhead.
In the step 1), relaxation zone is equivalent to a spheroid, the relaxation zone using particulate matter ellipsoidal triangle Form parameter include relaxation zone volume VG, relaxation zone semi-major axis aG, relaxation zone longitudinal direction semi-minor axis bG, relaxation zone transverse direction semi-minor axis cGWith relaxation zone height HGF, calculation formula is:
HGF=2aG cosα
In formula, s is the deflection at tunnel excavation face center, and D is tunnel diameter, and β is to loosen coefficient, εbFor relaxation zone longitudinal direction Eccentricity, εcFor the transversely eccentered rate of relaxation zone, fαFor calculating parameter, meetα deflects for relaxation zone Angle.
In the step 2), earthing is averaged compressed stress σ on sphenoidpCalculate in the following way:
1. as relaxation zone height HGFDuring no more than tunnel excavation face vault, σpMeet the following formula:
σp=γ [C+ (D-HGF)]+q
In formula, γ is sand unit weight, and C is thickness of earth covering on tunnel vault, and q overloads for earth's surface, and D is tunnel diameter;
2. as relaxation zone height HGFMore than tunnel excavation face vault, but when not extending to earth's surface, σpMeet the following formula:
In formula, c is sand cohesion,For sand angle of friction, HCF=HGF- D, R, k1For calculating parameter, R meets formula:
In formula, cGFor relaxation zone transverse direction semi-minor axis, k1Meet formula:
In formula, kaFor Lang Ken coefficient of active earth pressure;
3. as relaxation zone height HGFWhen extending to earth's surface, σpMeet the following formula:
The step 3) specifically includes:
301) calculate and horizontal pressure force σ of the soil body to cutterhead is loosened in front of excavation faceh
σh=(fz2+gz+σp)k2
In formula, σpIt is averaged compressed stress for earthing on sphenoid, f, g are calculating parameter, meet formula:
In formula, δ is the angle of friction loosened between the soil body and cutterhead;
302) calculate and loosen average level pressure σ of the soil body to cutterheadah
The value range for loosening factor beta is 1.030~1.180.
The value range of the relaxation zone angle of deflection is 2 °~9 °.
Relaxation zone longitudinal direction eccentricity epsilonbWith the transversely eccentered rate ε of relaxation zonecValue range be 0.900~0.990.
Compared with prior art, the invention has the advantages that:
(1) angle of the invention based on Practical, it is proposed that a set of to sandy soil stratum shield tunnel relaxation zone and loosening The quantitative forecasting technique of pressure, this method utilizes particulate matter ellipsoidal triangle, it can be achieved that tunnel excavation face becomes in sandy soil stratum The prediction of relaxation zone shape and scope caused by shape, and can realize and consider cutterhead and the broken-rock pressure of excavation face soil body frictional force Calculate, the present invention has broken original deficiency that can only be taken considerable time with numerical analysis software and calculate relaxation zone, convenience of calculation Provide guarantee safely for tunnel construction.
(2) the method for the present invention is simple, and reliability is high, easy to promote, has very big application value, can directly predict sand The coverage and supporting pressure that formation tunnel excavates.
Brief description of the drawings
Fig. 1 is sand tunnel excavation face relaxation zone computation model of the present invention;
Fig. 2 is excavation face relaxation zone Three-dimensional CAD of the present invention;
Fig. 3 for relaxation zone of the present invention in the range of excavation face when broken-rock pressure computation model;
Broken-rock pressure computation model when Fig. 4 exceeds excavation face scope for relaxation zone of the present invention but is not extend to earth's surface;
Broken-rock pressure computation model when Fig. 5 exceeds earth's surface for relaxation zone of the present invention;
Fig. 6 be present invention determine that C/D=1.0 when relative compaction 26% S1 sands tunnel be opened in different digging facial disfigurements Under relaxation zone, wherein, the digging facial disfigurement of (a) is 1.5mm, and the digging facial disfigurement of (b) is 3.0mm, and the digging facial disfigurement of (c) is 6.0mm;
Fig. 7 be present invention determine that C/D=1.0 when relative compaction 26% S1 sand tunnel excavations face broken-rock pressure.
Embodiment
The present invention is described in detail with specific embodiment below in conjunction with the accompanying drawings.The present embodiment is with technical solution of the present invention Premised on implemented, give detailed embodiment and specific operating process, but protection scope of the present invention is not limited to Following embodiments.
Forecasting Methodology is loosened based on facial disfigurement sandy soil stratum tunnel excavation is excavated the present embodiment provides one kind, including with lower section Method:1) measurement obtains the deflection at tunnel excavation face center, and the shape for obtaining relaxation zone is calculated using particulate matter ellipsoidal triangle Shape parameter;2) wedge-shaped body Model is established, calculating the average vertical pressure of earthing on acquisition sphenoid according to the form parameter of relaxation zone should Power;3) consider that cutterhead calculates to obtain with excavation face soil body frictional force and loosen broken-rock pressure of the soil body to cutterhead.This method utilization Grain material ellipsoidal triangle quantitatively determines relaxation zone and broken-rock pressure caused by tunnel excavation facial disfigurement in sandy soil stratum, method letter It is single, easy to promote, it can directly predict the coverage and supporting pressure of sandy soil stratum tunnel excavation.
Article " the Experimental investigation of the face delivered in the present embodiment with Kirsch stability of shallow tunnels in sand”(Acta Geotechnica,2010,5(1):43-62) report in Test model tunnel exemplified by illustrate the specific implementation process of Forecasting Methodology, the excavation face in the test model tunnel is a diameter of 100mm, upper thickness of earth covering 100mm, are intended excavating facial disfigurement with shifting formwork after piston, with Particle Image Velocimetry monitoring excavation face pine Dynamic area, model test is S1 sand with sand, tests and is carried out under the conditions of gravitational field, overcharge on ground q=0kPa, unit weight γ= 15.53kN/m3, internal friction angleAngle of friction δ=28.5 ° of cohesive strength c=0kPa, piston and sand, loosen coefficient β=1.03, εb=0.940, εc=0.975, α=9 °, design parameter model is as Figure 1-Figure 5.
The first step, measures the deflection s at tunnel excavation face center, calculates the sand volume V squeezed into excavation faceN
Second step, calculates relaxation zone volume VG, the VGMeet the following formula:
3rd step, calculates relaxation zone semi-major axis aG, relaxation zone longitudinal direction semi-minor axis bG, relaxation zone transverse direction semi-minor axis cG
4th step, calculates earthing on sphenoid and is averaged compressed stress σp, relaxation zone height HGFFor:HGF=2aG× cos90
1. as relaxation zone height HGFDuring no more than tunnel excavation face vault, σpMeet the following formula:
σp=15.53 × [0.1+ (0.1-HGF)]
2. as relaxation zone height HGFMore than tunnel excavation face vault, but when not extending to earth's surface, σpMeet the following formula:
HCF, R meets the following formula
HCF=2aG×cos9°-0.1
k1=0.456
3. as relaxation zone height HGFWhen extending to earth's surface, σpMeet the following formula
5th step, calculates and horizontal pressure force σ of the soil body to cutterhead is loosened in front of excavation faceh
σh=(fz2+gz+σp)k2
Wherein, f, g are calculating parameter, meet the following formula
Wherein, r, l, t are calculating parameter, meet the following formula
k2=0.306
6th step, calculates and loosens average level pressure σ of the soil body to cutterheadah, meet the following formula:
Using present invention determine that relaxation zone and average broken-rock pressure as shown in Fig. 6~Fig. 7.According to tunnel obtained above Excavation face relaxation zone and average broken-rock pressure, control the coverage and supporting pressure of tunnel excavation.
The present embodiment can accurately determine excavation face relaxation zone and average broken-rock pressure, compared to relying on experience merely in the past Method is more scientific, more accurate, and time-consuming less, coverage and supporting pressure to tunnel excavation are calculated compared to numerical analysis method Control bring very big convenience.
Although present disclosure is discussed in detail by above preferred embodiment, but it should be appreciated that above-mentioned Description is not considered as limitation of the present invention.After those skilled in the art have read the above, for the present invention's A variety of modifications and substitutions all will be apparent.Therefore, protection scope of the present invention should be limited to the appended claims.

Claims (6)

1. one kind loosens Forecasting Methodology based on facial disfigurement sandy soil stratum tunnel excavation is excavated, it is characterised in that comprises the following steps:
1) measurement obtains the deflection at tunnel excavation face center, and the shape for obtaining relaxation zone is calculated using particulate matter ellipsoidal triangle Shape parameter;
2) wedge-shaped body Model is established, is calculated according to the form parameter of relaxation zone and is obtained earthing on sphenoid and be averaged compressed stress;
3) consider that cutterhead calculates to obtain with excavation face soil body frictional force and loosen broken-rock pressure of the soil body to cutterhead;
In the step 1), relaxation zone is equivalent to a spheroid, the shape of the relaxation zone using particulate matter ellipsoidal triangle Shape parameter includes relaxation zone volume VG, relaxation zone semi-major axis aG, relaxation zone longitudinal direction semi-minor axis bG, relaxation zone transverse direction semi-minor axis cGWith Relaxation zone height HGF, calculation formula is:
<mrow> <msub> <mi>V</mi> <mi>G</mi> </msub> <mo>=</mo> <mfrac> <mi>&amp;pi;</mi> <mrow> <mn>4</mn> <mrow> <mo>(</mo> <mi>&amp;beta;</mi> <mo>-</mo> <mn>1</mn> <mo>)</mo> </mrow> </mrow> </mfrac> <msup> <mi>D</mi> <mn>2</mn> </msup> <mi>s</mi> </mrow>
<mrow> <msub> <mi>a</mi> <mi>G</mi> </msub> <mo>=</mo> <msup> <mrow> <mo>&amp;lsqb;</mo> <mfrac> <msub> <mi>V</mi> <mi>G</mi> </msub> <mrow> <mi>&amp;pi;</mi> <msqrt> <mrow> <mn>1</mn> <mo>-</mo> <msub> <mi>&amp;epsiv;</mi> <mi>b</mi> </msub> </mrow> </msqrt> <msqrt> <mrow> <mn>1</mn> <mo>-</mo> <msub> <mi>&amp;epsiv;</mi> <mi>c</mi> </msub> </mrow> </msqrt> <mrow> <mo>(</mo> <mfrac> <mn>2</mn> <mn>3</mn> </mfrac> <mo>+</mo> <msub> <mi>f</mi> <mi>&amp;alpha;</mi> </msub> <mo>-</mo> <mfrac> <msubsup> <mi>f</mi> <mi>&amp;alpha;</mi> <mn>3</mn> </msubsup> <mn>3</mn> </mfrac> <mo>)</mo> </mrow> </mrow> </mfrac> <mo>&amp;rsqb;</mo> </mrow> <mrow> <mn>1</mn> <mo>/</mo> <mn>3</mn> </mrow> </msup> </mrow>
<mrow> <msub> <mi>b</mi> <mi>G</mi> </msub> <mo>=</mo> <msub> <mi>a</mi> <mi>G</mi> </msub> <msqrt> <mrow> <mn>1</mn> <mo>-</mo> <msubsup> <mi>&amp;epsiv;</mi> <mi>b</mi> <mn>2</mn> </msubsup> </mrow> </msqrt> </mrow>
<mrow> <msub> <mi>c</mi> <mi>G</mi> </msub> <mo>=</mo> <msub> <mi>a</mi> <mi>G</mi> </msub> <msqrt> <mrow> <mn>1</mn> <mo>-</mo> <msubsup> <mi>&amp;epsiv;</mi> <mi>c</mi> <mn>2</mn> </msubsup> </mrow> </msqrt> </mrow>
HGF=2aG cosα
In formula, s is the deflection at tunnel excavation face center, and D is tunnel diameter, and β is to loosen coefficient, εbIt is eccentric for relaxation zone longitudinal direction Rate, εcFor the transversely eccentered rate of relaxation zone, fαFor calculating parameter, meetα is relaxation zone deflection angle.
2. according to claim 1 based on facial disfigurement sandy soil stratum tunnel excavation loosening Forecasting Methodology is excavated, its feature exists In in the step 2), earthing is averaged compressed stress σ on sphenoidpCalculate in the following way:
1. as relaxation zone height HGFDuring no more than tunnel excavation face vault, σpMeet the following formula:
σp=γ [C+ (D-HGF)]+q
In formula, γ is sand unit weight, and C is thickness of earth covering on tunnel vault, and q overloads for earth's surface, and D is tunnel diameter;
2. as relaxation zone height HGFMore than tunnel excavation face vault, but when not extending to earth's surface, σpMeet the following formula:
In formula, c is sand cohesion,For sand angle of friction, HCF=HGF- D, R, k1For calculating parameter, R meets formula:
In formula, cGFor relaxation zone transverse direction semi-minor axis, k1Meet formula:
In formula, kaFor Lang Ken coefficient of active earth pressure;
3. as relaxation zone height HGFWhen extending to earth's surface, σpMeet the following formula:
3. according to claim 2 based on facial disfigurement sandy soil stratum tunnel excavation loosening Forecasting Methodology is excavated, its feature exists In the step 3) specifically includes:
301) calculate and horizontal pressure force σ of the soil body to cutterhead is loosened in front of excavation faceh
σh=(fz2+gz+σp)k2
In formula, σpIt is averaged compressed stress for earthing on sphenoid, f, g are calculating parameter, meet formula:
<mrow> <mi>f</mi> <mo>=</mo> <mfrac> <mrow> <mo>(</mo> <mi>t</mi> <mi>D</mi> <mo>-</mo> <mn>2</mn> <mi>l</mi> <mo>)</mo> <mo>(</mo> <msub> <mi>&amp;sigma;</mi> <mi>p</mi> </msub> <mo>-</mo> <mi>r</mi> <mo>)</mo> <mo>-</mo> <mn>3</mn> <mi>r</mi> <mi>l</mi> </mrow> <mrow> <mn>2</mn> <mi>D</mi> </mrow> </mfrac> </mrow>
<mrow> <mi>g</mi> <mo>=</mo> <mi>r</mi> <mo>-</mo> <msub> <mi>&amp;sigma;</mi> <mi>p</mi> </msub> <mrow> <mo>(</mo> <mi>t</mi> <mo>+</mo> <mfrac> <mi>l</mi> <mi>D</mi> </mfrac> <mo>)</mo> </mrow> </mrow>
<mrow> <msub> <mi>&amp;theta;</mi> <mn>2</mn> </msub> <mo>=</mo> <mi>m</mi> <mi>a</mi> <mi>x</mi> <mrow> <mo>(</mo> <mi>arctan</mi> <mo>(</mo> <mfrac> <mrow> <mn>1</mn> <mo>-</mo> <msub> <mi>k</mi> <mi>a</mi> </msub> <mo>&amp;PlusMinus;</mo> <msqrt> <mrow> <msup> <mrow> <mo>(</mo> <mn>1</mn> <mo>-</mo> <msub> <mi>k</mi> <mi>a</mi> </msub> <mo>)</mo> </mrow> <mn>2</mn> </msup> <mo>-</mo> <mn>4</mn> <msup> <mi>tan</mi> <mn>2</mn> </msup> <msub> <mi>&amp;delta;k</mi> <mi>a</mi> </msub> </mrow> </msqrt> </mrow> <mrow> <mn>2</mn> <msub> <mi>tan&amp;delta;k</mi> <mi>a</mi> </msub> </mrow> </mfrac> <mo>)</mo> <mo>)</mo> </mrow> </mrow>
In formula, δ is the angle of friction loosened between the soil body and cutterhead;
302) calculate and loosen average level pressure σ of the soil body to cutterheadah
<mrow> <msub> <mi>&amp;sigma;</mi> <mrow> <mi>a</mi> <mi>h</mi> </mrow> </msub> <mo>=</mo> <mrow> <mo>(</mo> <mfrac> <mn>1</mn> <mn>3</mn> </mfrac> <msup> <mi>fD</mi> <mn>2</mn> </msup> <mo>+</mo> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> <mi>g</mi> <mi>D</mi> <mo>+</mo> <msub> <mi>&amp;sigma;</mi> <mi>p</mi> </msub> <mo>)</mo> </mrow> <msub> <mi>k</mi> <mn>2</mn> </msub> <mo>.</mo> </mrow>
4. according to claim 1 based on facial disfigurement sandy soil stratum tunnel excavation loosening Forecasting Methodology is excavated, its feature exists In the value range for loosening factor beta is 1.030~1.180.
5. according to claim 1 based on facial disfigurement sandy soil stratum tunnel excavation loosening Forecasting Methodology is excavated, its feature exists In the value range of the relaxation zone angle of deflection is 2 °~9 °.
6. according to claim 1 based on facial disfigurement sandy soil stratum tunnel excavation loosening Forecasting Methodology is excavated, its feature exists In relaxation zone longitudinal direction eccentricity epsilonbWith the transversely eccentered rate ε of relaxation zonecValue range be 0.900~0.990.
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