CN107657091B - Method for calculating tunnel bottom displacement of small-clear-distance heavy haul railway cross tunnel - Google Patents
Method for calculating tunnel bottom displacement of small-clear-distance heavy haul railway cross tunnel Download PDFInfo
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Abstract
The invention discloses a method for calculating tunnel bottom displacement of a small-clear-distance heavy haul railway cross tunnel, which comprises the following steps of: calculating the vertical concentration force of the heavy-duty train on the tunnel track bed; (ii) calculating the tunnel bottom displacement under the action of train load; (iii) determining the peripheral stress state of the newly-built lower tunnel influenced by the train load; (iv) calculating the tunnel bottom displacement of the existing tunnel caused by excavation of the underpass tunnel; and (v) calculating and considering the influence of train load and the tunnel bottom displacement of the existing tunnel under the excavation effect of the underpass tunnel. According to the invention, through carrying out stress analysis on surrounding rocks at the cross section, considering the additional load of a heavy haul train, the structural strength of the existing tunnel, the rock strength characteristic, the buried depth of the cross tunnel and the height of the interlayer rock pillar of the cross tunnel, the tunnel bottom displacement value of the cross tunnel of the small-clear-distance heavy haul railway is analyzed and calculated, and the deformation settlement amount of the built tunnel in the tunnel crossing project can be better predicted, so that the requirements of normal operation of the existing tunnel and safe construction of a newly-built tunnel are met.
Description
Technical Field
The invention belongs to a method for calculating tunnel bottom displacement of a tunnel, and particularly relates to a method for calculating tunnel bottom displacement of a small-clear-distance heavy haul railway cross tunnel.
Background
With the annual increase of the traffic line network density in China, various high-risk cross tunnels increase year by year. The construction of the newly-built tunnel at the lower part of the cross section can generate great risk to the safe operation of the existing heavy haul railway at the upper part due to the influence of factors such as the heavy weight of the upper part of the heavy haul train axle, the high impact load amplitude and the like of the cross tunnel of the small clear distance heavy haul railway. Under general conditions, the whole safety of the tunnel can be objectively and effectively judged by researching the displacement deformation rule of the existing tunnel structure. At present, the existing tunnel deformation and settlement prediction research mainly considers the influence of factors such as a newly built tunnel construction method, tunnel burial depth and surrounding rock and soil stratum parameters, and the like, so as to obtain a tunnel deformation and settlement prediction formula corrected by empirical parameters. It should be noted that, in the process of the lower tunnel approach construction, under the influence of the load of the heavy-duty train in the upper tunnel, the stress state of the surrounding rock at the crossing section is extremely complex, and the tunnel deformation settlement amount is further aggravated. Therefore, whether the accuracy of the displacement deformation prediction value of the existing tunnel structure is directly influenced by considering the additional load of the heavy-duty train or not is related to the safety of the crossing tunnel crossing project. Because the existing research does not provide a simple and quick prediction method for the tunnel bottom displacement of the small clear distance heavy haul railway cross tunnel, and the existing tunnel structure settlement calculation mostly does not consider the heavy haul train additional load received by the tunnel cross section at present, the calculation reliability of the existing tunnel displacement settlement is insufficient, and the normal operation of the existing tunnel and the safe construction of the newly built tunnel can not be effectively guaranteed.
Disclosure of Invention
The invention is provided for overcoming the defects in the prior art, and aims to provide a method for calculating the tunnel bottom displacement of a small-clear-distance heavy haul railway cross tunnel.
The technical scheme of the invention is as follows:
a method for calculating tunnel bottom displacement of a small-clear-distance heavy haul railway cross tunnel comprises the following steps:
calculating the vertical concentration force F of the heavy-duty train on the tunnel track bedt(S1)；
(ii) calculating the displacement u of the tunnel bottom under the action of the train load1(S2)；
(iii) determining the peripheral stress state of the newly-built lower tunnel under the influence of the train load (S3);
(iv) calculating the tunnel bottom displacement u of the existing tunnel caused by excavation of the underpass tunnel2(S4)；
(v) calculating and considering train load influence and tunnel excavation workBy shifting the tunnel bottom of the existing tunneld(S5)。
Said vertical concentration force FtThe calculation formula of (2) is as follows:
Ft＝γ1·a·b
in the formula: gamma ray1Converting the soil column gravity; a is the height of the converted soil column; and b is the converted width of the soil column.
The displacement of the tunnel bottom under the action of the train load is realized by calculating the vertical concentration force FtStress state and vertical concentration force F at bottom of tunnel under actiontDisplacement u of tunnel bottom under action1And (4) obtaining.
The tunnel bottom stress state under the action of the vertical concentrated force is as follows:
the tunnel bottom displacement u under the action of vertical concentration force1The calculation formula of (2) is as follows:
in the formula: etThe elastic modulus of the existing tunnel structure; d1The vertical distance between the non-displacement point and the concentration force under the action of the concentration force; r is1Taking the vertical distance l between the surface layer of the existing tunnel ballast bed and the tunnel bottom1。
The method comprises the following steps of determining that the peripheral stress state of a newly-built tunnel under the influence of train load comprises vertical stress and transverse stress, and specifically obtaining the peripheral stress state through the following steps:
(a) calculating the vertical additional stress of the train load on the surrounding rock of the underpass tunnel
In the formula: r is1Vertical distance l between the surface layer of the ballast bed and the center of the interlayer2；
(b) Calculating the buried depth of the newly-built underpass tunnel
H＝h1+h2+h3+R0
In the formula: h is1Burying the tunnel deeply; h is2The existing tunnel height; h is3The height of the surrounding rock interlayer of the cross tunnel is defined; r0Establishing a new tunnel radius;
(c) calculating the original rock stress state of the surrounding rock of the underpass tunnel
P0＝γ2·H
In the formula: gamma ray2The weight of the surrounding rock;
(d) calculating the peripheral vertical stress of the newly-built underpass tunnel
(e) Calculating the peripheral transverse stress of the newly-built underpass tunnel
In the formula: and lambda is the pressure coefficient of the static side of the rock.
The tunnel bottom displacement of the existing tunnel is obtained through the following steps:
(a) calculating the tunnel bottom stress state of the existing tunnel under the excavation effect of the underpass tunnel
(b) Calculating the tunnel bottom displacement u of the existing tunnel under the action of excavation of the underpass tunnel2
In the formula: esIs the rock modulus of elasticity; upsilon is rocky poiseThe bulk ratio; d2The distance between the center of the tunnel and a displacement-free point under the tunnel excavation effect is obtained; r is2Taking down the vertical distance l between the center of the tunnel and the bottom of the existing tunnel3。
The calculation formula of the tunnel bottom displacement of the existing tunnel is as follows: u. ofd＝u1+u2；
Calculated value udNamely, the tunnel bottom total displacement value of the existing tunnel caused by tunnel excavation under the influence of the load of the heavy-duty train is considered.
The invention has the beneficial effects that:
the invention provides a method for calculating tunnel bottom displacement of a small-clearance heavy haul railway cross tunnel, which comprises the steps of establishing a plane analysis model under the load action of a heavy haul train and a newly-established tunnel excavation surrounding rock mechanical analysis model; through carrying out the atress analysis to the surrounding rock of cross section, consider heavy haul train additional load, existing tunnel structural strength, rock mass intensity characteristic, cross tunnel buried depth, cross tunnel intermediate layer rock pillar height, more comprehensively, more rationally considered heavy haul train load and newly-built tunnel excavation combined action under the cross section surrounding rock atress deformation characteristics, the analysis calculates little clear distance heavy haul railway cross tunnel bottom displacement value to satisfy the needs of little clear distance heavy haul railway cross tunnel normal operation. The method can better predict the deformation settlement of the built tunnel in the tunnel crossing project, thereby meeting the requirements of normal operation of the existing tunnel and safe construction of the newly built tunnel.
Drawings
FIG. 1 is a schematic flow chart of a tunnel bottom displacement calculation method of a small-clearance heavy haul railway cross tunnel.
FIG. 2 is a plane analysis model of heavy-duty train conversion equivalent concentrated force.
Fig. 3 is a calculation model of the displacement of the tunnel bottom under the action of concentrated load of the train.
Fig. 4 is a plane calculation model of the tunnel bottom displacement of the existing tunnel caused by the excavation of the underpass tunnel.
Wherein:
1. existing tunnel inverted arch structure 2 and existing tunnel ballast bed surface layer
3. Tunnel bottom displacement prediction line 4 and newly-built underpass tunnel
5. Center line 6 of surrounding rock interlayer of cross section and existing arch crown section line of tunnel
Detailed Description
The method for calculating the tunnel bottom displacement of the small-clear-distance heavy haul railway cross tunnel is described in detail by combining the attached drawings and the embodiment of the specification:
as shown in fig. 1, a method for calculating tunnel bottom displacement of a small-clear-distance heavy haul railway cross tunnel includes the following steps:
calculating the vertical concentration force F of the heavy-duty train on the tunnel track bedt(S1)；
(ii) calculating the displacement u of the tunnel bottom under the action of the train load1(S2)；
(iii) determining the peripheral stress state of the newly-built lower tunnel under the influence of the train load (S3);
(iv) calculating the tunnel bottom displacement u of the existing tunnel caused by excavation of the underpass tunnel2(S4)；
(v) calculating and considering train load influence and tunnel bottom displacement u of the existing tunnel under the excavation effect of the underpass tunneld(S5)。
Said vertical concentration force FtThe calculation formula of (2) is as follows:
Ft＝γ1·a·b
in the formula: gamma ray1Converting the soil column gravity; a is the height of the converted soil column; and b is the converted width of the soil column.
The displacement of the tunnel bottom under the action of the train load is realized by calculating the vertical concentration force FtStress state and vertical concentration force F at bottom of tunnel under actiontDisplacement u of tunnel bottom under action1And (4) obtaining.
The tunnel bottom stress state under the action of the vertical concentrated force is as follows:
the tunnel bottom displacement u under the action of vertical concentration force1The calculation formula of (2) is as follows:
in the formula: etThe elastic modulus of the existing tunnel structure; d1The vertical distance between the non-displacement point and the concentration force under the action of the concentration force; r is1Taking the vertical distance l between the surface layer of the existing tunnel ballast bed and the tunnel bottom1。
The method comprises the following steps of determining that the peripheral stress state of a newly-built tunnel under the influence of train load comprises vertical stress and transverse stress, and specifically obtaining the peripheral stress state through the following steps:
(a) calculating the vertical additional stress of the train load on the surrounding rock of the underpass tunnel
In the formula: r is1Vertical distance l between the surface layer of the ballast bed and the center of the interlayer2；
(b) Calculating the buried depth of the newly-built underpass tunnel
H＝h1+h2+h3+R0
In the formula: h is1Burying the tunnel deeply; h is2The existing tunnel height; h is3The height of the surrounding rock interlayer of the cross tunnel is defined; r0Establishing a new tunnel radius;
(c) calculating the original rock stress state of the surrounding rock of the underpass tunnel
P0＝γ2·H
In the formula: gamma ray2The weight of the surrounding rock;
(d) calculating the peripheral vertical stress of the newly-built underpass tunnel
(e) Calculating the peripheral transverse stress of the newly-built underpass tunnel
In the formula: and lambda is the pressure coefficient of the static side of the rock.
The tunnel bottom displacement of the existing tunnel is obtained through the following steps:
(a) calculating the tunnel bottom stress state of the existing tunnel under the excavation effect of the underpass tunnel
(b) Calculating the tunnel bottom displacement u of the existing tunnel under the action of excavation of the underpass tunnel2
In the formula: esIs the rock modulus of elasticity; upsilon is the rock poisson ratio; d2The distance between the center of the tunnel and a displacement-free point under the tunnel excavation effect is obtained; r is2Taking down the vertical distance l between the center of the tunnel and the bottom of the existing tunnel3。
The calculation formula of the tunnel bottom displacement of the existing tunnel is as follows: u. ofd＝u1+u2；
Calculated value udNamely, the tunnel bottom total displacement value of the existing tunnel caused by tunnel excavation under the influence of the load of the heavy-duty train is considered.
Example 1
The basic parameter settings of the examples are as follows:
conversion of load soil column of 30t heavy-duty train to severe gamma1＝18kN/m3The converted height a of the soil column is 4.1m, and the soil
The converted width b of the column is 5.0m
Elastic modulus E of existing tunnel structuret＝3.0×107kPa
Vertical distance d between non-displacement point and surface layer of ballast bed under action of train concentration force1＝26m
Existing tunnelVertical distance l between surface layer of road bed and tunnel bottom1＝2m
Vertical distance l between the surface layer of the existing tunnel ballast bed and the center of the surrounding rock interlayer2＝10.20m。
Buried depth h of existing tunnel170 m; height h of existing tunnel211.2 m; height of surrounding rock interlayer of cross tunnel
h316.39 m; radius R of newly-built tunnel0＝7.04m
Severe rock gravity gamma2＝25kN/m3
The coefficient lambda of the pressure at the static side of the rock is 1.0
Modulus of elasticity E of rocks＝2.5×107kPa
Poisson ratio upsilon of rock is 0.3
Distance d between displacement-free point and tunnel center under tunnel excavation effect2＝6R0＝42.24m
Vertical distance l between center of underpass tunnel and tunnel bottom of existing tunnel3＝R0+h3＝23.43m
The specific calculation and analysis steps are as follows:
s1: calculating vertical concentration force F of heavy-duty train operating on tunnel ballast bedtThe analytical model is shown in FIG. 2;
determining vertical concentration force F of heavy-duty traint＝γ1·a·b＝18×4.1×5＝369kN/m
S2: calculating the tunnel bottom displacement mu of the existing tunnel under the action of train load1
Calculating the tunnel bottom stress state of the existing tunnel under the action of vertical concentration force
Calculating the tunnel bottom displacement u of the existing tunnel under the action of vertical concentration force1
S3: determining the peripheral stress state of the newly-built tunnel under the influence of the train load, wherein a calculation model is shown in figure 3;
calculating the vertical additional stress of the train load on the surrounding rock of the underpass tunnel
Calculating the buried depth of the newly-built underpass tunnel
H＝h1+h2+h3+R0＝70+11.2+16.39+7.04＝104.63m
Calculating the original rock stress state of the surrounding rock of the underpass tunnel
P0＝γ2·H＝25×104.63＝2620kPa
Calculating the peripheral vertical stress of the newly-built underpass tunnel
Calculating the peripheral transverse stress of the newly-built underpass tunnel
S4, calculating the tunnel bottom displacement u of the existing tunnel caused by the excavation of the underpass tunnel2The calculation model is shown in FIG. 4;
calculating the tunnel bottom stress state of the existing tunnel under the excavation effect of the underpass tunnel
Calculating the tunnel bottom displacement u of the existing tunnel under the excavation effect of the underpass tunnel2
S5, calculating and considering train load influence and tunnel bottom displacement of the existing tunnel under the excavation effect of the underpass tunnel
ud＝u1+u2＝2.0×10-5+1.21×10-4＝1.41×10-4m
Considering that the tunnel bottom total displacement value of the existing tunnel striding caused by excavation of the underpass tunnel under the influence of the load of the heavy-duty train is 1.41 multiplied by 10-4m。
Claims (6)
1. A method for calculating tunnel bottom displacement of a small-clear-distance heavy haul railway cross tunnel is characterized by comprising the following steps of: the method comprises the following steps:
calculating the vertical concentration force F of the heavy-duty train on the tunnel track bedt(S1)；
(ii) calculating the displacement u of the tunnel bottom under the action of the train load1(S2)；
(iii) determining the peripheral stress state of the newly-built lower tunnel under the influence of the train load (S3);
(iv) calculating the tunnel bottom displacement u of the existing tunnel caused by excavation of the underpass tunnel2(S4)；
(v) calculating and considering train load influence and tunnel bottom displacement u of the existing tunnel under the excavation effect of the underpass tunneld(S5)；
The displacement of the tunnel bottom under the action of the train load is realized by calculating the vertical concentration force FtStress state and vertical concentration force F at bottom of tunnel under actiontDisplacement u of tunnel bottom under action1Obtaining;
the tunnel bottom stress state under the action of the vertical concentrated force is as follows:
2. the method for calculating the tunnel bottom displacement of the small clear distance heavy haul railway cross tunnel according to claim 1, wherein the method comprises the following steps: said vertical concentration force FtThe calculation formula of (2) is as follows:
Ft＝γ1·a·b
in the formula: gamma ray1Converting the soil column gravity; a is the height of the converted soil column; and b is the converted width of the soil column.
3. The method for calculating the tunnel bottom displacement of the small clear distance heavy haul railway cross tunnel according to claim 1, wherein the method comprises the following steps: the tunnel bottom displacement u under the action of vertical concentration force1The calculation formula of (2) is as follows:
in the formula: etThe elastic modulus of the existing tunnel structure; d1The vertical distance between the non-displacement point and the concentration force under the action of the concentration force; r is1Taking the vertical distance l between the surface layer of the existing tunnel ballast bed and the tunnel bottom1。
4. The method for calculating the tunnel bottom displacement of the small clear distance heavy haul railway cross tunnel according to claim 1, wherein the method comprises the following steps: the method comprises the following steps of determining that the peripheral stress state of a newly-built tunnel under the influence of train load comprises vertical stress and transverse stress, and specifically obtaining the peripheral stress state through the following steps:
(a) calculating the vertical additional stress of the train load on the surrounding rock of the underpass tunnel
In the formula: r is1Vertical distance l between the surface layer of the ballast bed and the center of the interlayer2；
(b) Calculating the buried depth of the newly-built underpass tunnel
H＝h1+h2+h3+R0
In the formula: h is1Burying the tunnel deeply; h is2The existing tunnel height; h is3The height of the surrounding rock interlayer of the cross tunnel is defined; r0Establishing a new tunnel radius;
(c) calculating the original rock stress state of the surrounding rock of the underpass tunnel
P0＝γ2·H
In the formula: gamma ray2The weight of the surrounding rock;
(d) calculating the peripheral vertical stress of the newly-built underpass tunnel
(e) Calculating the peripheral transverse stress of the newly-built underpass tunnel
In the formula: and lambda is the pressure coefficient of the static side of the rock.
5. The method for calculating the tunnel bottom displacement of the small clear distance heavy haul railway cross tunnel according to claim 1, wherein the method comprises the following steps: the tunnel bottom displacement of the existing tunnel is obtained through the following steps:
(a) calculating the tunnel bottom stress state of the existing tunnel under the excavation effect of the underpass tunnel
(b) Calculating the tunnel bottom displacement u of the existing tunnel under the action of excavation of the underpass tunnel2
In the formula: esIs the rock modulus of elasticity; upsilon is the rock poisson ratio; d2The distance between the center of the tunnel and a displacement-free point under the tunnel excavation effect is obtained; r is2Taking down the vertical distance l between the center of the tunnel and the bottom of the existing tunnel3。
6. The method for calculating the tunnel bottom displacement of the small clear distance heavy haul railway cross tunnel according to claim 1, wherein the method comprises the following steps: the calculation formula of the tunnel bottom displacement of the existing tunnel is as follows: u. ofd＝u1+u2；
Calculated value udNamely, the tunnel bottom total displacement value of the existing tunnel caused by tunnel excavation under the influence of the load of the heavy-duty train is considered.
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| CN112613106B (en) * | 2020-12-24 | 2022-03-25 | 中铁二院工程集团有限责任公司 | Method for calculating tunnel bottom load of tunnel bottom drum section |
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