CN109268067B - Method for judging cold-proof drainage measures of tunnel in cold and severe cold areas - Google Patents

Method for judging cold-proof drainage measures of tunnel in cold and severe cold areas Download PDF

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CN109268067B
CN109268067B CN201811107555.0A CN201811107555A CN109268067B CN 109268067 B CN109268067 B CN 109268067B CN 201811107555 A CN201811107555 A CN 201811107555A CN 109268067 B CN109268067 B CN 109268067B
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CN109268067A (en
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李国良
靳宝成
黄双林
陈霄汉
何永旺
田鹏
谭永庆
符亚鹏
刘国庆
严文翔
张旭珍
徐冲
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China Railway First Survey and Design Institute Group Ltd
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    • EFIXED CONSTRUCTIONS
    • E21EARTH OR ROCK DRILLING; MINING
    • E21FSAFETY DEVICES, TRANSPORT, FILLING-UP, RESCUE, VENTILATION, OR DRAINING IN OR OF MINES OR TUNNELS
    • E21F16/00Drainage
    • E21F16/02Drainage of tunnels

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Abstract

The invention relates to a method for judging cold-proof drainage measures of tunnels in cold and severe cold regions, which comprises the steps of evaluating the solar radiation condition of tunnel portals, and analyzing the solar radiation condition of the tunnel portals in the cold and severe cold regions; calculating an environment evaluation coefficient by using a judgment formula in combination with the average temperature of the coldest month at the tunnel entrance; and selecting cold-proof drainage measures by utilizing the calculated environment evaluation coefficient. The invention overcomes the defect that the cold-proof drainage measure judgment in the prior art cannot be theoretically, qualitatively and quantitatively analyzed, provides a calculation method with pertinence, and improves the accuracy of the cold-proof drainage measure judgment for tunnels in cold and severe cold areas.

Description

Method for judging cold-proof drainage measures of tunnel in cold and severe cold areas
Technical Field
The invention relates to the field of tunnel cold protection, in particular to a method for judging cold protection and drainage measures of tunnels in cold and severe cold areas.
Background
According to the general survey of tunnel freezing injury in severe cold areas established in China, tunnel freezing injury generally starts from local icing of drainage channels. Statistics is carried out on a newly-built high-speed railway tunnel in northwest of China, and the condition that a part of the tunnel is frozen after being built exists, so that driving safety is seriously threatened. Particularly, the tunnel portal is positioned in a region with a low temperature on a shade slope of a mountain, the icing problem is more prominent, and the judgment of the shade slope and the sunny slope of the mountain is directly influenced by solar radiation.
The key to prevent freezing injury is to perfect an effective drainage system and reliable cold-proof heat preservation measures. The main measures of the anti-freezing section of the tunnel in cold and severe cold areas in China are a cold-proof drainage tunnel, a central deep-buried ditch, a heat-preservation ditch and an electric tracing system. When the cold-proof drainage measures of the tunnel portal are designed, a quantitative calculation method is lacked according to the design experience of designers.
Disclosure of Invention
The invention aims to provide a method for judging cold-proof drainage measures of tunnels in cold and severe cold regions, which comprehensively considers the influence factors such as solar radiation quantity, tunnel portal temperature and the like, calculates an environment evaluation coefficient by using a judgment formula and selects corresponding cold-proof drainage measures.
The technical scheme adopted by the invention is as follows:
the method for judging the cold-proof drainage measures of the tunnel in the cold and severe cold areas is characterized by comprising the following steps of:
the method comprises the following steps:
the method comprises the following steps: evaluating the solar radiation condition of the tunnel portal, and analyzing the solar radiation condition of the tunnel portal in cold and severe cold areas;
step two: calculating an environment evaluation coefficient by using a judgment formula in combination with the average temperature of the coldest month at the tunnel entrance;
step three: and selecting cold-proof drainage measures by utilizing the calculated coefficient.
In the first step, the climate environment of the tunnel portal is evaluated through three influence factors of an azimuth angle of a slope where the tunnel portal is located, a natural gradient and a geographical latitude, a solar radiation index of the tunnel portal is calculated, and the solar radiation condition of the tunnel portal is judged; the formula for calculating the solar radiation index of the tunnel portal is shown in formula (1):
Figure BDA0001808262960000021
wherein, IθFor solar radiation at tunnel portalIndexes; i isThe intensity of direct solar radiation at the tunnel portal is obtained; i isThe intensity of the solar scattered radiation at the tunnel portal is obtained; i isObtaining the ground reflected radiation intensity for the tunnel portal; i isDNThe intensity of normal solar radiation refers to the intensity of direct solar radiation in the normal direction of the sun's rays, IDN=I0×Pm,I0Is the solar constant, P is the atmospheric transparency coefficient, m is the atmospheric mass,
Figure BDA0001808262960000022
h is the solar altitude, I is the solar incident angle, cosi is cos θ sinh + sin θ coshcos (α - γ), γ is the azimuth of the inclined plane, α is the solar azimuth, I is the solar altitudeDHIntensity of direct solar radiation in horizontal direction, IDH=IDNsinh=I0Pmsinh;IdHIntensity of solar scattered radiation in horizontal direction
Figure BDA0001808262960000031
Theta is the inclination angle of the slope where the tunnel portal is located; rhoGThe surface reflectivity of the slope where the tunnel is located; i ishIs the total radiation intensity in the horizontal direction,
calculating an environment evaluation coefficient by using a judgment formula; the environment evaluation coefficient is calculated by formula (2).
Figure BDA0001808262960000033
In the formula, T is the average temperature of the coldest moon at the opening, and is DEG C;
Iθ-a tunnel portal solar radiation index;
p is environment evaluation coefficient;
Figure BDA0001808262960000034
solar radiation and deep burying of central ditch, heat-insulating ditch and cold-proof drainThe water tunnel sets the average of the length-related coefficients,r1setting a length correlation coefficient r 'for solar radiation and deep-buried central ditch'1Setting a length correlation coefficient r for the solar radiation and the heat preservation ditch1"set up the length correlation coefficient for solar radiation and winter protection sluicing cave, wherein calculate and get
Figure BDA0001808262960000037
The average value of the correlation coefficient of the average temperature of the coldest month and the length of the deep buried central ditch (or the electric tracing heating wire),
Figure BDA0001808262960000038
r2setting a length correlation coefficient r 'for the coldest-month average air temperature and the deeply buried central ditch'2Setting a length correlation coefficient r for the average temperature of the coldest month and the heat preservation ditch2"is the correlation coefficient of the average temperature of the coldest month and the set length of the cold-proof drainage tunnel, and is calculated
Figure BDA0001808262960000041
η — control parameter, η ═ 6.95, statistically derived from the established tunnel survey.
Each correlation coefficient involved in the second step is used for measuring a linear relation between two variables, and the calculation method is shown as formula (3):
where Cov (X, Y) is the covariance of X and Y, Var [ X ] is the variance of X, and Var [ Y ] is the variance of Y.
In step three, the cold-proof drainage measure determination conditions are shown in table 1:
TABLE 1 Cold-proof drainage measure judgment conditions
Judging coefficient P Main heat preservation measure
0≤P<0.36 Is free of
0.36≤P<1.0 Heat preservation ditch
1.0≤P<1.9 Deep-buried central ditch
P≥1.9 Cold-proof water drainage tunnel
When the solar radiation index is calculated, part of variables are assigned, wherein the solar azimuth angle α is 0, the solar azimuth angle refers to the solar azimuth angle when the time is 12, the atmospheric transparency coefficient P is 0.722, and the earth surface reflectivity rho of the slope surface where the tunnel is locatedGIs 0.2; solar constant I01 is taken.
The formula for calculating the setting length of the heat preservation ditch is shown in formula (4):
Figure BDA0001808262960000043
the calculation formula of the setting length of the deep-buried central ditch is shown in formula (4):
Figure BDA0001808262960000044
the calculation formula of the setting length of the cold-proof spillway tunnel is shown in formula (6):
Figure BDA0001808262960000051
the invention has the following advantages:
the invention relates to a method for judging cold-proof drainage measures of tunnels in cold and severe cold areas, which comprises the following steps: evaluating the solar radiation condition of the tunnel portal, and analyzing the solar radiation condition of the tunnel portal in cold and severe cold areas; and calculating the environment evaluation coefficient by using a judgment formula in combination with the average temperature of the coldest month at the tunnel entrance. And selecting cold-proof drainage measures by utilizing the calculated environment evaluation coefficient. The invention overcomes the defect that the cold-proof drainage measure judgment in the prior art cannot be theoretically, qualitatively and quantitatively analyzed, provides a calculation method with pertinence, and improves the accuracy of the cold-proof drainage measure judgment for tunnels in cold and severe cold areas.
Detailed Description
The present invention will be described in detail with reference to specific embodiments.
The invention relates to a method for judging cold-proof drainage measures of tunnels in cold and severe cold areas, which comprises the following steps:
the method comprises the following steps: evaluating the solar radiation condition of the tunnel portal, and analyzing the solar radiation condition of the tunnel portal in cold and severe cold areas;
step two: and calculating the environment evaluation coefficient by using a judgment formula in combination with the average temperature of the coldest month at the tunnel entrance.
Step three: and selecting cold-proof drainage measures by utilizing the calculated coefficient.
The method for judging the cold-proof drainage measures of the tunnel in the cold and severe cold areas is characterized in that in the step one, the weather environment of the tunnel portal is evaluated through three influence factors, namely an azimuth angle of a slope where the tunnel portal is located, a natural gradient and a geographical latitude, the solar radiation index of the tunnel portal is calculated, and the solar radiation condition of the tunnel portal is judged. The formula for calculating the solar radiation index of the tunnel portal is shown in formula (1):
Figure BDA0001808262960000061
wherein, IθThe solar radiation index is the solar radiation index of the tunnel portal; i isThe intensity of direct solar radiation at the tunnel portal is obtained; i isThe intensity of the solar scattered radiation at the tunnel portal is obtained; i isObtaining the ground reflected radiation intensity for the tunnel portal; i isDNThe intensity of normal solar radiation refers to the intensity of direct solar radiation in the normal direction of the sun's rays, IDN=I0×Pm,I0Is the solar constant, P is the atmospheric transparency coefficient, m is the atmospheric mass,
Figure BDA0001808262960000062
h is the solar altitude, I is the solar incident angle, cosi is cos θ sin h + sin θ cosh cos (α - γ), γ is the azimuth of the inclined plane, α is the solar azimuth, I is the solar azimuthDHIntensity of direct solar radiation in horizontal direction, IDH=IDNsin h=I0Pmsin h;IdHIntensity of solar scattered radiation in horizontal direction
Figure BDA0001808262960000063
Theta is the inclination angle of the slope where the tunnel portal is located; rhoGThe surface reflectivity of the slope where the tunnel is located; i ishIs the total radiation intensity in the horizontal direction,
Figure BDA0001808262960000064
the method for judging the cold-proof drainage measures of the tunnel in the cold and severe cold areas is characterized in that in the second step, an environment evaluation coefficient is calculated by using a judgment formula. The environment evaluation coefficient is calculated by formula (2).
Figure BDA0001808262960000065
In the formula, T is the average temperature of the coldest moon at the opening, and is DEG C;
Iθ-a tunnel portal solar radiation index;
p is environment evaluation coefficient;
the average value of the correlation coefficients of the solar radiation and the setting lengths of the deep buried central ditch, the heat preservation ditch and the cold-proof drainage tunnel,
Figure BDA0001808262960000072
r1setting a length correlation coefficient r 'for solar radiation and deep-buried central ditch'1Setting a length correlation coefficient r for the solar radiation and the heat preservation ditch1"set up the length correlation coefficient for solar radiation and winter protection sluicing cave, wherein calculate and get
Figure BDA0001808262960000073
The average value of the correlation coefficient of the average temperature of the coldest month and the length of the deep buried central ditch (or the electric tracing heating wire),
Figure BDA0001808262960000075
r2setting a length correlation coefficient r 'for the coldest-month average air temperature and the deeply buried central ditch'2Setting a length correlation coefficient r for the average temperature of the coldest month and the heat preservation ditch2"is the correlation coefficient of the average temperature of the coldest month and the set length of the cold-proof drainage tunnel, and is calculated
Figure BDA0001808262960000076
η is the control parameter obtained from the survey statistics of the established tunnel, η is 6.95.
The correlation coefficient is used for measuring the linear relation between two variables, and the calculation method is shown as formula (3):
where Cov (X, Y) is the covariance of X and Y, Var [ X ] is the variance of X, and Var [ Y ] is the variance of Y.
The method for judging the cold-proof drainage measures of the tunnel in the cold and severe cold areas is characterized in that in the third step, the cold-proof drainage measure judgment conditions are shown in a table 1:
TABLE 1 Cold-proof drainage measure judgment conditions
Judging coefficient P Main heat preservation measure
0≤P<0.36 Is free of
0.36≤P<1.0 Heat preservation ditch
1.0≤P<1.9 Deep-buried central ditch
P≥1.9 Cold-proof water drainage tunnel
The tunnel portal solar radiation index calculation formula is characterized in that the solar radiation of the tunnel portal is influenced by factors such as solar ray incidence angle, terrain, cloud cover, portal micro-terrain and the like. China has few stations for directly measuring solar radiation, and a plurality of areas have no observed values of the solar radiation and need indirect calculation, so a solar radiation calculation model with simple form and few undetermined parameters needs to be selected in calculation. In order to simplify the calculation process, the invention assigns values to partial variables when calculating the solar radiation index, wherein:the sun azimuth angle α is 0, which means the sun azimuth angle at the time of 12, the P atmosphere transparency coefficient is 0.722, and the earth surface reflectivity rho of the slope surface where the tunnel is positionedGIs 0.2; solar constant I01 is taken.
The cold-proof drainage measure judgment condition is characterized in that the calculation formula of the setting length of the heat-preservation ditch is shown in a formula (4):
Figure BDA0001808262960000081
the cold-proof drainage measure judgment condition is characterized in that a calculation formula of the length of the deeply buried central ditch is shown in a formula (5):
Figure BDA0001808262960000082
the cold-proof drainage measure judgment condition is characterized in that a cold-proof drainage tunnel arrangement length calculation formula is shown in a formula (6):
Figure BDA0001808262960000091
the tunnel heat-insulation ditch in the cold and severe cold areas is provided with a length calculation formula, a deep-buried central ditch is provided with a length calculation formula, and a cold-proof drainage tunnel is provided with a length calculation formula, wherein the application range is as follows:
the fitting process of the tunnel heat-preservation ditch setting length calculation formula, the deep-buried central ditch setting length calculation formula and the cold-proof drainage tunnel setting length calculation formula in the cold and severe cold areas is established on the basis of the actually measured drainage channel icing length of the railway tunnel in the cold or severe cold areas in China, the tunnel position is in a high-altitude area with lower temperature in the northwest area of China, and the applicability of tunnels in other cold or severe cold areas such as the northeast of China needs to be further demonstrated;
limited by measured data, the tunnel heat-insulating ditch setting length calculation formula in cold and severe cold regions, the deep-buried central ditch setting length calculation formula and the cold-proof sluicehole setting length calculation formula are only suitable for tunnels with the heat-insulating ditch at the coldest-month average temperature of the tunnel entrance between-4.44 ℃ and-18.0 ℃ and the need of further verification on the adaptability of the tunnel entrance with the coldest-month average temperature lower than-18.0 ℃.
The invention is not limited to the examples, and any equivalent changes to the technical solution of the invention by a person skilled in the art after reading the description of the invention are covered by the claims of the invention.

Claims (8)

1. The method for judging the cold-proof drainage measures of the tunnel in the cold and severe cold areas is characterized by comprising the following steps of:
the method comprises the following steps:
the method comprises the following steps: evaluating the solar radiation condition of the tunnel portal, and analyzing the solar radiation condition of the tunnel portal in cold and severe cold areas;
step two: calculating an environment evaluation coefficient by using a judgment formula in combination with the average temperature of the coldest month at the tunnel entrance;
step three: selecting cold-proof drainage measures by utilizing the calculated coefficient;
in the first step, the climate environment of the tunnel portal is evaluated through three influence factors of an azimuth angle of a slope where the tunnel portal is located, a natural gradient and a geographical latitude, a solar radiation index of the tunnel portal is calculated, and the solar radiation condition of the tunnel portal is judged; the formula for calculating the solar radiation index of the tunnel portal is shown in formula (1):
Figure FDA0002216441980000011
wherein, IθThe solar radiation index is the solar radiation index of the tunnel portal; i isThe intensity of direct solar radiation at the tunnel portal is obtained; i isThe intensity of the solar scattered radiation at the tunnel portal is obtained; i isObtaining the ground reflected radiation intensity for the tunnel portal; i isDNThe intensity of normal solar radiation refers to the intensity of direct solar radiation in the normal direction of the sun's rays, IDN=I0×Pm,I0Is the solar constant, P is the atmospheric transparency coefficient, m is the atmospheric mass,
Figure FDA0002216441980000021
h is the solar altitude, I is the solar incident angle, cos I is cos θ sin h + sin θ cos (α - γ), γ is the azimuth of the inclined plane, α is the solar azimuth, I is the solar azimuthDHIntensity of direct solar radiation in horizontal direction, IDH=IDNsin h=I0Pmsin h;IdHIntensity of solar scattered radiation in horizontal direction
Figure FDA0002216441980000022
Theta is the inclination angle of the slope where the tunnel portal is located; rhoGThe surface reflectivity of the slope where the tunnel is located; i ishIs the total radiation intensity in the horizontal direction,
Figure FDA0002216441980000023
2. the method for determining the measures for preventing cold and draining water in the tunnel in the cold and severe cold areas as claimed in claim 1, wherein:
calculating an environment evaluation coefficient by using a judgment formula; the environment evaluation coefficient is obtained by calculation according to a formula (2);
in the formula, T is the average temperature of the coldest moon at the opening, and is DEG C;
Iθ-a tunnel portal solar radiation index;
p is environment evaluation coefficient;
the average value of the correlation coefficients of the solar radiation and the setting lengths of the deep buried central ditch, the heat preservation ditch and the cold-proof drainage tunnel,
Figure FDA0002216441980000026
r1setting a length correlation coefficient, r, for solar radiation and a deep-buried central ditch1' setting a length-related coefficient, r, for solar radiation and a thermal insulation ditch1"set up the length correlation coefficient for solar radiation and winter protection sluicing cave, wherein calculate and get
Figure FDA0002216441980000031
The average value of the correlation coefficient of the average temperature of the coldest month and the length of the deep buried central ditch (or the electric tracing heating wire),r2setting a length correlation coefficient r 'for the coldest-month average air temperature and the deeply buried central ditch'2Setting a length correlation coefficient r for the average temperature of the coldest month and the heat preservation ditch2"is the correlation coefficient of the average temperature of the coldest month and the set length of the cold-proof drainage tunnel, and is calculated
Figure FDA0002216441980000034
η — control parameter, η ═ 6.95, statistically derived from the established tunnel survey.
3. The method for determining the measures for preventing cold and draining water in the tunnel in the cold and severe cold areas as claimed in claim 2, wherein:
each correlation coefficient involved in the second step is used for measuring a linear relation between two variables, and the calculation method is shown as formula (3):
Figure FDA0002216441980000035
where Coy (X, Y) is the covariance of X and Y, Var [ X ] is the variance of X, and Var [ Y ] is the variance of Y.
4. The method for determining the measures for preventing cold and draining water in the tunnel in the cold and severe cold areas as claimed in claim 3, wherein:
in step three, the cold-proof drainage measure determination conditions are shown in table 1:
TABLE 1 Cold-proof drainage measure judgment conditions
Judging coefficient P Main heat preservation measure 0≤P<0.36 Is free of 0.36≤P<1.0 Heat preservation ditch 1.0≤P<1.9 Deep-buried central ditch P≥1.9 Cold-proof water drainage tunnel
5. The method for determining the measures for preventing cold and draining water in the tunnel in the cold and severe cold areas as claimed in claim 4, wherein:
when the solar radiation index is calculated, part of variables are assigned, wherein the solar azimuth angle α is 0, the solar azimuth angle refers to the solar azimuth angle when the time is 12, the atmospheric transparency coefficient P is 0.722, and the earth surface reflectivity rho of the slope surface where the tunnel is locatedGIs 0.2;solar constant I01 is taken.
6. The method for determining the measures for preventing cold and draining water in the tunnel in the cold and severe cold areas as claimed in claim 5, wherein:
the formula for calculating the setting length of the heat preservation ditch is shown in formula (4):
Figure FDA0002216441980000041
7. the method for determining the measures for preventing cold and draining water in the tunnel in the cold and severe cold areas as claimed in claim 5, wherein:
the calculation formula of the setting length of the deep-buried central ditch is shown in formula (4):
8. the method for determining the measures for preventing cold and draining water in the tunnel in the cold and severe cold areas as claimed in claim 5, wherein:
the calculation formula of the setting length of the cold-proof spillway tunnel is shown in formula (6):
Figure FDA0002216441980000043
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