CN102194053A - Road tunnel frozen injury analysis method - Google Patents

Road tunnel frozen injury analysis method Download PDF

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CN102194053A
CN102194053A CN2011100813605A CN201110081360A CN102194053A CN 102194053 A CN102194053 A CN 102194053A CN 2011100813605 A CN2011100813605 A CN 2011100813605A CN 201110081360 A CN201110081360 A CN 201110081360A CN 102194053 A CN102194053 A CN 102194053A
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tunnel
fuzzy
event
freeze injury
freezing damage
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CN102194053B (en
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罗彦斌
陈建勋
蒋云鹏
屈文
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Changan University
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Abstract

The invention relates to a road tunnel frozen injury analysis method which can be used for accurately analyzing and computing the importance of each main factor influencing the tunnel frozen injury with convenience, reliability and storing operability. The technical scheme is as follows: on the basis of taking the frozen injury occurrence as an initial event, and the water seepage and icing of a tunnel lining, the overflow and icing of a road surface and the peeling of the lining as subsequent events, establishing a tunnel frozen injury fault tree; then constructing a membership function of a fuzzy number and a T-S (Takagi-Sugeno) fuzzy door; and computing and analyzing the importance of each main factor influencing the tunnel frozen injury by using a T-S fuzzy fault computing method.

Description

Vcehicular tunnel freeze injury analytical approach
One, technical field:
The present invention relates to a kind of engineering freeze injury analytical approach, especially relate to a kind of vcehicular tunnel freeze injury analytical approach, it utilizes the T-S fuzzy fault tree theory vcehicular tunnel freeze injury situation of analyzing and researching.
Two, background technology:
In the background technology, freeze injury is a great problem of Tunnel Engineering circle, and numerous scientific workers are devoted to the research that freezing damage in tunnel produces reason, freeze injury mechanism and prophylactico-therapeutic measures, and have obtained some achievements.Yet the reason that freezing damage in tunnel takes place in the actual engineering has complicacy and ambiguity, and the uncertainty of data, and simple dependence personal experience carries out the freezing damage in tunnel analysis, lacks science and accuracy.Therefore, must seek a kind of scientific analysis method.If regard freezing damage in tunnel as in the normal use in tunnel a kind of fault, then can set up the freezing damage in tunnel fault tree, this fault of freezing damage in tunnel is analyzed and studied.Yet, when traditional fault tree is set up, need to be grasped the mechanism that fault produces, and need know the contact between incident.At present, owing to the reason complexity that freezing damage in tunnel takes place, the research of freeze injury mechanism is not thorough, and the freezing damage in tunnel tree is set up difficulty, and the freeze injury that causes being difficult to the tunnel produces is analyzed.
Three, summary of the invention:
The present invention provides a kind of vcehicular tunnel freeze injury analytical approach in order to solve the weak point in the above-mentioned background technology, its accurately analysis meter calculate the importance degree that influences each principal element of freezing damage in tunnel, convenient, reliable, strong operability.
For achieving the above object, the technical solution used in the present invention is:
A kind of vcehicular tunnel freeze injury analytical approach is characterized in that: adopt T-S fuzzy fault tree theory to set up the freezing damage in tunnel fault tree, the reason that freezing damage in tunnel produces is analyzed.
Concrete technical scheme is: occur as primary event with freezing damage in tunnel, leaking with tunnel-liner, icing, road surface spilling water freezes, lining cutting flake-off piece is a successor, set up the freezing damage in tunnel fault tree, construct the subordinate function and the fuzzy door of T-S of fuzzy number then, adopt T-S fuzzy fault tree computing method that the importance degree that influences each principal element of freezing damage in tunnel is calculated and analyzes.
Concrete technical scheme may further comprise the steps:
(1) choose that tunnel-liner leaks that icing, tunnel road surface spilling water freezes and tunnel-liner flake-off piece as the intermediate event of freezing damage in tunnel fault tree, be top event with vcehicular tunnel generation freeze injury, set up the freeze injury tree;
(2) tunnel-liner is leaked icing, tunnel road surface spilling water freezes and the intermediate event of these 3 freezing damage in tunnel fault trees of tunnel-liner flake-off piece as top event, adopt T-S fuzzy fault tree theory to set up separately fault tree;
(3) subordinate function of structure fuzzy number;
(4) the fuzzy door of structure T-S;
(5), and, calculate the various fuzzy possibilities of higher level's freeze injury incident according to the fuzzy door of T-S by the current state and the fuzzy possibility of subordinate's freeze injury incident;
(6) malfunction of supposing known each bottom event is a certain value, by changing the malfunction of one of them bottom event, calculates the importance degree of this bottom event to top event, and then analyzes the reason that freezing damage in tunnel produces.
Compared with prior art, the advantage and the effect that have of the present invention is as follows:
The present invention adopts T-S fuzzy fault tree theory to set up the freezing damage in tunnel fault tree, makes the foundation of freezing damage in tunnel fault tree no longer rely on a large amount of freeze injury data, also is no longer dependent on the in-depth analysis to freeze injury mechanism.This method can utilize T-S fuzzy fault tree computing method that the importance degree that influences each incident of freezing damage in tunnel is calculated, and analyzes the profound reason that freezing damage in tunnel produces.
Four, description of drawings:
Fig. 1 is a tunnel in cold area freeze injury fault tree;
Fig. 2 is the tunnel-liner T-S fuzzy fault tree of freezing of leaking;
Fig. 3 is the icing T-S fuzzy fault tree of tunnel road surface spilling water;
Fig. 4 is a tunnel-liner flake-off piece T-S fuzzy fault tree;
Fig. 5 is the subordinate function of fuzzy tree;
Fig. 6 is the fuzzy door of T-S;
Fig. 7 is the example tunnel-liner of the present invention influence of each bottom event to the top event probability of malfunction of freezing of leaking;
Five, embodiment:
At first, set up vcehicular tunnel freeze injury fault tree.
Before carrying out fault tree foundation, do following supposition: 1. the freezing damage in tunnel fault is only studied the freeze injury that tunnel structure takes place, and does not consider the fault that equipment such as ventilation in the tunnel, illumination, communication take place because of freeze injury; 2. the freezing damage in tunnel fault all is outside visible, comprises that leak icing, road surface spilling water of lining cutting freezes and lining cutting flake-off piece, does not consider inner recessive sightless freeze injury.
Choose that tunnel-liner leaks that icing, tunnel road surface spilling water freezes and tunnel-liner flake-off piece as the intermediate event of freezing damage in tunnel fault tree, be top event with vcehicular tunnel generation freeze injury, set up the freeze injury tree, as shown in Figure 1.
Tunnel-liner leaked that icing, tunnel road surface spilling water freezes and the intermediate event of these 3 freezing damage in tunnel fault trees of tunnel-liner flake-off piece as top event, adopt T-S fuzzy fault tree theory to set up separately fault tree, as Fig. 2～shown in Figure 4.Wherein, intermediate event is used
Figure 2011100813605100002DEST_PATH_IMAGE001
Expression, bottom event is used
Figure 144100DEST_PATH_IMAGE002
Expression, the title of each incident is shown in table 1～table 3.
The table 1 tunnel-liner icing event of failure that leaks
Code name Title Code name Title
y 1 The country rock joint fissure is grown x 4 The grouting layer design and construction are improper
y 2 The water yield increases in the tunnel surrounding x 5 The grouting layer multigelation
y 3 The grouting for water-blocking layer lost efficacy x 6 Water barrier seam imprecision
y 4 The back, tunnel has swelling to go out x 7 Waterproof layer material is defective
y 5 The water barrier breakage x 8 The sprayed concrete surface irregularity
y 6 Water barrier lost efficacy x 9 Construction joint or waterproofing of movement joints are improper
y 7 The chemical reaction crack X 10 Concrete shrinkage
y 8 Thermal cracking X 11 Steel bar corrosion
y 9 Pressure from surrounding rock is excessive X 12 Alkali-aggregate reaction
y 10 There is mass defect in lining cutting X 13 Hydration heat
y 11 Lining cutting is impacted X 14 Variation of ambient temperature
y 12 Overload crack X 15 The preliminary bracing undercapacity
y 13 The inner crack that produces of lining cutting X 16 Lining cutting applies too early
y 14 Tunnel Lining Cracks X 17 Falling rocks impacts lining cutting in the country rock
y 15 Tunnel-liner is leaked icing X 18 The lining thickness deficiency
x 1 Washing away repeatedly of flowing water X 19 Cavity, lining cutting back
x 2 The country rock multigelation X 20 The lining cutting undercapacity
x 3 Face of land continuous rainfall or snow melt
The table 2 tunnel road surface spilling water event of failure that freezes
Code name Title Code name Title
y 1 Silt stops up x 2 The Drainage Design construction wrong
y 2 Freezing obstruction x 3 The construction waste residue is not cleared up in the trench drain
y 3 Stop up x 4 Washing away sand in the trench drain does not clear up
y 4 The damage of breaking x 5 Freeing port is not done insulation and is handled
y 5 Unwatering system lost efficacy x 6 The trench drain is not done insulation and is handled
y 6 The tunnel road surface spilling water freezes x 7 The icing frost heave in trench drain is damaged
x 1 Rich groundwater in the country rock x 8 The trench drain accidental damage
Table 3 tunnel-liner flake-off piece freeze injury incident
Code name Title Code name Title
y 1 The external environment influence x 3 The lining cutting carbonization
y 2 The lining material deterioration x 4 Lining cutting is subjected to acid, salt corrosion
y 3 The local pressure effect x 5 The lining cutting multigelation
y 4 Tunnel-liner flake-off piece x 6 The country rock frost-heaving force
x 1 The lining cutting raw material quality is defective x 7 Lining cutting back water pressure
x 2 Lining construction is off quality x 8 Lining cutting back ponding frost heave
Then, the subordinate function of structure fuzzy number.
Adopt the quadrilateral subordinate function
Figure 2011100813605100002DEST_PATH_IMAGE003
:
Figure 936607DEST_PATH_IMAGE004
（1）
Wherein:
Figure 2011100813605100002DEST_PATH_IMAGE005
Be the center of fuzzy number support set,
Figure 778661DEST_PATH_IMAGE006
With
Figure 2011100813605100002DEST_PATH_IMAGE007
For about support radius,
Figure 986920DEST_PATH_IMAGE008
With Be confusion region, the left and right sides.
By subordinate function
Figure 863609DEST_PATH_IMAGE003
The fuzzy number of describing is called fuzzy number
Figure 499121DEST_PATH_IMAGE010
, according to shown in Figure 5,
Figure 766154DEST_PATH_IMAGE010
Can be expressed as:
Figure DEST_PATH_IMAGE011
（2）
For Tunnel Engineering, the degree of freeze injury probability of happening can be chosen fuzzy number at 0～1 and describe, and freeze injury probability of happening degree can be divided into large, medium and small, and available fuzzy number 0,0.5,1 is described, and generally can think promptly have the subordinate function left-right symmetric of fuzzy number
Figure 27371DEST_PATH_IMAGE012
,
Figure DEST_PATH_IMAGE013
Secondly, the fuzzy door of structure T-S.
The fuzzy door of T-S is made up of a series of IF-THEN fuzzy rules, is a kind of omnipotent device that approaches, and can be used to the contact of the incident of describing.The T-S model can be expressed as follows:
Known regimes
Figure 509299DEST_PATH_IMAGE014
If
Figure DEST_PATH_IMAGE015
For
Figure 378029DEST_PATH_IMAGE016
,
Figure DEST_PATH_IMAGE017
For
Figure 194675DEST_PATH_IMAGE018
..., then
Figure DEST_PATH_IMAGE019
For
Figure 574815DEST_PATH_IMAGE020
Wherein: Be event variable,
Figure 160517DEST_PATH_IMAGE022
Be fuzzy set.If the subordinate function of fuzzy set is
Figure DEST_PATH_IMAGE023
, then the T-S model is output as:
（3）
Figure DEST_PATH_IMAGE025
Figure 520402DEST_PATH_IMAGE026
， （4）
Figure DEST_PATH_IMAGE027
（5）
Available following formula calculates:
Figure 2011100813605100002DEST_PATH_IMAGE029
（6）
Wherein
Figure 2011100813605100002DEST_PATH_IMAGE031
Execution degree for fuzzy rule l is calculated as follows:
（7）
If basic freeze injury incident
Figure 2011100813605100002DEST_PATH_IMAGE033
Higher level's freeze injury incident be
Figure 400262DEST_PATH_IMAGE019
, then its contact can be represented by following Fig. 6.
Suppose basic freeze injury incident
Figure 129183DEST_PATH_IMAGE033
With higher level's freeze injury incident
Figure 270314DEST_PATH_IMAGE019
Fault degree is described as fuzzy number respectively
Figure 581341DEST_PATH_IMAGE034
With
Figure DEST_PATH_IMAGE035
, wherein:
Figure 415305DEST_PATH_IMAGE036
（8）
Then the fuzzy door of T-S can be expressed as following fuzzy rule:
Known regimes
If For
Figure DEST_PATH_IMAGE039
,
Figure 931005DEST_PATH_IMAGE040
For
Figure DEST_PATH_IMAGE041
, and
Figure 345806DEST_PATH_IMAGE042
For
Figure DEST_PATH_IMAGE043
, then
Figure 101403DEST_PATH_IMAGE019
For
Figure 601655DEST_PATH_IMAGE044
Possibility be
Figure DEST_PATH_IMAGE045
Possibility be
Figure 835321DEST_PATH_IMAGE046
Wherein:
Figure DEST_PATH_IMAGE047
Figure 370208DEST_PATH_IMAGE048
For the rule sum, satisfy
Figure DEST_PATH_IMAGE049
Note
Figure DEST_PATH_IMAGE051
If the fault degree of known basic freeze injury incident is , then can estimate the fuzzy possibility of higher level's freeze injury incident fault degree by the T-S model.
Figure 172073DEST_PATH_IMAGE054
（9）
Wherein:
Figure DEST_PATH_IMAGE055
（10）
In the formula
Figure 159620DEST_PATH_IMAGE056
Expression the
Figure 196978DEST_PATH_IMAGE058
In the bar rule The degree of membership of corresponding fuzzy set.
The fuzzy possibility of supposing the various fault degrees of basic freeze injury incident is
Figure 320791DEST_PATH_IMAGE060
, then regular
Figure DEST_PATH_IMAGE061
The possibility of carrying out is:
Figure 418192DEST_PATH_IMAGE062
（11）
Therefore the fuzzy possibility of higher level's freeze injury incident is:
Figure DEST_PATH_IMAGE063
（12）
By the fuzzy possibility of subordinate's freeze injury incident and according to the fuzzy door of T-S, can get the various fuzzy possibilities of higher level's freeze injury incident with formula (12); By the current state of subordinate's freeze injury incident, and, can estimate the fuzzy possibility of higher level's freeze injury incident with formula (9) according to the fuzzy door of T-S.
At last, carry out the bottom event importance degree and calculate, analyze the reason that freezing damage in tunnel produces.
The malfunction of supposing known each bottom event is a certain value, by changing the malfunction of one of them bottom event, analyzes the importance degree of this bottom event to top event.
The fault current state of known each bottom event of freeze injury is a certain value, only change the malfunction of some freeze injury bottom events, according to the fuzzy door of T-S, employing formula (9) estimates the fuzzy possibility of freeze injury top event then, and then analyze the importance degree of this freeze injury bottom event to top event, i.e. influence degree.
Embodiment:
Leaking icing with tunnel-liner is that example is analyzed.The T-S fuzzy fault tree as shown in Figure 2, the title of each incident is as shown in table 1.
Suppose x 1, x 2..., x 20And y 1, y 2..., y 14The most common failure degree be (0,0.5,1), subordinate function is elected as
Figure 706085DEST_PATH_IMAGE064
,
Figure DEST_PATH_IMAGE065
y 15The most common failure degree be (0,1), subordinate function is elected as , Rule of thumb can obtain the fuzzy door of 15 T-S, wherein door 1 is identical with 6, and door 3,4,8,9,12 is identical with 14, and door 7,10 is identical with 13.Here gone out 1,2,3,5,7,11 and 15, as shown in table 4.
Figure 2011100813605100002DEST_PATH_IMAGE069
Figure 2011100813605100002DEST_PATH_IMAGE071
According to the tunnel-liner of having set up T-S fuzzy fault tree and the fault door of freezing that leak, analyze each bottom event x 1, x 2..., x 20Importance degree influence to top event.The malfunction of supposing each bottom event is 0.2, changes the malfunction of one of them bottom event respectively, analyzes the influence of its change to top event.The top event tunnel-liner is leaked icing fault degree for (0,1), i.e. tunnel-liner is leaked to freeze and taken place or do not take place.According to tunnel-liner each rule of fuzzy door defined in the fault tree of freezing of leaking, adopt the T-S fuzzy fault tree analysis method to calculate.The situation that probability of malfunction when the analysis top event does not take place changes with each bottom event malfunction, as shown in Figure 7.
As seen from Figure 7, along with the increase of each bottom event malfunction, the probability of malfunction that top event does not take place reduces, but each bottom event has nothing in common with each other to the influence degree of top event.Bottom event
Figure 722856DEST_PATH_IMAGE072
Water barrier seam imprecision has the greatest impact to top event,
Figure 2011100813605100002DEST_PATH_IMAGE073
Grouting layer design and construction improper and
Figure 725578DEST_PATH_IMAGE074
Secondly the influence of grouting layer multigelation is then
Figure 2011100813605100002DEST_PATH_IMAGE075
Face of land continuous rainfall or snow melt can obtain following relational expression according to its importance degree:
Figure 687718DEST_PATH_IMAGE076
This shows that water barrier breakage, grouting for water-blocking layer were lost efficacy, face of land continuous rainfall or snow melt and construction joint or waterproofing of movement joints are improper is to cause the tunnel-liner icing key factor of leaking.The inefficacy of water barrier and the intrusion of water are the tunnel-liner icing key issues of leaking, and this and actual conditions are coincide.Generation lining cutting leak most important reason of freezing in most of tunnels is exactly that tunnel water proofing goes wrong, and invades with a large amount of underground water direct relation is arranged.

Claims (3)

1. a vcehicular tunnel freeze injury analytical approach is characterized in that: adopt T-S fuzzy fault tree theory to set up the freezing damage in tunnel fault tree, the reason that freezing damage in tunnel produces is analyzed.
2. vcehicular tunnel freeze injury analytical approach according to claim 1, it is characterized in that: occur as primary event with freezing damage in tunnel, leaking with tunnel-liner, icing, road surface spilling water freezes, lining cutting flake-off piece is a successor, set up the freezing damage in tunnel fault tree, construct the subordinate function and the fuzzy door of T-S of fuzzy number then, adopt T-S fuzzy fault tree computing method that the importance degree that influences each principal element of freezing damage in tunnel is analyzed.
3. vcehicular tunnel freeze injury analytical approach according to claim 2 is characterized in that: may further comprise the steps:
(1) choose that tunnel-liner leaks that icing, tunnel road surface spilling water freezes and tunnel-liner flake-off piece as the intermediate event of freezing damage in tunnel fault tree, be top event with vcehicular tunnel generation freeze injury, set up the freeze injury tree;
(2) tunnel-liner is leaked icing, tunnel road surface spilling water freezes and the intermediate event of these 3 freezing damage in tunnel fault trees of tunnel-liner flake-off piece as top event, adopt T-S fuzzy fault tree theory to set up separately fault tree;
(3) subordinate function of structure fuzzy number;
(4) the fuzzy door of structure T-S;
(5), and, calculate the various fuzzy possibilities of higher level's freeze injury incident according to the fuzzy door of T-S by the current state and the fuzzy possibility of subordinate's freeze injury incident;
(6) malfunction of supposing known each bottom event is a certain value, by changing the malfunction of one of them bottom event, calculates the importance degree of this bottom event to top event, and then analyzes the reason that freezing damage in tunnel produces.
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Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN102721986A (en) * 2012-06-01 2012-10-10 湖南省电力公司科学研究院 Power grid ice coating long-term forecasting method on basis of subtropical anticyclone factor

Citations (1)

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Publication number Priority date Publication date Assignee Title
CN101634229A (en) * 2009-08-20 2010-01-27 同济大学 Risk-based tunnel supporting structure design method

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Publication number Priority date Publication date Assignee Title
CN101634229A (en) * 2009-08-20 2010-01-27 同济大学 Risk-based tunnel supporting structure design method

Non-Patent Citations (2)

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叶秀玺: "寒区隧道冻害防治技术研究", 《中国优秀硕士学位论文全文数据库》 *
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Cited By (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN102721986A (en) * 2012-06-01 2012-10-10 湖南省电力公司科学研究院 Power grid ice coating long-term forecasting method on basis of subtropical anticyclone factor
CN102721986B (en) * 2012-06-01 2014-03-12 湖南省电力公司科学研究院 Power grid ice coating long-term forecasting method on basis of subtropical anticyclone factor

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