CN108087030A - A kind of data analysing method of system anchor bolt effect contrast test - Google Patents
A kind of data analysing method of system anchor bolt effect contrast test Download PDFInfo
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- CN108087030A CN108087030A CN201711137186.5A CN201711137186A CN108087030A CN 108087030 A CN108087030 A CN 108087030A CN 201711137186 A CN201711137186 A CN 201711137186A CN 108087030 A CN108087030 A CN 108087030A
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- E—FIXED CONSTRUCTIONS
- E21—EARTH OR ROCK DRILLING; MINING
- E21F—SAFETY DEVICES, TRANSPORT, FILLING-UP, RESCUE, VENTILATION, OR DRAINING IN OR OF MINES OR TUNNELS
- E21F17/00—Methods or devices for use in mines or tunnels, not covered elsewhere
- E21F17/18—Special adaptations of signalling or alarm devices
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- E—FIXED CONSTRUCTIONS
- E21—EARTH OR ROCK DRILLING; MINING
- E21D—SHAFTS; TUNNELS; GALLERIES; LARGE UNDERGROUND CHAMBERS
- E21D20/00—Setting anchoring-bolts
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06Q—INFORMATION AND COMMUNICATION TECHNOLOGY [ICT] SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES; SYSTEMS OR METHODS SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES, NOT OTHERWISE PROVIDED FOR
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Abstract
The present invention relates to Tunnel Engineering technical field of measurement and test, provide a kind of data analysing method of system anchor bolt effect contrast test, including：Collect corresponding monitoring data respectively by monitoring project；Mathematical statistical model is selected, determines the number of Variable Factors；Monitoring data are calculated successively according to the mathematical statistical model of selection；Influence of the Variable Factors for each monitoring project is analyzed according to result of calculation.The present invention has selected unary variance analysis equation in mathematical statistics to be calculated, and can accurately give expression to the size that anchor pole influences every supporting parameter；Using to all effective monitoring data, influence of the accidentalia for comparing result is avoided, reduces error as much as possible；Effect of the comprehensive analysis anchor pole played in soft stratum tunnel, and the effect size that anchor pole is played in all fields can be obtained.
Description
Technical field
The present invention relates to Tunnel Engineering technical field of measurement and test, more particularly to a kind of system anchor bolt effect contrast test
Data analysing method.
Background technology
System anchor bolt is a kind of common preliminary bracing measure in tunnels and underground engineering.In soft stratum tunnel,
How is the effect of system anchor bolt, and there are mainly two types of viewpoints at present：A kind of viewpoint thinks the system anchor bolt in soft stratum tunnel
It is little to the effect of Tunnel Stability, it can cancel；Another viewpoint thinks that the system anchor bolt in soft stratum tunnel is steady to tunnel
It is qualitative serve it is key, it should set.For effect of the exposing system anchor pole in soft stratum tunnel, generally use more
The live contrast test of system anchor bolt is whether there is, passes through the effect of test data analyzer checking system anchor pole.
In the data analysis of existing system bolt effect contrast test, pass through the order of magnitude of contrast test data
Or average value carrys out the effect of checking system anchor pole.This kind of analysis method is although relatively simple, easy to operate, but can not be objective
Ground reflects effect of the system anchor bolt in tunnel in other every supporting parameters, and accidentalia may cause to having a competition
It tests result and generates larger error, making the conclusion of contrast test, reliability is insufficient there are certain one-sidedness.
The content of the invention
The purpose of the present invention is exactly to have overcome the deficiencies of the prior art and provide a kind of system anchor bolt effect contrast test
Data analysing method, using mathematical statistics mathematical model, the drawing of scientific and precise, the Variable Factors without system anchor bolt for
The influence size whether each monitoring project has an impact and generate.
A kind of data analysing method of system anchor bolt effect contrast test of the present invention, includes the following steps：
Step 1: carrying out having system anchor bolt and the live contrast test without system anchor bolt, phase is collected respectively by monitoring project
The monitoring data answered；
Step 2: selecting mathematical statistical model, the number of Variable Factors is determined；
Step 3: according to the mathematical statistical model that step 2 selects, the monitoring data of step 1 are counted successively
It calculates；
Step 4: according to result of calculation, influence of the Variable Factors for each monitoring project is analyzed；
Step 5: comprehensive analysis has, without the comprehensive function of system anchor bolt this Variable Factors for soft stratum tunnel.
Further, in step 1, when live contrast test, at least selects 2 sections of test sections to be compared；One is had
System anchor bolt is tested, another tested without system anchor bolt；In addition to the Variable Factors, other factors condition is identical；
Further, in step 2, when selecting mathematical model, the variable in selected each mathematical model is analyzed first
Factor number；It is then determined that the unary variance analysis equation for the mathematical statistics that mathematical model is consistent with contrast test variable.
Further, in step 3, by the monitoring data of contrast test successively according to the unary variance analysis equation point
It is not checked, and the F values by the way that each monitoring project is calculated.
Further, in step 4, when analyzing influence of the Variable Factors for specific monitoring project, first against spy
Determine monitoring project and select appropriate level of signifiance α, from F distribution upper percentage point table inquiries FαValue；Then the F values that will be calculated
With the F of inquiry gainedαValue is compared, and show that influence of the Variable Factors for the specific monitoring project is horizontal.
Further, it is horizontal to influence of the Variable Factors to each monitoring project respectively to assign power, synthesis in step 5
Evaluation have, without anchor pole in soft stratum tunnel generated effect size.
Further, the monitoring project includes pressure from surrounding rock, steelframe medial and lateral stress, gunite concrete strain, longitudinal direction
Dowel stress, clearance convergence, internal displacement for surrounding rock, the contact between preliminary bracing and secondary lining, secondary lining mix
Solidifying soil medial and lateral stress.
Further, the monitoring project is pressure from surrounding rock, and the mathematical model is；
There are pressure from surrounding rock data measured by system anchor bolt section to be set to parent X1, pressure from surrounding rock number measured by no system anchor bolt section
According to being set to parent X2, 2 parent X1、X2Meet normal distribution；
It is assumed that H0:μ1=μ2, that is, assume that 2 population variances are equal, independently respectively take out an increment in 2 parents, lead to
Discrete decomposition method is crossed, is examined with 2 increments and assumes H0It is whether true.
Beneficial effects of the present invention are：
1st, according to the monitoring result of live contrast test, unary variance analysis equation in mathematical statistics has been selected to be counted
It calculates, the Method for Checking of such contrast test compares with the prior art, can give expression to tool of the anchor pole for every supporting parameter
The size that body influences；
2nd, in control methods shadow of the accidentalia for comparing result is avoided using all effective monitoring data have been arrived
It rings, reduces error as much as possible so that comparing result is more convincing；
3rd, effect that can be with comprehensive analysis anchor pole played in soft stratum tunnel, and anchor pole can be obtained each
The effect size that aspect is played.
Description of the drawings
Fig. 1 show tunnel test section and is longitudinally arranged figure.
Fig. 2 show the monitoring project that field test is carried out.
Fig. 3 show unary variance analysis F density profiles.
Wherein：1- cancels system anchor bolt test section；2- sets system anchor bolt test section；3- cancels system anchor bolt test section
Test section；4- sets the test section of system anchor bolt test section；5- ground lines；6- tests the inbuilt various monitoring elements of section
(pressure cell, surface strain meter, Reinforcement Stress-count, concrete strain gauge etc.)；7-Fα(r-1, n-r) distributed density curves；8-Fα
(r-1, n-r) value.
Specific embodiment
The specific embodiment of the invention is described in detail below in conjunction with specific attached drawing.It should be noted that in following embodiments
The combination of the technical characteristic or technical characteristic of description is not construed as isolated, they can be mutually combined to reach
To superior technique effect.In the attached drawing of following embodiments, identical label that each attached drawing occurs represent identical feature or
Person's component can be applied in different embodiments.
The working mechanism of the present invention is mainly reflected in following three aspect：First, collect monitoring data carrying out field test
When, it is necessary to control two test sections, other supporting condition systems are identical in addition to system anchor bolt Variable Factors difference is whether there is；
Second is that the applicable equation that selection is appropriate, unary variance analysis equation refers in an experiment, and only the level there are one the factor is changing
Become, the level of other factors, which takes, determines, and by the result of dependent variable analyze and compares the effect size for drawing Variable Factors；Third,
Generalized analysis is carried out by the obtained each result of calculation of unary variance analysis equation, synthesis draws anchor pole flabbily
The size that the effect and each side specifically played in layer tunnel is played a role, so as to solve in soft stratum tunnel on earth
Want to set system anchor bolt this technical problem.
A kind of data analysing method of system anchor bolt effect contrast test of the embodiment of the present invention, includes the following steps：
Step 1: carrying out having system anchor bolt and the live contrast test without system anchor bolt, phase is collected respectively by monitoring project
The monitoring data answered；The monitoring project includes pressure from surrounding rock, and steelframe medial and lateral stress, gunite concrete strains, longitudinally connected
Muscle stress, clearance convergence, internal displacement for surrounding rock, the contact between preliminary bracing and secondary lining, secondary lining concrete
Medial and lateral stress etc..
Step 2: selecting mathematical statistical model, the number of Variable Factors is determined；
Step 3: according to the mathematical statistical model that step 2 selects, the monitoring data of step 1 are counted successively
It calculates；
Step 4: according to result of calculation, influence of the Variable Factors for each monitoring project is analyzed；
Step 5: comprehensive analysis has, without the comprehensive function of system anchor bolt this Variable Factors for soft stratum tunnel.
Preferably, in step 1, when live contrast test, at least selects 2 sections of test sections to be compared；One carried out be
System anchor rod experiment, another tested without system anchor bolt；In addition to the Variable Factors, other factors condition is identical；
Preferably, in step 2, when selecting mathematical model, analyze first variable in selected each mathematical model because
Plain number；It is then determined that the unary variance analysis equation for the mathematical statistics that mathematical model is consistent with contrast test variable.
Preferably, in step 3, the monitoring data of contrast test are distinguished successively according to the unary variance analysis equation
It is checked, and the F values by the way that each monitoring project is calculated.
Preferably, in step 4, when analyzing influence of the Variable Factors for specific monitoring project, first against specific
Monitoring project selects appropriate level of signifiance α, from F distribution upper percentage point table inquiries FαValue；Then by the F values being calculated with
Inquire about the F of gainedαValue is compared, and show that influence of the Variable Factors for the specific monitoring project is horizontal.
Preferably, in step 5, horizontal to influence of the Variable Factors to each monitoring project respectively to assign power, synthesis is commented
Valency has, without anchor pole in soft stratum tunnel generated effect size.
Hereafter had by taking the tunnel of Liujia Gorge as an example, without system anchor bolt scene contrast test；Specific segmentation as shown in Figure 1,
Carrying out monitoring project shown in Fig. 2 respectively, (monitoring project includes pressure from surrounding rock, and steelframe medial and lateral stress, gunite concrete should
Become, longitudinally connected muscle stress, clearance convergence, internal displacement for surrounding rock, the contact between preliminary bracing and secondary lining is secondary
Lining concrete medial and lateral stress), the monitoring data of field test are collected, and meet following condition：
1st, when field monitoring is tested two sections of test sections is at least selected to be compared；
2nd, strictly to control the other factors condition in addition to Variable Factors identical during field test；
3rd, two contrast test sections need progress one to have system anchor bolt experiment, another tested without system anchor bolt；
Appropriate mathematical model is selected, since live contrast test employs the experiment of single-factor variable, so determining selection
Unary variance analysis equation is monitored the comparison checking computations of data.
The test data of each monitoring project is divided into two groups to compare respectively, without loss of generality, using pressure from surrounding rock as
Example, has pressure from surrounding rock data measured by system anchor bolt section to be set to parent X1, pressure from surrounding rock data measured by no system anchor bolt section set
For parent X2, it is assumed that two parents meet normal distribution, then have 2 normal state parent Xi, i=1,2, XiBe distributed as N (μi,σ2),
It is assumed herein that 2 population variances are equal.Make hypothesis H on 2 parents0:μ1=μ2；
An increment is now independently taken out from each parent, arranges into following table：
Above-mentioned hypothesis H is examined with 2 increments0It is whether true.It may also be said that factor A has 2 kinds of horizontal A1,A2, it is located at each
The horizontal lower result of the test all Normal Distributions of kind, examine whether the various levels of factors A have a significant impact result of the test：It adopts
With deviation decomposition method：Regard each increment as a group,
It is average in note group
Overall averageWherein
Always sum of squares of deviations is：
Order：Sum of squares of deviations in group
Sum of squares of deviations between group
QEReflect X inside each groupijBy σ2Caused sampling error, QABetween reflection group caused by each parent average difference
Error adds sampling error.
So as to there is QT=QE+QA (1)
It represents that total deviation (quadratic sum) is equal to deviation (quadratic sum) in group and, plus deviation (quadratic sum) between group, is known as deviation
It decomposes.Below by comparing QEAnd QANumerical value carry out null hypothesis H0。
First calculate EQEAnd EQA.For this purpose, XijIt is expressed as Xij=μi+εij, j=1,2；I=1,2
Wherein εijNormal Distribution N (0, σ2), all εijIndependently of each other.
OrderWhereinδ againi=μi- μ, i=1,2
Thus μi=μ+δi, i=1,2 and
And then XijIt is represented by Xij=μ+δ+εij, j=1,2, L, ni；I=1,2 (3)
Order
Then, QEAnd QAIt can be expressed as：
Thus
Therefore
Obviously have
According to decomposition theorem：In H0During establishment, all δiZero is equal to, (3) formula becomes Xij=μ+εij
Substitute into QT,QEAnd QAExpression formula (1) formula can be write as
Again
Therefore
Above formula both sides divided by σ2, the left sideIt is the χ that degree of freedom is n2Variable, three, the right are respectively：
There are 2 constraintssIts degree of freedom is n-2；
There are one constraintssIts freedom
Degree is 1；Its degree of freedom is 1.
The sum of their degree of freedom (n-2)+(2-1)+1=n.The Q is taken to be in decomposition theoremThen by theorem
Adequacy can obtain：
Obey the χ that degree of freedom is n-22Distribution；Obey the χ that degree of freedom is 12Distribution；
AndWithIndependently of each other.
The definition being distributed by F,
Degree of freedom is obeyed to be distributed for the F of (1, n-2).
OrderSA=QAReferred to as SE 2For Mean squares within group deviation, SA 2For Mean squares between groups deviation.Then,
Degree of freedom is obeyed to be distributed for the F of (1, n-2).
Given level of signifiance α, makees small probability event：From (4) and (5) formula, when assuming that H0When invalid,And work as H0During establishment,From (6) formula, small probability event is taken in the big one side of the value of F
It is relatively reasonable.Thus it is possible to check in F from F distribution upper percentage point tablesαThe value of (1, n-2) makes P { F >=Fα(1, n-2) }=α, such as
Shown in Fig. 3.
After single sample by increment value calculate F numerical value：
If F >=Fα(1, n-2) then refuses to assume H0, that is, think that factor has a significant impact experimental result；
If F<Fα(1, n-2), which then receives, assumes H0, that is, think that factor does not make significant difference to experimental result.
Thus can draw whether there is whether system anchor bolt can have an impact for the pressure from surrounding rock in soft stratum tunnel.
Finally, according to above method, the test data of each monitoring project is respectively calculated according to above step, it can
To obtain specific influence of the anchor pole for each monitoring project in soft stratum tunnel, (each monitoring item can be used in comprehensive analysis
Mesh assigns power) anchor pole generated effect in soft stratum tunnel, so as to it is more rigorous, scientifically evaluation system anchor pole is flabbily
Effect in layer tunnel.
Although having been presented for several embodiments of the present invention herein, it will be appreciated by those of skill in the art that
Without departing from the spirit of the invention, the embodiments herein can be changed.Above-described embodiment is only exemplary, no
It should be using the embodiments herein as the restriction of interest field of the present invention.
Claims (8)
1. a kind of data analysing method of system anchor bolt effect contrast test, which is characterized in that include the following steps：
Step 1: carrying out having system anchor bolt and the live contrast test without system anchor bolt, collected respectively by monitoring project corresponding
Monitoring data；
Step 2: selecting mathematical statistical model, the number of Variable Factors is determined；
Step 3: according to the mathematical statistical model that step 2 selects, the monitoring data of step 1 are calculated successively；
Step 4: according to result of calculation, influence of the Variable Factors for each monitoring project is analyzed；
Step 5: comprehensive analysis has, without the comprehensive function of system anchor bolt this Variable Factors for soft stratum tunnel.
2. data analysing method as described in claim 1, which is characterized in that in step 1, when live contrast test is at least selected
2 sections of test sections are selected to be compared；One has carried out system anchor bolt experiment, another tested without system anchor bolt；Except the change
Outside amount factor, other factors condition is identical.
3. data analysing method as described in claim 1, which is characterized in that in step 2, when selecting mathematical model, divide first
Analyse the Variable Factors number in selected each mathematical model；It is then determined that the number that mathematical model is consistent with contrast test variable
Manage the unary variance analysis equation of statistics.
4. data analysing method as claimed in claim 3, which is characterized in that in step 3, by the monitoring data of contrast test
It is checked respectively according to the unary variance analysis equation successively, and the F values by the way that each monitoring project is calculated.
5. data analysing method as claimed in claim 4, which is characterized in that in step 4, analyze the Variable Factors for
During the influence of specific monitoring project, appropriate level of signifiance α is selected first against specific monitoring project, divides position from F distributions upside
Number table inquiry FαValue；Then by the F values being calculated and the F of inquiry gainedαValue is compared, draw the Variable Factors for
The influence of the specific monitoring project is horizontal.
6. data analysing method as described in claim 1, which is characterized in that in step 5, respectively to the Variable Factors pair
The influence of each monitoring project is horizontal to assign power, overall merit has, without anchor pole in soft stratum tunnel generated effect size.
7. such as claim 1-6 any one of them data analysing methods, which is characterized in that the monitoring project includes country rock pressure
Power, steelframe medial and lateral stress, gunite concrete strain, longitudinally connected muscle stress, clearance convergence, internal displacement for surrounding rock, initial stage branch
Contact between shield and secondary lining, secondary lining concrete medial and lateral stress.
8. data analysing method as claimed in claim 7, which is characterized in that the monitoring project be pressure from surrounding rock, the number
It learns model and uses unary variance analysis mathematical model；
There are pressure from surrounding rock data measured by system anchor bolt section to be set to parent X1, pressure from surrounding rock data measured by no system anchor bolt section set
For parent X2, 2 parent X1、X2Meet normal distribution；
It is assumed that H0:μ1=μ2, that is, assume 2 population variances it is equal, an increment is independently respectively taken out in 2 parents, by from
Decomposition method is dissipated, is examined with 2 increments and assumes H0It is whether true.
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| CN109184793A (en) * | 2018-08-29 | 2019-01-11 | 东北大学 | A method of the anti-rock burst ability on-the-spot test of anchor pole is carried out in Underground Engineering Excavation process |
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| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN108917694A (en) * | 2018-07-16 | 2018-11-30 | 三峡大学 | Deformation monitoring and the device and method of supporting after a kind of tunnel Rock And Soil excavates |
| CN109184793A (en) * | 2018-08-29 | 2019-01-11 | 东北大学 | A method of the anti-rock burst ability on-the-spot test of anchor pole is carried out in Underground Engineering Excavation process |
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Application publication date: 20180529 |
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