CN104657601A - Tunnel surrounding rock safety grading method - Google Patents

Abstract

The embodiment of the invention provides a tunnel surrounding rock safety grading method. The method mainly includes the following steps: according to a factor set and an evaluation set of tunnel surrounding rock grading, a factor grade evaluation matrix R is established; according to the influence level of each factor in the factor set of tunnel surrounding rock grading, a factor weight set A is established; compositional operation for fuzzy matrixes is carried out on the factor grade evaluation matrix R and the factor weight set A, so that primary fuzzy matrixes are obtained, the primary fuzzy matrixes are arranged sequentially, so that a secondary fuzzy matrix is obtained, and according to the secondary fuzzy matrix, an evaluation result of tunnel surrounding rock grading is calculated by the maximum membership degree method or the weighted average method. The embodiment of the invention mainly aims at special surrounding rock conditions without stability, for grading indexes, advanced deformation and failure conditions of surrounding rock under the influence of tunnel construction are mainly taken into consideration, surrounding rock deformation, failure area scope and distribution pattern can be adopted to represent safety, the essential characteristics of complex tunnel surrounding rock is caught by the grading indexes, and thereby the safety of tunnel surrounding rock can be graded accurately and effectively.

Description

The Safety classification method of tunnel surrounding

Technical field

The present invention relates to tunnel surrounding assessment technique field, particularly relate to a kind of Safety classification method of tunnel surrounding.

Background technology

In recent years, along with the Large scale construction of traffic infrastructure, China has built a large amount of railways, highway and urban subway tunnel engineering, and for the needs of resource and energy development, the construction scale in mine tunnel (lane) road also reaches unprecedented level.Along with the propelling of China's means of transportation to outlying mountain area and the increasing of the mining degree of depth, the outstanding problem brought is exactly that wall rock condition is deteriorated, and stability of surrounding rock controls to become key problem gradually, and Tunnel Engineering has absolute dependence to geologic condition.Therefore, wall rock condition determines the security of Tunnel Engineering, economy and project construction schemes to a great extent.In Tunnel Engineering, the otherness of wall rock condition is very large, generally adopts fender graded scheme to carry out designing and constructing both at home and abroad for this reason.

At present, the method for estimating stability of existing tunnel surrounding mainly comprises: based on certain space yardstick country rock after tunnel excavation from steady time and otherness thereof, the stability of tunnel surrounding evaluated and classification.

The shortcoming of the method for estimating stability of above-mentioned existing tunnel surrounding is: difference stabilization time of various tunnel surrounding is very big, some tunnel surrounding can be even endless from the steady time, can not supporting be carried out in theory to this class surrounding rock; And some tunnel surrounding is zero from the steady time, engineering shows as with digging with collapsing, the composition of this kind of tunnel surrounding may vary again, is also not quite similar to Effects on Engineering, but its common feature is exactly country rock does not possess stability, obviously the stability of this class surrounding rock is in fact without practical significance.Being represented as " complicated tunnel surrounding " of this class surrounding rock, mainly comprises weakness, fragmentation, loose, compound stratum, water rich strata and the buried high-ground stress stratum etc. caused.

Therefore, the method for estimating stability of above-mentioned existing tunnel surrounding is not suitable for the tunnel surrounding that complicated tunnel surrounding etc. does not possess stability.

Summary of the invention

The embodiment provides a kind of Safety classification method of tunnel surrounding, to realize carrying out effective Safety classification to tunnel surrounding.

According to an aspect of the present invention, provide a kind of Safety classification method of tunnel surrounding, comprising:

Set of factors according to classification of tunnel surroun ding rock sets up factor grade evaluation matrix R with evaluation collection;

According to factor each in the set of factors of classification of tunnel surroun ding rock size is affected on evaluation object, set up factorial power sets A;

Described factor grade evaluation matrix R and described factorial power sets A is carried out to the compose operation of fuzzy matrix, obtain the fuzzy matrix of one-level, each one-level fuzzy matrix is arranged in order and obtains secondary fuzzy matrix;

Gone out the evaluation result of classification of tunnel surroun ding rock by maximum membership degree method or calculated with weighted average method according to the fuzzy matrix of described secondary.

Preferably, factor grade evaluation matrix R set up by the described set of factors according to classification of tunnel surroun ding rock and evaluation collection, comprising:

Set up the set of factors of classification of tunnel surroun ding rock: U={u ₁, u ₂..., u _n, described U is set of factors, u _i(i=1,2 ..., n) represent each factor, n is the number of factor, and each factor is divided into m grade: U according to the influence degree of evaluation object _i={ u _i1, u _i2..., u _im(i=1,2 ..., n);

Set up the evaluation collection of classification of tunnel surroun ding rock: V={v ₁, v ₂..., v _k, V _i(i=1,2 ..., k) represent each evaluation index;

By the factor U in described set of factors _ithe influence degree of each grade to each evaluation index that described evaluation is concentrated represent with membership function, all membership functions are formed described factor U _igrade evaluation matrix R _i:

$R_i=\left[\begin{array}{cccc}{r}_{i11}& r_{i12}& ...& r_{i1k}\\ r_{i21}& r_{i22}& ...& r_{i2k}\\ ...& ...& ...& ...\\ r_{\mathrm{im}1}& r_{\mathrm{im}2}& ...& r_{\mathrm{imk}}\end{array}\right].$

Preferably, described according to factor each in the set of factors of classification of tunnel surroun ding rock size is affected on evaluation object, sets up factorial power sets A, comprising:

According to factor each in the set of factors of classification of tunnel surroun ding rock size is affected on evaluation object, give corresponding weight by the weighted value computing method of setting to each factor in the set of factors of classification of tunnel surroun ding rock, the set that the weight of each factor forms is called factorial power sets: A=(a ₁, a ₂..., a _n);

Wherein, a ₁, a ₂..., a _nrepresent weight, the weight of each factor should meet normalizing condition, that is:

$\underset{i=1}{\overset{n}{\mathrm{\Σ}}}{a}_i=1.$

Preferably, described gives corresponding weight by the weighted value computing method of setting to each factor in the set of factors of classification of tunnel surroun ding rock, comprising:

Acquisition layer fractional analysis gives corresponding weight to each factor in the set of factors of classification of tunnel surroun ding rock, and concrete computation process is as follows:

Between the factor 1, according to setting, multilevel iudge scale value is corresponding shows, and draws the multilevel iudge scale value in the set of factors of classification of tunnel surroun ding rock between two between factor, by all multilevel iudge scale values composition judgment matrix: R=(a _ij) _{n × n}, wherein, a _ijfor the scale that factor i and factor j compares, n is the number of factor;

2, the product M of each row element in described judgment matrix R is calculated _i, then ask M _in th Root

${\stackrel{\‾}{W}}_i=\sqrt[n]{M_i}$

To vector do normalized, obtain proper vector:

$\stackrel{\‾}{\mathrm{\ω}}=[W_1,W_2,...,W_n]$

Calculate the eigenvalue of maximum of described judgment matrix:

${\mathrm{\λ}}_{\max }=\underset{i}{\overset{n}{\mathrm{\Σ}}}\frac{\left(R\stackrel{\‾}{\mathrm{\ω}}\right)}{n{W}_i}$

3, the coincident indicator CI of described judgment matrix R is calculated;

$\mathrm{CI}=\frac{{\mathrm{\λ}}_{\max }-n}{n-1}$

Calculate the consistance ratio of described judgment matrix R

$\mathrm{CR}=\frac{\mathrm{CI}}{\mathrm{RI}}$

Described RI is the Aver-age Random Consistency Index of setting,

When described CR is less than the threshold value of setting, then determine that described judgment matrix R has consistance, by described proper vector as the weight sets A of each factor;

A＝(a ₁,a ₂,…,a _n)， $\stackrel{\‾}{\mathrm{\ω}}=[W_1,W_2,...,W_n]$

a ₁＝W ₁,a ₂＝W ₂,…,a _n＝W _n

Preferably, multilevel iudge scale value correspondence table between described factor, comprising:

Each factor is multilevel iudge matrix table between two

Preferably, the described compose operation described factor grade evaluation matrix R and described factorial power sets A being carried out to fuzzy matrix, obtains the fuzzy matrix of one-level, is arranged in order by each one-level fuzzy matrix and obtains secondary fuzzy matrix, comprising:

To certain factor grade evaluation matrix R _iwith certain factorial power sets A _icarry out the compose operation of fuzzy matrix, obtain the fuzzy matrix B of certain one-level _i;

Calculate

" ο " represents the compose operation of fuzzy matrix, and employing M (,+) and algorithm, the expression formula of " ο " is

b _ik＝Σa _ijr _ijk

By each one-level fuzzy matrix B _ibe arranged in order, obtain the fuzzy matrix B of secondary

$B=\left[\begin{array}{c}{B}_1\\ B_2\\ .\\ .\\ .\\ B_n\end{array}\right]=\left[\begin{array}{cccc}{b}_{11}& b_{12}& ...& b_{1k}\\ b_{21}& b_{22}& ...& b_{2k}\\ .& .& .& .\\ .& .& .& .\\ .& .& .& .\\ b_{n1}& b_{n2}& ...& b_{\mathrm{nk}}\end{array}\right].$

Preferably, the described fuzzy matrix according to described secondary goes out the evaluation result of classification of tunnel surroun ding rock by maximum membership degree method or calculated with weighted average method, comprising:

Calculate

Using described C as fuzzy overall evaluation collection;

When adopting maximum membership degree method, utilizing described fuzzy overall evaluation collection C, getting maximum membership degree c _lcorrespond to the evaluation index v evaluated corresponding to collection _l, as the evaluation result v of the security of described tunnel surrounding _s;

$v_s=\left\{v_l\right|v_l\→\underset{i=1}{\overset{k}{\max \left(c_i\right)}}\}$

$.$

Preferably, the described fuzzy matrix according to described secondary goes out the evaluation result of classification of tunnel surroun ding rock by maximum membership degree method or calculated with weighted average method, comprising:

Calculate

Using described C as fuzzy overall evaluation collection;

When adopting method of weighted mean, with c _jfor weight, evaluation is concentrated each for selecting element v _jbe weighted the evaluation result v of value as the security of described tunnel surrounding of process _s;

$v_s=\frac{\underset{j=1}{\overset{k}{\mathrm{\Σ}}}{c}_j{v}_j}{\underset{j=1}{\overset{k}{\mathrm{\Σ}}}{c}_j}$

If judging quota c _jnormalization, then

$v_s=\underset{j=1}{\overset{k}{\mathrm{\Σ}}}{c}_j{v}_j.$

The technical scheme provided as can be seen from the embodiment of the invention described above, the embodiment of the present invention is by utilizing the fuzzy matrix based on the secondary of factor grade evaluation matrix R and factorial power sets A, calculate the evaluation result of classification of tunnel surroun ding rock, mainly for the special wall rock condition not possessing stability, the advanced deformation and failure situation of country rock under its graded index answers emphasis to consider tunnel construction infection, its security can adopt rock deformation, destruction region scope and the regularity of distribution characterize, graded index has caught the essential characteristic of complicated tunnel surrounding, thus can be accurate, effectively Safety classification is carried out to tunnel surrounding.

The aspect that the present invention adds and advantage will part provide in the following description, and these will become obvious from the following description, or be recognized by practice of the present invention.

Accompanying drawing explanation

In order to be illustrated more clearly in the technical scheme of the embodiment of the present invention, below the accompanying drawing used required in describing embodiment is briefly described, apparently, accompanying drawing in the following describes is only some embodiments of the present invention, for those of ordinary skill in the art, under the prerequisite not paying creative work, other accompanying drawing can also be obtained according to these accompanying drawings.

The processing flow chart of the Safety classification method of a kind of tunnel surrounding that Fig. 1 provides for the embodiment of the present invention one;

The one tunnel cross section figure that Fig. 2 provides for the embodiment of the present invention two;

A kind of tunnel vault linear deformation numerical result schematic diagram that Fig. 3 provides for the embodiment of the present invention two;

The one typical case tunnel surrounding vertical section deformation curve schematic diagram that Fig. 4 provides for the embodiment of the present invention two;

A kind of deformation reinforcement effect schematic diagram that Fig. 5 provides for the embodiment of the present invention two.

Embodiment

Be described below in detail embodiments of the present invention, the example of described embodiment is shown in the drawings, and wherein same or similar label represents same or similar element or has element that is identical or similar functions from start to finish.Being exemplary below by the embodiment be described with reference to the drawings, only for explaining the present invention, and can not limitation of the present invention being interpreted as.

Those skilled in the art of the present technique are appreciated that unless expressly stated, and singulative used herein " ", " one ", " described " and " being somebody's turn to do " also can comprise plural form.Should be further understood that, the wording used in instructions of the present invention " comprises " and refers to there is described feature, integer, step, operation, element and/or assembly, but does not get rid of and exist or add other features one or more, integer, step, operation, element, assembly and/or their group.Should be appreciated that, when we claim element to be " connected " or " coupling " to another element time, it can be directly connected or coupled to other elements, or also can there is intermediary element.In addition, " connection " used herein or " coupling " can comprise wireless connections or couple.Wording "and/or" used herein comprises one or more arbitrary unit listing item be associated and all combinations.

Those skilled in the art of the present technique are appreciated that unless otherwise defined, and all terms used herein (comprising technical term and scientific terminology) have the meaning identical with the general understanding of the those of ordinary skill in field belonging to the present invention.Should also be understood that those terms defined in such as general dictionary should be understood to have the meaning consistent with the meaning in the context of prior art, unless and define as here, can not explain by idealized or too formal implication.

For ease of the understanding to the embodiment of the present invention, be further explained explanation below in conjunction with accompanying drawing for several specific embodiment, and each embodiment does not form the restriction to the embodiment of the present invention.

Embodiment one

The embodiment of the present invention, using the aim of tunnel safety as fender graded, typically refers to: 1. can keep certain self-stability after tunnel excavation, can carry out effective supporting at this moment; 2. the preliminary bracing unlikely recurring structure before secondary lining applies carried out according to wall rock condition lost efficacy; Overall destruction or unstability can not be there is in the system that 3. tunnel surrounding and supporting are formed.In engineering practice, same as not possessing stable wall rock condition, complexity and the disposal options of its security control also differ greatly, and obviously carry out safe assessment to it and classification is very important.

As can be seen here, based on the fender graded emphasis of security for the special wall rock condition not possessing stability, the advanced deformation and failure situation of country rock under its graded index answers emphasis to consider tunnel construction infection, its security can adopt rock deformation, destruction region scope and the regularity of distribution to characterize.In order to country rock after ensureing tunnel excavation has enough stability, reply country rock carries out different pre-service.Therefore for making design and arrangement and method for construction have operability, tackling this country rock and carrying out Safety classification, its object is to: 1. determine rational tunnel excavation method and surrouding rock deformation control criterion; 2. reliable support form and supporting construction parameter is determined; 3. if desired pre-reinforcement is carried out, its control criterion of reinforcing and defining method are then described, for evaluation and the classification of unstable surrounding rock condition, the mechanical attribute of country rock and the impact on security thereof should be focused on, high spot reviews country rock destroys situation in advance, comprises advanced deflection and deformation range, the advanced destruction characteristic of country rock and the spreading range etc. of country rock.

The treatment scheme that this embodiment offers a kind of Safety classification method of tunnel surrounding as shown in Figure 1, comprises following treatment step:

Step S110, set up the set of factors of classification of tunnel surroun ding rock.

The set of factors of classification of tunnel surroun ding rock is the ordinary set that the various factors of effect appraise object (classification of tunnel surroun ding rock) forms, namely

U={u ₁, u ₂..., u _nformula 1

In formula, U is set of factors, u _i(i=1,2 ..., n) represent each influence factor, n is the number of influence factor, and these factors have ambiguity in various degree usually.

Each factor can be divided into m grade according to the influence degree of evaluation object.The state residing for each grade in factor may use fuzzy language " better, good, generally, poor, poor " or " higher, high, generally, lower, low " etc. to represent, this state set is factor grade collection, is designated as:

U _i={ u _i1, u _i2..., u _im(i=1,2 ..., n) formula 2

Step S120, set up the evaluation collection of classification of tunnel surroun ding rock.

Evaluate collection be the set that estimator forms various total evaluation result that evaluation object may be made, generally using degree language or evaluation interval as evaluation objective, usually can be expressed as:

V={v ₁, v ₂..., v _kformula 3

In formula, V representative is evaluated collection or claims for selecting collection, and v represents evaluation index, generally with fuzzy language statement, as " better, good, medium, poor, poor ".In fuzzy set theory, the fuzzy language fuzzy membership function of value between [0,1] quantizes.The method of structure fuzzy membership function has many kinds, as described in prosthomere.

Step S130, set up factor grade evaluation matrix.

Each factor has m grade, as shown in Equation 2.Each factor grade has certain influence for the evaluation index evaluating collection, and its influence degree can represent with membership function.Write them as matrix form:

$R_i=\left[\begin{array}{cccc}{r}_{i11}& r_{i12}& ...& r_{i1k}\\ r_{i21}& r_{i22}& ...& r_{i2k}\\ ...& ...& ...& ...\\ r_{\mathrm{im}1}& r_{\mathrm{im}2}& ...& r_{\mathrm{imk}}\end{array}\right]$ Formula 4

Be the grade evaluation matrix of i-th factor.

If by each factor grade according to the evaluation index sequential arrangement evaluating collection, each factor has identical grade evaluation matrix.

R ₁=R ₂=...=R _nformula 5

Step S140, set up factorial power sets.

In set of factors, the significance level of each factor is different.In order to reflect the significance level of each factor, give a corresponding weight to each factor, the set of these weights composition is called factorial power sets.Factorial power sets reflects each factor affects size for evaluation object, is designated as

A=(a ₁, a ₂..., a _n) formula 6

Wherein the weight of factor should meet normalizing condition, namely

$\underset{i=1}{\overset{n}{\mathrm{\Σ}}}{a}_i=1$ Formula 7

Usually, determine that the method for factor weight has a lot, as Delphi method, expert survey, analytical hierarchy process etc.Wherein, analytical hierarchy process (being called for short AHP) is current a kind of widely used method, and the basic step of analytical hierarchy process compares the impact of some questions on same target, thus determines the proportion that they are shared in the target, and concrete steps are as follows:

1) judgment matrix compared between two between each factor of evaluation problem is built

Table 1: each factor is multilevel iudge matrix table between two

Above-mentioned table 1 gives each factor multilevel iudge scale value between two, if the scale that factor i and factor j compares is a _ij, then the scale that factor j and factor i compares is 1/a _ij.

For n factor, the judgment matrix that can be compared between two

R=(a _ij) _{n × n}formula 8

2) eigenvalue of maximum of judgment matrix is calculated

${\mathrm{\λ}}_{\max }=\underset{i}{\overset{n}{\mathrm{\Σ}}}\frac{\left(R\stackrel{\‾}{\mathrm{\ω}}\right)}{n{W}_i}$ Formula 9

λ in formula _maxfor the eigenvalue of maximum of judgment matrix

Ask for λ _maxneed to calculate each term coefficient by following method, first calculate the product M of each row element in judgment matrix A _i, then ask M _in th Root

${\stackrel{\‾}{W}}_i=\sqrt[n]{M_i}$ Formula 10

Thus obtain vector do normalized, obtain proper vector

$\stackrel{\‾}{\mathrm{\ω}}=[W_1,W_2,...,W_n]$ Formula 11

3) consistance of judgment matrix is calculated

Weighing the whether rational standard of judgment matrix is that judgment matrix should have consistance.Because the complicacy of objective things itself and artificial cognitive limitation, not necessarily meet conforming condition by comparing the judgment matrix A obtained between two.If judgment matrix does not have consistance, proper vector now just can not reflect the weight of each factor truly.

Definition: consistance ratio

$\mathrm{CR}=\frac{\mathrm{CI}}{\mathrm{RI}}$ Formula 12

In formula, CI is coincident indicator,

$\mathrm{CI}=\frac{{\mathrm{\λ}}_{\max }-n}{n-1}$ Formula 13

RI is Aver-age Random Consistency Index, for the value of 1-9 rank judgment matrix RI in table 2.

Table 2: Aver-age Random Consistency Index RI

n	1	2	3	4	5	6	7	8	9
										RI	0	0	0.58	0.90	1.12	1.24	1.32	1.41	1.45

It is generally acknowledged that CR is less than the threshold value of setting, be such as 0.1, then the consistance of judgment matrix is acceptable.By described proper vector as the weight sets A of each factor;

A＝(a ₁,a ₂,…,a _n)， $\stackrel{\‾}{\mathrm{\ω}}=[W_1,W_2,...,W_n]$

A ₁=W ₁, a ₂=W ₂..., a _n=W _nformula 14

Step S150, one-level fuzzy overall evaluation.

One-level fuzzy overall evaluation, is actually the ambiguity in order to process factor, by each grade of a comprehensive factor, to the contribution of evaluation object value, as the monofactorial evaluation of one.

To certain factor grade evaluation matrix R _iwith certain factorial power sets A _icarry out the compose operation of fuzzy matrix, obtain the fuzzy matrix B of certain one-level _i;

B _ik=Σ a _ijr _ijkformula 15

formula 16

" ο " represents the compose operation of fuzzy matrix, and employing M (,+) and algorithm, the expression formula of " ο " is

Step S160, Secondary Fuzzy Comprehensive Evaluation.

By each one-level fuzzy matrix B _ibe arranged in order, obtain the fuzzy matrix B of secondary

$B=\left[\begin{array}{c}{B}_1\\ B_2\\ .\\ .\\ .\\ B_n\end{array}\right]=\left[\begin{array}{cccc}{b}_{11}& b_{12}& ...& b_{1k}\\ b_{21}& b_{22}& ...& b_{2k}\\ .& .& .& .\\ .& .& .& .\\ .& .& .& .\\ b_{n1}& b_{n2}& ...& b_{\mathrm{nk}}\end{array}\right].$ Formula 17

One-level fuzzy overall evaluation reflection single factor test different brackets is on the impact of evaluation object.Due to the many factors related to, in order to consider the general impacts of each factor to evaluation effect, Secondary Fuzzy Comprehensive Evaluation must be carried out.Secondary Fuzzy Comprehensive Evaluation is application blurring mapping principle and maximum membership grade principle, to be correlated with the comprehensive evaluation that each factor does for evaluation object.When all factors are evaluated, fuzzy overall evaluation collection can be obtained.

formula 18

" ο " represents the compose operation of fuzzy matrix.Employing M (,+) and algorithm, refers to b _ik=Σ a _ijr _ijk.

Using described C as fuzzy overall evaluation collection.

Step S170, acquisition evaluation result.

1) maximum membership degree method

According to maximum membership grade principle, in the result of calculation of formula 18, get maximum membership degree c _lcorrespond to the evaluation index v evaluated corresponding to collection _l, as the evaluation result v of the security of described tunnel surrounding _s.

Be formulated as:

$v_s=\left\{v_l\right|v_l\→\underset{i=1}{\overset{k}{\max \left(c_i\right)}}\}$ Formula 19

2) method of weighted mean

With c _jfor weight, evaluation is concentrated each for selecting element v _jthe value being weighted process is evaluation result, namely

$V=\frac{\underset{j=1}{\overset{k}{\mathrm{\Σ}}}{c}_j{v}_j}{\underset{j=1}{\overset{k}{\mathrm{\Σ}}}{c}_j}$ Formula 20

If judging quota c _jnormalization, then

$V=\underset{j=1}{\overset{k}{\mathrm{\Σ}}}{c}_j{v}_j$ Formula 21

Embodiment two

Case history is applied

The tunnel advanced support method for designing based on Deformation control that embodiment of the present invention patent proposes obtains successful application in the projects such as expensive wide railway tunnel, conjunction good fortune railway.Below in conjunction with the drawings and specific embodiments, the invention will be further described.

1) project profile

It is domestic that certain tunnel is positioned at Hezhou City, Guangxi province, tunnel totally present northwest (NW)-east southeast to.Tunnel the beginning and the end mileage is DK592+058 ~ DK594+496, is the tunnel that in expensive wide high-speed railway, difficulty of construction is larger.Wherein, entrance section of tunnel DK592+058 ~ 090 spreading open cut tunnel, DK592+090 ~+300 are import shallow embedding location, buried depth 2 ~ 20m, excavation span 14.7m, tunnel rise 12.5m, tunnel excavation area 150m2, tunnel homalographic equivalent diameter 13.8m is Super-large-section tunnel, the one tunnel cross section schematic diagram that Fig. 2 provides for the embodiment of the present invention two.

2) Engineering Geologic Characteristics

Certain tunnel is positioned at structure Hills And Low Mountains, and hillside natural grade 20 ° ~ 30 °, the maximum buried depth of barrel is about 200m.The gentle slope area of tunnel entrance Shallow Section between left side toe and right side cheuch, landform is mild.Tunnel top ground elevation 165 ~ 185m, inflow point line elevation 155m.Barrel has a deep cheuch on earth's surface, DK592+225m place, and perennial flowing water, resistance value and the elastic wave velocity on neighbouring stratum are lower, and the stratum property of water-bearing is better.

Inducer top layer is the residual slide rock silty clay of Quaternary system, hard plastic, thick 0 ~ 4m; Gravelly soil, khaki, loose, thick 0 ~ 4m; Basement rock is Yujiangian Stage (D2y) stratum of uniting in the Devonian system, lithology based on dirty sandstone, siltstone, carbonaceous shale, completely decomposed ~ severely-weathered, halo-weathering zone thickness 10 ~ 20m, severely-weathered tape thickness 10 ~ 20m, lower is carbonaceous limestone, weak weathering is main, and karst is comparatively grown.Certain tunnel formation parameter is in table 3.

Table 3: tunnel formation parameter

Soil layer title	Density/kgm 3	Elastic modulus/MPa	Poisson ratio	Cohesive strength/KPa	Angle of friction/°	Thickness/m
							Silty clay	1990	3.25	0.38	25.79	17.72	0～3
Rock folder carbonaceous shale (completely decomposed)	2020	13.4	0.33	20.55	18.36	8～26
							Carbonaceous limestone (weak weathering)	2600	120	0.3	30.6	20.54	16～31

Import Shallow Section adopts subsurface excavation method and the dark wall method of open arch, and wherein, tunneling section DK592+125 ~+180, the hillside, side that keeps left is comparatively steep, there is bias voltage.Grades of Surrounding Rock is V grade, rock stratum detrition, and sand shale major part completely decomposed is that earthy and soil are caught broken stone shape, and carbonaceous shale water cut is higher, and part moulds shape in soft.After a design alteration, engineering design method is 6 CRD methods.

3) analysis of Influential Factors

Tunnel mileage DK592+138 section, buried depth 20m, tunnel excavation span D=14.7m, rise h=12.5m.That predicts country rock with pipe canopy for pre-reinforcement measure adds inherent availability, and the parameter of pipe canopy is that 180 °, arch arranges Φ 159mm super-front large pipe shed, circumferential distance 30cm; Model Analysis of Field Geotechnical Parameters is determined according to table 4, and calculating parameter is determined according to table 4.

Table 4: tunnel support, ruggedized construction parameter

support types	elastic modulus/MPa	poisson ratio	density/g.cm-3	angle of friction/.	cohesive strength/Kpa
						preliminary bracing	15e3	0.2	2500	-	-
guan Peng stabilization zone	1000e3	0.33	2230	40	150

Consider each portion step pitch, and will to the analysis of pipe canopy effect below, finally with DK592+138 section for benchmark carries out construction simulation.Respectively to there being the operating mode of the pre-reinforcement measure of pipe canopy and not pipe canopy pre-reinforcement measure to calculate, a kind of tunnel vault linear deformation numerical result schematic diagram calculated as shown in Figure 3; When not taking the measure of Shed-pipe Advanced Support pre-reinforcement, advanced relative deformation be 2.78%, the longitudinal coverage (S of advanced distortion _r) be 1.86D, advanced destruction amount (P _c) be 0.92D, the longitudinal coverage (P of advanced destruction _r) be 0.68D; When taking Shed-pipe Advanced Support, advanced relative deformation be 0.45%, the longitudinal coverage (S of advanced distortion _r) be 0.42D, advanced destruction amount (P _c) be 0.18D, the longitudinal coverage (P of advanced destruction _r) be 0.23D.

In conjunction with principles of fuzzy mathematics, the method for complicated tunnel surrounding Safety classification is proposed.

Induction and conclusion 3 essential characteristics of complicated tunnel surrounding, large, the advanced damage envelope of the advanced deformation comparison of this class surrounding rock also comparatively large, pre-reinforcement measure is on its impact larger.Therefore, select the advanced deformation range of country rock, advanced damage envelope and pre-reinforcement measure effect, set up graded index collection: u={u ₁, u ₂, u ₃the advanced deformation range of }={ country rock, advanced damage envelope, pre-reinforcement controlling measurement effect }.Then carry out factor grade classification, factor grade classification is corresponding with complicated classification of tunnel surroun ding rock, is divided into three safe classes.In general, safe class is higher, and risk is larger, and the possibility that risk occurs is larger.The meaning divided is the determination being more conducive to degree of membership, and the method for division can be based upon on the basis of statistics, theoretical analysis and numerical evaluation, if lack statistics and theory calculate, can only divide by subjective experience, divides as follows in detail:

(1) gradation factor collection is set up

1) the advanced deformation range of country rock

According to the achievement in research of this report about surrouding rock deformation, typical tunnel surrounding vertical section deformation curve as shown in Figure 4, advanced relative deformation and the longitudinal coverage (S of advanced distortion _r) all comparatively large, this two indices therefore can be selected to represent the advanced deformation effect scope of country rock.The implication of symbol is as, S _cfor the advanced deflection in tunnel, D is tunnel equivalent radius, S _rfor advanced deformation effect scope.

This report, on research surrouding rock deformation mechanism and regular basis, with reference to related specifications, makes the safety classification standard of following advanced distortion, as shown in table 5.

Table 5: the advanced deformation range (u of country rock ₁)

2) advanced damage envelope

According to the achievement in research of this report about surrounding rock failure, damage envelope can represent by relaxation zone, advanced destruction amount (P _c) and the longitudinal coverage (P of advanced destruction _r) all comparatively large, this two indices therefore can be selected to represent the advanced destroying infection scope of country rock.

This report, on research surrouding rock deformation mechanism and regular basis, with reference to related specifications, makes the safety classification standard of following advanced destruction, as shown in table 6.

Table 6 damage envelope grade scale (u ₂)

3) pre-reinforcement controlling measurement effect

According to the achievement in research of this report about country rock and reinforcement measure, for pipe canopy consolidation effect, the consolidation effect of pre-reinforcement measure is described.Deformation reinforcement effect can obtain as shown in Figure 5, after taking the measure of pipe canopy pre-reinforcement, and the advanced relative deformation of tunnel surrounding longitudinal coverage (the S of advanced distortion _r) advanced destruction amount (P _c), advanced destroy longitudinal coverage (P _r) reduce all to some extent.Therefore, the control effects of different pre-reinforcement measure can be described by the reduction degree of the advanced deformation range of country rock and advanced damage envelope, as shown in table 7.

Table 7 adds inherent availability (u ₃)

(2) evaluation collection is set up

Evaluate collection be the set that estimator forms various total evaluation result that evaluation object may be made, generally with degree language or evaluation interval for evaluation objective.The division of complex surrounding rock safe class is corresponding with rocvk classification, and the higher country rock of safe class is more dangerous.With fuzzy language, classification statement is carried out to this evaluation objective of Safety of Surrounding Rock, sets up and evaluate collection:

V＝{v ₁,v ₂,v ₃}

Wherein v ₁represent that safe class is I grade, v ₂represent that safe class is II grade, v ₃represent that safe class is III grade.Each element v in formula _jtotal represent various possible evaluation result, the object of fuzzy overall evaluation, exactly on the basis considering all influence factors, from evaluating the evaluation result concentrated and draw a best.

(3) factor grade evaluation matrix is set up

Each factor grade has certain influence for the evaluation index evaluating collection, and its influence degree can represent with membership function.Degree of membership fixes in fuzzy mathematics theory really occupies very consequence, its whether objective validity that decide evaluation result.The defining method of degree of membership has been described above, wherein fuzzy statistical method is the most objective and accurate, but it is often more difficult to obtain these statisticss, therefore many employing subjective experience methods or representative function assignment technique in practice, wherein, typical membership function above describes in detail saying, repeats no more.

In order to set up the rational membership function of each factor, first should determine the judgment matrix of each factor, in this report, the safe class that often kind of evaluation factor is corresponding different, carries out judge one by one to 6 evaluation factors and draws judgment matrix.This report accounts for the ratio of total executive cost to geological mapping investment cost, interplanar spacing two factors in tunnel adopt trapezoidal membership function, sets up according to formula above the subordinate function representing its degree of membership:

1) advanced relative deformation factor membership function (unit is number percent)

${{\mathrm{\&mu;}}_v}_1\left(x\right)=\left\{\begin{array}{cc}0& x<0.5\\ 1& 0.5\&le;x\&le;1\\ \frac{2-x}{1}& 1\&le;x\&le;2\\ 0& x>2\end{array}\right.$

${{\mathrm{\&mu;}}_v}_1\left(x\right)=\left\{\begin{array}{cc}0& x<0.5\\ \frac{x-0.5}{0.5}& 0.5\&le;x\&le;1\\ 1& 1\&le;x\&le;2\\ 0& x>2\end{array}\right.$

${{\mathrm{\&mu;}}_v}_3\left(x\right)=\left\{\begin{array}{cc}0& x<0.5\\ \frac{x-0.5}{1.5}& 0.5\&le;x\&le;2\\ 1& x>2\end{array}\right.$

2) the longitudinal coverage S of advanced distortion _rfactor membership function (unit is D)

${{\mathrm{\&mu;}}_v}_1\left(x\right)=\left\{\begin{array}{cc}0& x<1\\ 1& 1\&le;x\&le;1.5\\ \frac{2-x}{0.5}& 1.5\&le;x\&le;2\\ 0& x>2\end{array}\right.$

${{\mathrm{\&mu;}}_v}_2\left(x\right)=\left\{\begin{array}{cc}0& x<1\\ \frac{x-1}{0.5}& 1\&le;x\&le;1.5\\ 1& 1.5\&le;x\&le;2\\ 0& x>2\end{array}\right.$

${{\mathrm{\&mu;}}_v}_3\left(x\right)=\left\{\begin{array}{cc}0& x<1\\ \frac{x-1}{1}& 1\&le;x\&le;2\\ 1& x>2\end{array}\right.$

3) advanced destruction amount P _cfactor membership function (unit is D)

${{\mathrm{\&mu;}}_v}_1\left(x\right)=\left\{\begin{array}{cc}0& x<0.3\\ 1& 0.3\&le;x\&le;0.6\\ \frac{0.8-x}{0.2}& 0.6\&le;x\&le;0.8\\ 0& x>0.8\end{array}\right.$

${{\mathrm{\&mu;}}_v}_2\left(x\right)=\left\{\begin{array}{cc}0& x<0.3\\ \frac{x-0.3}{0.3}& 0.3\&le;x\&le;0.6\\ 1& 0.6\&le;x\&le;0.8\\ 0& x>0.8\end{array}\right.$

${{\mathrm{\&mu;}}_v}_3\left(x\right)=\left\{\begin{array}{cc}0& x<0.3\\ \frac{x-0.3}{0.5}& 0.3\&le;x\&le;0.8\\ 1& x>0.8\end{array}\right.$

4) advanced longitudinal damage envelope P _rfactor membership function (unit is D)

${{\mathrm{\&mu;}}_v}_1\left(x\right)=\left\{\begin{array}{cc}0& x<0.3\\ 1& 0.3\&le;x\&le;0.5\\ \frac{0.7-x}{0.2}& 0.5\&le;x\&le;0.7\\ 0& x>0.7\end{array}\right.$

${{\mathrm{\&mu;}}_v}_2\left(x\right)=\left\{\begin{array}{cc}0& x<0.3\\ \frac{x-0.3}{0.2}& 0.3\&le;x\&le;0.5\\ 1& 0.5\&le;x\&le;0.7\\ 0& x>0.7\end{array}\right.$

${{\mathrm{\&mu;}}_v}_3\left(x\right)=\left\{\begin{array}{cc}0& x<0.3\\ \frac{x-0.3}{0.4}& 0.3\&le;x\&le;0.7\\ 1& x>0.7\end{array}\right.7$

5) leading phase is reduced to Deformation Factor membership function (unit is number percent)

${{\mathrm{\&mu;}}_v}_1\left(x\right)=\left\{\begin{array}{cc}0& x<60\\ \frac{x-60}{20}& 60\&le;x\&le;80\\ 1& x>80\end{array}\right.$

${{\mathrm{\&mu;}}_v}_2\left(x\right)=\left\{\begin{array}{cc}0& x<60\\ 1& 60\&le;x\&le;80\\ 0& x>80\end{array}\right.$

${{\mathrm{\&mu;}}_v}_3\left(x\right)=\left\{\begin{array}{cc}1& x<60\\ \frac{80-x}{20}& 60\&le;x\&le;80\\ 0& x>80\end{array}\right.$

6) the longitudinal coverage factor membership function of advanced distortion (unit is number percent) is reduced

${{\mathrm{\&mu;}}_v}_1\left(x\right)=\left\{\begin{array}{cc}0& x<60\\ \frac{x-60}{20}& 60\&le;x\&le;80\\ 1& x>80\end{array}\right.$

${{\mathrm{\&mu;}}_v}_2\left(x\right)=\left\{\begin{array}{cc}0& x<60\\ 1& 60\&le;x\&le;80\\ 0& x>80\end{array}\right.$

${{\mathrm{\&mu;}}_v}_3\left(x\right)=\left\{\begin{array}{cc}1& x<60\\ \frac{80-x}{20}& 60\&le;x\&le;80\\ 0& x>80\end{array}\right.$

7) advanced destruction amount factor membership function (unit is number percent) is reduced

${{\mathrm{\&mu;}}_v}_1\left(x\right)=\left\{\begin{array}{cc}0& x<60\\ \frac{x-60}{20}& 60\&le;x\&le;80\\ 1& x>80\end{array}\right.$

${{\mathrm{\&mu;}}_v}_2\left(x\right)=\left\{\begin{array}{cc}0& x<60\\ 1& 60\&le;x\&le;80\\ 0& x>80\end{array}\right.$

${{\mathrm{\&mu;}}_v}_3\left(x\right)=\left\{\begin{array}{cc}1& x<60\\ \frac{80-x}{20}& 60\&le;x\&le;80\\ 0& x>80\end{array}\right.$

8) advanced longitudinal damage envelope factor membership function (unit is number percent) is reduced

${{\mathrm{\&mu;}}_v}_1\left(x\right)=\left\{\begin{array}{cc}0& x<60\\ \frac{x-60}{20}& 60\&le;x\&le;80\\ 1& x>80\end{array}\right.$

${{\mathrm{\&mu;}}_v}_2\left(x\right)=\left\{\begin{array}{cc}0& x<60\\ 1& 60\&le;x\&le;80\\ 0& x>80\end{array}\right.$

${{\mathrm{\&mu;}}_v}_3\left(x\right)=\left\{\begin{array}{cc}1& x<60\\ \frac{80-x}{20}& 60\&le;x\&le;80\\ 0& x>80\end{array}\right.$

(4) factorial power sets is set up

Adopt the relative importance of scaling law to factor pair upper level target at different levels to compare between two, construct judgment matrix (see table 8 ~ table 11), then calculate eigenvalue of maximum, and the vector of correspondence, finally carry out consistency check.

According to said method, the weighted value calculating each judgment matrix is shown in Table 12.

Table 12: each Factor Weight value of complicated tunnel surrounding safety judgment

2) consistency check of judgment matrix

Consistency check is whether inspection and evaluation expert thinking in deterministic process is consistent, and solves eigenwert, then carry out consistency check to above-mentioned judgment matrix.At U _imatrix goes out λ _imax, according to the consistance of formula CR=CI/RI judgment matrix.Wherein CI=(λ _max-n)/(n-1), being shown in Table 13 in detail of RI (Aver-age Random Consistency Index) value.

Table 13: Judgement Matrix consistency check full edition

Index	W i	λ max	CI	RI	CR
						U	(0.4000，0.4000，0.2000)	3	0	0	0
U 1	(0.6667，0.3333)	2	0	0	0
						U 2	(0.5000，0.5000)	2	0	0	0
U 3	(0.2951，0.2087，0.2481，0.2481)	4.0604	0.0201	0.9000	0.0224

(5) one-level fuzzy overall evaluation matrix

According to engineering concrete condition and numerical result, draw the factor parameter required for complicated tunnel surrounding Safety classification, be shown in Table 14.

Table 14:DK592+138 section complicated tunnel surrounding Safety classification factor parameter

According to factor subordinate function, solve ambiguity function matrix:

$R_{\left(U_1\right)}=\left\{\begin{array}{ccc}0& 0& 1\\ 0.28& 1& 0.86\end{array}\right\}$

$R_{\left(U_2\right)}=\left\{\begin{array}{ccc}0& 0& 1\\ 0.1& 1& 0.95\end{array}\right\}$

$R_{\left(U_3\right)}=\left\{\begin{array}{ccc}1& 0& 0\\ 0.87& 1& 0.13\\ 1& 0& 0\\ 0.31& 1& 0.69\end{array}\right\}$

Carry out fuzzy one-class class conversion:

(6) Secondary Fuzzy Comprehensive Evaluation matrix

Obtain secondary fuzzy relation matrix thus:

$R=\left\{\begin{array}{ccc}0.0933& 0.3333& 0.9533\\ 0.0500& 0.5000& 0.9750\\ 0.8017& 0.4568& 0.1983\end{array}\right\}$

(7) evaluation result

According to maximum membership grade principle, namely

V _k＝{V _L|V _L→maxC _k}＝0.7052

So, judge that the Safety of Surrounding Rock rank of this engineering is III, the non-constant of security.

In sum, the embodiment of the present invention is by utilizing based on factor grade evaluation matrix R and the one-level of factorial power sets A or the fuzzy matrix of secondary, calculate the evaluation result of classification of tunnel surroun ding rock, mainly for the special wall rock condition not possessing stability, the advanced deformation and failure situation of country rock under graded index answers emphasis to consider tunnel construction infection, security can adopt rock deformation, destruction region scope and the regularity of distribution characterize, graded index has caught the essential characteristic of complicated tunnel surrounding, thus can be accurate, effectively Safety classification is carried out to tunnel surrounding.

The Safety classification method of tunnel surrounding of the present invention do not rely on tunnel surrounding from the steady time, with major part existing based on certain space yardstick country rock after tunnel excavation compared with the stage division of steady time, more realistic, the tunnel surrounding that complicated tunnel surrounding etc. does not possess stability can be applicable to.

One of ordinary skill in the art will appreciate that: accompanying drawing is the schematic diagram of an embodiment, the module in accompanying drawing or flow process might not be that enforcement the present invention is necessary.

As seen through the above description of the embodiments, those skilled in the art can be well understood to the mode that the present invention can add required general hardware platform by software and realizes.Based on such understanding, technical scheme of the present invention can embody with the form of software product the part that prior art contributes in essence in other words, this computer software product can be stored in storage medium, as ROM/RAM, magnetic disc, CD etc., comprising some instructions in order to make a computer equipment (can be personal computer, server, or the network equipment etc.) perform the method described in some part of each embodiment of the present invention or embodiment.

Each embodiment in this instructions all adopts the mode of going forward one by one to describe, between each embodiment identical similar part mutually see, what each embodiment stressed is the difference with other embodiments.Especially, for device or system embodiment, because it is substantially similar to embodiment of the method, so describe fairly simple, relevant part illustrates see the part of embodiment of the method.Apparatus and system embodiment described above is only schematic, the wherein said unit illustrated as separating component or can may not be and physically separates, parts as unit display can be or may not be physical location, namely can be positioned at a place, or also can be distributed in multiple network element.Some or all of module wherein can be selected according to the actual needs to realize the object of the present embodiment scheme.Those of ordinary skill in the art, when not paying creative work, are namely appreciated that and implement.

The above; be only the present invention's preferably embodiment, but protection scope of the present invention is not limited thereto, is anyly familiar with those skilled in the art in the technical scope that the present invention discloses; the change that can expect easily or replacement, all should be encompassed within protection scope of the present invention.Therefore, protection scope of the present invention should be as the criterion with the protection domain of claim.

Claims (8)

1. a Safety classification method for tunnel surrounding, is characterized in that, comprising:

Set of factors according to classification of tunnel surroun ding rock sets up factor grade evaluation matrix R with evaluation collection;

According to factor each in the set of factors of classification of tunnel surroun ding rock size is affected on evaluation object, set up factorial power sets A;

Described factor grade evaluation matrix R and described factorial power sets A is carried out to the compose operation of fuzzy matrix, obtain the fuzzy matrix of one-level, each one-level fuzzy matrix is arranged in order and obtains secondary fuzzy matrix;

Gone out the evaluation result of classification of tunnel surroun ding rock by maximum membership degree method or calculated with weighted average method according to the fuzzy matrix of described secondary.

2. the Safety classification method of tunnel surrounding according to claim 1, is characterized in that, factor grade evaluation matrix R set up by the described set of factors according to classification of tunnel surroun ding rock and evaluation collection, comprising:

Set up the set of factors of classification of tunnel surroun ding rock: U={u ₁, u ₂..., u _n, described U is set of factors, u _i(i=1,2 ..., n) represent each factor, n is the number of factor, and each factor is divided into m grade: U according to the influence degree of evaluation object _i={ u _i1, u _i2..., u _im(i=1,2 ..., n);

Set up the evaluation collection of classification of tunnel surroun ding rock: V={v ₁, v ₂..., v _k, V _i(i=1,2 ..., k) represent each evaluation index;

By the factor U in described set of factors _ithe influence degree of each grade to each evaluation index that described evaluation is concentrated represent with membership function, all membership functions are formed described factor U _igrade evaluation matrix R _i:

3. the Safety classification method of tunnel surrounding according to claim 1, is characterized in that, described affects size according to factor each in the set of factors of classification of tunnel surroun ding rock to evaluation object, sets up factorial power sets A, comprising:

According to factor each in the set of factors of classification of tunnel surroun ding rock size is affected on evaluation object, give corresponding weight by the weighted value computing method of setting to each factor in the set of factors of classification of tunnel surroun ding rock, the set that the weight of each factor forms is called factorial power sets: A=(a ₁, a ₂..., a _n);

Wherein, a ₁, a ₂..., a _nrepresent weight, the weight of each factor should meet normalizing condition, that is:

4. the Safety classification method of tunnel surrounding according to claim 3, is characterized in that, described gives corresponding weight by the weighted value computing method of setting to each factor in the set of factors of classification of tunnel surroun ding rock, comprising:

Acquisition layer fractional analysis gives corresponding weight to each factor in the set of factors of classification of tunnel surroun ding rock, and concrete computation process is as follows:

Between the factor 1, according to setting, multilevel iudge scale value is corresponding shows, and draws the multilevel iudge scale value in the set of factors of classification of tunnel surroun ding rock between two between factor, by all multilevel iudge scale values composition judgment matrix: R=(a _ij) _{n × n}, wherein, a _ijfor the scale that factor i and factor j compares, n is the number of factor;

2, the product M of each row element in described judgment matrix R is calculated _i, then ask M _in th Root

To vector do normalized, obtain proper vector:

Calculate the eigenvalue of maximum of described judgment matrix:

3, the coincident indicator CI of described judgment matrix R is calculated;

Calculate the consistance ratio of described judgment matrix R

Described RI is the Aver-age Random Consistency Index of setting,

When described CR is less than the threshold value of setting, then determine that described judgment matrix R has consistance, by described proper vector as the weight sets A of each factor;

。

a ₁＝W ₁,a ₂＝W ₂,…,a _n＝W _n

5. the Safety classification method of tunnel surrounding according to claim 4, is characterized in that, multilevel iudge scale value correspondence table between described factor, comprising:

Each factor is multilevel iudge matrix table between two

6. the Safety classification method of the tunnel surrounding according to any one of claim 2 to 5, it is characterized in that, the described compose operation described factor grade evaluation matrix R and described factorial power sets A being carried out to fuzzy matrix, obtain the fuzzy matrix of one-level, each one-level fuzzy matrix is arranged in order and obtains secondary fuzzy matrix, comprising:

To certain factor grade evaluation matrix R _iwith certain factorial power sets A _icarry out the compose operation of fuzzy matrix, obtain the fuzzy matrix B of certain one-level _i;

Calculate

" " represent the compose operation of fuzzy matrix, adopt M (,+) algorithm, " " expression formula be

b _ik＝Σa _ijr _ijk

By each one-level fuzzy matrix B _ibe arranged in order, obtain the fuzzy matrix B of secondary

。

7. the Safety classification method of tunnel surrounding according to claim 6, is characterized in that, the described fuzzy matrix according to described secondary goes out the evaluation result of classification of tunnel surroun ding rock by maximum membership degree method or calculated with weighted average method, comprising:

Calculate

Using described C as fuzzy overall evaluation collection;

When adopting maximum membership degree method, utilizing described fuzzy overall evaluation collection C, getting maximum membership degree c _lcorrespond to the evaluation index v evaluated corresponding to collection _l, as the evaluation result v of the security of described tunnel surrounding _s;

。

8. the Safety classification method of tunnel surrounding according to claim 7, is characterized in that, the described fuzzy matrix according to described secondary goes out the evaluation result of classification of tunnel surroun ding rock by maximum membership degree method or calculated with weighted average method, comprising:

Calculate

Using described C as fuzzy overall evaluation collection;

When adopting method of weighted mean, with c _jfor weight, evaluation is concentrated each for selecting element v _jbe weighted the evaluation result v of value as the security of described tunnel surrounding of process _s;

If judging quota c _jnormalization, then