CN103678933B - Matrix evaluation construction method for determining stability of environmental slope dangerous rock mass - Google Patents

Matrix evaluation construction method for determining stability of environmental slope dangerous rock mass Download PDF

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CN103678933B
CN103678933B CN201310724000.1A CN201310724000A CN103678933B CN 103678933 B CN103678933 B CN 103678933B CN 201310724000 A CN201310724000 A CN 201310724000A CN 103678933 B CN103678933 B CN 103678933B
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stability
distinguishing indexes
environmental slope
formula
matrix
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CN103678933A (en
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张世殊
胡金山
宋胜武
冉从彥
裴向军
黄润太
郑汉淮
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PowerChina Chengdu Engineering Co Ltd
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Abstract

The invention discloses a matrix evaluation construction method for determining the stability of environmental slope dangerous rock mass, and belongs to the technical field of infrastructure designing and building of constructional engineering. The matrix evaluation construction method can be used for accurately determining the stability of the environmental slope dangerous rock mass through combination of field investigation and theoretical calculation. The matrix evaluation construction method includes the steps that firstly a designer builds environmental slope dangerous rock mass identification indexes, and field investigation personnel are made to perform field investigation and record on a field; secondly, various parameters are submitted to the designer, a multifactor interaction relation matrix formula is formed by the adoption of the A.L.saaty scale numerical method, weighted values of the main identification indexes are worked out according to the formula, and the main identification indexes are determined; finally, contribution value assignment is performed on the main identification indexes, the total value of the evaluated environmental slope dangerous rock mass is worked out through the calculation formula, and accordingly the stability of the environmental slope dangerous rock mass is judged.

Description

Matrix assessment construction method for determining environmental slope Taking stability
Technical field
The present invention relates to a kind of matrix assessment construction method, more particularly, to one kind for determining that environmental slope Dangerous Rock Body is steady Qualitatively matrix assessment construction method, belongs to architectural engineering infrastructure design building technology field.
Background technology
With the continuous construction of architectural engineering particularly Hydraulic and Hydro-Power Engineering, engineering aperture lines external environment side slope safety problem Become increasingly conspicuous, environmental slope Dangerous Rock Body is targetedly reconnoitred and estimation of stability seems particularly necessary.Environmental slope is endangered Rock mass is typically precipitous, and prospecting personnel are difficult to reach sometimes, its method for estimating stability often be different from major project, typically with Based on geologic survey and qualitative analysis, the experience and professional standards of geological personnel are tended to rely on, thus it is subjective random larger.
The content of the invention
The technical problems to be solved by the invention are:There is provided a kind of inspection of the scene of a crime can relatively be defined with what theoretical calculation was combined The matrix assessment construction method of true determination environmental slope Taking stability.
For the technical scheme that solution above-mentioned technical problem is used is:Square for determining environmental slope Taking stability Battle array evaluates construction method, comprises the following steps,
A, distinguishing indexes are set up, by the journey that the influence environmental slope Taking stability is qualitatively judged on engineering geology Degree, it is determined that at least including that terrain slope code name is that A1, rock mass structure code name are that A2, formation lithology code name are that A3, structural plane are unfavorable Assemblage characteristic code name is A4, structure face features code name is A5, rock mass hangs development code name by the feet for A6 and vegetation development code name are A7 In each interior distinguishing indexes;
B, determine main distinguishing indexes, the scale numerical method proposed using A.L.saaty constitutes following multifactor phases Interaction relational matrix formula,And need are selected according to the relational matrix formula The distinguishing indexes to be calculated, then calculate the spy at least including each index including seven distinguishing indexes of determination in step a Orientation amount is weighted value Wi, and the principal element for then determining the influence environmental slope Taking stability according to the weighted value is Main distinguishing indexes;
The assignment of c, distinguishing indexes, geologic survey personnel on site investigation, actual measurement at least include that each identification that step a determines refers to The parameter and real shape of the main distinguishing indexes determined in mark, and focal investigation and actual measurement step b, are then taken using sxemiquantitative expert Value method, according to geologic survey and field measurement parameter, at least to each principal element for determining in step b in different brackets or bar Different stability contribution margin Ai are assigned under part;
D, the stability for determining the environmental slope Dangerous Rock Body, using the distinguishing indexes and combination identification weight of above-mentioned determination The weighted value of coefficient, total score A is calculated according to A=∑s Ai × Wi, so, just can be determined
When A is 0~0.5, Dangerous Rock Body stabilization is assessed,
When A is 0.5~1.1, it is poor to be assessed Taking stability,
When A is 1.0~2.1, it is poor to be assessed Taking stability,
When A is more than 2.1, Taking stability extreme difference is assessed.
It is further, when distinguishing indexes are set up, at least to the rainfall of the influence environmental slope Taking stability Inducement, blasting vibration inducement and earthquake inducement are individually considered respectively, and rainfall correction value λ 1, blasting vibration and earthquake are repaiied In λ 2 substitutes into the calculating formula of described A=∑s Ai × Wi, the calculating formula for constituting A=1 × λ of λ, 2 × ∑s Ai × Wi calculates described Total score A, the stability of described environmental slope Dangerous Rock Body is then determined again.
When being further the i.e. weighted value Wi of specific vector of each distinguishing indexes for calculating described in stepb, use Following step,
1) the product Mi of each row element of judgment matrix is calculated
Mi=∏ bij (j=1,2 ... n)
2) the n th Roots of Mi are calculatedWill be allComposition of vector
3) by vectorial shape:Normalization
So, described weighted value Wi can just be calculated.WhereinFor It is allSum.
It is further, in stepb, when selecting calculative distinguishing indexes according to described relational matrix formula, Need to be checked into row matrix random index CR, its method of inspection is, first basis
Coincident indicator CI is calculated,
Then, further according to
It is the eigenvalue of maximum of relational matrix to calculate described random index CR, λ max, and n is knowledge The number of other index.
RI therein is the Aver-age Random Consistency Index of same order,
When CR >=0.1, it is necessary to adjust described judgment matrix, untill the satisfactory value of CR < 0.1.
It is further in step b, institute to be constituted in the scale numerical method proposed using A.L.saaty Before the multi-Factor Interaction Related Matrix formula stated, the interaction formula that each distinguishing indexes compare two-by-two is first set up,Then each distinguishing indexes that step a determines are entered according to the interaction formula Row qualitative analysis, and the qualitative evaluation index of the environmental slope Taking stability is extracted, then again by described relation square Battle array formula selectes calculative distinguishing indexes.
It is further, it is only unfavorable in structural plane according to field investigation and actual measurement when the assignment of index is identified Just need for qualitative analysis to combine consideration with rational judgment during assemblage characteristic A4 and vegetation development feature A7.
The beneficial effects of the invention are as follows:Due to it is determined that before the stability of the environmental slope Dangerous Rock Body, elder generation is by designer Member sets up environmental slope Dangerous Rock Body distinguishing indexes, then scene is examined on the spot by inspection of the scene of a crime personnel again, and record Relevant parameter, the various parameters for then again obtaining the inspection of the scene of a crime submit designer to, the scale number proposed using A.L.saaty The described multi-Factor Interaction Related Matrix formula of value method composition, and each main distinguishing indexes are calculated according to the formula Weighted value simultaneously determines main distinguishing indexes, then, then carries out contribution margin assignment to described each main distinguishing indexes, finally Described weighted value and contribution margin are calculated into the total score for being evaluated environmental slope Dangerous Rock Body by described computing formula again Value, and according to the secondary stability for judging to be evaluated environmental slope Dangerous Rock Body.Due to being evaluated environmental slope Dangerous Rock Body stabilization described During the determination of property, not being the experience and professional standards of single dependence inspection of the scene of a crime personnel determines, but by scene The prospecting of prospecting personnel is combined with theory meter, and the parameter amount that inspection of the scene of a crime personnel obtain qualitatively is analyzed and quantified Calculating so that the stability for passing through the environmental slope Dangerous Rock Body that the method determines is more accurate, practical, it is to avoid list The limitation and randomness of one experience for relying on inspection of the scene of a crime personnel and professional standards.
Specific embodiment
In order to solve in the prior art, the evaluation of environmental slope Taking stability to be determined to fully rely on inspection of the scene of a crime personnel Experience and professional standards and cause the defect that result is inaccurate, subjective randomness is larger, the present invention provide a kind of scene survey Examine the matrix assessment construction method that can accurately determine environmental slope Taking stability being combined with theoretical calculation.Institute Matrix assessment construction method is stated, is comprised the following steps,
A, distinguishing indexes are set up, by the journey that the influence environmental slope Taking stability is qualitatively judged on engineering geology Degree, it is determined that at least including that terrain slope code name is that A1, rock mass structure code name are that A2, formation lithology code name are that A3, structural plane are unfavorable Assemblage characteristic code name is A4, structure face features code name is A5, rock mass hangs development code name by the feet for A6 and vegetation development code name are A7 Indicated in each interior identification;
B, determine main distinguishing indexes, the scale numerical method proposed using A.L.saaty constitutes following multifactor phases Interaction relational matrix formula,And need are selected according to the relational matrix formula The distinguishing indexes to be calculated, then calculate the spy at least including each index including seven distinguishing indexes of determination in step a Orientation amount is weighted value Wi, and the principal element for then determining the influence environmental slope Taking stability according to the weighted value is Main distinguishing indexes;
The assignment of c, distinguishing indexes, geologic survey personnel on site investigation, actual measurement at least include that each identification that step a determines refers to The parameter and real shape of the main distinguishing indexes determined in mark, and focal investigation and actual measurement step b, are then taken using sxemiquantitative expert Value method, according to geologic survey and field measurement parameter, at least to each principal element for determining in step b in different brackets or bar Different stability contribution margin Ai are assigned under part;
D, the stability for determining the environmental slope Dangerous Rock Body, using the distinguishing indexes and combination identification weight of above-mentioned determination The weighted value of coefficient, total score A is calculated according to A=∑s Ai × Wi, so, just can be determined
When A is 0~0.5, Dangerous Rock Body stabilization is assessed,
When A is 0.5~1.1, it is poor to be assessed Taking stability,
When A is 1.0~2.1, it is poor to be assessed Taking stability,
When A is more than 2.1, Taking stability extreme difference is assessed.
Due to it is determined that before the stability of the environmental slope Dangerous Rock Body, first setting up environmental slope Dangerous Rock Body by designer Distinguishing indexes, are then examined on the spot by inspection of the scene of a crime personnel to scene again, and record relevant parameter, then again by scene Reconnoitre the various parameters for obtaining and submit designer to, the scale numerical method composition proposed using A.L.saaty it is described it is many because Plain interaction relationship Matrix Formula, and the weighted value of each main distinguishing indexes is calculated according to the formula and is determined main Then described each main distinguishing indexes, then are carried out contribution margin assignment by distinguishing indexes, finally again by described weighted value and Contribution margin calculates the total score for being evaluated environmental slope Dangerous Rock Body by described computing formula, and is evaluated ring according to secondary judgement The stability of border side slope Dangerous Rock Body.It is not single due to being evaluated during the determination of environmental slope Taking stability described The experience and professional standards of one dependence inspection of the scene of a crime personnel determines, but the prospecting of inspection of the scene of a crime personnel counted with theoretical It is combined, the parameter amount that inspection of the scene of a crime personnel obtain has been carried out into qualitatively analysis and quantitative calculating, so that passes through the party The stability of the environmental slope Dangerous Rock Body that method determines is more accurate, practical, it is to avoid single dependence inspection of the scene of a crime personnel's The limitation and randomness of experience and professional standards.
Wherein, it is described when each main distinguishing indexes weighted value is calculated using multi-Factor Interaction Related Matrix formula The value method of relational matrix is shown in Table 1, and each distinguishing indexes compare by the value of table 2 two-by-two.
The value method of the relational matrix of table 1
The main distinguishing indexes of table 2 compare value table two-by-two
In above-mentioned implementation method, in order that the stability of the environmental slope Dangerous Rock Body for determining is more accurate, know setting up During other index, rainfall inducement, blasting vibration inducement and earthquake inducement at least to the influence environmental slope Taking stability Individually considered, and rainfall correction value λ 1, blasting vibration and earthquake correction value λ 2 are substituted into the meter of described A=∑s Ai × Wi In formula, the calculating formula for constituting A=1 × λ of λ, 2 × ∑s Ai × Wi calculates described total score A, and described environment is then determined again The stability of side slope Dangerous Rock Body.Wherein described λ 1 and λ 2 difference according to the form below values,
It is " torrential rain ", more than 250 millimeters titles " extra torrential rain " between 100-249.9 millimeters.
In above-mentioned implementation method, when calculating the i.e. weighted value Wi of specific vector of each described distinguishing indexes in stepb, Following step can be used,
1) the product M of each row element of judgment matrix is calculatedi
2) the n th Roots of Mi are calculatedWill be allComposition of vector
3) by vectorial shape:Normalization
Described weighted value Wi is calculated, whereinIt is all's With.
Meanwhile, in order to simplify calculation process, the accuracy for calculating is improved, it is necessary to enter row matrix random index CR inspections Test, its method of inspection is, first basis
Coincident indicator CI is calculated,
Then, further according to
Described random index CR, RI therein is calculated for the mean random uniformity of same order refers to Mark,
When CR >=0.1, it is necessary to adjust described judgment matrix, untill the satisfactory value of CR < 0.1.Described is average Random index according to the form below value.
The Aver-age Random Consistency Index table of table 5
And, in the described multi-Factor Interaction Related square of the scale numerical method composition proposed using A.L.saaty Before battle array formula, the interaction formula that each distinguishing indexes compare two-by-two is first set up, Then qualitative analysis is carried out to each distinguishing indexes that step a determines according to the interaction formula, and extracts the environmental slope The qualitative evaluation index of Taking stability, then selectes calculative distinguishing indexes by described relational matrix formula again. So, the number of the distinguishing indexes for carrying out weighted value calculating just can be reduced, to simplify calculation process, the accurate of calculating is improved Property.
In above-mentioned matrix assessment construction method, when assignment is carried out to each distinguishing indexes by step c, can be according to row The value standard of each main distinguishing indexes such as table 6 is set up in industry summary of experience.And determine that the maximum occurrences of single index are 3, then day Dangerous Rock Body identification system maximum is 3 under right state.
Table 6-1 A1 (terrain slope)
Table 6-2 A2 (rock mass structure)
Table 6-3 A3 (lithologic character)
Table 6-4 A4 (structural plane Disadvantageous combination)
Table 6-5 A5 (structure face features)
Table 6-6 A6 (hanging developmental state by the feet)
Table 6-7 A7 (vegetation development feature)
Meanwhile, it is above-mentioned be identified index assignment during, according to field investigation and actual measurement, only in structural plane not Just need for qualitative analysis to combine consideration with rational judgment during sharp assemblage characteristic A4 and vegetation development feature A7.Institute of the present invention The structural plane Disadvantageous combination stated is complete refer in the presence of along slope structural plane or two groups of structural plane intersections along slope, inclination angle less than slope angle and big The discontinuities array at angle is wiped in structural plane harness.Now its coefficient of stability intermediate value can be calculated to obtain using stereographic projection qualitative analysis and following formula Less than 1.
Fall K=0;
Single sliding surface K=ctg αi·tgψi
Double sliding surfaces
α i in formula --- single sliding surface inclination angle;
ψ i --- structural plane internal friction angle;
γ ij --- the inclination angle of double sliding surface intersections;
γ i, γ j --- the normal of double sliding surface intersections respectively with Pi, the angle of Pj faces normal.γ ij, γ i, γ j can be from Tried to achieve in stereogram.
γ ij, γ i and γ j can be asked using numerical solution.Calculated using space vector.If structural plane occurrence is tendency α, Angle of inclination beta, its normal then for tendency α+180, inclination angle be 90- β, then structural plane normal vector be n=(x, y, z)=(- cos α sin β ,- Sin α sin β, cos β).Two plane intersection line vector ns '=(x ', y ', z ')
Double sliding surface intersecting lines tilts γ ij=arcsin (z '), normal and the Pi faces normal intersecting lines tilt of double sliding surface intersections
It refers to along slope, inclination angle in the presence of suitable slope structural plane or two groups of structural plane intersections that Disadvantageous combination of the present invention is more complete Less than slope angle, control fissure is discontinuous, can the above-mentioned formula of root measure its coefficient of stability 1≤K≤1.10.
Discontinuities array of the present invention is incomplete to refer to that crack is medium in the absence of unfavorable discontinuities array~relatively send out Educate.
Vegetation development characterizing definition of the present invention is:Development, refers to that shrub and arbor average headway are less than 1m;Relatively develop Finger shrub and arbor 1~3m of average headway, or turf are continuously distributed;It is sparse, shrub and arbor 3~10m of average headway, or turf Fragmentary distribution;Agensis refers to shrub and arbor average headway more than 10m, turf agensis.
Implement row one
Estimation of stability is carried out to a certain crag of the left dam abutment in sill may power station long
Dangerous Rock Body essential characteristic
For one protrudes ridge in landform, three face sky, and off-load is loose significantly.Crack is relatively developed, predominantly J2:N25 °~ 45 ° of 50 °~65 ° of E/SE ∠, in steep dip slope, J3:N20 °~50 ° 45 °~65 ° of E/NW ∠, are the middle steep dip of trip on the upper side outside slope of inclining Chink gap, rock mass easily forms sliding drawing crack and destroys along J3 groups crack, and rock mass is relatively crushed.Because its gradient reaches 45 °~50 ° suddenly, And vegetation sparse, crack generally opens, and how complete structural plane Disadvantageous combination is, general stability extreme difference.
Quantitative assessment is carried out using matrix method:
First carry out distinguishing indexes assignment, be shown in Table 7, after carry out calculating and must be divided into 2.22, more than 2.1, therefore under its natural environment Stability extreme difference.Because rock mass is relatively crushed, therefore PTS A=1.05 × 2.22=2.33 under rainstorm condition, still it is stability pole Difference, simply degree aggravation.PTS A=1.2 × 2.22=2.66, stability pole in the case where VIII degree of earthquake conditions of basic intensity are subjected to Difference, it is unstable to double, larger slump can be produced.
The matrix method Taking stability evaluation table of table 7

Claims (4)

1. a kind of matrix assessment construction method for determining environmental slope Taking stability, it is characterised in that:Including following Step,
A, distinguishing indexes are set up, by qualitatively judging the degree of the influence environmental slope Taking stability on engineering geology, It is determined that at least include terrain slope code name be A1, rock mass structure code name be A2, formation lithology code name be A3, structural plane Disadvantageous combination Feature code name is A4, structure face features code name is A5, rock mass hangs development code name by the feet for A6 and vegetation development code name are including A7 Each distinguishing indexes;
B, determine main distinguishing indexes, the scale numerical method proposed using A.L.saaty constitutes following multifactor phase interactions Relational matrix formula is used,And needs are selected according to the relational matrix formula The distinguishing indexes of calculating, then calculate at least including the specific of each index including seven distinguishing indexes of determination in step a Vector is weighted value Wi, then determines that the principal element of the influence environmental slope Taking stability is master according to the weighted value Want distinguishing indexes;
The assignment of c, distinguishing indexes, geologic survey personnel on site investigation, actual measurement at least include each distinguishing indexes that step a determines, And the parameter and real shape of the main distinguishing indexes determined in focal investigation and actual measurement step b, then using sxemiquantitative expert's value Method, according to geologic survey and field measurement parameter, at least to each principal element for determining in step b in different brackets or condition Under be assigned to different stability contribution margin Ai;
D, the stability for determining the environmental slope Dangerous Rock Body, using the distinguishing indexes and combination identification weight coefficient of above-mentioned determination Weighted value, total score B is calculated according to B=∑s Ai × Wi, so, just can determine
When B is 0~0.5, Dangerous Rock Body stabilization is assessed,
When B is 0.5~1.1, it is poor to be assessed Taking stability,
When B is 1.0~2.1, it is poor to be assessed Taking stability,
When B is more than 2.1, Taking stability extreme difference is assessed,
When calculating the i.e. weighted value Wi of specific vector of each described distinguishing indexes in stepb, using following step,
1) the product M of each row element of calculated relationship matrixi
2) the n th Roots of Mi are calculatedWill be allComposition of vector
3) by vectorial shape:Normalization
Described weighted value Wi is calculated, whereinIt is allSum.
2. the matrix assessment construction method for determining environmental slope Taking stability according to claim 1, it is special Levy and be:When distinguishing indexes are set up, at least to rainfall inducement, the blasting vibration of the influence environmental slope Taking stability Inducement and earthquake inducement are individually considered respectively, and rainfall correction value λ 1, blasting vibration and earthquake correction value λ 2 are substituted into institute In the calculating formula of the B=∑s Ai × Wi for stating, the calculating formula for constituting B=1 × λ of λ, 2 × ∑s Ai × Wi calculates described total score B, so Determine the stability of described environmental slope Dangerous Rock Body again afterwards.
3. the matrix assessment construction method for determining environmental slope Taking stability according to claim 1, it is special Levy and be:In step b, in the described multi-Factor Interaction Related of the scale numerical method composition proposed using A.L.saaty Before Matrix Formula, the interaction formula that each distinguishing indexes compare two-by-two is first set up, Then qualitative analysis is carried out to each distinguishing indexes that step a determines according to the interaction formula, and extracts the environmental slope The qualitative evaluation index of Taking stability, then selectes calculative distinguishing indexes by described relational matrix formula again.
4. the matrix assessment construction method for determining environmental slope Taking stability according to claim 3, it is special Levy and be:When the assignment of index is identified, according to field investigation and actual measurement, only in structural plane Disadvantageous combination feature A4 and Just need for qualitative analysis to combine consideration with rational judgment during vegetation development feature A7.
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CN105044774A (en) * 2015-08-26 2015-11-11 长安大学 Side slope stability prediction method under earthquake effect
CN105808936A (en) * 2016-03-03 2016-07-27 成都理工大学 Method for quickly judging and identifying danger degree of landslide
CN105809353B (en) * 2016-03-11 2020-04-17 中国矿业大学(北京) Method for determining blasting driving design index
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