CN112948746A - Composite roadbed post-construction settlement prediction method based on fuzzy comprehensive evaluation - Google Patents

Composite roadbed post-construction settlement prediction method based on fuzzy comprehensive evaluation Download PDF

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CN112948746A
CN112948746A CN202110053093.4A CN202110053093A CN112948746A CN 112948746 A CN112948746 A CN 112948746A CN 202110053093 A CN202110053093 A CN 202110053093A CN 112948746 A CN112948746 A CN 112948746A
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常亚静
姜光辉
刘巍
程军利
雷斌
张晓强
刘斌
宋锐
单浩
王小林
刘冬
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Abstract

The invention discloses a composite roadbed post-construction settlement prediction method based on fuzzy comprehensive evaluation. Firstly, selecting an evaluation index set and two layers of factor index sets according to the characteristics of various influencing factors in the construction of the composite roadbed, and determining the value domain grading standards of the evaluation indexes and the factor indexes according to standard allowable values and finite element numerical simulation calculation results; then, carrying out standardization processing on each factor index, and constructing a standard membership function suitable for the factor indexes of the first layer and the second layer by adopting an exponential normal distribution function; and finally, constructing a post-construction settlement comprehensive evaluation matrix of the composite foundation of the expressway on the basis of determining the index weight of each layer according to an entropy weight method, and predicting the variation range of the post-construction settlement. The method can obtain the change interval of the post-construction settlement by simple calculation according to the basic data of the actual engineering, and realize the prediction of the post-construction settlement of the composite foundation of the expressway.

Description

Composite roadbed post-construction settlement prediction method based on fuzzy comprehensive evaluation
Technical Field
The invention relates to the field of traffic engineering, in particular to a composite roadbed post-construction settlement prediction method based on fuzzy comprehensive evaluation.
Background
With the rapid development of national economy, more and more expressways, urban expressways and other projects are put into construction and operation, and the composite roadbed is widely applied due to the advantages of short construction period, good foundation treatment effect and the like. Although the construction period of the composite roadbed meets the quality detection requirements of the relevant national regulations, the phenomenon of high post-construction settlement still frequently occurs in the operation period, and the situation is particularly prominent in a soft-roadbed section. In consideration of the detection and evaluation of the quality of the pile body and the bearing capacity of the foundation mainly aiming at the composite roadbed in the construction period at the present stage, and the evaluation in the aspect of post-construction settlement is not involved, so that the prediction of the post-construction settlement of the composite roadbed in the construction period can be used as an effective supplement of the quality evaluation of the composite roadbed, and the design and the construction of the composite roadbed are further guided.
Many scholars and engineers have conducted beneficial research on the problem of post-construction settlement of the composite roadbed by means of theoretical analysis, numerical simulation, on-site observation data fitting and the like. However, theoretical analysis and numerical simulation have high requirements on the technical level of people, and the field observation data fitting method has low timeliness. Because the settlement problem of the composite roadbed after construction relates to a plurality of factors and has obvious randomness, the method adopts an uncertain means to establish a prediction model and a calculation method, can enrich the prediction means of the settlement of the composite roadbed after construction, can utilize the established model to quickly acquire the settlement of the composite roadbed after construction through simple calculation, and has certain theoretical and practical significance.
Disclosure of Invention
In order to overcome the defects of the prior art, the invention provides the method for predicting the composite subgrade post-construction settlement based on the fuzzy comprehensive evaluation, which can simply and quickly predict the composite subgrade post-construction settlement of the high-grade highway.
In order to achieve the purpose, the invention is realized by the following technical scheme:
a composite roadbed post-construction settlement prediction method based on fuzzy comprehensive evaluation comprises the following steps:
s1: firstly, selecting an evaluation index set and two layers of factor index sets according to the characteristics of various influencing factors in the construction of the composite roadbed, and determining the value domain grading standards of the evaluation indexes and the factor indexes according to standard allowable values and finite element numerical simulation calculation results;
s2: then, carrying out standardization processing on each factor index, and constructing a standard membership function suitable for the factor indexes of the first layer and the second layer by adopting an exponential normal distribution function;
s3: and finally, constructing a post-construction settlement comprehensive evaluation matrix of the composite foundation of the expressway on the basis of determining the index weight of each layer according to an entropy weight method, and predicting the variation range of the post-construction settlement.
The step S1 specifically includes the following substeps:
s11: establishing a judgment set V ═ V { V } according to the post-construction settlement change interval1,v2,v3,v4And a first layer factor index set U ═ U1,u2,u3,u4And second layer factorsIndex set
Figure BDA0002899874240000022
Wherein: u. of1、u2、u3And u4Is an index of the first layer factor, uijIs an index of the second layer factor, niIs UiThe number of the included second layer factor indexes is as follows: 1,2,3,4, 1,2, …, ni；
S12: determining a second tier factor indicator uijCorresponding to the classification standard of the post-construction settlement evaluation set.
In the step S11, the first layer factor indexes are geological indexes u respectively1Pile body index u2And a cushion index u3And construction index u4；
The second layer factor index is the compressed soil layer thickness u11Compression modulus u12Cohesion force u13Inner angle of friction u14Modulus u of pile body21Pile length u22Pile diameter u23Pile spacing u24Thickness u of the cushion layer31Modulus of the cushion layer u32Inner friction angle u of cushion layer33Fill height u41Fill rate u42Prepressing height u43And pre-pressing time u44。
In step S12, the second layer factor index uijThe method for determining the grading standard corresponding to the post-construction settlement evaluation set comprises the following steps:
step 120: according to the engineering conditions of the area where the analyzed road section is located and the current national standard requirements, the value range and the mode of each second-layer factor index are given;
step 121: taking the mode of the second layer factor indexes as an initial value, and respectively taking 5-6 values at equal intervals in the value range of each second layer factor index by adopting a finite element numerical value calculation method to calculate the post-construction settlement value one by one;
step 122: according to the factor index u of post-construction settlement along with the second layerijThe change rule of (1) isijThe method is divided into three categories:
1) negative type indexes are as follows: is accompanied by uijIncrease in value, post-construction settlementThe value increases and the evaluation grade decreases;
2) the positive index is as follows: is accompanied by uijThe value is increased, the post-construction settlement value is reduced, and the evaluation grade is improved;
3) zero attribute index: is accompanied by uijThe value is increased, the post-construction settlement value is not obviously changed, and the variation quantity is less than 50 mm;
step 123: and respectively carrying out normalization processing on the positive type attribute index and the negative type attribute index (the zero attribute index is processed according to the positive type index) so as to ensure that the post-construction settlement value is reduced along with the increase of the normalization index and the evaluation grade is better.
The positive index normalization formula:
Figure BDA0002899874240000021
negative class index normalization formula:
Figure BDA0002899874240000031
in the formula:
Figure BDA0002899874240000032
is a positive type index or a zero attribute index,
Figure BDA0002899874240000033
is a negative index, qijQ is a normalized value of each index, 0 is more than or equal to qij≤1；
Step 124: analysis of post-construction Settlement with qijThe change rule of (2) is that the q is determined by linear interpolation when the post-construction settlement is 100mm,200mm and 300mmijThe value is substituted for formula (1) or formula (2) to obtain the corresponding uijDetermining a grading standard, wherein the zero attribute index belongs to v within the value range1Grade;
wherein when q isijWhen the value is 0:
1) if the post-construction settlement belongs to [200,300 ], the q when the post-construction settlement is 300mm can not be directly determined by a linear interpolation methodijThe values, q, for the post-construction settlement of 100mm and 200mm are determined by linear interpolationijValue, and in a post-construction settlement of 200mm in pairsQ isijValue 1/2 as q for 300mmijThe value is substituted for formula (1) or formula (2) to obtain the corresponding uijDetermining a grading standard;
2) if the post-construction settlement belongs to [100,200 ], q when the post-construction settlement is 200mm and 300mm can not be directly determined by a linear interpolation methodijThe value of q when the post-construction settlement is 100mm is determined by linear interpolationijValue and q corresponding to 100mm of post-construction settlementijValue 1/2 as q for 200mmijValue q corresponding to 100mm of post-construction settlementijValue 1/4 as q for 300mmijThe value is substituted for formula (1) or formula (2) to obtain the corresponding uijAnd determining a grading standard.
Step S2 is specifically:
constructing a second layer factor index uijEvaluating the membership function of the index post-construction settlement and calculating the factor index u of the second layer of the pre-analysis road sectionijThe membership degree of the value, thereby establishing an i-th class first-layer factor index UiRelation matrix R of lower second layer factor index and post-construction settlement evaluation gradei：
Figure BDA0002899874240000034
Wherein
Figure BDA0002899874240000035
Is a factor uijFor vkK is 1,2,3, 4.
Step S3 specifically includes the following substeps:
s31: establishing a second layer factor weight set by adopting an entropy weight method
Figure BDA0002899874240000044
And carrying out first-layer comprehensive evaluation to obtain UiComprehensive evaluation matrix of
Figure BDA0002899874240000041
Wherein
Figure BDA0002899874240000042
S32: establishing a relation matrix R ═ B of the first layer factor index and the evaluation grade1B2B3B4]T；
S33: first layer factor weight set W determined by entropy weight method1w2w3w4]And carrying out second-layer comprehensive judgment to obtain a judgment matrix B ═ B of post-construction settlement1b2b3b4]Wherein
Figure BDA0002899874240000043
S34: and 4 elements of the analysis matrix B are respectively in one-to-one correspondence with 4 evaluation levels of the post-construction settlement evaluation set V, and the maximum element of the analysis matrix B is taken to correspond to the evaluation level of the post-construction settlement evaluation set V so as to determine the variation interval of the post-construction settlement value of the analyzed road section.
Compared with the prior art, the invention has the beneficial effects that:
(1) the method fully considers the influence of engineering geology, construction measures and indexes of the pile body and the cushion layer on the post-construction settlement of the composite roadbed, and more objectively predicts the post-construction settlement of the composite roadbed.
(2) The method can obtain the change interval of the post-construction settlement through simple calculation only according to the basic data of the actual engineering, and the calculation result is beneficial to the optimization design, the improvement of the construction quality and the like, thereby being convenient for early targeted treatment and prevention, having high calculation efficiency and wide application prospect.
(3) In order to avoid the problems that accurate calculation of weight and membership are not easy, related factors are more and the like, an entropy weight method, a standardized membership function and a two-layer evaluation system are adopted, so that the calculation accuracy is improved, influence factor indexes are reduced due to comprehensive evaluation in each layer, and the method is more convenient for practical application.
Drawings
FIG. 1 is a graph of the relationship between post-construction settlement and the normalized value of the thickness, the compressive modulus, the cohesive force and the internal friction angle of a compressed soil layer.
Fig. 2 is a relation curve of post-construction settlement and pile body modulus, pile length, pile diameter and pile spacing normalized value.
FIG. 3 is a graph of normalized values of post-construction settlement versus pad thickness, pad modulus, and pad internal friction angle.
FIG. 4 is a graph showing normalized values of post-construction settlement, fill height, fill rate, pre-compaction height and pre-compaction time.
Detailed Description
The following examples are given for the detailed implementation and specific operation of the present invention, but the scope of the present invention is not limited to the following examples.
The method for predicting the settlement of the composite roadbed after construction based on the fuzzy comprehensive evaluation is specifically realized by the following steps:
step S1: firstly, selecting an evaluation index set and two layers of factor index sets according to the characteristics of various influencing factors in the construction of the composite roadbed, and determining the value domain grading standards of the evaluation indexes and the factor indexes according to standard allowable values and finite element numerical simulation calculation results; the method specifically comprises the following substeps:
s11: establishing a judgment set V ═ V { V } according to the post-construction settlement change interval1,v2,v3,v4See table 1 for grading standards:
TABLE 1 post-construction settlement grading Standard
Figure BDA0002899874240000051
And when the post-construction settlement value is greater than 400mm in the standardization treatment of the actual post-construction settlement value of the engineering, calculating according to 400mm to ensure that the sizes of all classification intervals are consistent.
Establishing a first layer factor index set U-U1,u2,u3,u4And second layer factor index set
Figure BDA0002899874240000054
Wherein: u. of1、u2、u3And u4Is an index of the first layer factor, uijIs an index of the second layer factor, niIs UiThe number of the included second layer factor indexes is as follows: 1,2,3,4, 1,2, …, ni(ii) a The first layer factor indexes are geological indexes u1Pile body index u2And a cushion index u3And construction index u4The second layer factor index is the compressed soil layer thickness u11Compression modulus u12Cohesion force u13Inner angle of friction u14Modulus u of pile body21Pile length u22Pile diameter u23Pile spacing u24Thickness u of the cushion layer31Modulus of the cushion layer u32Inner friction angle u of cushion layer33Fill height u41Fill rate u42Prepressing height u43And pre-pressing time u44。
S12: determining a second tier factor indicator uijThe grading standard corresponding to the post-construction settlement evaluation set comprises the following steps:
step 120: according to the engineering conditions of the area where the analyzed road section is located and the current national standard requirements, the value range and the mode of each second-layer factor index are given;
step 121: taking the mode of the second layer factor indexes as an initial value, and respectively taking 5-6 values at equal intervals in the value range of each second layer factor index by adopting a finite element numerical value calculation method to calculate the post-construction settlement value one by one;
step 122: according to the factor index u of post-construction settlement along with the second layerijThe change rule of (1) isijThe method is divided into three categories:
1) negative type indexes are as follows: is accompanied by uijThe value increases, the post-construction settlement value increases, and the evaluation grade decreases.
2) The positive index is as follows: is accompanied by uijThe value is increased, the post-construction settlement value is reduced, and the evaluation grade is improved.
3) Zero attribute index: is accompanied by uijThe value is increased, the post-construction settlement value is not obviously changed, and the variation is less than 50 mm.
Step 123: and respectively carrying out normalization processing on the positive type attribute index and the negative type attribute index (the zero attribute index is processed according to the positive type index) so as to ensure that the post-construction settlement value is reduced along with the increase of the normalization index and the evaluation grade is better.
The positive index normalization formula:
Figure BDA0002899874240000052
negative class index normalization formula:
Figure BDA0002899874240000053
in the formula:
Figure BDA0002899874240000061
is a positive type index or a zero attribute index,
Figure BDA0002899874240000062
is a negative index, qijQ is a normalized value of each index, 0 is more than or equal to qij≤1。
Step 124: analysis of post-construction Settlement with qijThe change rule of (2) is that the q is determined by linear interpolation when the post-construction settlement is 100mm,200mm and 300mmijThe value is substituted for formula (1) or formula (2) to obtain the corresponding uijDetermining a grading standard, wherein the zero attribute index belongs to v within the value range1And (4) grading.
In particular, when q isijWhen the value is 0:
1) if the post-construction settlement belongs to [200,300 ], the q when the post-construction settlement is 300mm can not be directly determined by a linear interpolation methodijThe values, q, for the post-construction settlement of 100mm and 200mm are determined by linear interpolationijValue and q corresponding to 200mm of post-construction settlementijValue 1/2 as q for 300mmijThe value is substituted for formula (1) or formula (2) to obtain the corresponding uijDetermining a grading standard;
2) if the post-construction settlement belongs to [100,200 ], q when the post-construction settlement is 200mm and 300mm can not be directly determined by a linear interpolation methodijThe value of q when the post-construction settlement is 100mm is determined by linear interpolationijValue and q corresponding to 100mm of post-construction settlementijValue 1/2 as q for 200mmijValue q corresponding to 100mm of post-construction settlementijValue 1/4 as q for 300mmijThe value is substituted for formula (1) or formula (2) to obtain the corresponding uijAnd determining a grading standard.
Step S2: then, each factor index is standardized, and a standard membership function suitable for the factor indexes of the first layer and the second layer is constructed by adopting an exponential normal distribution function, which specifically comprises the following steps:
according to uijAnd the belonging evaluation grade k is respectively subjected to standardization treatment according to the positive type and negative type attribute indexes:
Figure BDA0002899874240000063
thereby constructing a second layer factor index uijAnd (4) evaluating the membership function of the post-construction settlement of the index.
Figure BDA0002899874240000071
Figure BDA0002899874240000072
Figure BDA0002899874240000073
Figure BDA0002899874240000081
And calculating the factor index u of the second layer of the pre-analysis road sectionijThe membership degree of the value, thereby establishing an i-th class first-layer factor index UiRelation matrix R of lower second layer factor index and post-construction settlement evaluation gradei：
Figure BDA0002899874240000082
Wherein
Figure BDA0002899874240000083
Is a factor uijFor vkK is 1,2,3, 4.
Step S3: and finally, according to an entropy weight method, on the basis of determining the index weight of each layer of factor indexes, constructing a post-construction settlement comprehensive evaluation matrix of the composite foundation of the expressway, and predicting the variation range of the post-construction settlement, wherein the method specifically comprises the following steps:
s31: establishing a second layer factor weight set by adopting an entropy weight method
Figure BDA0002899874240000087
And carrying out first-layer comprehensive evaluation to obtain UiComprehensive evaluation matrix of
Figure BDA0002899874240000084
Wherein
Figure BDA0002899874240000085
S32: establishing a relation matrix R ═ B of the first layer factor index and the evaluation grade1B2B3B4]T；
S33: first layer factor weight set W determined by entropy weight method1w2w3w4]And carrying out second-layer comprehensive judgment to obtain a judgment matrix B ═ B of post-construction settlement1b2b3b4]Wherein
Figure BDA0002899874240000086
S34: and 4 elements of the analysis matrix B are respectively in one-to-one correspondence with 4 evaluation levels of the post-construction settlement evaluation set V, and the maximum element of the analysis matrix B is taken to correspond to the evaluation level of the post-construction settlement evaluation set V so as to determine the variation interval of the post-construction settlement value of the analyzed road section.
Examples
A certain highway in Guangdong province begins to be built in 2011 and 12 months, a communication vehicle is built in 2015 and 7 months, wherein a bridge head transition section K32+ 230-K32 +260 adopts a CFG pile composite roadbed processing mode. Geological survey data reveal that the thickness of a compressed soil layer of the road section is 22.6m, the average compression modulus is 6450kPa, the average cohesive force is 9.5kPa, and the internal friction angle is 6.7 degrees; the main construction indexes are as follows: the pile diameter is 0.4m, the pile length is 25m, the space is 2.2m, the pile body modulus is 8.0GPa, and the quincunx arrangement is adopted. The designed filling height of the road section is 5.3m, the designed filling speed is 30cm/d, and pre-pressing is not carried out due to short construction period; the broken stone cushion layer with the thickness of 30cm, the modulus of 100MPa and the internal friction angle of 35 degrees is adopted.
Firstly, according to a large amount of collected CFG pile composite roadbed engineering sample data, the existing standard requirements and the field survey results, the value range of each second layer factor index is given.
(1) Geological index u1. The method comprises the following steps: compressed soil thickness u11Compression modulus u12Cohesion force u13And internal angle of friction u14. In practical engineering, the CFG pile is mainly used for treating a roadbed with the thickness of the soft soil layer not more than 30m, otherwise, not only the pile forming quality is not easy to control, but also the cost performance is not high, so the value range of the thickness of the compressed soil layer is 0-30 m. The shear strength of the cross plate of the soft soil layer in the Guangdong region is generally 4-12 kPa, the lowest cohesive force c in the shear strength index is less than 3.2kPa, and the lowest internal friction angle
Figure BDA0002899874240000092
The porosity ratio is generally more than 1.0, and the compression coefficient is 0.5-1.0 MPa-1Within the range, the value ranges are respectively as follows: the cohesive force is 1-15 kPa, the internal friction angle is 1-10 degrees, and the compression modulus is 1-10 MPa.
(2) Pile body index u2. The method comprises the following steps: modulus u of pile body21Pile length u22Pile diameter u23And pile spacing u24. According to the requirements of section 4.1.5 of concrete structure design Specification, when the design strength is 5-20 MPa, integers are taken to obtain the value range of the compression modulus of the CFG pile body, wherein the value range is 800-30000 MPa. According to the depth and the standard requirement of the soft soil layer suitable for processing, the pile length is within the range of 0-30 m, and the pile diameter is taken0.35-0.60 m, and the distance between piles is 1.4-3.0 m.
(3) Bedding index u3. The method comprises the following steps: thickness u of the cushion layer31Modulus of the cushion layer u32And the inner friction angle u of the cushion layer33. The common thickness of the CFG pile composite roadbed cushion layer is 0.3-0.6 m, and the value range is 0-0.8 m in consideration of extreme conditions; the cushion layer is mainly medium coarse sand and broken stones, so that the modulus of the cushion layer ranges from 50MPa to 250MPa, and the internal friction angle ranges from 15 degrees to 60 degrees.
(4) Construction index u4. The method comprises the following steps: height u of filling41Fill rate u42Prepressing height u43And pre-pressing time u44. The filling height of the high-grade highway is mainly influenced by terrain and planning, and is usually not more than 20m except for few mountain roads, so that the value range of the filling height is 1-20 m. The normal loading rate of the embankment filling is 20-70 cm/d, and for convenience of analysis, the filling rate is 5-100 cm/d. The surcharge preloading mainly comprises underload preloading, equal-load preloading and overload preloading, wherein the overload height does not exceed 3.0m under the general condition, and the preloading time does not exceed 1 year, so the pre-load height has a value range of 0-3.0 m, and the preloading time has a value range of 0-360 d.
Obtaining the value range and the mode of each second-layer factor index according to the engineering condition of the area where the analyzed road section is located and the current national standard requirement; and taking the mode as an initial value, and calculating the post-construction settlement values one by respectively taking 5-6 values at equal intervals in the value range of each second-layer factor index by utilizing finite element software, and analyzing the single-factor influence post-construction settlement rule.
TABLE 2 initial conditions of the secondary factor index
Figure BDA0002899874240000091
And respectively carrying out normalization processing on the positive type attribute index and the negative type attribute index (the zero attribute index is processed according to the positive type index) so as to ensure that the post-construction settlement value is reduced along with the increase of the normalization index and the evaluation grade is better. Therefore, the relationship between post-construction settlement and the normalized value of each index can be obtained, and the relationship is shown in figures 1-4. Thereby determining the ranking criteria based on the results of the computational analysis.
TABLE 3 initial conditions and grading standards for Secondary factor indicators
Figure BDA0002899874240000101
The method comprises the steps of collecting design and construction data of 71 high-grade highway sections adopting CFG pile composite roadbeds for traffic of nearly 2-5 years in the Guangdong region. The entropy weight method is used for calculation, and the calculation result of the second layer factor index weight is shown in table 3.
W1＝[39.1 35.9 22.5 2.5]W2＝[27.4 24.3 26.9]21.4
W3＝[41.1 21.7 37.2]W4＝[22.3 9.3 37.4]31.0
According to the second layer factor index uijFor the evaluation index post-construction settlement membership function and the engineering conditions in this embodiment, the following can be obtained:
Figure BDA0002899874240000102
Figure BDA0002899874240000103
thereby obtaining
Figure BDA0002899874240000104
The weight set W of the first layer factor determined by the entropy weight method is [ 15.729.434.820.1 ]
Thereby obtaining B ═ WR [ 0.2220.2750.2620.192 ]
The 4 elements of the analysis matrix B are respectively in one-to-one correspondence with the 4 evaluation grades of the post-construction settlement evaluation set V, the second element of the analysis matrix B is the maximum element, and the evaluation grade corresponding to the post-construction settlement evaluation set V is V2And the post-construction settlement range is 100mm and 200 mm.

Claims (6)

1. A composite roadbed post-construction settlement prediction method based on fuzzy comprehensive evaluation is characterized by comprising the following steps:
s1: firstly, selecting an evaluation index set and two layers of factor index sets according to the characteristics of various influencing factors in the construction of the composite roadbed, and determining the value domain grading standards of the evaluation indexes and the factor indexes according to standard allowable values and finite element numerical simulation calculation results;
s2: then, carrying out standardization processing on each factor index, and constructing a standard membership function suitable for the factor indexes of the first layer and the second layer by adopting an exponential normal distribution function;
s3: and finally, constructing a post-construction settlement comprehensive evaluation matrix of the composite foundation of the expressway on the basis of determining the index weight of each layer according to an entropy weight method, and predicting the variation range of the post-construction settlement.
2. The method for predicting the settlement of the composite roadbed after the construction based on the fuzzy comprehensive evaluation as claimed in claim 1, wherein the step S1 specifically comprises the following substeps:
s11: establishing a judgment set V ═ V { V } according to the post-construction settlement change interval1,v2,v3,v4And a first layer factor index set U ═ U1,u2,u3,u4And second layer factor index set
Figure FDA0002899874230000011
Wherein: u. of1、u2、u3And u4Is an index of the first layer factor, uijIs an index of the second layer factor, niIs UiThe number of the included second layer factor indexes is as follows: 1,2,3,4, 1,2, …, ni；
S12: determining a second tier factor indicator uijCorresponding to the classification standard of the post-construction settlement evaluation set.
3. The fuzzy-based composite valuation of claim 2The method for predicting the post-construction settlement of the composite roadbed is characterized in that the first-layer factor indexes in the step S11 are geological indexes u1Pile body index u2And a cushion index u3And construction index u4；
The second layer factor index is the compressed soil layer thickness u11Compression modulus u12Cohesion force u13Inner angle of friction u14Modulus u of pile body21Pile length u22Pile diameter u23Pile spacing u24Thickness u of the cushion layer31Modulus of the cushion layer u32Inner friction angle u of cushion layer33Fill height u41Fill rate u42Prepressing height u43And pre-pressing time u44。
4. The method for predicting the settlement of the composite roadbed after the construction based on the fuzzy comprehensive evaluation as claimed in claim 1, wherein in step S12, the second layer factor index uijThe method for determining the grading standard corresponding to the post-construction settlement evaluation set comprises the following steps:
step 120: according to the engineering conditions of the area where the analyzed road section is located and the current national standard requirements, the value range and the mode of each second-layer factor index are given;
step 121: taking the mode of the second layer factor indexes as an initial value, and respectively taking 5-6 values at equal intervals in the value range of each second layer factor index by adopting a finite element numerical value calculation method to calculate the post-construction settlement value one by one;
step 122: according to the factor index u of post-construction settlement along with the second layerijThe change rule of (1) isijThe method is divided into three categories:
1) negative type indexes are as follows: is accompanied by uijThe value is increased, the post-construction settlement value is increased, and the evaluation grade is reduced;
2) the positive index is as follows: is accompanied by uijThe value is increased, the post-construction settlement value is reduced, and the evaluation grade is improved;
3) zero attribute index: is accompanied by uijThe value is increased, the post-construction settlement value is not obviously changed, and the variation quantity is less than 50 mm;
step 123: respectively carrying out normalization processing on positive and negative attribute indexes to ensure that the post-construction settlement value is reduced and the evaluation grade is better along with the increase of the normalization indexes;
the positive index normalization formula:
Figure FDA0002899874230000021
negative class index normalization formula:
Figure FDA0002899874230000022
in the formula:
Figure FDA0002899874230000023
is a positive type index or a zero attribute index,
Figure FDA0002899874230000024
is a negative index, qijQ is a normalized value of each index, 0 is more than or equal to qij≤1；
Step 124: analysis of post-construction Settlement with qijThe change rule of (2) is that the q is determined by linear interpolation when the post-construction settlement is 100mm,200mm and 300mmijThe value is substituted for formula (1) or formula (2) to obtain the corresponding uijDetermining a grading standard, wherein the zero attribute index belongs to v within the value range1Grade;
wherein when q isijWhen the value is 0:
1) if the post-construction settlement belongs to [200,300 ], the q when the post-construction settlement is 300mm can not be directly determined by a linear interpolation methodijThe values, q, for the post-construction settlement of 100mm and 200mm are determined by linear interpolationijValue and q corresponding to 200mm of post-construction settlementijValue 1/2 as q for 300mmijThe value is substituted for formula (1) or formula (2) to obtain the corresponding uijDetermining a grading standard;
2) if the post-construction settlement belongs to [100,200 ], q when the post-construction settlement is 200mm and 300mm can not be directly determined by a linear interpolation methodijThe value is determined as 100mm post-construction settlement by linear interpolationQ of (a) isijValue and q corresponding to 100mm of post-construction settlementijValue 1/2 as q for 200mmijValue q corresponding to 100mm of post-construction settlementijValue 1/4 as q for 300mmijThe value is substituted for formula (1) or formula (2) to obtain the corresponding uijAnd determining a grading standard.
5. The method for predicting the settlement of the composite roadbed after construction based on the fuzzy comprehensive evaluation as claimed in claim 1, wherein the step S2 is specifically as follows:
constructing a second layer factor index uijEvaluating the membership function of the index post-construction settlement and calculating the factor index u of the second layer of the pre-analysis road sectionijThe membership degree of the value, thereby establishing an i-th class first-layer factor index UiRelation matrix R of lower second layer factor index and post-construction settlement evaluation gradei：
Figure FDA0002899874230000031
Wherein
Figure FDA0002899874230000032
Is a factor uijFor vkK is 1,2,3, 4.
6. The method for predicting the settlement of the composite roadbed after the construction based on the fuzzy comprehensive evaluation as claimed in claim 1, wherein the step S3 specifically comprises the following substeps:
s31: establishing a second layer factor weight set by adopting an entropy weight method
Figure FDA0002899874230000033
And carrying out first-layer comprehensive evaluation to obtain UiComprehensive evaluation matrix of
Figure FDA0002899874230000034
Wherein
Figure FDA0002899874230000035
S32: establishing a relation matrix R ═ B of the first layer factor index and the evaluation grade1 B2 B3 B4]T；
S33: first layer factor weight set W determined by entropy weight method1 w2 w3 w4]And carrying out second-layer comprehensive judgment to obtain a judgment matrix B ═ B of post-construction settlement1 b2 b3 b4]Wherein
Figure FDA0002899874230000036
S34: and 4 elements of the analysis matrix B are respectively in one-to-one correspondence with 4 evaluation levels of the post-construction settlement evaluation set V, and the maximum element of the analysis matrix B is taken to correspond to the evaluation level of the post-construction settlement evaluation set V so as to determine the variation interval of the post-construction settlement value of the analyzed road section.
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