CN112966425B - Slope stability prediction and evaluation method - Google Patents
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Abstract
The invention discloses a method for predicting and evaluating slope stability, which comprises the following steps: 1, selecting a slope stability judgment index and determining an allowable safety factor [ K ]; 2, constructing a slope model according to a slope to be predicted, and acquiring a data set of a judgment index and a corresponding stability result by utilizing engineering simulation software; 3, carrying out maximum value and minimum value normalization processing on the data set; 4, constructing a slope stability prediction model based on an integrated learning algorithm according to the data set after normalization processing; and 5, acquiring actual judgment index data of the slope to be detected during evaluation, and bringing the actual judgment index data into a slope stability prediction model to obtain a slope stability prediction result. The method and the device can realize the stability safety prediction of the side slope on the basis of not damaging the soil body structure, and have the advantages of high prediction reliability and good accuracy.
Description
Technical Field
The invention relates to the technical field of slope soil safety monitoring, in particular to a slope stability prediction and evaluation method.
Background
The slope stability refers to the stability degree of the rock and soil bodies of the slope under the conditions of certain slope height and slope angle. According to the cause, the side slopes are divided into natural slopes and artificial slopes, and the latter are divided into excavation side slopes, dam side slopes and the like. Unstable natural slopes and artificial slopes with too large design slope angles are frequently damaged by sliding or collapsing under the action of gravity, water pressure, vibration force and other external forces of rocks and soil bodies. Large-scale damage of the rock and soil bodies on the side slopes can cause traffic interruption, building collapse, river blockage and reservoir silting, and bring huge losses to the lives and properties of people. Therefore, the method has important significance in researching the prediction and monitoring of slope instability.
The existing slope stability monitoring method generally realizes monitoring by burying a sensor in a slope soil body or arranging a camera above a slope. For example, CN207335617U discloses a monitoring structure for stability of an existing roadbed and a slope, and CN112432661A discloses a slope stability monitoring system based on a BIM platform. All belong to this technology. The mode of burying the sensor underground in the side slope easily causes the influence to the structure and the stability of side slope self. And the mode of camera control, the reliability is relatively poor.
In the prior art, there are some methods for predicting slope stability, for example, a slope stability monitoring and instability prediction method based on rock-soil mass strain state mutation disclosed in CN 101718876B; CN103163563B discloses a three-dimensional slope stability prediction method. But still has the defects of great influence on the slope structure, less consideration, low prediction precision and the like.
Therefore, how to provide a slope stability monitoring method with more comprehensive consideration and better reliability becomes a problem to be considered by the technical personnel in the field.
Disclosure of Invention
Aiming at the defects of the prior art, the technical problems to be solved by the invention are as follows: the method for predicting and evaluating the stability of the slope can realize the safety prediction of the stability of the slope on the basis of not damaging the soil structure and has high prediction reliability.
In order to solve the technical problems, the invention adopts the following technical scheme:
a slope stability prediction and evaluation method is characterized by comprising the following steps:
1 selecting slope stability judgment index and determining allowable safety factor K]The selected determination indexes are: volume weight gamma, cohesion c, angle of frictionSide slope angle phi, side slope height H and pore pressure ratio ru;
2, constructing a slope model according to a slope to be predicted, and calculating to obtain a judgment index and a corresponding data set of a safety coefficient by utilizing engineering simulation software; then, judging the stability, if the slope safety coefficient is greater than or equal to the allowable safety coefficient, determining the slope safety coefficient as stable, and if the slope safety coefficient is less than the allowable safety coefficient, determining the slope safety coefficient as unstable, and further obtaining a judgment index and a data set corresponding to a stability result;
3, carrying out maximum value and minimum value normalization processing on the data set;
4, constructing a slope stability prediction model based on an integrated learning algorithm according to the data set after normalization processing;
and 5, acquiring actual judgment index data of the slope to be detected during evaluation, and bringing the data into a slope stability prediction model to obtain a slope stability prediction result.
Therefore, in the method, the selected judgment indexes have the internal relevance with the slope stability, but are in a nonlinear relation with each other, so that the prediction precision can be more comprehensively improved according to the judgment indexes. Specifically, the side slope angle phi and the side slope height H belong to geometric factors, which means that the higher the side slope height of the side slope body is, i.e. the larger the side slope angle is, the lower the safety coefficient of the side slope is, and the more easy the instability is; conversely, the smaller the slope height, i.e., the smaller the slope angle, the higher the safety factor of the slope, and at this time, the more stable the slope. Volume weight gamma, cohesion c, angle of frictionAnd pore pressure ratio ruThe soil mechanical indexes of the slope body are all the greater the volume weight of the soil body is, the greater the cohesive force is, the greater the friction angle is, and the greater the stability coefficient of the slope isHigh, namely the greater the safety factor, the more stable the slope body is; on the contrary, the smaller the volume weight of the soil body, the smaller the cohesive force, the smaller the friction angle and the lower the stability coefficient of the side slope, i.e. the lower the safety coefficient, the instability of the slope body is easy to generate. Meanwhile, the 6 influencing factors and the slope stability are in a complex nonlinear relation, and the traditional method cannot accurately describe the slope stability. Meanwhile, in the method, the engineering simulation software is utilized to obtain the judgment index and the data set corresponding to the safety coefficient, so that the strong simulation capability of the engineering simulation software is utilized, the data does not need to be acquired on site, the defect of data shortage is overcome, and the prediction precision can be better improved.
Further, the slope allowable safety factor [ K ] is set to 1.3, and a slope safety factor of 1.3 or more is regarded as stable, and a slope safety factor of less than 1.3 is regarded as unstable.
The allowable safety coefficient of the side slope is generally between 1.1 and 1.35, and a larger safety coefficient is preferably selected in the scheme, so that the safety can be better ensured.
Further, step 2 specifically includes the following steps:
2.1 randomly generating not less than 100 groups of index parameters in Matlab software to obtain a data set related to the judgment indexWherein the ratio of gamma, c,Φ,H,rurespectively a one-dimensional column vector;
2.2, constructing a slope model according to the slope to be predicted, inputting randomly generated index parameters (other required parameters are selected to be default) by utilizing engineering simulation software, and solving the safety coefficient K corresponding to each group of index parameters by adopting a strength reduction method;
2.3 the calculated safety factor K and the allowable safety factor K]By comparison, if K is not less than [ K ]]Considered stable, represented by 0, K < [ K ]]Considered destabilizing, indicated by 1; obtaining a data set of decision metrics and corresponding stability results R is ∈ {0,1}, and is a 1-dimensional column vector.
The Matlab software is the existing mathematical software for data analysis, and index parameters are randomly generated by the software, so that the mean values of the index parameters can be better close to the real index parameters, and the reference value is improved. The engineering simulation software can be realized by adopting finite elements, discrete elements, finite differences and other software, is mature engineering simulation software, has strong simulation capability, and can be used for simulation and performance calculation of building or geological engineering units. The specific simulation process is the prior art for realizing the functions of the software, and is not detailed here. The safety coefficient is solved by adopting the intensity reduction method, so that the reliability of solving the safety coefficient can be better ensured.
Further, in step 2.2, a model of the slope to be detected is established in the CAD software, and is output as a format file (such as a × dxf format) that can be identified by the engineering simulation software, and then the format file is imported into the engineering simulation software; then, grid division is firstly carried out in engineering simulation software, and boundary conditions are determined, wherein the left side and the right side of the boundary conditions are generally horizontally constrained, the lower part of the boundary conditions is fixed, and the upper part of the boundary conditions is a free boundary; the initial ground stress is selected as a dead weight ground stress field; then, randomly generated index parameters, namely gamma, c,Φ,H,ru(other parameters are selected as defaults), and solving the safety coefficient K by adopting an intensity reduction method.
Therefore, the method has better operability and is convenient and quick to operate.
Further, the engineering simulation software is implemented by using OptunG 2 software.
The software is the existing rock-soil analysis software for finite element analysis, and the data set of the slope safety coefficient is obtained by adopting the software, so that the method is more accurate and reliable. Of course, other existing finite element analysis software, discrete element analysis software, or finite difference software may be used.
Further, the step 2 specifically includes the following steps: 2.4, carrying out Pearson correlation analysis on the data set T1 to obtain a correlation coefficient matrix, and if the absolute value of the correlation is less than or equal to a preset value, indicating that the selected index and the generated data are reasonable; otherwise the data should be regenerated.
Therefore, random generated data which are not reasonable enough can be eliminated, the rationality of data adopted by subsequent training is better ensured, and the reliability of the evaluation model is improved. The preset value can be usually 0.5, and according to research, when the absolute value R of the correlation coefficient is 1, complete correlation is indicated; when R is more than or equal to 0.8 and less than 1, the correlation is high; when R is greater than or equal to 0.5 and less than 0.8, significant correlation is indicated, and when R is less than 0.5, low correlation or no correlation is indicated. Therefore 0.5 can be set as a critical threshold as our preset value. When the correlation is smaller, the generated data have better independence, and a more complex nonlinear relation exists, so that the method can be directly used for the model; if the correlation is large, the independence between the generated data is poor, and at this time, the effectiveness of the selected index is reduced and is not in accordance with the reality.
Further, step 3 specifically includes: carrying out maximum and minimum normalization processing on the data set to reduce the influence of the dimension on the prediction result, wherein the mapping interval is [0,1 ]; the concrete formula is as follows:
in the formula: z is the original characteristic value, zmaxAnd zminRespectively the maximum and minimum values of the class characteristic, z*And taking the value of the feature after normalization.
After the data are normalized, the influence of the dimension on the prediction result can be reduced, and the reliability of a subsequent training model is ensured.
Further, step 4 specifically includes the following steps:
4.0 normalization ofData set T1Dividing the training set into a training set A and a test set B, wherein the length of the training set A is generally larger than that of the test set B;
4.1, constructing a slope stability tendency prediction model based on the XGboost ensemble learning algorithm by using the samples of the training set A:
4.2, optimizing main parameters of a slope stability tendency prediction model based on the XGboost ensemble learning algorithm by adopting a grid search algorithm and 5-fold cross validation:
and 4.3, testing the prediction result of the model with the optimized parameters by using the samples in the test set B, and if the error rate is lower than a threshold value (generally, the error rate is less than or equal to 0.1, the test is qualified, otherwise, the parameters in the model are optimized again until the requirements are met), determining that the test is passed.
In this way, the reliability of the model can be better ensured.
Further, in step 4.1, the XGBoost ensemble learning algorithm-based slope stability inclination prediction model has the expression:
in the formula: y isrIs the predicted value of the r-th sample in the model, fkIs the basis function of the kth classification regression tree, K is the total number of classification regression trees, xrIs the r-th input sample, and F is the hypothesis space;
wherein, for each classification regression tree, the objective function L is represented as:
in the formula: m is the total number of samples, l (-) represents the loss function, yiAndactual values and predicted values are respectively, and omega (-) is a regular term;
wherein, the edges based on XGboost ensemble learning algorithmInputting a slope stability tendency prediction model: in A
The method comprises the following steps of outputting a slope stability tendency prediction model based on an XGboost ensemble learning algorithm: utilizing softmax in the XGboost algorithm as an objective function, and finally returning the prediction category, namely judging whether the prediction category is 0 or 1;
the method comprises the following steps of A, obtaining a loss function of a slope stability tendency prediction model based on an XGboost ensemble learning algorithm: a default binary error rate (error) is used.
The model can be used for realizing prediction more accurately and reliably.
Further, step 4.2 may comprise the steps of:
in the first step, the required control parameters are determined, where 8 parameters are selected that have a greater influence on the model, namely: the method comprises the steps of classifying the number of regression trees, randomly extracting a sample proportion, classifying the maximum depth of the regression trees, learning rate, randomly adopting a characteristic proportion, a complexity penalty term, an L2 regular term, leaf node weight and a minimum value;
secondly, determining the value range of the adjusting parameter, and setting the optimization standard to be that error is less than or equal to 0.01 as shown in table 2;
TABLE 2 parameter settings ranges
Thirdly, preliminarily constructing a grid according to different value ranges of each parameter, setting a proper step length, calculating the average value of two-classification error rates after 5 times of iterative computation of each point in the grid, and recording data;
fourthly, judging the size relation between the recorded value and 0.01, and if the recorded value is less than or equal to 0.01, determining the recorded value as an optimal parameter combination; if the ratio is more than 0.01, carrying out the fifth step;
fifthly, setting a smaller step length by taking the point with the minimum error value in the third step as a center and taking the adjacent points as boundaries to obtain finer grid division, calculating the two-classification error rate error of each point in the grid after 5 times of iterative computation, and recording data;
and repeating the fourth step until the requirements are met.
The method is adopted to realize the optimization of the model parameters, the XGboost algorithm model is optimized by using the grid search method, the tuning process is simple, the overall optimal parameters can be obtained, and the accuracy of the model is further improved; meanwhile, the use of 5-fold cross validation can effectively avoid accidental errors of the test to a certain extent.
Further, step 4 also includes step 4.4: constructing a confusion matrix to judge the generalization ability of the model; the specific process is as follows:
the confusion matrix is established as shown in table 3, and the number of actually stable samples is TP and the number of actually unstable samples is FP in the samples predicted to be stable; in the samples predicted to be unstable, the number of the samples actually stable is FN, and the number of the samples actually unstable is TN;
TABLE 3 confusion matrix
And 4 types of indexes are provided for comprehensively evaluating the prediction result:
the calculated values of the 4 indexes are larger than a preset value (generally, Acc, Pre, Rec and F1-Score are more than or equal to 0.90 and meet the requirement, but the larger the index value is, the more accurate the prediction month of the model is, the stronger the generalization ability is, and the more accurate the prediction ability of the method is), the generalization ability is considered to meet the requirement.
Therefore, the reliability and the accuracy of model prediction can be better ensured through the generalization capability judgment.
In the step 5, the acquisition modes of the actual values of the 6 indexes are mature prior art, and specifically, the side slope angle phi and the side slope height H can be acquired through equipment such as a total station and the like; for volume weight gamma, cohesion c, angle of frictionAnd pore pressure ratio ruThe method can be used for sampling the researched slope soil body, then transporting the sample to a laboratory for carrying out corresponding soil mechanics experiments, and further obtaining related parameters, wherein the obtaining process is not a place where the method contributes to the prior art, and is not detailed here.
To sum up, this application can realize the stability safety prediction of side slope on the basis of not destroying the soil body structure, has the prediction reliability height, advantage that the accuracy is good.
Drawings
FIG. 1 is a schematic diagram of a slope model to be detected established in cad software.
FIG. 2 is a schematic diagram of mesh partitioning and boundary conditions performed in the engineering simulation software.
FIG. 3 is a schematic flow chart of the method in practice.
Fig. 4 is a schematic flow chart of step 4.2 of the method in practice.
Detailed Description
The present invention will be described in further detail with reference to specific embodiments.
The specific implementation mode is as follows: referring to fig. 1-4, a slope stability prediction evaluation method includes the following steps (see fig. 3):
1 selecting slope stability judgment index and determining allowable safety factor K]The selected determination indexes are: volume weight gamma, cohesion c, angle of frictionSide slope angle phi, side slope height H and pore pressure ratio ru;
2, constructing a slope model according to a slope to be predicted, and calculating to obtain a data set of a judgment index and a corresponding safety coefficient by utilizing engineering simulation software; then, judging the stability, if the slope safety coefficient is greater than or equal to the allowable safety coefficient, determining the slope safety coefficient as stable, and if the slope safety coefficient is less than the allowable safety coefficient, determining the slope safety coefficient as unstable, and further obtaining a judgment index and a data set corresponding to a stability result;
3, carrying out maximum value and minimum value normalization processing on the data set;
4, constructing a slope stability prediction model based on an integrated learning algorithm according to the data set after normalization processing;
and 5, acquiring actual judgment index data of the slope to be detected during evaluation, and bringing the data into a slope stability prediction model to obtain a slope stability prediction result.
Therefore, in the method, the selected judgment indexes have the internal relevance with the slope stability, but are in a nonlinear relation with each other, so that the prediction precision can be more comprehensively improved according to the judgment indexes. Specifically, the side slope angle phi and the side slope height H belong to geometric factors, which means that the higher the side slope height of the side slope body is, i.e. the larger the side slope angle is, the lower the safety coefficient of the side slope is, and the more easy the instability is; conversely, the smaller the slope height, i.e., the smaller the slope angle, the higher the safety factor of the slope, and at this time, the more stable the slope. Volume weight gamma, cohesion c, angle of frictionAnd pore pressure ratio ruAll the soil mechanical indexes of the slope body, the larger the volume weight of the soil body is, the cohesionThe larger the force is, the larger the friction angle is, the higher the stability coefficient of the side slope is, namely, the higher the safety factor is, the more stable the slope body is; on the contrary, the smaller the volume weight of the soil body, the smaller the cohesive force, the smaller the friction angle and the lower the stability coefficient of the side slope, i.e. the lower the safety coefficient, the instability of the slope body is easy to generate. Meanwhile, the 6 influencing factors and the slope stability are in a complex nonlinear relation, and the traditional method cannot accurately describe the slope stability. Meanwhile, in the method, the engineering simulation software is utilized to obtain the judgment index and the data set corresponding to the safety coefficient, so that the strong simulation capability of the engineering simulation software is utilized, the data does not need to be acquired on site, the defect of data shortage is overcome, and the prediction precision can be better improved.
In specific implementation, the slope allowable safety factor [ K ] is set to be 1.3, the slope safety factor is considered to be stable when the slope allowable safety factor [ K ] is greater than or equal to 1.3, and the slope allowable safety factor [ K ] is considered to be unstable when the slope allowable safety factor [ K ] is less than 1.3.
The allowable safety coefficient of the side slope is generally between 1.1 and 1.35, and a larger safety coefficient is preferably selected in the scheme, so that the safety can be better ensured.
In specific implementation, the step 2 specifically comprises the following steps:
2.1 randomly generating not less than 100 groups of index parameters in Matlab software to obtain a data set related to the judgment indexWherein the ratio of gamma, c,Φ,H,rurespectively a one-dimensional column vector; the respective mean values of the two methods are optimized by approximate real index parameters;
2.2, constructing a slope model according to the slope to be predicted, inputting randomly generated index parameters (other required parameters are selected to be default) by utilizing engineering simulation software, and solving the safety coefficient K corresponding to each group of index parameters by adopting a strength reduction method;
2.3 the calculated safety factor K and the allowable safety factor K]By comparison, if K is not less than [ K ]]Considered stable, represented by 0, K < [ K ]]Considered destabilizing, indicated by 1; obtaining a determination index and corresponding stabilityResulting data set R is ∈ {0,1}, and is a 1-dimensional column vector.
Table 1 shows the partial data set obtained using the inopumg 2 module.
TABLE 1 data set
The Matlab software is the existing mathematical software for data analysis, and index parameters are randomly generated by adopting the software, so that the respective mean values of the index parameters can be better close to the real index parameters, and the reference value is improved. The engineering simulation software can be realized by adopting finite elements, discrete elements, finite differences and other software, is mature engineering simulation software, has strong simulation capability, and can be used for simulation and performance calculation of building or geological engineering units. The specific simulation process is the prior art for realizing the functions of the software, and is not detailed here. The safety coefficient is solved by adopting the intensity reduction method, so that the reliability of solving the safety coefficient can be better ensured.
In step 2.2, a model of the slope to be detected (as shown in fig. 1) is established in CAD software, a format file (such as a × dxf format) which can be identified by the engineering simulation software is output, and then the format file is imported into the engineering simulation software; then, firstly, grid division is carried out in engineering simulation software (as shown in figure 2), boundary conditions are determined, the left side and the right side of the boundary conditions are generally horizontally restricted, the lower part of the boundary conditions is fixed, and the upper part of the boundary conditions is a free boundary; the initial ground stress is selected as a dead weight ground stress field; then, randomly generated index parameters, namely gamma, c,Φ,H,ru(other parameter selection defaults) byAnd solving the safety coefficient K by the intensity reduction method.
Therefore, the method has better operability and is convenient and quick to operate.
Wherein, the engineering simulation software is realized by OptunG 2 software.
The software is the existing rock-soil analysis software for finite element analysis, and the data set of the slope safety coefficient is obtained by adopting the software, so that the method is more accurate and reliable. Of course, other existing finite element analysis software, discrete element analysis software, or finite difference software may be used.
In practice, the step 2 further comprises the following steps: 2.4 pairs of data sets T1Performing Pearson correlation analysis to obtain a correlation coefficient matrix, and if the correlation is less than or equal to a preset value (in the embodiment, the preset value is 0.5), indicating that the selected index and the generated data are reasonable; otherwise the data should be regenerated.
Therefore, random generated data which are not reasonable enough can be eliminated, the rationality of data adopted by subsequent training is better ensured, and the reliability of the evaluation model is improved. The preset value can be usually 0.5, and according to research, when the absolute value R of the correlation coefficient is 1, complete correlation is indicated; when R is more than or equal to 0.8 and less than 1, the correlation is high; when R is greater than or equal to 0.5 and less than 0.8, significant correlation is indicated, and when R is less than 0.5, low correlation or no correlation is indicated. Therefore 0.5 can be set as a critical threshold as our preset value. When the correlation is smaller, the generated data have better independence, and a more complex nonlinear relation exists, so that the method can be directly used for the model; if the correlation is large, the independence between the generated data is poor, and at this time, the effectiveness of the selected index is reduced and is not in accordance with the reality.
In practice, step 3 specifically comprises: carrying out maximum and minimum normalization processing on the data set to reduce the influence of the dimension on the prediction result, wherein the mapping interval is [0,1 ]; the specific formula is as follows:
in the formula: z is the original characteristic value, zmaxAnd zminRespectively the maximum and minimum values of the class characteristic, z*And taking the value of the feature after normalization.
After the data are normalized, the influence of the dimension on the prediction result can be reduced, and the reliability of a subsequent training model is ensured.
When implemented, the step 4 specifically comprises the following steps:
4.0 normalization of the processed data set T1Dividing the training set into a training set A and a test set B, wherein the length of the training set A is generally larger than that of the test set B;
4.1, constructing a slope stability tendency prediction model based on the XGboost ensemble learning algorithm by using the samples of the training set A:
4.2, optimizing main parameters of a slope stability tendency prediction model based on the XGboost ensemble learning algorithm by adopting a grid search algorithm and 5-fold cross validation:
4.3, testing the prediction result of the model with the optimized parameters by using the samples in the test set B, if the error rate is less than or equal to 0.1, the test is qualified, otherwise, the parameters in the model are optimized again until the requirements are met.
In this way, the reliability of the model can be better ensured.
In the implementation, in step 4.1, the expression of the slope stability tendency prediction model based on the XGBoost ensemble learning algorithm is as follows:
in the formula: y isrIs the predicted value of the r-th sample in the model, fkIs the basis function of the kth classification regression tree, K is the total number of classification regression trees, xrIs the r-th input sample, and F is the hypothesis space;
wherein, for each classification regression tree, the objective function L is represented as:
in the formula: m is the total number of samples, l (-) represents the loss function, yiAndactual values and predicted values are respectively, and omega (-) is a regular term;
the method comprises the following steps of inputting a slope stability tendency prediction model based on an XGboost ensemble learning algorithm: in A
The method comprises the following steps of outputting a slope stability tendency prediction model based on an XGboost ensemble learning algorithm: utilizing softmax in the XGboost algorithm as an objective function, and finally returning the prediction category, namely judging whether the prediction category is 0 or 1;
the method comprises the following steps of A, obtaining a loss function of a slope stability tendency prediction model based on an XGboost ensemble learning algorithm: a default binary error rate (error) is used.
The model can be used for realizing prediction more accurately and reliably.
In practice, referring to fig. 4, step 4.2 may comprise the following steps: (in practice, when the parameter value range is referred to in the present application, the value is usually obtained based on an empirical value in a conventional manner when corresponding software operates, if not described otherwise)
In a first step, the required control parameters are determined, wherein 8 parameters that have a greater influence on the model are selected, namely: the method comprises the steps of classifying the number of regression trees, randomly extracting a sample proportion, classifying the maximum depth of the regression trees, learning rate, randomly adopting a characteristic proportion, a complexity penalty term, an L2 regular term, leaf node weight and a minimum value;
secondly, determining the value range of the adjusting parameter, and setting the optimization standard to be that error is less than or equal to 0.01 as shown in table 2;
TABLE 2 parameter settings ranges
Thirdly, preliminarily constructing a grid according to different value ranges of each parameter, setting a proper step length, calculating the error rate error mean value of each point in the grid after 5 times of iterative computation, and recording data;
fourthly, judging the size relation between the recorded value and 0.01, and if the recorded value is less than or equal to 0.01, determining the recorded value as the optimal parameter combination; if the ratio is more than 0.01, carrying out the fifth step;
fifthly, setting a smaller step length by taking the point with the minimum error value in the third step as a center and taking the adjacent points as boundaries to obtain finer grid division, calculating the two-classification error rate error of each point in the grid after 5 times of iterative computation, and recording data;
and repeating the fourth step until the requirements are met.
The method is adopted to realize the optimization of the model parameters, the XGboost algorithm model is optimized by using the grid search method, the tuning process is simple, the overall optimal parameters can be obtained, and the accuracy of the model is further improved; meanwhile, the use of 5-fold cross validation can effectively avoid accidental errors of the test to a certain extent.
Wherein, step 4 also includes step 4.4: constructing a confusion matrix to judge the generalization ability of the model; the specific process is as follows:
the confusion matrix is established as shown in table 3, and the number of actually stable samples is TP and the number of actually unstable samples is FP in the samples predicted to be stable; in the samples predicted to be unstable, the number of the samples actually stable is FN, and the number of the samples actually unstable is TN;
TABLE 3 confusion matrix
And 4 types of indexes are provided for comprehensively evaluating the prediction result:
the calculated values of the 4 indexes are larger than a preset value (generally, Acc, Pre, Rec and F1-Score are more than or equal to 0.90 and meet the requirement, but the larger the index value is, the more accurate the prediction month of the model is, the stronger the generalization ability is, and the more accurate the prediction ability of the method is), the generalization ability is considered to meet the requirement.
Therefore, the reliability and the accuracy of model prediction can be better ensured through the generalization capability judgment.
In the step 5, the acquisition modes of the actual values of the 6 indexes are mature prior art, and specifically, the side slope angle phi and the side slope height H can be acquired through equipment such as a total station and the like; for volume weight gamma, cohesion c, angle of frictionAnd pore pressure ratio ruThe method can be used for sampling the researched slope soil body, then transporting the sample to a laboratory for carrying out corresponding soil mechanics experiments, and further obtaining related parameters, wherein the obtaining process is not a place where the method contributes to the prior art, and is not detailed here.
Claims (6)
1. A slope stability prediction and evaluation method is characterized by comprising the following steps:
1 selecting and determining slope stability judgment indexesPermissible safety factor [ K]The selected judgment indexes are respectively: volume weight gamma, cohesion c, angle of frictionSide slope angle phi, side slope height H and pore pressure ratio ru;
2, constructing a slope model according to a slope to be predicted, and calculating to obtain a judgment index and a corresponding data set of a safety coefficient by utilizing engineering simulation software; then, judging the stability, if the slope safety coefficient is greater than or equal to the allowable safety coefficient, determining the slope safety coefficient as stable, and if the slope safety coefficient is less than the allowable safety coefficient, determining the slope safety coefficient as unstable, and further obtaining a judgment index and a data set corresponding to a stability result;
3, carrying out maximum value and minimum value normalization processing on the data set;
4, constructing a slope stability prediction model based on an integrated learning algorithm according to the data set after normalization processing;
5, acquiring actual judgment index data of the slope to be detected during evaluation, and bringing the data into a slope stability prediction model to obtain a slope stability prediction result;
the step 2 specifically comprises the following steps:
2.1 randomly generating not less than 100 groups of index parameters in Matlab software to obtain a data set related to the judgment indexWherein the ratio of gamma, c,Φ,H,rurespectively a one-dimensional column vector;
2.2 constructing a slope model according to the slope to be predicted, inputting randomly generated index parameters by utilizing engineering simulation software, and solving the safety coefficient K corresponding to each group of index parameters by adopting a strength reduction method;
2.3 the calculated safety factor K and the allowable safety factor K]By comparison, if K is not less than [ K ]]Considered stable, represented by 0, K < [ K ]]Considered destabilizing, indicated by 1; obtaining the judgment index and the corresponding stability nodeData set of fruits R belongs to {0,1}, and is a 1-dimensional column vector;
step 2.2 specifically, a model of the slope to be detected is established in CAD software, a format file which can be identified by engineering simulation software is output, and then the format file is imported into the engineering simulation software; then, firstly, carrying out grid division in engineering simulation software, determining boundary conditions, wherein the left side and the right side of the boundary conditions are horizontally constrained, the lower part of the boundary conditions is fixed, and the upper part of the boundary conditions is a free boundary; the initial ground stress is selected as a dead weight ground stress field; then, randomly generated index parameters, namely gamma, c,Φ,H,rusolving the safety coefficient K by adopting an intensity reduction method;
the engineering simulation software is realized by OptunG 2 software;
the step 2 specifically comprises the following steps: 2.4 pairs of data sets T1Performing Pearson correlation analysis to obtain a correlation coefficient matrix, and if the correlation is smaller than or equal to a preset value, indicating that the selected index and the generated data are reasonable; otherwise the data should be regenerated.
2. The slope stability prediction evaluation method of claim 1, wherein the slope allowable safety factor [ K ] is set to 1.3, and a slope safety factor greater than or equal to 1.3 is considered stable, and a slope safety factor less than 1.3 is considered unstable.
3. The slope stability prediction assessment method according to claim 1, wherein step 3 specifically comprises: carrying out maximum and minimum normalization processing on the data set to reduce the influence of the dimension on the prediction result, wherein the mapping interval is [0,1 ]; the specific formula is as follows:
in the formula: z is the original characteristic value, zmaxAnd zminRespectively the characteristic maximum and minimum, z*And taking the value of the feature after normalization.
4. The slope stability prediction assessment method of claim 1, characterized in that: the step 4 specifically comprises the following steps:
4.0 normalization of the processed data set T1Dividing the training set into a training set A and a testing set B, wherein the length of the training set A is larger than that of the testing set B;
4.1, constructing a slope stability tendency prediction model based on the XGboost ensemble learning algorithm by using the samples of the training set A:
4.2, optimizing main parameters of a slope stability tendency prediction model based on the XGboost ensemble learning algorithm by adopting a grid search algorithm and 5-fold cross validation:
4.3 using the samples in the test set B to test the prediction result of the model after the parameters are optimized, and if the error rate is lower than the threshold value, the test is regarded as passing.
5. The method for predicting and evaluating slope stability according to claim 4, wherein in step 4.1, the expression of the slope stability tendency prediction model based on the XGboost ensemble learning algorithm is as follows:
in the formula: y isrIs the predicted value of the r-th sample in the model, fkIs the basis function of the kth classification regression tree, K is the total number of classification regression trees, xrIs the r-th input sample, and F is the hypothesis space;
wherein, for each classification regression tree, the objective function L is represented as:
in the formula: m is the total number of samples, l (-) represents the loss function, yiAndactual values and predicted values are respectively, and omega (-) is a regular term;
the method comprises the following steps of inputting a slope stability tendency prediction model based on an XGboost ensemble learning algorithm: in A
The method comprises the following steps of outputting a slope stability tendency prediction model based on an XGboost ensemble learning algorithm: utilizing softmax in the XGboost algorithm as a target function, and finally returning the predicted category, namely judging whether the predicted category is 0 or 1;
the method comprises the following steps of A, obtaining a loss function of a slope stability tendency prediction model based on an XGboost ensemble learning algorithm: a default binary error rate is employed.
6. The slope stability prediction assessment method of claim 4, wherein step 4 further comprises step 4.4: constructing a confusion matrix to judge the generalization ability of the model; the specific process is as follows:
the confusion matrix is established as shown in table 3, and the number of actually stable samples is TP and the number of actually unstable samples is FP in the samples predicted to be stable; in the samples predicted to be unstable, the number of the samples actually stable is FN, and the number of the samples actually unstable is TN;
TABLE 3 confusion matrix
And 4 types of indexes are provided for comprehensively evaluating the prediction result:
and if the calculated values of the 4 indexes are larger than a preset threshold value, the generalization capability is considered to meet the requirement.
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