CN108629123A - Theoretical subway work Analysis on ground settlement method and system are maximized based on information - Google Patents

Theoretical subway work Analysis on ground settlement method and system are maximized based on information Download PDF

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CN108629123A
CN108629123A CN201810433831.6A CN201810433831A CN108629123A CN 108629123 A CN108629123 A CN 108629123A CN 201810433831 A CN201810433831 A CN 201810433831A CN 108629123 A CN108629123 A CN 108629123A
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maximum
mesh
information
monitoring
ground settlement
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李炜明
柳雨叶
蔡利
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Wuhan Polytechnic University
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Abstract

Disclose a kind of subway work Analysis on ground settlement method and system maximizing theory based on information.This method may include:Step 1:Obtain the monitoring data of multiple monitoring points;Step 2:For each monitoring point, follow the steps below:Step 201:Scatter plot is drawn according to monitoring data, scatter plot is subjected to mesh generation by multigroup mesh parameter and a variety of mesh models, obtains multiple grid charts;Step 202:The distribution probability of scatterplot data point is calculated, and then calculates the association relationship of each mesh model, determines the maximum mutual information value of the mesh parameter;Step 203:Step 202 is repeated, the standardized maximum mutual information value of each group of mesh parameter is obtained;Step 204:Calculate maximum information coefficient;Step 3:Compare the maximum information coefficient of different monitoring points, analyzes ground settlement.The present invention can rapidly and accurately analyze the correlation in subway work progress between ground settlement and its influence factor by comparing the maximum information coefficient in different subregions.

Description

Theoretical subway work Analysis on ground settlement method and system are maximized based on information
Technical field
The present invention relates to subway work fields, and theoretical subway work is maximized based on information more particularly, to a kind of Analysis on ground settlement method and system.
Background technology
For convenience of the trip of people, subway station be often located at flow of the people big, building dense, heavy traffic central place Band, and the construction at station is related to deep-foundation pit engineering, it is contemplated that the safety at station itself and to surrounding enviroment in work progress It influences, the deformation in the process of construction of station need to be needed to pay close attention to.It is heavy for earth's surface caused during metro station construction The research of deformation mechanism is dropped, and common method has:Experience curve (formula) method, analytic solution, method for numerical simulation, artificial intelligence Method.
Subway station be located at mostly flow of the people big, building dense, heavy traffic central area, during construction It need to consider the building safety at station itself and its influence to surrounding enviroment, be related to deep-foundation pit engineering.Therefore, station need to be built If foundation deformation situation in the process is paid close attention to.
Research for ground settlement deformation mechanism caused during metro station construction, common method have:Through Test curve (formula) method, analytic solution, method for numerical simulation, artificial intelligence approach.Wherein, experience curve (formula) method is often Statistical analysis is subject to a large amount of engineering monitoring data, obtains ground settlement deformation mechanism, but in different method for protecting support, branch When protecting intensity, complicated excavation condition and soil body condition, settlement prediction value and the actual value of empirical analysis method have bigger Difference.Analytic solutions rule is to propose to calculate that the foundation pit periphery soil body is vertical and the fitting of transversely deforming is public based on complementary error function Formula, and formulae results are compared with measured data, obtains ground settlement deformation mechanism, but its calculation amount comparatively compared with It is small, settlement prediction can only be made in simple cases, need to carry out various simplified hypothesis to Practical Project.Numerical simulation Method can more fully analyze the ground settlement variation machine in the work progress of subway station by simulating practice of construction environment Reason, but its calculation amount is too big, and less factor can only be considered when being studied.Common intelligent algorithm mainly has hereditary calculation Method, evolution algorithm, ant group algorithm, particle cluster algorithm, neural network algorithm, annealing algorithm etc., in the research of foundation pit deformation problem In, it is in the majority with neural network algorithm, disadvantage is that artificial neural network is a kind of secret operation, input pair can not be understood Quantitative relationship as between.Therefore, it is necessary to develop a kind of subway work Analysis on ground settlement maximizing theory based on information Method and system.
The information for being disclosed in background of invention part is merely intended to deepen the reason of the general background technology to the present invention Solution, and it is known to those skilled in the art existing to be not construed as recognizing or imply that the information is constituted in any form Technology.
Invention content
The present invention proposes a kind of subway work Analysis on ground settlement method and system maximizing theory based on information, By comparing the maximum information coefficient in different subregions, it is heavy can quickly and accurately to analyze earth's surface in the work progress of subway station Drop and the correlation between its influence factor, and the step of enormously simplifying analysed for relevance mechanism, make processing largely monitor number According to efficiency be significantly improved, have great meaning in terms of correlative factor is to the mechanism study of subway construction ground table settlement influence Justice.
According to an aspect of the invention, it is proposed that a kind of maximizing theoretical subway work Analysis on ground settlement based on information Method.The method may include:Step 1:Obtain same time period, multiple monitoring points with foundation pit distance not etc. monitoring number According to;Step 2:For each monitoring point, follow the steps below:Step 201:Scatterplot is drawn according to the monitoring data of monitoring point The scatter plot is carried out mesh generation by figure by multigroup mesh parameter respectively, and every group of mesh parameter corresponds to a variety of mesh models, And then obtain multiple grid charts;Step 202:For the grid chart of each mesh model of same mesh parameter, scatterplot is calculated The distribution probability of data point, and then the association relationship of each mesh model is calculated, determine the maximum mutual information of the mesh parameter Value;Step 203:Step 202 is repeated, the maximum mutual information value of each group of mesh parameter is obtained, is standardized calculating, is obtained every The standardized maximum mutual information value of one group of mesh parameter;Step 204:Mutually according to the standardized maximum of each group of mesh parameter The value of information calculates maximum information coefficient;Step 3:The maximum information coefficient for comparing different monitoring points, according to the maximum information system The maximum monitoring point of number, analyzes ground settlement.
Preferably, the distribution probability of the scatterplot data point is:
Wherein, P (Aij) indicate scatterplot data point in grid AijDistribution probability, mijIt indicates in grid AijInterior scatterplot number The quantity at strong point, n are the data point sum of monitoring data.
Preferably, the association relationship is:
Wherein, I (D |G) indicate that association relationship, D indicate that monitoring data set, G indicate that mesh model, x, y are joined for grid Number, x=y, xy indicate the number of grid of grid chart.
Preferably, the standardized maximum mutual information value is:
Wherein, M (D)x,yIndicate standardized maximum mutual information value.
Preferably, the maximum information coefficient is:
Wherein, MIC (D) is maximum information coefficient.
According to another aspect of the invention, it is proposed that a kind of maximizing theoretical subway work ground settlement point based on information Analysis system is stored thereon with computer program, wherein following steps are realized when described program is executed by processor:Step 1:It obtains Take same time period, the monitoring data of multiple monitoring points with foundation pit distance not etc.;Step 2:For each monitoring point, carry out Following steps:Step 201:Scatter plot is drawn according to the monitoring data of monitoring point, the scatter plot is passed through into multigroup grid respectively Parameter carries out mesh generation, and every group of mesh parameter corresponds to a variety of mesh models, and then obtains multiple grid charts;Step 202:For The grid chart of each mesh model of same mesh parameter, calculates the distribution probability of scatterplot data point, and then calculates each The association relationship of mesh model determines the maximum mutual information value of the mesh parameter;Step 203:Step 202 is repeated, is obtained each The maximum mutual information value of group mesh parameter, is standardized calculating, obtains the standardized maximum mutual trust of each group of mesh parameter Breath value;Step 204:According to the standardized maximum mutual information value of each group of mesh parameter, maximum information coefficient is calculated;Step 3: The maximum information coefficient for comparing different monitoring points analyzes ground settlement according to the maximum monitoring point of maximum information coefficient.
Preferably, the distribution probability of the scatterplot data point is:
Wherein, P (Aij) indicate scatterplot data point in grid AijDistribution probability, mijIt indicates in grid AijInterior scatterplot number The quantity at strong point, n are the data point sum of monitoring data.
Preferably, the association relationship is:
Wherein, I (D |G) indicate that association relationship, D indicate that monitoring data set, G indicate that mesh model, x, y are joined for grid Number, x=y, xy indicate the number of grid of grid chart.
Preferably, the standardized maximum mutual information value is:
Wherein, M (D)x,yIndicate standardized maximum mutual information value.
Preferably, the maximum information coefficient is:
Wherein, MIC (D) is maximum information coefficient.
The present invention has other characteristics and advantages, these characteristics and advantages are from the attached drawing and subsequent tool being incorporated herein It will be apparent, or will carry out in the drawings and the subsequent detailed description incorporated herein in body embodiment Statement in detail, the drawings and the detailed description together serve to explain specific principles of the invention.
Description of the drawings
Exemplary embodiment of the present is described in more detail in conjunction with the accompanying drawings, of the invention is above-mentioned and other Purpose, feature and advantage will be apparent, wherein in exemplary embodiments of the present invention, identical reference label is usual Represent same parts.
Fig. 1 shows the grid chart of the different mesh models of same mesh parameter according to an embodiment of the invention.
Fig. 2 shows a kind of grid charts of mesh model according to an embodiment of the invention.
Fig. 3 shows the grid chart of the different mesh models of same mesh parameter according to fig. 2.
Specific implementation mode
The present invention is more fully described below with reference to accompanying drawings.Although showing the preferred embodiment of the present invention in attached drawing, However, it is to be appreciated that may be realized in various forms the present invention without should be limited by embodiments set forth here.On the contrary, providing These embodiments are of the invention more thorough and complete in order to make, and can will fully convey the scope of the invention to ability The technical staff in domain.
In this embodiment, according to the present invention that theoretical subway work Analysis on ground settlement method is maximized based on information May include:Step 1:Obtain same time period, the monitoring data of multiple monitoring points with foundation pit distance not etc.;Step 2:For Each monitoring point, follows the steps below:Step 201:Scatter plot is drawn according to the monitoring data of monitoring point, scatter plot is distinguished Mesh generation is carried out by multigroup mesh parameter, every group of mesh parameter corresponds to a variety of mesh models, and then obtains multiple grid charts; Step 202:For the grid chart of each mesh model of same mesh parameter, the distribution probability of scatterplot data point is calculated, into And the association relationship of each mesh model is calculated, determine the maximum mutual information value of the mesh parameter;Step 203:Repeat step 202, the maximum mutual information value of each group of mesh parameter is obtained, calculating is standardized, obtains the standard of each group of mesh parameter The maximum mutual information value of change;Step 204:According to the standardized maximum mutual information value of each group of mesh parameter, maximum letter is calculated Cease coefficient;Step 3:The maximum information coefficient for comparing different monitoring points, according to the maximum monitoring point of maximum information coefficient, analytically Table settles.
In one example, the distribution probability of scatterplot data point is:
Wherein, P (Aij) indicate scatterplot data point in grid AijDistribution probability, mijIt indicates in grid AijInterior scatterplot number The quantity at strong point, n are the data point sum of monitoring data.
In one example, association relationship is:
Wherein, I (D |G) indicate that association relationship, D indicate that monitoring data set, G indicate that mesh model, x, y are joined for grid Number, x=y, xy indicate the number of grid of grid chart.
In one example, standardized maximum mutual information value is:
Wherein, M (D)x,yIndicate standardized maximum mutual information value.
In one example, maximum information coefficient is:
Wherein, MIC (D) is maximum information coefficient.
Specifically, maximizing theoretical subway work Analysis on ground settlement method based on information may include:
Step 1:Obtain same time period, the monitoring data of multiple monitoring points with foundation pit distance not etc..
Step 2:For each monitoring point, follow the steps below:
Step 201:Monitoring data are chosen in conjunction with construction operating mode, station flat shape, point position, by one group of subway Stand construction when same period, different measuring points surface subsidence monitoring data be depicted as scatter plot, scatter plot is passed through 2 respectively2、 32、……、x2A mesh generation, each mesh parameter corresponds to a variety of mesh models, and then obtains multiple grid charts, wherein x2< n0.6, x is mesh parameter, and n is the data point sum of monitoring data, and the selection of mesh parameter is very crucial, even if too right greatly Nonzero value is also will produce in random data, because each data point has the unit of itself, too small, the model being arranged is very few.
Step 202:Different mesh models is corresponding with different association relationships, for each net of same mesh parameter The grid chart of lattice pattern, the distribution probability of scatterplot data point is calculated according to formula (1), and then calculates each according to formula (2) The association relationship of mesh model determines the maximum mutual information value of the mesh parameter.
Step 203:Step 202 is repeated, the maximum mutual information value of each group of mesh parameter is obtained, is carried out according to formula (3) Standardized calculation obtains the standardized maximum mutual information value of each group of mesh parameter, is standardized by lgmin { x, y } It can guarantee that the maximum mutual information value corresponding to different mesh parameters can be compared to each other, also can guarantee almost all of noiseless function Can obtain it is satisfied as a result, and the element in eigenmatrix all within the scope of 0-1.
Step 204:According to the standardized maximum mutual information value of each group of mesh parameter, calculated according to formula (4) maximum Information coefficient.
Step 3:Compare same time period, multiple monitoring points with foundation pit distance not etc. maximum information coefficient, obtain most The big maximum monitoring point of information coefficient can obtain ground according to the maximum monitoring point of maximum information coefficient away from the distance for excavating boundary Table sedimentation is most strong away from the soil surface settlement correlation that boundary is the distance is excavated;It is advised simultaneously according to maximum information index variation Rule obtains ground settlement correlation power changing rule.
The present invention can quickly and accurately analyze subway station and apply by comparing the maximum information coefficient in different subregions Correlation during work between ground settlement and its influence factor, and the step of enormously simplifying analysed for relevance mechanism, make The efficiency for handling a large amount of monitoring data is significantly improved, in correlative factor to the mechanism study of subway construction ground table settlement influence Aspect is of great importance.
Using example
A concrete application example is given below in the scheme and its effect of the embodiment of the present invention for ease of understanding.This field It should be understood to the one skilled in the art that the example is only for the purposes of understanding the present invention, any detail is not intended to be limited in any way The system present invention.
Maximizing theoretical subway work Analysis on ground settlement method based on information may include:
Step 1:Obtain same time period, the monitoring data of multiple monitoring points with foundation pit distance not etc..
Step 2:For each monitoring point, follow the steps below:
Step 201:Monitoring data are chosen in conjunction with construction operating mode, station flat shape, point position, by one group of subway Stand construction when same period, different measuring points surface subsidence monitoring data be depicted as scatter plot, scatter plot is passed through 2 respectively2 A mesh generation, each mesh parameter correspond to a variety of mesh models, as shown in Figure 1, obtaining multiple grid charts in turn, wherein no Same line style indicates different mesh models.
Step 202:The distribution probability that scatterplot data point is calculated according to formula (1), as shown in Fig. 2, in turn according to formula (2) The association relationship of each mesh model is calculated, as shown in figure 3, determining the maximum mutual information value of the mesh parameter.
Step 203:Step 202 is repeated, the maximum mutual information value of each group of mesh parameter is obtained, is carried out according to formula (3) Standardized calculation obtains the standardized maximum mutual information value of each group of mesh parameter.
Step 204:According to the standardized maximum mutual information value of each group of mesh parameter, calculated according to formula (4) maximum Information coefficient.
Step 3:Compare same time period, multiple monitoring points with foundation pit distance not etc. maximum information coefficient, obtain most The big maximum monitoring point of information coefficient can obtain ground according to the maximum monitoring point of maximum information coefficient away from the distance for excavating boundary Table sedimentation is most strong away from the soil surface settlement correlation that boundary is the distance is excavated;It is advised simultaneously according to maximum information index variation Rule obtains ground settlement correlation power changing rule.
In conclusion the present invention can be analyzed quickly and accurately by comparing the maximum information coefficient in different subregions Correlation during metro station construction between ground settlement and its influence factor, and enormously simplify analysed for relevance mechanism The step of, so that the efficiency of a large amount of monitoring data of processing is significantly improved, in correlative factor to subway construction ground table settlement influence Mechanism study in terms of be of great importance.
It will be understood by those skilled in the art that above to the purpose of the description of the embodiment of the present invention only for illustratively saying The advantageous effect of bright the embodiment of the present invention is not intended to limit embodiments of the invention to given any example.
According to another aspect of the invention, it is proposed that a kind of maximizing theoretical subway work ground settlement point based on information Analysis system is stored thereon with computer program, wherein following steps are realized when described program is executed by processor:Step 1:It obtains Take same time period, the monitoring data of multiple monitoring points with foundation pit distance not etc.;Step 2:For each monitoring point, carry out Following steps:Step 201:Scatter plot is drawn according to the monitoring data of monitoring point, scatter plot is passed through into multigroup mesh parameter respectively Mesh generation is carried out, every group of mesh parameter corresponds to a variety of mesh models, and then obtains multiple grid charts;Step 202:For identical The grid chart of each mesh model of mesh parameter, calculates the distribution probability of scatterplot data point, and then calculates each grid The association relationship of pattern determines the maximum mutual information value of the mesh parameter;Step 203:Step 202 is repeated, each networking is obtained The maximum mutual information value of lattice parameter, is standardized calculating, obtains the standardized maximum mutual information value of each group of mesh parameter; Step 204:According to the standardized maximum mutual information value of each group of mesh parameter, maximum information coefficient is calculated;Step 3:Compare The maximum information coefficient of different monitoring points analyzes ground settlement according to the maximum monitoring point of maximum information coefficient.
In one example, the distribution probability of scatterplot data point is:
Wherein, P (Aij) indicate scatterplot data point in grid AijDistribution probability, mijIt indicates in grid AijInterior scatterplot number The quantity at strong point, n are the data point sum of monitoring data.
In one example, association relationship is:
Wherein, I (D |G) indicate that association relationship, D indicate that monitoring data set, G indicate that mesh model, x, y are joined for grid Number, x=y, xy indicate the number of grid of grid chart.
In one example, standardized maximum mutual information value is:
Wherein, M (D)x,yIndicate standardized maximum mutual information value.
In one example, maximum information coefficient is:
Wherein, MIC (D) is maximum information coefficient.
This system can quickly and accurately analyze subway station and apply by comparing the maximum information coefficient in different subregions Correlation during work between ground settlement and its influence factor, and the step of enormously simplifying analysed for relevance mechanism, make The efficiency for handling a large amount of monitoring data is significantly improved, in correlative factor to the mechanism study of subway construction ground table settlement influence Aspect is of great importance.
Various embodiments of the present invention are described above, above description is exemplary, and non-exclusive, and It is not limited to disclosed each embodiment.Without departing from the scope and spirit of illustrated each embodiment, for this skill Many modifications and changes will be apparent from for the those of ordinary skill in art field.

Claims (10)

1. a kind of subway work Analysis on ground settlement method maximizing theory based on information, including:
Step 1:Obtain same time period, the monitoring data of multiple monitoring points with foundation pit distance not etc.;
Step 2:For each monitoring point, follow the steps below:
Step 201:According to the monitoring data of monitoring point draw scatter plot, by the scatter plot respectively by multigroup mesh parameter into Row mesh generation, every group of mesh parameter corresponds to a variety of mesh models, and then obtains multiple grid charts;
Step 202:For the grid chart of each mesh model of same mesh parameter, the distribution for calculating scatterplot data point is general Rate, and then the association relationship of each mesh model is calculated, determine the maximum mutual information value of the mesh parameter;
Step 203:Step 202 is repeated, the maximum mutual information value of each group of mesh parameter is obtained, is standardized calculating, is obtained The standardized maximum mutual information value of each group of mesh parameter;
Step 204:According to the standardized maximum mutual information value of each group of mesh parameter, maximum information coefficient is calculated;
Step 3:The maximum information coefficient for comparing different monitoring points, according to the maximum monitoring point of maximum information coefficient, analysis Ground settlement.
2. according to claim 1 maximize theoretical subway work Analysis on ground settlement method based on information, wherein institute The distribution probability for stating scatterplot data point is:
Wherein, P (Aij) indicate scatterplot data point in grid AijDistribution probability, mijIt indicates in grid AijInterior scatterplot data point Quantity, n be monitoring data data point sum.
3. according to claim 2 maximize theoretical subway work Analysis on ground settlement method based on information, wherein institute Stating association relationship is:
Wherein, I (D |G) indicate that association relationship, D indicate that monitoring data set, G indicate that mesh model, x, y are mesh parameter, x= Y, xy indicate the number of grid of grid chart.
4. according to claim 3 maximize theoretical subway work Analysis on ground settlement method based on information, wherein institute Stating standardized maximum mutual information value is:
Wherein, M (D)x,yIndicate standardized maximum mutual information value.
5. according to claim 4 maximize theoretical subway work Analysis on ground settlement method based on information, wherein institute Stating maximum information coefficient is:
Wherein, MIC (D) is maximum information coefficient.
6. a kind of maximizing theoretical subway work Analysis on ground settlement system based on information, it is stored thereon with computer program, Wherein, following steps are realized when described program is executed by processor:
Step 1:Obtain same time period, the monitoring data of multiple monitoring points with foundation pit distance not etc.;
Step 2:For each monitoring point, follow the steps below:
Step 201:According to the monitoring data of monitoring point draw scatter plot, by the scatter plot respectively by multigroup mesh parameter into Row mesh generation, every group of mesh parameter corresponds to a variety of mesh models, and then obtains multiple grid charts;
Step 202:For the grid chart of each mesh model of same mesh parameter, the distribution for calculating scatterplot data point is general Rate, and then the association relationship of each mesh model is calculated, determine the maximum mutual information value of the mesh parameter;
Step 203:Step 202 is repeated, the maximum mutual information value of each group of mesh parameter is obtained, is standardized calculating, is obtained The standardized maximum mutual information value of each group of mesh parameter;
Step 204:According to the standardized maximum mutual information value of each group of mesh parameter, maximum information coefficient is calculated;
Step 3:The maximum information coefficient for comparing different monitoring points, according to the maximum monitoring point of maximum information coefficient, analysis Ground settlement.
7. according to claim 6 maximize theoretical subway work Analysis on ground settlement system based on information, wherein institute The distribution probability for stating scatterplot data point is:
Wherein, P (Aij) indicate scatterplot data point in grid AijDistribution probability, mijIt indicates in grid AijInterior scatterplot data point Quantity, n be monitoring data data point sum.
8. according to claim 7 maximize theoretical subway work Analysis on ground settlement system based on information, wherein institute Stating association relationship is:
Wherein, I (D |G) indicate that association relationship, D indicate that monitoring data set, G indicate that mesh model, x, y are mesh parameter, x= Y, xy indicate the number of grid of grid chart.
9. according to claim 8 maximize theoretical subway work Analysis on ground settlement system based on information, wherein institute Stating standardized maximum mutual information value is:
Wherein, M (D)x,yIndicate standardized maximum mutual information value.
10. according to claim 9 maximize theoretical subway work Analysis on ground settlement system based on information, wherein The maximum information coefficient is:
Wherein, MIC (D) is maximum information coefficient.
CN201810433831.6A 2018-05-08 2018-05-08 Theoretical subway work Analysis on ground settlement method and system are maximized based on information Pending CN108629123A (en)

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