Multi-scale toughness evaluation method and device for urban underground space, terminal and medium

Abstract

The invention discloses a multi-scale toughness evaluation method and device for an urban underground space, a terminal and a medium. The method comprises the following steps: determining index data of each node in an urban underground space network according to underground space information; determining a node toughness evaluation result of each node according to the index data of each node, and determining a failure node according to the node toughness evaluation result; determining a plurality of node repairing schemes according to each failure node; and respectively calculating comprehensive toughness evaluation results of the urban underground space network when each node repair scheme is adopted, and selecting the node repair scheme as a target node repair scheme according to each comprehensive toughness evaluation result. According to the method, toughness evaluation is performed on the nodes and the urban underground space network according to different indexes, and the node repair scheme is formulated and selected according to the toughness evaluation result, so that the problem of how to perform toughness evaluation on the urban underground space network after the urban underground space network is damaged is solved; and a repair scheme is made for the nodes according to the toughness evaluation result.

Description

Technical Field

[0001] The present invention relates to the field of urban resilience assessment, and in particular to a multi-scale resilience assessment method, device, terminal and medium for urban underground space. Background Art

[0002] The urban underground space network in the city is closely related to the lives of urban residents. The urban underground space network is a comprehensive three-dimensional space system, including subway networks, underground commercial streets, underground comprehensive pipeline corridors, etc. These facilities are planned and connected to form an organic whole that is interconnected and interacts with each other.

[0003] Natural disasters or urban expansion and construction may damage nodes in the urban underground space network (such as subway stations, underground shopping malls, etc.), affecting the lives and safety of urban residents. Therefore, in order to provide basic guarantees for the normal operation of the city and the normal production and life of urban residents, it is necessary to accurately assess the resilience of the urban underground space after the urban underground space network is damaged, so as to formulate targeted repair plans for the nodes in the underground space network and reduce the risks and inconveniences caused by disasters or urban expansion and construction. Summary of the invention

[0004] The technical problem to be solved by the present invention is that, in view of the above-mentioned defects of the prior art, a multi-scale resilience assessment method, device, terminal and medium for urban underground space are provided, aiming to solve the problem of how to conduct resilience assessment on the urban underground space network after the urban underground space network is damaged, so as to formulate repair plans for the nodes in the urban underground space network based on the resilience assessment.

[0005] The technical solution adopted by the present invention to solve the problem is as follows: In a first aspect, an embodiment of the present invention provides a multi-scale resilience assessment method for urban underground space, wherein the method comprises: Acquire underground space information corresponding to the urban underground space network, and determine indicator data corresponding to each indicator of each node in the urban underground space network according to the underground space information; Determine the node resilience assessment result of each node according to the indicator data corresponding to each node; Determine a number of failed nodes in the urban underground space network according to the resilience assessment results of each of the nodes; Determine several node repair solutions according to each of the failed nodes; The comprehensive resilience change curves of the urban underground space network when each of the node repair schemes is adopted are respectively drawn, and the node repair scheme is selected as the target node repair scheme according to each of the comprehensive resilience change curves.

[0006] In one implementation method, determining a node resilience evaluation result of a node according to indicator data corresponding to the node includes: Obtaining a damage critical value corresponding to the damage level of each indicator, and determining the overall perceived superiority of the indicator data relative to each damage critical value according to each damage critical value and the indicator data corresponding to the node; The node toughness assessment result of the node is determined based on the overall perceived superiority of the indicator data relative to each of the damage thresholds.

[0007] In an implementation method, determining the overall perceived superiority of the indicator data relative to each of the damage thresholds according to each of the damage thresholds and the indicator data corresponding to the node includes: Determine the profit and loss value matrix corresponding to each indicator according to the damage critical value corresponding to each indicator and the indicator data; Obtaining the combined weights corresponding to the indicators, and determining the individual perceived superiority matrix according to the combined weights and the benefit-loss value matrices; The overall perceived superiority of the indicator data relative to each of the damage thresholds is determined according to the individual perceived superiority matrix.

[0008] In one implementation method, determining a profit-loss value matrix corresponding to each indicator according to the damage critical value corresponding to each indicator and the indicator data respectively includes: Determine the original data matrix according to the damage critical value corresponding to each indicator and the indicator data; The difference between the data corresponding to the same indicator in the original data matrix is ​​calculated, and the profit and loss value matrix corresponding to the indicator is determined according to each of the differences.

[0009] In one implementation method, a method for obtaining the combined weight corresponding to each indicator includes: Determine the subjective weight corresponding to each indicator based on the hierarchical analysis method; Determine the objective weight corresponding to each indicator based on the entropy weight method; Game theory is used to determine the combined weight corresponding to each indicator based on the subjective weight and the objective weight corresponding to each indicator.

[0010] In one implementation method, the comprehensive resilience change curves of the urban underground space network when each of the node repair schemes is adopted are drawn respectively, including: Calculate the comprehensive resilience assessment results of the urban underground space network corresponding to each repair stage when the node repair scheme is adopted; The comprehensive toughness change curve is drawn according to the comprehensive toughness evaluation results corresponding to each repair stage.

[0011] In one implementation method, the method for calculating the comprehensive toughness evaluation result includes: Calculate the average network efficiency, structural entropy and betweenness of the urban underground space network respectively; The coefficient of variation method is used to determine the weights corresponding to the average network efficiency, the structural entropy and the betweenness respectively; The comprehensive resilience evaluation result is determined according to the network average efficiency, the structural entropy, the betweenness and each weight.

[0012] In a second aspect, an embodiment of the present invention further provides a multi-scale resilience assessment device for an urban underground space, wherein the multi-scale resilience assessment device for an urban underground space comprises: A data acquisition module, used to acquire underground space information corresponding to the urban underground space network, and determine the indicator data corresponding to each indicator of each node in the urban underground space network according to the underground space information; A node resilience assessment module is used to determine the node resilience assessment result of each node according to the indicator data corresponding to each node; A failure node determination module, used to determine a number of failure nodes in the urban underground space network according to the resilience assessment results of each node; A repair scheme building module, used to determine a number of node repair schemes according to each of the failed nodes; The repair scheme determination module is used to draw the comprehensive resilience change curves of the urban underground space network when each of the node repair schemes is adopted, and to select a node repair scheme as a target node repair scheme based on the comprehensive resilience evaluation results.

[0013] In a third aspect, an embodiment of the present invention further provides a terminal comprising a memory and one or more processors; the memory stores one or more programs; the program comprises instructions for executing a multi-scale resilience assessment method for an urban underground space as described in any one of the above; and the processor is used to execute the program.

[0014] In a fourth aspect, an embodiment of the present invention further provides a computer-readable storage medium on which a plurality of instructions are stored, wherein the instructions are suitable for being loaded and executed by a processor to implement any of the above-mentioned multi-scale resilience assessment methods for urban underground spaces.

[0015] Beneficial effects of the present invention: The embodiments of the present invention determine the index data of each node in the urban underground space network according to the underground space information; determine the node resilience evaluation results of each node according to the index data of each node, and determine the failed nodes according to the node resilience evaluation results; determine several node repair schemes according to each failed node; respectively calculate the comprehensive resilience evaluation results of the urban underground space network when each node repair scheme is adopted, and select the node repair scheme as the target node repair scheme according to each comprehensive resilience evaluation result. The present invention performs resilience evaluation on nodes and urban underground space networks according to different indicators, and formulates and selects node repair schemes according to the resilience evaluation results, which solves the problem of how to perform resilience evaluation on the urban underground space network after the urban underground space network is damaged, and formulate repair schemes for nodes according to the resilience evaluation results. BRIEF DESCRIPTION OF THE DRAWINGS

[0016] In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings required for use in the embodiments or the description of the prior art will be briefly introduced below. Obviously, the drawings described below are only some embodiments recorded in the present invention. For ordinary technicians in this field, other drawings can be obtained based on these drawings without paying creative work.

[0017] Figure 1 It is a flow chart of a multi-scale resilience assessment method for urban underground space provided in an embodiment of the present invention.

[0018] Figure 2 It is a flow chart of an implementation method of a multi-scale resilience assessment method for urban underground space provided in an embodiment of the present invention.

[0019] Figure 3 It is an example diagram of a composite performance curve provided by an embodiment of the present invention.

[0020] Figure 4 It is a relative position relationship diagram between the foundation pit and the interval tunnel provided by an embodiment of the present invention.

[0021] Figure 5 It is an evolution analysis diagram of multi-index compliance performance provided by an embodiment of the present invention.

[0022] Figure 6 It is a data matrix diagram provided by an embodiment of the present invention.

[0023] Figure 7 This is a diagram of betweenness calculation results provided by an embodiment of the present invention.

[0024] Figure 8 It is a diagram of performance calculation results provided by an embodiment of the present invention.

[0025] Fig. 9It is a comprehensive toughness change curve diagram of each node repair solution provided in an embodiment of the present invention.

[0026] Fig.10 It is a schematic diagram of the internal modules of the multi-scale resilience assessment device for urban underground space provided in an embodiment of the present invention.

[0027] Fig.11 It is a principle block diagram of a terminal provided by an embodiment of the present invention. DETAILED DESCRIPTION

[0028] The present invention discloses a multi-scale resilience assessment method, device, terminal and medium for urban underground space. In order to make the purpose, technical solution and effect of the present invention clearer and more specific, the present invention is further described in detail with reference to the accompanying drawings and examples. It should be understood that the specific embodiments described herein are only used to explain the present invention and are not used to limit the present invention.

[0029] It will be understood by those skilled in the art that, unless expressly stated, the singular forms "one", "said", and "the" used herein may also include plural forms. It should be further understood that the term "comprising" used in the specification of the present invention refers to the presence of the features, integers, steps, operations, elements and / or components, but does not exclude the presence or addition of one or more other features, integers, steps, operations, elements, components and / or groups thereof. It should be understood that when we refer to an element as being "connected" or "coupled" to another element, it may be directly connected or coupled to the other element, or there may be intermediate elements. In addition, the "connection" or "coupling" used herein may include wireless connection or wireless coupling. The term "and / or" used herein includes all or any unit and all combinations of one or more associated listed items.

[0030] It will be understood by those skilled in the art that, unless otherwise defined, all terms (including technical and scientific terms) used herein have the same meaning as generally understood by those skilled in the art in the art to which the present invention belongs. It should also be understood that terms such as those defined in general dictionaries should be understood to have meanings consistent with the meanings in the context of the prior art, and will not be interpreted with idealized or overly formal meanings unless specifically defined as herein.

[0031] In view of the above problems, the present invention provides a multi-scale resilience assessment method for urban underground space, the method determines the index data of each node in the urban underground space network according to the underground space information; determines the node resilience assessment result of each node according to the index data of each node, determines the failed node according to the node resilience assessment result; determines several node repair schemes according to each failed node; calculates the comprehensive resilience assessment result of the urban underground space network when each node repair scheme is adopted, and selects the node repair scheme as the target node repair scheme according to each comprehensive resilience assessment result. The present invention performs resilience assessment on nodes and urban underground space networks according to different indicators, and formulates and selects node repair schemes according to the resilience assessment results, which solves the problem of how to perform resilience assessment on the urban underground space network after the urban underground space network is damaged, and formulates repair schemes for nodes according to the resilience assessment results.

[0032] Exemplary methods: like Figure 1 As shown, the method comprises the following steps: Step S100: Obtain underground space information corresponding to the urban underground space network, and determine indicator data corresponding to each indicator of each node in the urban underground space network according to the underground space information.

[0033] When a disaster occurs or urban construction is in progress, in order to evaluate the resilience of nodes (edges) in the urban underground space network and determine the node resilience evaluation results of the nodes, it is necessary to obtain the underground space information corresponding to the urban underground space network, and quickly and accurately obtain the indicator data required for node resilience evaluation based on the underground space information. Underground space information includes information such as disaster type and existing structural strength. Disaster types include: construction disturbance, earthquake action, etc.

[0034] like Figure 2 As shown, in order to accurately evaluate the toughness of each node in the underground space network, this embodiment conveniently selects indicators in geometry (spatial distribution / layout), deformation, internal force, etc., and establishes a toughness index system. The toughness index system includes several first-level indicators, and each first-level indicator includes several second-level indicators. For example, the toughness index system includes a first-level indicator: existing underground structure indicators, and the existing underground structure indicators include second-level indicators: cover-span ratio, type of existing underground structure, health status of existing underground structure, degree of proximity, tunnel vertical displacement, tunnel horizontal displacement and tunnel radial convergence, etc.

[0035] Step S200: Determine the node resilience assessment result of each node according to the indicator data corresponding to each node.

[0036] Simply put, the node damage status is judged according to the quality of the indicator data corresponding to the node, and the node resilience assessment result is obtained based on the node damage status.

[0037] In one implementation, determining a node resilience evaluation result of a node according to indicator data corresponding to the node includes: Step S201, obtain the damage critical value corresponding to the damage level of each indicator, and determine the overall perceived superiority of the indicator data relative to each damage critical value according to each damage critical value and the indicator data corresponding to the node, specifically including: Step S2011, determine the benefit-loss value matrix corresponding to each indicator according to the damage critical value and the indicator data corresponding to each indicator; Step S2012, obtain the combination weight corresponding to each indicator, and determine the individual perceived superiority matrix according to each combination weight and each benefit-loss value matrix; Step S2013, determine the overall perceived superiority of the indicator data relative to each damage critical value according to the individual perceived superiority matrix.

[0038] In one implementation, step S2011, determining the profit-loss value matrix corresponding to each indicator based on the damage critical value corresponding to each indicator and the indicator data, includes: determining the original data matrix based on the damage critical value corresponding to each indicator and the indicator data; calculating the difference between the data corresponding to the same indicator in the original data matrix, and determining the profit-loss value matrix corresponding to the indicator based on each difference.

[0039] Specifically, according to the proposed toughness index system, the prediction results of each index can be divided into four states: no damage, low damage, medium damage and high damage. The superiority between the damage threshold of each known damage level reaches , it means no damage; similarly, Indicates low damage; if , it indicates moderate damage; when When , it indicates high damage. The indicator data and the damage critical value of each known damage level are combined into the original data matrix. As shown in Table 1, For indicator data, are the damage critical values ​​of different damage levels corresponding to each indicator, For each indicator, for index Critical value or indicator data corresponding to the damage level.

[0040] Table 1 Original data table

[0041] In order to facilitate subsequent calculations, this embodiment normalizes each element in the original data matrix to eliminate the influence of different dimensions on the calculation results.

[0042] , , in, for index The critical value or indicator data corresponding to the damage level, is the normalized data. It includes indicator data corresponding to positive indicators (i.e. profitability indicators) and indicator data corresponding to negative indicators (i.e. consumption indicators). It represents the normalized data of the indicator data corresponding to the positive indicator. Indicates the normalized data of the indicator data corresponding to the negative indicator.

[0043] According to the normalized original data matrix, each indicator Separate analysis was performed to compare the data between each injury level and calculate the relationship between the levels of indicators. The profit and loss value constitutes the indicator The profit and loss value matrix ,Right now , m is the number of damage levels, =1, 2, 3, ..., n , n Indicates the total number of indicators. Damage level Relative to the level of injury About indicators The value of the loss or gain. ≤0, about the index ,grade Relative to level is a loss; otherwise, the level Relative to level It is profitable.

[0044] in, , , Indicator The corresponding The data of the damage level, that is, the data of the first damage level in the normalized original data matrix Line The elements of the column, Indicator The corresponding The data of the damage level, that is, the data of the first damage level in the normalized original data matrix Line Elements of a column.

[0045] .

[0046] In one implementation, step S2012, obtaining the combined weights corresponding to the indicators, and determining the individual perceived superiority matrix according to the combined weights and the benefit-loss value matrices, includes: use Indicates the combined weights of the secondary indicators in the resilience index system. Used to indicate the resilience index system Secondary indicators, Indicates the weight corresponding to the first-level indicator in the resilience index system, A Indicates A First-level indicators, get the combined weights corresponding to each indicator: (1) Determine the subjective weight corresponding to each indicator based on the analytic hierarchy process ; The AHP method determines the subjective weight of each evaluation indicator through the subjective judgment of experts. According to expert experience, the greater the weight, the greater the impact of the evaluation indicator on security resilience. On the contrary, the smaller the impact.

[0047] (2) Determine the objective weights corresponding to each indicator based on the entropy weight method ; The entropy weight method can truly reflect the customer information of the problem and solve the error caused by human factors in the weight calculation process. Information entropy is used to measure the amount of useful information provided by the indicator. Therefore, the larger the information entropy, the greater the dispersion of the indicator in security resilience, and the smaller the corresponding entropy weight.

[0048] (3) Using game theory, the combined weight corresponding to each indicator is determined based on the subjective weight and the objective weight corresponding to each indicator.

[0049] Based on subjective weight and objective weight On the basis of the game theory, the idea is introduced to establish the combined weight model of game theory to achieve the optimal goal of combined weight. . Any linear combination of weight vectors is as follows: , in, and is the combination coefficient between each vector.

[0050] According to game theory, the optimal combination weight is obtained H It can be summarized as the optimal combination coefficient and After matrix operations and normalization, the results are as follows: , .

[0051] After obtaining the combined weights corresponding to each indicator, the individual perceived superiority matrix is ​​determined according to the combined weights corresponding to each indicator and the benefit-loss value matrix. is determined as follows: , Among them, the individual perceived superiority matrix of all indicators is The calculation of is as follows: , , , in, represents the loss decay coefficient, , For indicators The corresponding combination weights; Damage level Relative to the level of injury About indicators The value of the loss or gain, and is the positive individual perceived superiority and the negative individual perceived superiority, is the number of indicators with loss values, n is the total number of indicators.

[0052] In one implementation, step S2013, determining the overall perceived superiority of the indicator data relative to each of the damage thresholds according to the individual perceived superiority matrix, includes: Determine the damage level based on the individual perceived superiority matrix of the damage level Overall perceived superiority relative to all other impairment levels : , m is the number of columns of the individual perceived superiority matrix.

[0053] In the original data matrix, the indicator values ​​are also expressed in terms of damage level. Therefore, the damage level corresponding to the indicator data can be determined according to the individual perception superiority matrix Overall perceived superiority relative to each damage threshold.

[0054] Step S202: determining the node resilience assessment result of the node according to the overall perceived superiority of the indicator data relative to each of the damage thresholds.

[0055] Specifically, the damage level Overall perceived superiority relative to all other impairment levels Normalize to get ,according to The node damage status is judged according to the order of the overall perceived superiority of the indicator values ​​relative to the other damage levels, so that the node damage status is used as the node resilience evaluation result of the node.

[0056] .

[0057] The percentage of overall perceived superiority is expressed as the composite performance of the node, and the node damage status is judged according to the composite performance of the node.

[0058] This embodiment conducts a comprehensive toughness assessment of the node from the perspective of maximum damage. Q It is divided into four levels: Ⅰ. No damage; Ⅱ. Low damage; Ⅲ. Medium damage; Ⅳ. High damage. The no damage and low damage states are considered usable, while the medium damage and high damage states are considered failed. Table 2 shows the judgment range of each damage level.

[0059] Table 2 Judgment intervals for each damage level

[0060] Step S300: determining a number of failed nodes in the urban underground space network according to the resilience assessment results of each of the nodes.

[0061] Since the composite performance of nodes changes during disasters or construction, composite performance curves are drawn based on the composite performance of each time node to reflect the changes in node resilience assessment results, such as Figure 3 When the minimum value of the composite performance curve is in the medium damage or high damage interval, that is, the node toughness evaluation result of the time node corresponding to the minimum value is in the medium damage state or high damage state, the node is determined to be a failed node.

[0062] , in, Represents composite performance over time T The change function of is the minimum value of the composite performance curve.

[0063] Step S400: determining several node repair schemes according to each of the failed nodes.

[0064] There may be multiple failed nodes in the urban underground space network, and each failed node has a different impact on the resilience of the urban underground space network. Therefore, different repair orders for each failed node will result in different recovery speeds of the resilience of the underground space network. This embodiment sets several node repair schemes according to different repair orders of each failed node.

[0065] Step S500: Draw the comprehensive resilience change curve of the urban underground space network when each of the node repair schemes is adopted, and select the node repair scheme as the target node repair scheme according to each of the comprehensive resilience change curves.

[0066] In order to select the best repair plan from various repair plans, so as to quickly restore the resilience of the urban underground space network and reduce the impact of node failure on the lives and safety of urban residents, this embodiment draws the comprehensive resilience change curve of the urban underground space network when each node repair plan is adopted, and selects the best node repair plan from each node repair plan as the target node repair plan according to the change trend of each comprehensive resilience change curve.

[0067] In one implementation, the comprehensive resilience change curves of the urban underground space network when each of the node repair schemes is adopted are drawn respectively, including: Step S501, respectively calculating the comprehensive resilience assessment results of the urban underground space network corresponding to each repair stage when the node repair scheme is adopted; Step S502: Draw the comprehensive toughness change curve according to the comprehensive toughness evaluation results corresponding to each repair stage.

[0068] The repair phase can be the time corresponding to the node repair plan or the project completion phase in the node repair plan. In this embodiment, the repair phase is related to the number of failed nodes repaired. When one failed node is repaired, the repair phase is the first phase. If two failed nodes are repaired, the repair phase is the second phase.

[0069] In one implementation, the method for calculating the comprehensive toughness evaluation result includes: Step S5011, respectively calculating the network average efficiency, structural entropy and betweenness corresponding to the urban underground space network; Step S5012: using the coefficient of variation method to determine the weights corresponding to the average network efficiency, the structural entropy and the betweenness respectively; Step S5013: determining the comprehensive resilience evaluation result according to the network average efficiency, the structural entropy, the betweenness and the weights.

[0070] This embodiment selects network average efficiency, structural entropy and betweenness as structural indicators of urban underground space network resilience.

[0071] Network average efficiency. Network average efficiency is a characteristic parameter that measures the connectivity level of the urban underground space network. It is defined as the average value of the sum of the reciprocals of all the shortest paths in the urban underground space network. The calculation formula is: , in, For Node and nodes The distance between N is the total number of nodes.

[0072] (2) Structural entropy.

[0073] The more uneven the degree distribution of nodes in the urban underground space network is, the greater the structural entropy of the urban underground space network is. The calculation formula is: , in, The degree of any node in the urban underground space network is t probability.

[0074] The urban underground space network is moderately t The probability is: , in, The urban underground space network is moderately t The number of nodes.

[0075] (3) Betweenness.

[0076] The calculation of betweenness is as follows: , in, Representation Node s and t The shortest paths of The number of paths, Representation Node s and t The number of all shortest paths between nodes i Betweenness for: , The betweenness of the urban underground space network is obtained by the average betweenness of all nodes in the network.

[0077] After the network average efficiency, structural entropy and betweenness corresponding to the urban underground space network are solved, the coefficient of variation method is used to solve the weights corresponding to the network average efficiency, structural entropy and betweenness. In this embodiment, the coefficient of variation obtained based on the network average efficiency and the structural upper level betweenness is normalized and used as the weights corresponding to the network average efficiency, structural entropy and betweenness.

[0078] The method for solving the weight of each indicator based on the coefficient of variation method is as follows: Assume that there is m There are n Evaluation objects, X is the original data matrix, where For the The object's The original data matrix is ​​as follows: , Calculate the standard deviation of each indicator; , in, Indicates The standard deviation of the indicator, Indicates The average value of the indicators.

[0079] Calculate the coefficient of variation of each indicator; , The coefficient of variation of each indicator is normalized to obtain the weight of each indicator.

[0080] After obtaining the network average efficiency, structural entropy, and betweenness corresponding to the urban underground space network and the weights corresponding to the network average efficiency, structural entropy, and betweenness, the network average efficiency, structural entropy, and betweenness will be weighted according to each weight and added together to obtain the structural resilience function of the urban underground space network (structural entropy and betweenness are negative indicators, and the weights take a negative sign): , in, is the network structure resilience function, and the network structure resilience function value is the comprehensive resilience evaluation result; The average network efficiency is E , structural entropy H and betweenness B The weight of .

[0081] Embodiment 1: (1) Project overview.

[0082] A foundation pit project is planned to be built. The foundation form is pile foundation. The excavation depth of the foundation pit is 13.0m. The side lengths of the foundation pit are 195m and 175m respectively. The width of the foundation pit is 136m. The total perimeter of the foundation pit is about 680m. The foundation pit area is 27852m 2 The building foundation pit is 25m~30m away from the left line of the section of Metro Line 1. The vertical relationship between the foundation pit and the section tunnel is as follows: Figure 4 shown.

[0083] Rail Transit Line 1 runs east-west, with a total length of 25.739 kilometers. There are 24 stations along the line, all of which are underground stations. The right line of the section tunnel is 790.292 meters long, and the left line is 791.425 meters long. The left line includes a long chain of 1.133 meters. The section is constructed using the shield method, and the connecting channel is constructed using the mining method. There is one connecting channel and one pump station in the section, and the connecting channel and the pump room are built together. The section tunnel affected by the foundation pit is basically straight, and the center spacing of the tunnel is about 15.5 meters.

[0084] Exploration revealed that the maximum exploration depth of the site below the natural ground is 76.00m, which is composed of artificial fill, Quaternary sediments, and early Yanshanian albite biotite granite porphyry. According to the differences in soil (rock) characteristics and their physical and mechanical properties, it can be divided into 11 engineering geological layers, which can be further subdivided into 16 engineering geological sublayers.

[0085] Table 3 Parameters of soil physical and mechanical properties

[0086] Resilience index system. This embodiment proposes a resilience index system based on cross-matrix analysis, as shown in Table 4, which includes 7 indicators for existing underground structures.

[0087] Table 4 Resilience index system

[0088] (3) Combination weights of indicators in the resilience indicator system.

[0089] The first step is to determine the subjective weights based on the hierarchical analysis method and construct the first- and second-level indicator weight analysis matrix, as shown in Table 5.

[0090] Table 5 Weight analysis matrix of secondary indicators of existing underground structures

[0091] Construct a judgment matrix based on the importance of the evaluation indicators. The weights of other indicators except A1 to A4 are shown in Table 5, and the weights of secondary indicators are calculated, as shown in Table 6.

[0092] Table 6 Total weight table based on analytic hierarchy process

[0093] In the second step, according to the resilience index system and grade description in Table 4, the objective weight Z of the secondary index is obtained, as shown in Table 7.

[0094] Table 7 Simplified objective weight table of secondary indicators

[0095] The third step is to solve the combination coefficient and combination weight H . Combination weight H Expressed as The normalized result of the combination coefficient of the subjective vector and the objective vector is The vector values ​​of these weights are listed in Table 8.

[0096] Table 8 Summary of weights of primary and secondary indicators

[0097] (4) Composite performance calculation.

[0098] In order to analyze the deformation of the existing underground structure and the evolution of the composite performance of the underground space network under multiple indicators, this embodiment selects 9 working conditions according to the construction process of the new tunnel, as shown in Table 9.

[0099] Table 9 Composite performance results under various working conditions

[0100] Among them, T1 indicates the construction of the top beam of the wall and the first support; T2 indicates the excavation of the first layer of earth in the foundation pit to 2.43m; T3 indicates the excavation of the first layer of earth in the foundation pit to 5m; T4 indicates the construction of the waist beam and the second support; T5 indicates the excavation of the second layer of earth in the foundation pit to 7.91m; T6 indicates the excavation of the second layer of earth in the foundation pit to 9.45m; T7 indicates the construction of the waist beam and the third support; T8 indicates the excavation of the third layer of earth in the foundation pit to 11.92m; T9 indicates the excavation of the foundation pit to the bottom of the pit.

[0101] (5) Obtain the node resilience assessment results.

[0102] According to the data in Table 9, based on the combined weights of the indicators calculated in Table 8, the toughness assessment of the project is quantified to determine the node toughness assessment results of a foundation pit project. Figure 5 As shown, the horizontal axis is the time step (working condition), from T1 to T9 respectively represents the process of foundation pit excavation, and the vertical axis is the calculated composite performance.

[0103] The specific node resilience evaluation results R and classification are shown in Table 10: Table 10 Node resilience evaluation results

[0104] Embodiment 2: (1) Project overview.

[0105] The subway network map of a certain city in 2016 includes 6 lines, namely Line 1, Line 2, Line 3, Line 4, Line 5 and Line 11, with 132 nodes and 142 sections.

[0106] (2) Select an indicator system and determine indicator weights.

[0107] Select the indicator system: select network average efficiency, structural entropy and betweenness as structural indicators of subway network resilience.

[0108] Determine the indicator weights: Process the raw data and convert the graph into a matrix. Connected nodes are assigned 1 and failed nodes are assigned 0. Make a 132×132 matrix, such as Figure 6 As shown (because the table is too large, only part of it is shown); Calculate the betweenness and effectiveness (closeness) of each node, such as Figure 7 , Figure 8 As shown (because the table is too large, only part of it is shown).

[0109] The standard deviation of betweenness is: , in, is the value in the original data matrix, Indicates The average value of the indicators, the coefficient of variation of the betweenness is: .

[0110] The standard deviation of the efficacy is: , in, is the value in the original data matrix, Indicates The average value of the indicators, the coefficient of variation of the average network efficiency is: .

[0111] The degree of each node can be obtained from the subway line network diagram, and the structural entropy calculation of the subway network is as follows: , , , , , , The standard deviation of node degree is: .

[0112] in, is the degree of each node, Represents the average value of the degree of each node, and the coefficient of variation of the structural entropy is: .

[0113] Assume that the coefficient of variation of the average network efficiency, structural entropy and betweenness are expressed as , , , the coefficient of variation of the average network efficiency, structural entropy and betweenness is normalized, and the weights of each indicator are obtained as follows: , , .

[0114] From the above, we can see that the largest weight is the betweenness, which is 0.622765611, and the smallest weight is the average network efficiency, which is 0.147652583. The size of the weight reflects the size of the evaluation index's ability to distinguish between the evaluation objects.

[0115] By calculation, the network structure resilience function is: .

[0116] (3) Assume that nodes 13, 11, and 110 fail.

[0117] Assume that nodes 13, 11, and 110 fail and observe the changes in the comprehensive toughness evaluation results.

[0118] When all nodes (edges) work normally, the average network efficiency, structural entropy and betweenness are: , , , Calculated: .

[0119] Assume that after node 13, node 11, and node 110 fail, the average network efficiency, structural entropy, and betweenness are: , , , Can be obtained: .

[0120] Similarly, the average network efficiency, structural entropy and betweenness of each site after restoration are calculated. The results are shown in Table 11.

[0121] Table 11 Calculation results

[0122] (4) Draw the comprehensive toughness change curve, such as Fig. 9 shown.

[0123] (5) Determine the target node repair plan based on the comprehensive toughness change curve. Fig. 9 It can be seen that node 110-node 11-node 13 is the best node repair solution.

[0124] Based on the above embodiments, the present invention also provides a multi-scale resilience assessment device for urban underground space, such as Fig.10 As shown, the device comprises: The data acquisition module 01 is used to acquire underground space information corresponding to the urban underground space network, and determine the index data corresponding to each index of each node in the urban underground space network according to the underground space information; The node resilience assessment module 02 is used to determine the node resilience assessment result of each node according to the indicator data corresponding to each node; A failure node determination module 03 is used to determine a number of failure nodes in the urban underground space network according to the resilience evaluation results of each node; A repair scheme building module 04 is used to determine a number of node repair schemes according to each of the failed nodes; The repair scheme determination module 05 is used to draw the comprehensive resilience change curve of the urban underground space network when each of the node repair schemes is adopted, and select the node repair scheme as the target node repair scheme according to each of the comprehensive resilience change curves.

[0125] Based on the above embodiment, the present invention further provides a terminal, whose principle block diagram can be shown as follows: Fig.11As shown. The terminal includes a processor, a memory, a network interface, and a display screen connected via a system bus. Among them, the processor of the terminal is used to provide computing and control capabilities. The memory of the terminal includes a non-volatile storage medium and an internal memory. The non-volatile storage medium stores an operating system and a computer program. The internal memory provides an environment for the operation of the operating system and computer programs in the non-volatile storage medium. The network interface of the terminal is used to communicate with an external terminal through a network connection. When the computer program is executed by the processor, a multi-scale resilience assessment method for urban underground space is implemented. The display screen of the terminal can be a liquid crystal display or an electronic ink display.

[0126] Those skilled in the art will understand that Fig.11 The principle block diagram shown in the figure is only a block diagram of a partial structure related to the scheme of the present invention, and does not constitute a limitation on the terminal to which the scheme of the present invention is applied. The specific terminal may include more or fewer components than those shown in the figure, or combine certain components, or have a different arrangement of components.

[0127] In one implementation, the terminal has one or more programs stored in its memory and is configured to be executed by one or more processors. The one or more programs include instructions for performing a multi-scale resilience assessment method for urban underground space.

[0128] In summary, the present invention discloses a multi-scale resilience assessment method, device, terminal and medium for urban underground space. The method determines the index data of each node in the urban underground space network according to the underground space information; determines the node resilience assessment result of each node according to the index data of each node, determines the failed node according to the node resilience assessment result; determines several node repair schemes according to each failed node; calculates the comprehensive resilience assessment result of the urban underground space network when each node repair scheme is adopted, and selects the node repair scheme as the target node repair scheme according to each comprehensive resilience assessment result. The present invention performs resilience assessment on nodes and urban underground space networks according to different indicators, and formulates and selects node repair schemes according to the resilience assessment results, which solves the problem of how to perform resilience assessment on the urban underground space network after the urban underground space network is damaged, and formulates repair schemes for nodes according to the resilience assessment results.

[0129] It should be understood that the application of the present invention is not limited to the above examples. For ordinary technicians in this field, improvements or changes can be made based on the above description. All these improvements and changes should fall within the scope of protection of the claims attached to the present invention.

Claims

1. A multi-scale resilience assessment method for urban underground space, characterized in that: The method comprises: Acquire underground space information corresponding to the urban underground space network, and determine indicator data corresponding to each indicator of each node in the urban underground space network according to the underground space information; Determine the node resilience assessment result of each node according to the indicator data corresponding to each node; Determine a number of failed nodes in the urban underground space network according to the resilience assessment results of each of the nodes; Determine several node repair solutions according to each of the failed nodes; The comprehensive resilience change curves of the urban underground space network when each of the node repair schemes is adopted are respectively drawn, and the node repair scheme is selected as the target node repair scheme according to each of the comprehensive resilience change curves.

2. The multi-scale resilience assessment method for urban underground space according to claim 1 is characterized in that: The node resilience assessment result of the node is determined based on the indicator data corresponding to the node, including: Obtaining a damage critical value corresponding to the damage level of each indicator, and determining the overall perceived superiority of the indicator data relative to each damage critical value according to each damage critical value and the indicator data corresponding to the node; The node toughness assessment result of the node is determined based on the overall perceived superiority of the indicator data relative to each of the damage thresholds.

3. The multi-scale resilience assessment method for urban underground space according to claim 2 is characterized in that: Determining the overall perceived superiority of the indicator data relative to each of the damage thresholds according to each of the damage thresholds and the indicator data corresponding to the node, comprising: Determine the profit and loss value matrix corresponding to each indicator according to the damage critical value corresponding to each indicator and the indicator data; Obtaining the combined weights corresponding to the indicators, and determining the individual perceived superiority matrix according to the combined weights and the benefit-loss value matrices; The overall perceived superiority of the indicator data relative to each of the damage thresholds is determined according to the individual perceived superiority matrix.

4. The multi-scale resilience assessment method for urban underground space according to claim 3 is characterized in that: Determining the profit and loss value matrix corresponding to each indicator according to the damage critical value corresponding to each indicator and the indicator data respectively includes: Determine the original data matrix according to the damage critical value corresponding to each indicator and the indicator data; The difference between the data corresponding to the same indicator in the original data matrix is ​​calculated, and the profit and loss value matrix corresponding to the indicator is determined according to each of the differences.

5. The multi-scale resilience assessment method for urban underground space according to claim 3 is characterized in that: The method for obtaining the combined weight corresponding to each indicator includes: Determine the subjective weight corresponding to each indicator based on the hierarchical analysis method; Determine the objective weight corresponding to each indicator based on the entropy weight method; Game theory is used to determine the combined weight corresponding to each indicator based on the subjective weight and the objective weight corresponding to each indicator.

6. The multi-scale resilience assessment method for urban underground space according to claim 1 is characterized in that: The comprehensive resilience change curves of the urban underground space network when each node repair scheme is adopted are drawn separately, including: Calculate the comprehensive resilience assessment results of the urban underground space network corresponding to each repair stage when the node repair scheme is adopted; The comprehensive toughness change curve is drawn according to the comprehensive toughness evaluation results corresponding to each repair stage.

7. The multi-scale resilience assessment method for urban underground space according to claim 6 is characterized in that: The calculation method of the comprehensive toughness evaluation result includes: Calculate the average network efficiency, structural entropy and betweenness of the urban underground space network respectively; The coefficient of variation method is used to determine the weights corresponding to the average network efficiency, the structural entropy and the betweenness respectively; The comprehensive resilience evaluation result is determined according to the network average efficiency, the structural entropy, the betweenness and each weight.

8. A multi-scale resilience assessment device for urban underground space, characterized in that: The device comprises: A data acquisition module, used to acquire underground space information corresponding to the urban underground space network, and determine the indicator data corresponding to each indicator of each node in the urban underground space network according to the underground space information; A node resilience assessment determination module is used to determine the node resilience assessment result of each node according to the indicator data corresponding to each node; A failure node determination module, used to determine a number of failure nodes in the urban underground space network according to the resilience assessment results of each node; A repair scheme building module, used to determine a number of node repair schemes according to each of the failed nodes; The repair scheme determination module is used to draw the comprehensive resilience change curve of the urban underground space network when each of the node repair schemes is adopted, and select the node repair scheme as the target node repair scheme according to each of the comprehensive resilience change curves.

9. A terminal, characterized in that: The terminal includes a memory and one or more processors; the memory stores one or more programs; the program contains instructions for executing the multi-scale resilience assessment method for urban underground space as described in any one of claims 1-7; and the processor is used to execute the program.

10. A computer-readable storage medium having a plurality of instructions stored thereon, characterized in that: The instructions are suitable for being loaded and executed by a processor to implement the steps of the multi-scale resilience assessment method for urban underground space as described in any one of claims 1-7 above.

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