Tunnel stability evaluation method and system based on elastic-plastic analysis of soil body in cold region
Through the method based on elastic-plastic analysis of soil in cold areas, a computer-interactive stability evaluation is carried out on the tunnel, which solves the problem of traditional methods relying on manual experience, and achieves a more efficient and accurate tunnel stability evaluation.
Patent Information
- Application Number
- CN202411726034.9
- Authority / Receiving Office
- CN · China
- Patent Type
- Applications(China)
- Current Assignee / Owner
- Filing Date
- 2024-11-28
- Publication Date
- 2025-03-14
- Estimated Expiration
- 2044-11-28
AI Technical Summary
The traditional tunnel stability evaluation method relies on manual experience and lacks computer interactive assistance, resulting in high labor costs and low safety management level of tunnels in cold areas.
Using a method based on elastic-plastic analysis of soil in cold areas, the tunnel is evaluated first, a visual evaluation model is generated, and the user is guided to conduct interactive second evaluation to realize computer-aided expert evaluation.
It reduces labor costs, improves the safety management level of tunnel projects in cold areas, and improves the efficiency and accuracy of tunnel stability assessment through computer interactive auxiliary evaluation.
Smart Images

Figure CN119624008A_ABST
Abstract
Description
Technical Field
[0001] The invention relates to the technical field of computer data processing, and in particular to a tunnel stability evaluation method and system based on elastic-plastic analysis of cold-region soil. Background Art
[0002] The development of the plastic zone of the soil around the tunnel in cold regions is one of the most important factors controlling the stability of tunnels in cold regions. In cold regions, tunnels and their surrounding media are very susceptible to extreme external environments. Due to the influence of temperature changes, the liquid water in the medium will freeze and expand in volume. The volume expansion will be restricted by the lining and the unfrozen soil around the tunnel, generating forces acting on the lining, which are called frost heave forces. Due to the influence of the frost heave force in the frozen soil, the stress in the surrounding medium will increase. When the stress exceeds the yield stress, the plastic zone begins to develop. The emergence of frost heave forces will cause the plastic zone in the surrounding medium to expand significantly. As the plastic zone increases, the tunnel will become unstable. If the frost heave force acting on the lining is large enough, the lining will be destroyed and the stability of the tunnel will be further damaged. In addition, the degradation of geotechnical properties caused by freeze-thaw cycles and the unevenness of frost heave will increase the complexity of the problem. Therefore, it is necessary to continuously evaluate the stability of the tunnel.
[0003] Traditional tunnel stability evaluation methods often rely entirely on manual experience and lack computer-assisted interactive methods to assist experts in tunnel stability evaluation, which increases labor costs and leads to a low level of safety management of tunnel projects in cold environments.
[0004] Therefore, a solution is urgently needed. Summary of the invention
[0005] One of the purposes of the present invention is to provide a tunnel stability evaluation method based on the elastic-plastic analysis of cold-region soil. Based on the elastic-plastic analysis of cold-region soil, a first evaluation is performed on the stability of the tunnel, and a first evaluation result is obtained. Based on the first evaluation result, a visual evaluation model is generated to guide and interactively assist users to perform a second evaluation on the stability of the tunnel based on the visual evaluation model, obtain a second evaluation result, and output the second evaluation result, so as to realize computer interactive assistance to experts in tunnel stability evaluation, reduce labor costs, and improve the safety management level of tunnel projects in cold-region environments.
[0006] The embodiment of the present invention provides a tunnel stability evaluation method based on elastic-plastic analysis of cold-region soil, comprising:
[0007] Based on the elastic-plastic analysis of cold-region soil, the stability of the tunnel is evaluated first and the first evaluation results are obtained;
[0008] Based on the first evaluation result, generating a visual evaluation model;
[0009] Guide and interactively assist users to conduct a second evaluation of the stability of the tunnel based on a visual evaluation model and obtain a second evaluation result;
[0010] The second evaluation result is output.
[0011] Optionally, the first evaluation of the stability of the tunnel based on the elastoplastic analysis of cold-region soil includes:
[0012] Based on the simplified elastoplastic dynamic model of the non-uniform frost-heaving soil around the tunnel in cold regions, the first evaluation of the tunnel stability is carried out.
[0013] Optionally, generating a visual evaluation model based on the first evaluation result includes:
[0014] Content mapping is performed between the first evaluation result and the content mapping map, and a plurality of content trees and respective tree relationships and tree weights of the content trees are determined from the content mapping map; wherein the content tree includes: a tree structure in which all tree nodes attached to the content mapping map are mapped with sub-contents in the first evaluation result; the tree relationship includes: an association relationship between a content tree and other content trees; and the tree weight includes: a weight value of a content tree in a weight value table corresponding to a combination of all content trees;
[0015] Based on the tree setting rule, each content tree is set on the timeline; wherein the tree setting rule includes: each content tree is set on the timeline in descending order according to the tree weight, and the content tree with the largest tree weight is set at the first position of the timeline; when two adjacent content trees have the same tree relationship, the interval between the two adjacent content trees on the timeline is the first standard interval value; otherwise, the interval between the two adjacent content trees on the timeline is the second standard interval value of the tree weight difference between the two adjacent content trees in the interval value table; the length of the span interval of each content tree on the timeline is the standard length value;
[0016] Based on the visualization rules, the basic model is visualized and configured according to the timeline after each content tree is set; wherein the visualization rules include: the virtual pointer starts to move from the starting point of the timeline after each content tree is set, and when it moves to the cross-interval, the basic model is controlled to visualize the sub-contents in the first evaluation result of all tree nodes attached to the content tree in the cross-interval moved to;
[0017] The basic model after the visualization configuration is completed is used as the visualization evaluation model.
[0018] Optionally, the guiding and interactively assisting the user to perform a second evaluation on the stability of the tunnel based on the visual evaluation model includes:
[0019] Provide guidance and prompts to users;
[0020] When the user confirms the guidance, a visual evaluation model is displayed to the user;
[0021] Extract features of the interactive information generated by the user's interaction with the visual evaluation model within the target time interval to obtain multiple interactive features;
[0022] Matching each interaction feature with a plurality of standard interaction features respectively;
[0023] Determining target auxiliary knowledge from an auxiliary knowledge base; the target auxiliary knowledge is indicated most by each standard interaction feature that matches at least one interaction feature in the auxiliary knowledge base;
[0024] Analyze the target auxiliary knowledge to obtain multiple auxiliary rules and the rule priority of each auxiliary rule;
[0025] Execute each auxiliary rule in order from the highest priority to the lowest priority to assist the user in interacting with the visual evaluation model in the future; each time an auxiliary rule is executed, when the user confirms the auxiliary rule executed this time, the next auxiliary rule is executed;
[0026] The starting time of the target time interval is the time when the virtual pointer moves to a new cross-interval after passing through N cross-intervals, and the ending time of the target time interval is the time when the user's last active operation of the visualization evaluation model ends before the virtual pointer moves to the end point of the new cross-interval; N is a positive integer;
[0027] or,
[0028] The starting time of the target time interval is the time when the user starts to perform a passive operation visualization evaluation model, and the ending time of the target time interval is the time when the user ends the passive operation visualization evaluation model.
[0029] Optionally, outputting the second evaluation result includes:
[0030] The second evaluation result is displayed to the evaluation result requester.
[0031] The embodiment of the present invention provides a tunnel stability evaluation system based on elastic-plastic analysis of cold-region soil, comprising:
[0032] A first evaluation module is used to perform a first evaluation on the stability of the tunnel based on the elastic-plastic analysis of the cold region soil and obtain a first evaluation result;
[0033] A generating module, used for generating a visual evaluation model based on the first evaluation result;
[0034] A second evaluation module is used to guide and interactively assist the user to conduct a second evaluation on the stability of the tunnel based on the visual evaluation model and obtain a second evaluation result;
[0035] The output module is used to output the second evaluation result.
[0036] Optionally, the first evaluation module performs a first evaluation on the stability of the tunnel based on the elastic-plastic analysis of cold-region soil, including:
[0037] Based on the simplified elastoplastic dynamic model of the non-uniform frost-heaving soil around the tunnel in cold regions, the first evaluation of the tunnel stability is carried out.
[0038] Optionally, the generating module generates a visual evaluation model based on the first evaluation result, including:
[0039] Content mapping is performed between the first evaluation result and the content mapping map, and a plurality of content trees and respective tree relationships and tree weights of the content trees are determined from the content mapping map; wherein the content tree includes: a tree structure in which all tree nodes attached to the content mapping map are mapped with sub-contents in the first evaluation result; the tree relationship includes: an association relationship between a content tree and other content trees; and the tree weight includes: a weight value of a content tree in a weight value table corresponding to a combination of all content trees;
[0040] Based on the tree setting rule, each content tree is set on the timeline; wherein the tree setting rule includes: each content tree is set on the timeline in descending order according to the tree weight, and the content tree with the largest tree weight is set at the first position of the timeline; when two adjacent content trees have the same tree relationship, the interval between the two adjacent content trees on the timeline is the first standard interval value; otherwise, the interval between the two adjacent content trees on the timeline is the second standard interval value of the tree weight difference between the two adjacent content trees in the interval value table; the length of the span interval of each content tree on the timeline is the standard length value;
[0041] Based on the visualization rules, the basic model is visualized and configured according to the timeline after each content tree is set; wherein the visualization rules include: the virtual pointer starts to move from the starting point of the timeline after each content tree is set, and when it moves to the cross-interval, the basic model is controlled to visualize the sub-contents in the first evaluation result of all tree nodes attached to the content tree in the cross-interval moved to;
[0042] The basic model after the visualization configuration is completed is used as the visualization evaluation model.
[0043] Optionally, the second evaluation module guides and interactively assists the user to perform a second evaluation on the stability of the tunnel based on the visual evaluation model, including:
[0044] Provide guidance and prompts to users;
[0045] When the user confirms the guidance, a visual evaluation model is displayed to the user;
[0046] Extract features of the interactive information generated by the user's interaction with the visual evaluation model within the target time interval to obtain multiple interactive features;
[0047] Matching each interaction feature with a plurality of standard interaction features respectively;
[0048] Determining target auxiliary knowledge from an auxiliary knowledge base; the target auxiliary knowledge is indicated most by each standard interaction feature that matches at least one interaction feature in the auxiliary knowledge base;
[0049] Analyze the target auxiliary knowledge to obtain multiple auxiliary rules and the priority of each auxiliary rule;
[0050] Execute each auxiliary rule in order from the highest priority to the lowest priority to assist the user in interacting with the visual evaluation model in the future; each time an auxiliary rule is executed, when the user confirms the auxiliary rule executed this time, the next auxiliary rule is executed;
[0051] The starting time of the target time interval is the time when the virtual pointer moves to a new cross-interval after passing through N cross-intervals, and the ending time of the target time interval is the time when the user's last active operation of the visualization evaluation model ends before the virtual pointer moves to the end point of the new cross-interval; N is a positive integer;
[0052] or,
[0053] The starting time of the target time interval is the time when the user starts to perform a passive operation visualization evaluation model, and the ending time of the target time interval is the time when the user ends the passive operation visualization evaluation model.
[0054] Optionally, the output module outputs the second evaluation result, including:
[0055] The second evaluation result is displayed to the evaluation result requester.
[0056] Other features and advantages of the present invention will be described in the following description, and partly become apparent from the description, or understood by practicing the present invention. The purpose and other advantages of the present invention can be realized and obtained by the structures particularly pointed out in the written description and the accompanying drawings.
[0057] The technical solution of the present invention is further described in detail below through the accompanying drawings and embodiments. BRIEF DESCRIPTION OF THE DRAWINGS
[0058] The accompanying drawings are used to provide a further understanding of the present invention and constitute a part of the specification. Together with the embodiments of the present invention, they are used to explain the present invention and do not constitute a limitation of the present invention. In the accompanying drawings:
[0059] Figure 1 Schematic diagram of a tunnel stability evaluation method based on elastic-plastic analysis of cold-region soil in an embodiment of the present invention;
[0060] Figure 2 It is a schematic diagram of a simplified elastic-plastic model of a cold-region tunnel buried deep in frost-heaving soil in an embodiment of the present invention;
[0061] Figure 3 It is a schematic diagram of a tunnel stability evaluation system based on elastic-plastic analysis of cold-region soil in an embodiment of the present invention. DETAILED DESCRIPTION
[0062] The preferred embodiments of the present invention are described below in conjunction with the accompanying drawings. It should be understood that the preferred embodiments described herein are only used to illustrate and explain the present invention, and are not used to limit the present invention.
[0063] The embodiment of the present invention provides a tunnel stability evaluation method based on elastic-plastic analysis of cold-region soil, such as Figure 1 As shown, including:
[0064] S1. Based on the elastic-plastic analysis of cold-region soil, a first evaluation is performed on the stability of the tunnel to obtain a first evaluation result;
[0065] S2. generating a visual evaluation model based on the first evaluation result;
[0066] S3, guiding and interactively assisting the user to perform a second evaluation on the stability of the tunnel based on the visual evaluation model, and obtaining a second evaluation result;
[0067] S4. Output the second evaluation result.
[0068] Users can conduct an in-depth analysis of the stability of the tunnel based on the visual evaluation model. During the in-depth analysis, the system provides guidance and interactive assistance to improve the efficiency of the in-depth analysis. After the in-depth analysis is completed, the system conducts a final second evaluation of the stability of the tunnel and outputs the second evaluation results.
[0069] This application performs a first evaluation on the stability of the tunnel based on the elastic-plastic analysis of cold-region soil, obtains a first evaluation result, generates a visual evaluation model based on the first evaluation result, guides and interactively assists users to perform a second evaluation on the stability of the tunnel based on the visual evaluation model, obtains a second evaluation result, and outputs the second evaluation result, thereby realizing computer interactive assistance to experts in tunnel stability evaluation, reducing labor costs and improving the safety management level of tunnel projects in cold-region environments.
[0070] Specifically, based on the elastic-plastic analysis of cold-region soil, the first evaluation of tunnel stability is carried out, including:
[0071] Based on the simplified elastoplastic dynamic model of the non-uniform frost-heaving soil around the tunnel in cold regions, the first evaluation of the tunnel stability is carried out.
[0072] It is very important to study the plastic zone of the soil layer around the cold region tunnel and the stress distribution and deformation of each medium layer around the tunnel, including lining, frozen soil area and non-frozen soil area. The appearance of frost heave stress in the plastic zone and the inner and outer edges of the frozen soil layer in the medium around the cold region tunnel is mainly affected by two factors: constraint conditions and the characteristics of the frozen soil layer. The first constraint condition includes force constraint and displacement constraint; the second factor is based on the properties and structure of the frozen surrounding soil layer. The increase in the elastic modulus of frozen soil will increase the constraint capacity of the frozen soil layer, generate a larger frost heave force, and thus it is easier to reach the plastic state. In addition, the stress in the soil, the elastic modulus of the soil in the unfrozen area, and the shear modulus will also affect the development of the plastic zone radius by controlling the frost heave deformation. If the changes in these parameters reduce the restrictive frost heave deformation, the plastic zone will also expand. The above-mentioned factors are related to constraints, while the remaining factors are related to the characteristics of the frozen surrounding soil. The internal friction angle and shear modulus both affect the shear strength, which will increase with the increase of these factors, thus affecting the plastic zone. In addition, the thickness of the frozen soil layer and the linear strain caused by frost heave will also control the deformation caused by frost heave. The increase of these parameters will also increase the frost heave deformation and plastic radius.
[0073] Therefore, the study of the development law of plastic zone caused by freezing of the medium around tunnels in cold regions is of great significance, and more and more research results are being obtained. However, when external loads act on the lining, the complexity of the problem is increased. Considering that the vibration problem caused by train operation is inevitable, the simplified dynamic study of elastic-plastic non-uniform frost heave soil around tunnels in cold regions is more in line with the actual situation. In order to study the simplified dynamic problem of elastic-plastic soil with incomplete frost heaving around tunnels in cold regions, this application studies the vibration response of lining, plastic frozen soil zone, elastic frozen soil zone and non-frozen soil under load when the soil around the lining is unevenly frozen in the frequency domain, derives the analytical expressions of displacement and stress of non-frozen soil, plastic frozen soil zone, elastic frozen soil zone and lining under load, determines the unknown coefficients according to the continuity conditions, and discusses the influence of factors such as uneven frost heaving coefficient, external load amplitude, elastic frozen soil zone thickness on the dynamic response of cold region soil tunnel considering plastic area, so as to make a first evaluation of the stability of the tunnel. The result knowledge of the first evaluation includes: when the soil around the lining is unevenly frozen, the vibration response of lining, plastic frozen soil zone, elastic frozen soil zone and non-frozen soil under load, and the influence of factors such as uneven frost heaving coefficient, external load amplitude, elastic frozen soil zone thickness on the dynamic response of cold region soil tunnel considering plastic area.
[0074] The soil around the tunnel buried deep in the cold region is mostly permafrost or seasonally frozen soil. Due to the low outside temperature, the soil layer around the tunnel is easily affected by the outside temperature, and some soil layers will deteriorate. Therefore, it is necessary to establish Figure 2 The simplified dynamic model of elastic-plastic soil with uneven frost heave around a cold zone tunnel is shown. From the inside to the outside, the model is surrounded by the lining of area I, the plastic frozen soil layer of area II, the elastic frozen soil layer of area III, and the elastic non-frozen soil layer of area IV. The distances from the center O to the inner surface of the tunnel lining, the contact surface between the lining and the plastic frozen soil, the contact surface between the plastic frozen soil and the elastic frozen soil, and the frozen surface are R1, R2, R3, and R4, respectively. d1 = R2-R1, d2 = R3-R2, and d3 = R4-R3 are the thickness of the lining, the thickness of the plastic frozen soil layer, and the thickness of the elastic frozen soil layer, respectively. The load on the inner surface of the lining is q0e iωt The radial uniformly distributed simple harmonic load is applied. Where ω is the circular frequency, i 2 =-1. f , σ p , σ u and p0 are the radial stress between the lining and the plastic frozen soil layer, the radial stress between the plastic frozen soil layer and the elastic frozen soil layer, the radial stress between the elastic frozen soil layer and the non-frozen soil layer, and the initial ground stress, respectively.
[0075] The temperature is considered to change uniformly in the soil along the freezing direction. The non-uniform frost heave coefficient of frozen soil during frost heave can be obtained by the ratio of the linear frost heave rate in the horizontal direction to that in the vertical direction (α / / / α ⊥) is approximately the ratio of the radial to the circumferential linear frost heave rate (α r / α θ ). Volume frost heaving rate of frozen soil around tunnels in cold regions ε v The relationship between the non-uniform frost heave coefficient k and the radial frost heave rate and the circumferential frost heave rate is as follows:
[0076]
[0077] In order to solve the elastic-plastic dynamic response problem of tunnels in cold regions when the surrounding soil undergoes uneven frost heave, the following assumptions are made based on the complexity of the frozen soil dynamics problem in cold regions:
[0078] (1) The cross section of the tunnel is circular and a plane strain problem is assumed. The lining is considered to be an isotropic elastic material and the plastic region of the frozen soil is considered to be a perfect plastic material.
[0079] (2) The soil is regarded as unevenly frozen and heaving, and the freezing and heaving process of the soil is not considered.
[0080] (3) The soil and ice particles are immobile, and the effect of water migration on the dynamic response is ignored. The effect of energy loss of each component during freezing and thawing on the dynamic response is not considered.
[0081] (4) Possible thermal and chemical effects are eliminated, as well as the hysteresis of capillary pressure.
[0082] The governing equations for the lining are as follows:
[0083] According to elastic mechanics, the lining domain is regarded as an ideal elastic body, and the motion equation of the lining is:
[0084]
[0085] in: and are the radial stress and hoop stress of the lining, is the radial displacement of the lining; ρ L is the density of the lining, t represents the time, and r is the radius.
[0086] The constitutive equations of the lining can be written as:
[0087]
[0088] in: and are the radial and circumferential strains of the lining, respectively. L and ν L They are Young's modulus and Poisson's ratio of the lining, Young's modulus, Poisson's ratio and shear modulus μ of the lining. L There are the following relations:
[0089]
[0090] Combining formula (6-6) and transforming formula (6-4) and (6-5), we can get the stress expression of the lining:
[0091]
[0092] For an ideal elastic medium, the following geometric conditions need to be met:
[0093]
[0094] Substituting equations (6-7) to (6-10) into equation (6-3), we can obtain
[0095]
[0096] For steady-state vibration, we can set Represents the dimensionless radial displacement of the lining, and the following dimensionless quantities and constants are introduced:
[0097]
[0098] Combining formula (6-12), we can get the transformation of (6-11) as follows:
[0099]
[0100] in:
[0101] Using the boundary conditions, we can solve equation (6-13) to get
[0102]
[0103] Where: A1, A2 are unknown coefficients, J1(hη) is the Bessel function of the first kind, K1(hη) is the Bessel function of the second kind, and subscript 1 is the order.
[0104] The governing equations for the soil in the unfrozen area are as follows:
[0105] According to elastic mechanics, the non-frozen area is regarded as an ideal elastic body, and the motion equation of the soil in the non-frozen area is:
[0106]
[0107] in: and are the radial stress and hoop stress of soil in non-frozen area, is the radial displacement of soil in the non-frozen area; ρ u is the density of soil in non-frozen areas.
[0108] The constitutive equations of the soil in the unfrozen area can be written as
[87] :
[0109]
[0110] in: and are the radial and circumferential strains of non-frozen soil, respectively; E u and ν u are Young's modulus and Poisson's ratio of non-frozen soil, Young's modulus, Poisson's ratio and shear modulus μ of non-frozen soil respectively. u There are the following relations:
[0111]
[0112] Combining equation (6-18) and transforming equations (6-16) and (6-17), we can get the stress expression of soil in non-frozen areas:
[0113]
[0114] For soil in non-frozen areas, the following geometric conditions need to be met:
[0115]
[0116] Substituting equations (6-19) to (6-22) into equation (6-15), we can obtain
[0117]
[0118] For steady-state vibration, we can set Represents the dimensionless radial displacement of the soil in the non-frozen area, and introduces the following dimensionless quantity:
[0119]
[0120] Combining formula (6-24), we can get the transformation of (6-23) as follows:
[0121]
[0122] in:
[0123] According to the properties of the Bessel function (η→∞), equation (6-25) can be solved as:
[0124]
[0125] Among them: A3 is the coefficient to be determined.
[0126] The governing equations for the elastically frozen soil are as follows:
[0127] The motion equation of the soil in the elastic freezing area can be expressed as
[0128]
[0129] in: and are the radial stress and hoop stress of the soil in the elastic freezing area respectively; is the radial displacement of the soil in the elastic freezing zone, ρ f is the density of the soil in the elastic freezing area.
[0130] Based on the theory of uneven frost heave and elasticity of frozen soil, the constitutive equation of the soil in the frozen area is:
[86]
[0131]
[0132] in: and are the radial and circumferential strains of the soil in the elastic freezing zone, ε r and ε θ are the radial and circumferential strains of the soil in the frozen soil area, and are the radial and circumferential strains of the soil in the plastic freezing area, respectively. f and ν f They are Young's modulus and Poisson's ratio of frozen soil, Young's modulus, Poisson's ratio and shear modulus μ of frozen soil. f There are the following relations:
[0133]
[0134] Combining formula (6-30) and transforming formula (6-28) and (6-29), we can get the stress expression of the soil in the elastic frozen soil area:
[0135]
[0136] For elastic frozen soil, the following geometric conditions need to be met:
[0137]
[0138] Substituting equations (6-31) to (6-34) into equation (6-27), we can obtain
[0139]
[0140] For steady-state vibration, we can set Representing the dimensionless radial displacement of the soil in the elastic frozen soil area, the following dimensionless quantity is introduced:
[0141]
[0142] Combining formula (6-36), we can get the transformation of (6-35) as follows:
[0143]
[0144] in:
[0145] Using the boundary conditions, we can solve equation (6-37) to get
[0146]
[0147] Among them: A4 and A5 are unknown coefficients.
[0148] The governing equations for the frozen plastic region are as follows:
[0149] The stress in the soil in the plastic freezing area satisfies the following compatibility equation:
[0150]
[0151] According to the linear flow law commonly used in geotechnical materials, the soil in the plastic freezing area satisfies
[0152]
[0153] in: ψ is the dilatancy angle.
[0154] At the same time, according to formula (6-28) and formula (6-29), we can know
[0155]
[0156] Combining formulas (6-39) to (6-42), we can get
[0157]
[0158] By non-dimensionalizing equations (6-33) and (6-34), we can obtain
[0159]
[0160] Substituting equations (6-44) and (6-45) into equation (6-43), we can obtain
[0161]
[0162] Solving equation (6-46) yields
[0163]
[0164] Among them: B1 is the coefficient to be determined.
[0165] Substituting formula (6-47) into formula (6-40), we can get
[0166]
[0167] Substituting formulas (6-44), (6-45), (6-47) and (6-48) into formulas (6-41) and (6-42), the soil strain in the plastic frozen soil area can be obtained:
[0168]
[0169] The motion equation of the soil in the plastic frozen soil area can be expressed as
[0170]
[0171] in: and are the radial stress and hoop stress of the soil in the plastic frozen soil area, is the radial displacement of soil in the plastic frozen soil area.
[0172] For the soil in the plastic frozen soil area, the following geometric conditions need to be met:
[0173]
[0174] Substituting formulas (6-44), (6-45), (6-47) and (6-48) into formulas (6-41) and (6-42) and combining formulas (6-28) and (6-29), we can obtain the soil stress in the plastic frozen soil area:
[0175]
[0176] Where: υ1=(2ν f -1)(ν f -1)η,υ2=h3(ν f -1) 2 η 2 ,υ3=h3(ν f -1)ν f η 2 .
[0177] For steady-state vibration, we can set Representing the dimensionless radial displacement of the soil in the plastic frozen soil area, the following dimensionless quantity is introduced:
[0178]
[0179] Substituting formulas (6-49), (6-50), (6-52) to (6-55) into formula (6-51), we can solve formula (6-58) using the boundary conditions.
[0180]
[0181] The boundary conditions are as follows:
[0182] It is assumed that the lining and frozen soil as well as the soil layers are in complete and tight contact, and each medium contact surface satisfies the displacement and stress continuity conditions.
[0183] On the inner boundary of the lining (r = R1), the external load q0e iωt is equal to the radial stress of the lining, that is:
[0184]
[0185] At the contact surface between the lining and the frozen soil (r = R2), the radial stress and radial displacement of the lining and the soil in the plastic frozen soil area are the same, that is:
[0186]
[0187] At the contact surface between the plastic frozen soil area and the elastic frozen soil area (r = R3), the radial displacement of the soil in the plastic frozen soil area is the same as that in the elastic frozen soil area, that is:
[0188]
[0189] At the contact surface between the elastic frozen soil area and the elastic non-frozen soil area (r = R4), the radial displacement and radial stress of the soil in the elastic frozen soil area are the same as those in the elastic non-frozen soil area, that is:
[0190]
[0191] Through the above boundary conditions, we can get the unknown coefficients A1~A5 and B1. Then, by bringing the unknown coefficients back into the relevant formula, we can get Figure 1 Specific answers to the steady-state responses of different regions in the system.
[0192] In one embodiment, generating a visual evaluation model based on the first evaluation result includes:
[0193] S201, performing content mapping between the first evaluation result and the content mapping map, and determining multiple content trees and respective tree relationships and tree weights of each content tree from the content mapping map; wherein the content tree includes: a tree structure in which all tree nodes attached to the content mapping map are mapped with sub-contents in the first evaluation result; the tree relationship includes: an association relationship between a content tree and other content trees; and the tree weight includes: a weight value of a content tree in a weight value table corresponding to a combination of all content trees;
[0194] In step S201, a content mapping map is pre-set, and there are multiple tree structures in the content mapping map, and multiple tree nodes are attached to the tree structures; each tree structure represents a situation that requires tunnel stability evaluation, and the tree nodes attached to the tree structure form a mapping relationship with the constituent element content of the situation. When content mapping is performed between the first evaluation result and the content mapping map, each tree node searches for the corresponding constituent element content in the first evaluation result based on the mapping relationship, and when it is searched, it is used as the mapped sub-content; therefore, when all the tree nodes attached to the tree structure are mapped with sub-content in the first evaluation result, it means that there is a situation that requires tunnel stability evaluation represented by the tree structure, that is, the situation exists when the content tree is determined; specifically, for example: the situation that requires tunnel stability evaluation represented by the tree structure is analyzed for the first evaluation result. The error of the result, the constituent elements of the situation that form a mapping relationship with the tree nodes attached to the tree structure are the evaluation process of the first evaluation, the evaluation result records of the stability of the tunnel in history, etc.; the association relationship between the content tree and other content trees can be that the situations represented by the two are the same (such as evaluation error analysis), the situations represented by the two have a causal relationship (such as one is error analysis and the other is error impact analysis), etc.; all content trees will be jointly corresponding to a weight value table, and the weight value table contains the weight values of all content trees, and the sum of the weight values of all content trees is 1. The weight value of the content tree represents the importance of the situation represented by each content tree when the situation represented by all content trees requires tunnel stability evaluation. The larger the weight value, the greater the importance.
[0195] S202, based on the tree setting rule, each content tree is set on the timeline; wherein the tree setting rule includes: each content tree is sequentially set on the timeline according to the tree weight from large to small, and the content tree with the largest tree weight is set at the first position of the timeline; when two adjacent content trees have the same tree relationship, the interval between the two adjacent content trees on the timeline is the first standard interval value; otherwise, the interval between the two adjacent content trees on the timeline is the second standard interval value of the tree weight difference between the two adjacent content trees in the interval value table; the length of the span interval of each content tree on the timeline is the standard length value;
[0196] In step S202, there are multiple moments on the timeline; the larger the tree weight, the more important the situation represented by the corresponding content tree that requires tunnel stability evaluation, and the earlier it is set on the timeline; the content tree with the largest tree weight is set at the first position of the timeline, that is, the earliest moment on the timeline; when two adjacent content trees have the same tree relationship, it means that experts need to pay attention to the situation represented by the two content trees that requires tunnel stability evaluation, and set the intervals with the same first standard interval value. When the length of the span interval is the same as the standard length value, the experts can first pay attention to the situation represented by the content tree set in front that requires tunnel stability evaluation, and in the later stage, they can jointly pay attention to the situation represented by the two content trees that requires tunnel stability evaluation; between two adjacent content trees in time The interval on the timeline is the absolute value of the difference between the moments when the two are set on the timeline; the first standard interval value can be 100 seconds; the span interval is the time interval starting from the moment when the content tree is set, and the standard length value can be 300 seconds; when the two adjacent content trees do not have the same tree relationship, query the interval value table to determine the second standard interval value corresponding to the tree weight difference of the two adjacent content trees, the second standard interval value is positively correlated with the tree weight difference, the tree weight difference of the two adjacent content trees is the absolute value of the difference between the tree weights of the adjacent content trees, the larger the value, the more important the situation represented by the former content tree that needs to be evaluated for tunnel stability is than the latter, and the larger the second standard interval value, the longer the expert personnel pay attention to the situation represented by the previous content tree that needs to be evaluated for tunnel stability;
[0197] S203, based on the visualization rules, according to the timeline after each content tree is set, the basic model is visualized and configured; wherein the visualization rules include: the virtual pointer starts to move from the starting point of the timeline after each content tree is set, and when it moves to the cross-interval, the basic model is controlled to visualize the sub-contents in the first evaluation result of all tree nodes attached to the content tree in the cross-interval to which it moves;
[0198] In step S203, the virtual pointer moves at a normal speed of time. The basic model is a digital three-dimensional model, and when visualizing the sub-contents, the sub-contents are arranged according to the types of the sub-contents. The specific arrangement rules can be set in advance by the technicians.
[0199] S204: Use the basic model after the visualization configuration is completed as a visualization evaluation model.
[0200] When generating a visualization evaluation model based on the first evaluation result, the embodiment of the present invention performs content mapping between the first evaluation result and the content mapping map, determines multiple content trees and their respective tree relationships and tree weights from the content mapping map, and determines tree setting rules based on the content trees and their respective tree relationships and tree weights. Based on the visualization rules, the basic model is visualized and configured according to the timeline after each content tree is set. Finally, the basic model after the visualization configuration is used as the visualization evaluation model, so that the visualization evaluation model can dynamically and specifically display sub-contents in sequence and in a precise manner to facilitate the user to perform a second evaluation on the stability of the tunnel, thereby greatly improving the comprehensiveness, accuracy and applicability of the visualization evaluation model generation, thereby improving its ability to assist users and improving the user's evaluation efficiency.
[0201] In one embodiment, the guiding and interactively assisting the user to perform a second evaluation on the stability of the tunnel based on the visual evaluation model includes:
[0202] S301, providing guidance and prompts to the user;
[0203] In step S301, when guiding the user, a guidance prompt message may be displayed to the user, for example: "You will be guided soon, please confirm";
[0204] S302: When the user confirms the guidance, a visual evaluation model is displayed to the user;
[0205] In step S302, when the user confirms the guidance, the visual evaluation model is displayed to the user;
[0206] S303, extracting features of interaction information generated by the user interacting with the visualization evaluation model within the target time interval to obtain multiple interaction features;
[0207] In step S303, the interaction between the user and the visual evaluation model refers to the user's operation on the visual evaluation model and the display and feedback content of the visual evaluation model. Correspondingly, the interaction information includes the operation type and operation time of the user's operation and the display and feedback content type and time of the visual evaluation model. When extracting features from the interaction information, the extracted multiple interaction features are information features of this type of information.
[0208] S304, matching each interaction feature with a plurality of standard interaction features respectively;
[0209] S305, determining target auxiliary knowledge from the auxiliary knowledge base; the target auxiliary knowledge is indicated by the most standard interaction features that match at least one interaction feature in the auxiliary knowledge base;
[0210] In step S305, the standard interaction feature is an interaction feature that can indicate what kind of auxiliary knowledge is used to assist the interaction between the user and the visualization evaluation model. For example, if the standard interaction feature is to keep viewing the stability analysis result of a certain structural area of the tunnel for more than 3 minutes, the indicated auxiliary knowledge is the auxiliary knowledge that displays the historical stability analysis results of the result area, so that the user can perform historical comparative analysis; each time the standard interaction feature matches the interaction feature, the auxiliary knowledge that matches the standard interaction feature will be indicated once, thereby, the auxiliary knowledge that is most indicated by each standard interaction feature that matches at least one interaction feature in the auxiliary knowledge base is used as the target auxiliary knowledge;
[0211] S306, parsing the target auxiliary knowledge to obtain multiple auxiliary rules and the rule priority of each auxiliary rule;
[0212] In step S306, the target auxiliary knowledge includes multiple auxiliary rules and respective rule priorities of the auxiliary rules. The auxiliary rules are rules that need to be executed when the target auxiliary knowledge is used to assist the interaction between the user and the visualization evaluation model. The corresponding rule priority is the priority level of the auxiliary rules that need to be executed when the target auxiliary knowledge is used to assist the interaction between the user and the visualization evaluation model.
[0213] S307, executing each auxiliary rule in order from the highest priority to the lowest priority, so as to assist the user in interacting with the visual evaluation model in the future; wherein, each time an auxiliary rule is executed, when the user confirms the auxiliary rule executed this time, the next auxiliary rule is executed;
[0214] Execute each auxiliary rule in order from the highest priority to the lowest priority, so as to assist the user in the future interaction with the visual evaluation model;
[0215] Among them, the starting time of the target time interval is the moment when the virtual pointer moves to a new cross-interval each time after passing through N cross-intervals, and the ending time of the target time interval is the moment when the user's last active operation of the visual evaluation model ends before the virtual pointer moves to the end point of the new cross-interval to which it moves this time; N is a positive integer; N is preset, such as 3; the starting time of the target time interval is the moment when the virtual pointer moves to a new cross-interval each time after passing through N cross-intervals, which can be so that when the user views the visual evaluation model displayed to him / her some time ago, he / she will not be assisted, and only after he / she completes the previous viewing and has some understanding of the evaluation situation will he / she determine whether to assist him / her; active operation refers to the operation of the user actively operating the visual evaluation model, for example: controlling the visual evaluation model to stop visual display, etc.; the ending time of the target time interval is set to the moment when the user's last active operation of the visual evaluation model ends before the virtual pointer moves to the end point of the new cross-interval to which it moves this time; thus, it is suitable to determine whether to assist the user within the target time interval; the starting time and ending time of the target time interval belong to the same new cross-interval;
[0216] or,
[0217] The starting time of the target time interval is the time when the user starts a passive operation visualization evaluation model, and the ending time of the target time interval is the time when the user ends this passive operation visualization evaluation model. In addition, the starting time of the target time interval is also the time when the user starts a passive operation visualization evaluation model, and the ending time of the target time interval is the time when the user ends this passive operation visualization evaluation model; passive operation refers to the user adjusting the visualization progress of the visualization evaluation model because the visualization progress of the visualization evaluation model does not match the rhythm of the user's evaluation; when the user performs a passive operation, the probability that the interactive information generated next reflects his or her assistance needs is relatively high. Therefore, it is appropriate to determine whether the user is assisted within the target time interval.
[0218] The embodiment of the present invention introduces interactive features and standard interactive features when guiding and interactively assisting users to perform a second evaluation of the stability of the tunnel based on a visualization evaluation model. Based on the matching of the two, the target auxiliary knowledge that can be used to assist the user is quickly and accurately determined from the auxiliary knowledge base, the target auxiliary knowledge is parsed, and each auxiliary rule is executed in descending order according to the rule priority, so as to assist the user in future interaction with the visualization evaluation model, thereby greatly improving the assistance efficiency. Secondly, the target time interval is introduced to accurately determine the timing of identifying whether the user needs assistance, thereby reducing auxiliary resources and further improving the assistance efficiency.
[0219] In one embodiment, outputting the second evaluation result includes:
[0220] The second evaluation result is displayed to the evaluation result demander, who may be a tunnel site worker or the like.
[0221] The embodiment of the present invention provides a tunnel stability evaluation system based on elastic-plastic analysis of cold-region soil, such as Figure 3 As shown, including:
[0222] The first evaluation module 1 is used to perform a first evaluation on the stability of the tunnel based on the elastic-plastic analysis of the cold region soil and obtain a first evaluation result;
[0223] A generating module 2, used for generating a visual evaluation model based on the first evaluation result;
[0224] The second evaluation module 3 is used to guide and interactively assist the user to perform a second evaluation on the stability of the tunnel based on the visual evaluation model and obtain a second evaluation result;
[0225] The output module 4 is used to output the second evaluation result.
[0226] The first evaluation module performs a first evaluation on the stability of the tunnel based on the elastic-plastic analysis of cold-region soil, including:
[0227] Based on the simplified elastoplastic dynamic model of the non-uniform frost-heaving soil around the tunnel in cold regions, the first evaluation of the tunnel stability is carried out.
[0228] The generating module generates a visual evaluation model based on the first evaluation result, including:
[0229] Content mapping is performed between the first evaluation result and the content mapping map, and a plurality of content trees and respective tree relationships and tree weights of the content trees are determined from the content mapping map; wherein the content tree includes: a tree structure in which all tree nodes attached to the content mapping map are mapped with sub-contents in the first evaluation result; the tree relationship includes: an association relationship between a content tree and other content trees; and the tree weight includes: a weight value of a content tree in a weight value table corresponding to a combination of all content trees;
[0230] Based on the tree setting rule, each content tree is set on the timeline; wherein the tree setting rule includes: each content tree is set on the timeline in descending order according to the tree weight, and the content tree with the largest tree weight is set at the first position of the timeline; when two adjacent content trees have the same tree relationship, the interval between the two adjacent content trees on the timeline is the first standard interval value; otherwise, the interval between the two adjacent content trees on the timeline is the second standard interval value of the tree weight difference between the two adjacent content trees in the interval value table; the length of the span interval of each content tree on the timeline is the standard length value;
[0231] Based on the visualization rules, the basic model is visualized and configured according to the timeline after each content tree is set; wherein the visualization rules include: the virtual pointer starts to move from the starting point of the timeline after each content tree is set, and when it moves to the cross-interval, the basic model is controlled to visualize the sub-contents in the first evaluation result of all tree nodes attached to the content tree in the cross-interval moved to;
[0232] The basic model after the visualization configuration is completed is used as the visualization evaluation model.
[0233] The second evaluation module guides and interactively assists the user to perform a second evaluation on the stability of the tunnel based on the visual evaluation model, including:
[0234] Provide guidance and prompts to users;
[0235] When the user confirms the guidance, a visual evaluation model is displayed to the user;
[0236] Extract features of the interactive information generated by the user's interaction with the visual evaluation model within the target time interval to obtain multiple interactive features;
[0237] Matching each interaction feature with a plurality of standard interaction features respectively;
[0238] Determining target auxiliary knowledge from an auxiliary knowledge base; the target auxiliary knowledge is indicated most by each standard interaction feature that matches at least one interaction feature in the auxiliary knowledge base;
[0239] Analyze the target auxiliary knowledge to obtain multiple auxiliary rules and the priority of each auxiliary rule;
[0240] Execute each auxiliary rule in order from the highest priority to the lowest priority to assist the user in interacting with the visual evaluation model in the future; each time an auxiliary rule is executed, when the user confirms the auxiliary rule executed this time, the next auxiliary rule is executed;
[0241] The starting time of the target time interval is the time when the virtual pointer moves to a new cross-interval after passing through N cross-intervals, and the ending time of the target time interval is the time when the user's last active operation of the visualization evaluation model ends before the virtual pointer moves to the end point of the new cross-interval; N is a positive integer;
[0242] or,
[0243] The starting time of the target time interval is the time when the user starts to perform a passive operation visualization evaluation model, and the ending time of the target time interval is the time when the user ends the passive operation visualization evaluation model.
[0244] The output module outputs the second evaluation result, including:
[0245] The second evaluation result is displayed to the evaluation result requester.
[0246] Obviously, those skilled in the art can make various changes and modifications to the present invention without departing from the spirit and scope of the present invention. Thus, if these modifications and variations of the present invention fall within the scope of the claims of the present invention and their equivalents, the present invention is also intended to include these modifications and variations.
Claims
1. A tunnel stability evaluation method based on elastic-plastic analysis of cold-region soil, characterized in that: include: Based on the elastic-plastic analysis of cold-region soil, the stability of the tunnel is evaluated first and the first evaluation results are obtained; Based on the first evaluation result, generating a visual evaluation model; Guide and interactively assist users to conduct a second evaluation of the stability of the tunnel based on a visual evaluation model and obtain a second evaluation result; The second evaluation result is output.
2. The tunnel stability evaluation method based on elastoplastic analysis of cold region soil as claimed in claim 1 is characterized in that: The first evaluation of tunnel stability based on the elastic-plastic analysis of cold-region soil includes: Based on the simplified elastoplastic dynamic model of the non-uniform frost-heaving soil around the tunnel in cold regions, the first evaluation of the tunnel stability is carried out.
3. The tunnel stability evaluation method based on elastoplastic analysis of cold region soil as claimed in claim 1, characterized in that: The generating of a visual evaluation model based on the first evaluation result includes: Content mapping is performed between the first evaluation result and the content mapping map, and a plurality of content trees and respective tree relationships and tree weights of the content trees are determined from the content mapping map; wherein the content tree includes: a tree structure in which all tree nodes attached to the content mapping map are mapped with sub-contents in the first evaluation result; the tree relationship includes: an association relationship between a content tree and other content trees; and the tree weight includes: a weight value of a content tree in a weight value table corresponding to a combination of all content trees; Based on the tree setting rule, each content tree is set on the timeline; wherein the tree setting rule includes: each content tree is set on the timeline in descending order according to the tree weight, and the content tree with the largest tree weight is set at the first position of the timeline; when two adjacent content trees have the same tree relationship, the interval between the two adjacent content trees on the timeline is the first standard interval value; otherwise, the interval between the two adjacent content trees on the timeline is the second standard interval value of the tree weight difference between the two adjacent content trees in the interval value table; the length of the span interval of each content tree on the timeline is the standard length value; Based on the visualization rules, the basic model is visualized and configured according to the timeline after each content tree is set; wherein the visualization rules include: the virtual pointer starts to move from the starting point of the timeline after each content tree is set, and when it moves to the cross-interval, the basic model is controlled to visualize the sub-contents in the first evaluation result of all tree nodes attached to the content tree in the cross-interval moved to; The basic model after the visualization configuration is completed is used as the visualization evaluation model.
4. The tunnel stability evaluation method based on elastoplastic analysis of cold region soil as claimed in claim 2, characterized in that: The guiding and interactively assisting the user to perform a second evaluation on the stability of the tunnel based on the visual evaluation model includes: Provide guidance and prompts to users; When the user confirms the guidance, a visual evaluation model is displayed to the user; Extract features of the interactive information generated by the user's interaction with the visual evaluation model within the target time interval to obtain multiple interactive features; Matching each interaction feature with a plurality of standard interaction features respectively; Determining target auxiliary knowledge from an auxiliary knowledge base; the target auxiliary knowledge is indicated most by each standard interaction feature that matches at least one interaction feature in the auxiliary knowledge base; Analyze the target auxiliary knowledge to obtain multiple auxiliary rules and the priority of each auxiliary rule; Execute each auxiliary rule in order from the highest priority to the lowest priority to assist the user in interacting with the visual evaluation model in the future; each time an auxiliary rule is executed, when the user confirms the auxiliary rule executed this time, the next auxiliary rule is executed; The starting time of the target time interval is the time when the virtual pointer moves to a new cross-interval after passing through N cross-intervals, and the ending time of the target time interval is the time when the user's last active operation of the visualization evaluation model ends before the virtual pointer moves to the end point of the new cross-interval; N is a positive integer; or, The starting time of the target time interval is the time when the user starts to perform a passive operation visualization evaluation model, and the ending time of the target time interval is the time when the user ends the passive operation visualization evaluation model.
5. The tunnel stability evaluation method based on elastoplastic analysis of cold region soil as claimed in claim 1, characterized in that: The outputting of the second evaluation result comprises: The second evaluation result is displayed to the evaluation result requester.
6. A tunnel stability evaluation system based on elastic-plastic analysis of cold-region soil, characterized in that: include: A first evaluation module is used to perform a first evaluation on the stability of the tunnel based on the elastic-plastic analysis of the cold region soil and obtain a first evaluation result; A generating module, used for generating a visual evaluation model based on the first evaluation result; A second evaluation module is used to guide and interactively assist the user to perform a second evaluation on the stability of the tunnel based on the visual evaluation model and obtain a second evaluation result; The output module is used to output the second evaluation result.
7. The tunnel stability evaluation system based on cold region soil elastoplastic analysis according to claim 6 is characterized in that: The first evaluation module performs a first evaluation on the stability of the tunnel based on the elastic-plastic analysis of cold-region soil, including: Based on the simplified elastoplastic dynamic model of the non-uniform frost-heaving soil around the tunnel in cold regions, the first evaluation of the tunnel stability is carried out.
8. The tunnel stability evaluation system based on cold region soil elastoplastic analysis according to claim 6 is characterized in that: The generating module generates a visual evaluation model based on the first evaluation result, including: Content mapping is performed between the first evaluation result and the content mapping map, and a plurality of content trees and respective tree relationships and tree weights of the content trees are determined from the content mapping map; wherein the content tree includes: a tree structure in which all tree nodes attached to the content mapping map are mapped with sub-contents in the first evaluation result; the tree relationship includes: an association relationship between a content tree and other content trees; and the tree weight includes: a weight value of a content tree in a weight value table corresponding to a combination of all content trees; Based on the tree setting rule, each content tree is set on the timeline; wherein the tree setting rule includes: each content tree is set on the timeline in descending order according to the tree weight, and the content tree with the largest tree weight is set at the first position of the timeline; when two adjacent content trees have the same tree relationship, the interval between the two adjacent content trees on the timeline is the first standard interval value; otherwise, the interval between the two adjacent content trees on the timeline is the second standard interval value of the tree weight difference between the two adjacent content trees in the interval value table; the length of the span interval of each content tree on the timeline is the standard length value; Based on the visualization rules, the basic model is visualized and configured according to the timeline after each content tree is set; wherein the visualization rules include: the virtual pointer starts to move from the starting point of the timeline after each content tree is set, and when it moves to the cross-interval, the basic model is controlled to visualize the sub-contents in the first evaluation result of all tree nodes attached to the content tree in the cross-interval moved to; The basic model after the visualization configuration is completed is used as the visualization evaluation model.
9. The tunnel stability evaluation system based on cold region soil elastoplastic analysis according to claim 8, characterized in that: The second evaluation module guides and interactively assists the user to perform a second evaluation on the stability of the tunnel based on the visual evaluation model, including: Provide guidance and prompts to users; When the user confirms the guidance, a visual evaluation model is displayed to the user; Extract features of the interactive information generated by the user's interaction with the visual evaluation model within the target time interval to obtain multiple interactive features; Matching each interaction feature with a plurality of standard interaction features respectively; Determining target auxiliary knowledge from an auxiliary knowledge base; the target auxiliary knowledge is indicated most by each standard interaction feature that matches at least one interaction feature in the auxiliary knowledge base; Analyze the target auxiliary knowledge to obtain multiple auxiliary rules and the priority of each auxiliary rule; Execute each auxiliary rule in order from the highest priority to the lowest priority to assist the user in interacting with the visual evaluation model in the future; each time an auxiliary rule is executed, when the user confirms the auxiliary rule executed this time, the next auxiliary rule is executed; The starting time of the target time interval is the time when the virtual pointer moves to a new cross-interval after passing through N cross-intervals, and the ending time of the target time interval is the time when the user's last active operation of the visualization evaluation model ends before the virtual pointer moves to the end point of the new cross-interval; N is a positive integer; or, The starting time of the target time interval is the time when the user starts to perform a passive operation visualization evaluation model, and the ending time of the target time interval is the time when the user ends the passive operation visualization evaluation model.
10. The tunnel stability evaluation system based on cold region soil elastoplastic analysis according to claim 6, characterized in that: The output module outputs the second evaluation result, including: The second evaluation result is displayed to the evaluation result requester.
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