Method for calculating fortified length of cross section expanded section of strike-slip fault tunnel and related equipment

Abstract

According to the method for calculating the fortified length of the cross section expanded section of the strike-slip fault tunnel and the related equipment provided by the invention, through fitting processing of the axes of the tunnels on the two sides after fault dislocation, accurate quantitative characterization of the axis form after dislocation is realized, and basic data support fitting an actual engineering scene is provided for fortified length calculation. The section expanding sections are symmetrically arranged in an extending mode with the section face as the center, full-coverage protection of a fault dislocation influence area is guaranteed, and the problem that local protection is lost possibly due to single-side fortification is avoided. The calculation logic combining the axis fitting and the clearance requirement breaks through the limitation that an existing engineering category method depends on experience judgment, quantitative calculation of the fortification length is achieved, it is guaranteed that the anti-dislocation performance of the tunnel meets the clearance requirement, construction cost waste caused by the too large fortification length can be avoided, and the method is suitable for popularization and application. And a foundation is laid for smooth fitting of a post-earthquake tunnel axis and rapid recovery of functions.

Description

Technical Field

[0001] This invention relates to the field of tunnel engineering technology, specifically to a method and related equipment for calculating the fortification length of the enlarged section of a tunnel crossing a strike-slip fault. Background Technology

[0002] When highway and railway tunnels are constructed or planned in areas of strong tectonic activity, many long tunnels inevitably traverse active faults. Past earthquake damage data for tunnels crossing active faults show that fault displacement can lead to severe damage to the tunnel lining, axis shift, and traffic disruption, posing a significant threat to the safe operation of the tunnel. The displacement of strike-slip faults is horizontal. For traffic tunnels crossing strike-slip faults, after fault displacement, the tunnel axis on both sides of the fault will shift horizontally. Simultaneously, the tunnel cross-sectional clearance in the affected area decreases, and the lining is damaged, leading to tunnel shutdown. For seismic design of tunnels crossing active faults, the current main technologies adopted are "uniform cross-sectional enlargement" and "flexible lining connection." "Uniform cross-sectional enlargement" involves uniformly enlarging the tunnel cross-sectional clearance within the design length to reserve space for displacement deformation, ensuring the required tunnel cross-sectional clearance after fault displacement. The main purpose of "flexible lining connection" is to enhance the lining's ability to adapt to deformation and reduce the degree of damage to the tunnel lining in the affected area of ​​fault displacement.

[0003] Because the design length of the tunnel's "cross-section enlargement" section directly affects the tunnel's resistance to faulting and the cost of construction, it is one of the most important design parameters. However, currently, the determination of the design length of the tunnel's "cross-section enlargement" section mainly adopts the engineering category method, rather than a quantitative calculation method. The engineering category method cannot reflect the actual characteristics of the tunnel and the fault, and is prone to resulting in an excessively large or small design length. When the design length of the tunnel's cross-section enlargement section is too large, the difficulty and cost of tunnel construction will increase significantly. Conversely, when the design length of the tunnel's cross-section enlargement section is too small, after fault displacement, the tunnel axis cannot be successfully fitted, and the cross-sectional clearance cannot meet the requirements; a large-scale replacement of the tunnel lining is required to meet the requirements for axis fitting and tunnel clearance, resulting in a difficult, time-consuming, and costly tunnel repair.

[0004] In other words, how to propose a method for calculating the design length of the expanded section of a traffic tunnel crossing a strike-slip fault, reflecting the actual characteristics of the traffic tunnel and the strike-slip fault, so that the tunnel axis can be successfully fitted within the design length after the fault shifts, and the tunnel clearance requirements are met, and the tunnel function can be quickly restored, is a technical problem that urgently needs to be solved by those skilled in the art. Summary of the Invention

[0005] This invention provides a method for calculating the fortification length of the enlarged section of a tunnel crossing a strike-slip fault and related equipment, in order to solve at least one of the above-mentioned technical problems.

[0006] In a first aspect, this application provides a method for calculating the fortification length of the enlarged section of a tunnel crossing a strike-slip fault, the method comprising: The tunnel axes on both sides of the fault plane after the strike-slip fault displacement are fitted to form a tunnel axis fitting line; The design length of the enlarged section is calculated based on the tunnel axis fitting line and the tunnel clearance requirement. The section enlargement is formed by extending symmetrically to both sides along the tunnel axis, with the fault plane of the strike-slip fault through which the tunnel passes as the center. The fortification length is the total length of the section enlargement along the tunnel axis.

[0007] Optionally, the calculation of the fortification length of the enlarged section based on the fitted line of the tunnel axis and the clearance requirement includes: Determine the fitting parameters of the tunnel axis fitting line and the key parameters for anti-slip design of the strike-slip fault tunnel; The design length of the cross-section enlargement section is calculated based on the fitting parameters and the key parameters of the anti-fault design.

[0008] Optionally, the specific structure of the tunnel axis fitting line is as follows: it is formed by smoothly connecting a circular curve segment, a straight line segment, and a reverse circular curve segment in sequence; wherein, the radius of curvature of the circular curve segment and the reverse circular curve segment are equal in size and the length of the line segment are equal, and the straight line segment is tangent to the circular curve segment and the reverse circular curve segment respectively.

[0009] Optionally, calculating the fortification length of the cross-section enlargement segment based on the fitting parameters and the key parameters of the anti-fault design includes: Calculate the horizontal deflection displacement of the circular curve segment or the reverse circular curve segment based on the fitting parameters and the key parameters of the anti-fault design; Calculate the included angle between the straight section and the tunnel axis based on the horizontal deflection displacement; The design length of the expanded section is calculated based on the horizontal deflection displacement, the included shaft angle, and the key parameters of the anti-fault design.

[0010] Optionally, the fitting parameters include: the radius of curvature R of the circular curve segment or the reverse circular curve segment, and the length L of the clamping straight line segment. s ; The key parameters for the anti-slip design include: the tunnel cross-section clearance diameter D, the slippage amount d of the strike-slip fault, and the angle θ between the fault plane and the tunnel axis.

[0011] Optionally, the formula for calculating the horizontal deflection displacement d1 is: ; The formula for calculating the included angle β of the clamping axis is: ; The formula for calculating the fortification length L of the enlarged section is: .

[0012] Optionally, the tunnel cross-section of the enlarged section has an elliptical structure, and the cross-section enlargement at the arch waist of the enlarged section is half of the strike-slip fault's designed displacement. The cross-section enlargement gradually decreases linearly from the arch waist towards the arch crown or arch bottom, until the cross-section enlargement at the arch bottom and arch crown is reduced to zero.

[0013] Secondly, this application provides a device for calculating the fortification length of the enlarged section of a tunnel crossing a strike-slip fault, the device comprising: The fitting unit is used to fit the tunnel axis on both sides of the fault plane after the strike-slip fault has shifted, forming a tunnel axis fitting line; The calculation unit is used to calculate the fortification length of the cross-section enlargement section based on the tunnel axis fitting line and the tunnel clearance requirement; The section enlargement is formed by extending symmetrically to both sides along the tunnel axis, with the fault plane of the strike-slip fault through which the tunnel passes as the center.

[0014] Thirdly, this application also provides an electronic device, including: a memory, a processor, and a computer program stored in the memory and executable on the processor, characterized in that the processor executes the computer program stored in the memory to implement the method for calculating the fortification length of the enlarged section of a tunnel crossing a strike-slip fault as described in the first aspect.

[0015] Fourthly, this application also provides a computer-readable storage medium having a computer program stored thereon, characterized in that: when the computer program is executed by a processor, it implements the method for calculating the fortification length of the enlarged section of a tunnel crossing a strike-slip fault as described in the first aspect.

[0016] This invention achieves precise quantitative characterization of the axial shape of tunnels after fault displacement by fitting the axes of both sides, providing fundamental data support for calculating the design length in a way that fits actual engineering scenarios. By symmetrically extending the cross-section expansion section centered on the fault plane, full coverage protection of the fault displacement-affected area is ensured, avoiding the problem of local protection gaps that may result from unilateral design. The calculation logic that combines axis fitting with clearance requirements breaks through the limitations of existing engineering category methods that rely on experience-based judgment, enabling quantitative calculation of the design length. This ensures that the tunnel's resistance to fault displacement meets clearance requirements while avoiding the waste of construction costs caused by excessive design length, laying the foundation for successful fitting of the tunnel axis and rapid functional recovery after an earthquake. Attached Figure Description

[0017] To more clearly illustrate the technical solutions in the embodiments of this specification or the prior art, the drawings used in the embodiments will be briefly introduced below. Obviously, the drawings described below are only some embodiments of the present invention. For those skilled in the art, other drawings can be obtained based on these drawings without creative effort.

[0018] Figure 1 A flowchart illustrating a method for calculating the fortification length of an enlarged section of a tunnel crossing a strike-slip fault, as provided in this application. Figure 2 This is a top-view schematic diagram of the tunnel section before the strike-slip fault displacement provided in this application; Figure 3 This is a top-view schematic diagram of the tunnel cross-section after the strike-slip fault displacement provided in this application; Figure 4 This is a schematic diagram of the fitting line of the tunnel axis after the strike-slip fault displacement provided in this application; Figure 5 This is another schematic diagram of the fitting line of the tunnel axis after the strike-slip fault displacement provided in this application; Figure 6 This is a schematic diagram of the non-uniformly enlarged section of the tunnel cross-section provided in this application; Figure 7 A schematic diagram of a structure for calculating the fortification length of an enlarged section of a tunnel crossing a strike-slip fault, as provided in this application; Figure 8 A schematic diagram of the structure of the electronic device provided in this application; Figure 9 A schematic diagram of a structure of a computer-readable storage medium provided in this application.

[0019] Figure label: 1. Fault plane; 2. Tunnel axis; 3. Normal tunnel cross-section outline; 4. Cross-section enlargement section outline; 5. Tunnel axis fitting line; 51. Circular curve section; 52. Straight line section; 53. Reverse circular curve section. Detailed Implementation

[0020] This application provides a method and related equipment for calculating the fortification length of the enlarged section of a tunnel crossing a strike-slip fault, in order to solve at least one of the above-mentioned technical problems.

[0021] The technical solutions of the embodiments of this application will be clearly and completely described below with reference to the accompanying drawings. Obviously, the described embodiments are only some embodiments of this application, and not all embodiments. Based on the embodiments of this application, all other embodiments obtained by those skilled in the art without creative effort are within the scope of protection of this application.

[0022] The terms "first," "second," etc., used in the specification, claims, and accompanying drawings of this application are used to distinguish similar objects and are not necessarily used to describe a specific order or sequence. It should be understood that such data can be interchanged where appropriate so that the embodiments described herein can be implemented in a sequence other than that illustrated or described herein. Furthermore, the terms "comprising" and "having," and any variations thereof, are intended to cover non-exclusive inclusion; for example, a process, method, system, product, or device that includes a series of steps or modules is not necessarily limited to those explicitly listed, but may include other steps or modules not explicitly listed or inherent to such processes, methods, products, or devices. The naming or numbering of steps appearing in this application does not imply that the steps in the method flow must be performed in the chronological / logical order indicated by the naming or numbering. The execution order of named or numbered process steps can be changed according to the desired technical purpose, as long as the same or similar technical effect is achieved.

[0023] The module division described in this application is a logical division. In practical applications, there may be other division methods. For example, multiple modules may be combined or integrated into another system, or some features may be ignored or not executed. In addition, the coupling or direct coupling or communication connection between modules shown or discussed may be through some interfaces, and the indirect coupling or communication connection between modules may be electrical or other similar forms, none of which are limited in this application. Furthermore, the modules or sub-modules described as separate components may or may not be physically separated, may or may not be physical modules, or may be distributed in multiple circuit modules. Some or all of the modules may be selected to achieve the purpose of the solution in this application according to actual needs.

[0024] Next, please refer to Figure 1-6 , Figure 1 This is a flowchart illustrating a method for calculating the fortification length of an enlarged section of a tunnel crossing a strike-slip fault, as described in an embodiment of the present invention. As an example of the method for calculating the fortification length of an enlarged section of a tunnel crossing a strike-slip fault provided by the present invention, the method includes the following steps S110 to S120: Step S110: Fit the tunnel axis on both sides of the fault plane after the strike-slip fault displacement to form the tunnel axis fitting line; Specifically, by fitting the tunnel axes on both sides after fault displacement, a precise quantitative characterization of the axis shape after displacement was achieved, providing basic data support for the calculation of the fortification length that fits the actual engineering scenario.

[0025] The tunnel involved in this application is a traffic tunnel.

[0026] As a feasible approach, such as Figure 4 As shown, the specific structure of the tunnel axis fitting line is as follows: it is formed by smoothly connecting circular curve segments, straight line segments, and reverse circular curve segments in sequence; wherein, the radius of curvature of the circular curve segments and the reverse circular curve segments are equal in size and the length of the curve segments are equal, and the straight line segments are tangent to the circular curve segments and the reverse circular curve segments respectively.

[0027] Specifically, the symmetrical fitting line design of "circular curve segment – ​​straight section – reverse circular curve segment" perfectly matches the symmetrical deflection characteristics of the tunnel axes on both sides after the strike-slip fault displacement, achieving a smooth transition fitting of the displacement axis and ensuring the smoothness of tunnel driving after the earthquake. The equal curvature radius and length of the circular curve segment and the reverse circular curve segment simplify the selection and calculation process of fitting parameters, reducing design difficulty. The tangential connection between the straight section and the two curve segments avoids abrupt inflection points in the fitted line, reducing bumps and safety hazards during vehicle travel. Simultaneously, this symmetrical structure facilitates the subsequent symmetrical allocation calculation of the fortification length, further improving the rationality and feasibility of the fortification scheme.

[0028] As a feasible approach, such as Figure 6 As shown, the tunnel cross-section of the enlarged section has an elliptical structure. The cross-sectional enlargement at the arch waist of the enlarged section is half of the designed displacement of the strike-slip fault. The cross-sectional enlargement gradually decreases linearly from the arch waist towards the arch crown or arch bottom, and the cross-sectional enlargement at the arch bottom and arch crown is reduced to zero. The cross-sectional enlargement is the lateral distance between the sidewall of the cross-section of the enlarged section and the sidewall of the adjacent normal section of the tunnel.

[0029] Specifically, an elliptical cross-section structure and non-uniform enlargement design were adopted to specifically match the stress characteristics of horizontal slippage of the strike-slip fault. Enlargement was prioritized at the arch waist to ensure clearance requirements after horizontal slippage, while the arch crown and base remained unenlarged, effectively reducing unnecessary excavation. Compared to existing uniform enlargement technologies, this significantly reduced tunnel construction costs. The design of progressively decreasing cross-sectional enlargement from the arch waist to the arch crown / base ensured a smooth transition in cross-sectional dimensions, avoiding stress concentration problems caused by abrupt changes in cross-section and improving the stability of the tunnel lining structure. The arch waist enlargement was set at half the designed slippage amount, precisely matching the slippage deformation space requirements. This maximized control of the excavation scale while ensuring slippage resistance, balancing safety and economy.

[0030] Step S120: Calculate the fortification length of the enlarged section based on the tunnel axis fitting line and the tunnel clearance requirement; The section enlargement is formed by extending symmetrically to both sides along the tunnel axis, with the fault plane of the strike-slip fault through which the tunnel passes as the center. The design length is the total length of the section enlargement along the tunnel axis.

[0031] Specifically, symmetrically extending sections around the fault plane ensured full coverage protection of the fault slip-affected area, avoiding the potential for localized protection gaps caused by unilateral fortification. The calculation logic combining axis fitting with clearance requirements broke through the limitations of existing engineering category methods that rely on experience-based judgments, enabling quantitative calculation of the fortification length. This ensured that the tunnel's resistance to slip met clearance requirements while avoiding excessive construction costs due to excessive fortification length, laying the foundation for successful post-earthquake tunnel axis fitting and rapid functional recovery.

[0032] As one feasible approach, the calculation of the fortification length of the expanded section based on the tunnel axis fitting line and clearance requirements involved in step S120 above specifically includes the following sub-steps S121 to S122: S121. Determine the fitting parameters of the tunnel axis fitting line and the key parameters for anti-slip design of strike-slip fault tunnels. As one possible approach, the fitting parameters include: the radius of curvature R of the circular curve segment or the inverse circular curve segment, and the length L of the segment enclosing the straight line. s The fitting parameters were determined based on the "Highway Route Design Specifications" and "Highway Tunnel Design Specifications," while also taking into account the characteristics of the tunnel and fault, design speed, and the difficulty of post-earthquake repair.

[0033] Key parameters for anti-slip design include: the tunnel cross-section clearance diameter D, the slippage amount d of the strike-slip fault, and the angle θ between the fault plane and the tunnel axis.

[0034] Specifically, by clearly defining the fitting parameters and key parameters for anti-fault design, the calculation variables are made clearer and more explicit, avoiding ambiguity and arbitrariness in parameter selection and improving the standardization and repeatability of the calculation method. The explicit definition of the design fault displacement d and the included angle θ ensures the uniformity and accuracy of parameter values, reducing differences in parameter selection due to misunderstandings among different technical personnel. The selected parameters are all core basic parameters in tunnel engineering and fault investigation, easily obtained through field investigation or standard references, lowering the application threshold of the calculation method. At the same time, they comprehensively cover the key factors affecting the design length, ensuring the comprehensiveness and reliability of the calculation results.

[0035] S122. Calculate the design length of the expanded section based on the fitting parameters and key parameters of the anti-fault design.

[0036] As one feasible approach, the calculation of the fortification length of the cross-section enlargement segment based on the fitting parameters and key parameters of the anti-fault design involved in the above sub-step S122 specifically includes the following: Calculate the horizontal deflection displacement of the circular curve segment or the reverse circular curve segment based on the fitting parameters and key parameters of the anti-fault design; Calculate the included angle between the straight section and the tunnel axis based on the horizontal deflection displacement; The design length of the expanded section is calculated based on the horizontal deflection displacement, the included shaft angle, and the key parameters of the anti-fault design.

[0037] Specifically, by employing a progressive logic of calculating horizontal deflection displacement and the included axis angle step by step, and then deriving the design length, the complex fault resistance calculation process is broken down, improving the traceability and verifiability of the calculation process and facilitating verification of the calculation results by engineers. The accurate calculation of horizontal deflection displacement captures the core impact of fault displacement on the axis, while the derivation of the included axis angle establishes a bridge between the displacement displacement and the change in alignment. Both provide key intermediate parameters for the accurate calculation of the design length. This step-by-step calculation method avoids the accumulation of errors that may result from direct calculation, ensuring the accuracy of the final design length calculation result. It can accurately match the axis fitting and clearance requirements, guaranteeing the rapid restoration of tunnel function after fault displacement.

[0038] As one feasible method, the formula for calculating the horizontal deflection displacement d1 is: ; The formula for calculating the included angle β is: ; The formula for calculating the fortification length L of the enlarged section is: .

[0039] In particular, considering the angle θ between the fault plane and the tunnel axis, it is necessary to increase the axial design length. When θ is 90°, that is, when the fault plane is perpendicular to the tunnel axis, Equal to 0, Figure 4 For the case where θ is not 90°, Figure 5 This is for the case where θ is 90°. By incorporating the relationship between the fault displacement d and the included angle θ, the influence of different fault displacement characteristics on the design length can be accurately reflected, making the calculation results more consistent with engineering realities. The design length formula comprehensively considers core factors such as clearance requirements, displacement, and alignment parameters, ensuring that the calculated design length can simultaneously meet the dual requirements of smooth axis fitting and clearance guarantee. This provides a precise quantitative basis for tunnel anti-displacement design, avoids the problems of insufficient or excessive design, and effectively controls engineering costs.

[0040] Next, we will take a highway tunnel as an example for a detailed explanation.

[0041] A highway tunnel has a design service life of 100 years and a design speed of 100 km / h. The tunnel has a circular cross-section with a normal cross-sectional clearance diameter D of 12.5 m. The tunnel crosses an active strike-slip fault with an angle θ of 75° between the tunnel axis and the fault, and a fault fracture zone width W of 70 m. Within the tunnel's design service life, the probability of fault displacement is high, with a designed displacement of 70 cm. After fault displacement, the tunnel axis will shift; simultaneously, the tunnel lining in the affected area will suffer severe damage, and the clearance will decrease, failing to meet the tunnel's functional requirements. Therefore, seismic design is required for the section of the highway tunnel crossing the strike-slip fault. Considering the requirements for fitting the tunnel axis and maintaining clearance after fault displacement, a tunnel cross-section enlargement scheme is adopted for the seismic fortification section. Specifically, an enlarged cross-section is constructed centered on the fault, and the length of this enlarged section is calculated according to the following steps.

[0042] (1) The tunnel cross-section enlargement section is symmetrically distributed on both sides of the tunnel axis with the fault plane as the center. Considering that the design displacement d of the strike-slip fault is 70cm within the tunnel's design service life of 100 years, the cross-section enlargement at the two arch waists of the tunnel within the design section is determined to be half of the fault displacement, i.e., 35cm. Since the displacement of the strike-slip fault is horizontal, the cross-section at the tunnel crown and crown does not enlarge. The cross-section enlargement gradually decreases from the arch waist to the crown (bottom), forming a circular arc surface. Finally, the cross-sectional shape of the tunnel in the design section is elliptical.

[0043] (2) After the fault shifts, the tunnel axes on both sides of the fault will be relatively deflected. The tunnel axes need to be refitted within the design length to meet the requirements of vehicle travel. Considering the vehicle speed of the highway tunnel and the difficulty of tunnel repair after the earthquake, the tunnel axis within the design length is fitted as a line shape of "circular curve segment - straight line segment - reverse circular curve segment". The radius of curvature and length of the circular curve segment and the reverse circular curve segment are equal.

[0044] (3) Based on the "Specifications for Highway Route Design" and "Specifications for Highway Tunnel Design", and considering the characteristics of the tunnel and the fault, the design speed, and the difficulty of post-earthquake repair, the radius of curvature R of the circular curve and the reverse circular curve is determined to be 5000m, and the length L of the straight section is determined to be 5000m. s It is 60m.

[0045] (4) Based on the radius of curvature R and the length L of the straight line segment s The fault-prevention displacement d is calculated using the formula for horizontal deflection displacement d1, and the horizontal deflection displacement d1 of the circular curve segment is approximately 0.13m.

[0046] (5) Based on the horizontal deflection displacement d1 of the circular curve, the fault-prevention displacement d, and the length L of the straight line between them.s The calculated angle β between the straight line and the designed tunnel axis is approximately 42 degrees.

[0047] (6) Based on the tunnel cross section diameter D, the fault fortification displacement d, the angle θ between the tunnel axis and the strike-slip fault, the horizontal deflection displacement d1 of the circular curve, the angle β between the straight section and the designed tunnel axis, and the length L of the straight section. s The design length L of the expanded section is approximately 136m, calculated using the following formula.

[0048] (7) According to the calculation, when the fault displacement does not exceed the design displacement (70cm), the tunnel axis can be successfully fitted into a “circular curve-straight line-reverse circular curve” within the design length of 136m. The alignment and tunnel clearance both meet the traffic requirements.

[0049] As can be seen from the above embodiments, the method for calculating the fortification length of the expanded section of a traffic tunnel crossing a strike-slip fault according to the present invention can successfully fit the tunnel axis within the fortification length after the strike-slip fault shifts, and both the axis and the tunnel clearance can meet the traffic requirements. There is no need to replace the tunnel lining on a large scale, and the tunnel function can be quickly restored after the earthquake.

[0050] Furthermore, compared with existing technologies, the calculation method provided in this application has the following technical advantages: (1) The calculation method can reflect the actual characteristics of tunnels and faults. The calculation process is simple and the parameters are easy to obtain. It can realize the quantitative calculation of the design length, which makes up for the shortcomings of the engineering category method, such as the complexity of the process and the difficulty in quantitatively calculating the design length.

[0051] (2) Within the design length, the tunnel cross section adopts non-uniform expansion, which not only meets the tunnel clearance requirements, but also reduces the amount of excavation compared with the "uniform expansion" technology, thus saving tunnel construction costs.

[0052] (3) After the fault shifts, the present invention does not require extensive replacement of the tunnel lining, and can fit the tunnel axis within the design length. The post-earthquake repair is easy, efficient and cost-effective.

[0053] The following describes an embodiment of the device for calculating the fortification length of the enlarged section of a tunnel crossing a strike-slip fault, as described in this invention.

[0054] Please see Figure 7 , Figure 7 This is a schematic diagram of an embodiment of the fortification length calculation device for the enlarged section of a tunnel crossing a strike-slip fault according to the present invention. The fortification length calculation device 700 for the enlarged section of a tunnel crossing a strike-slip fault includes: Fitting unit 701 is used to fit the tunnel axis on both sides of the fault plane after the strike-slip fault is displaced, and form a tunnel axis fitting line; The calculation unit 702 is used to calculate the fortification length of the cross-section enlargement section based on the tunnel axis fitting line and the tunnel clearance requirement; The section with enlarged cross-section is formed by extending symmetrically to both sides along the tunnel axis, with the fault plane of the strike-slip fault through which the tunnel passes as the center.

[0055] Specifically, by dividing the functions of the fitting unit 701 and the calculation unit 702, a modular design for axis fitting and design length calculation is achieved, improving the maintainability and scalability of the device. The fitting unit can automatically complete the fitting process of the axis after misalignment, significantly improving fitting efficiency and accuracy compared to manual fitting, and reducing human error. The calculation unit automatically completes the design length calculation based on the fitting results and clearance requirements, realizing the automation and standardization of the calculation process, avoiding omissions that may occur in manual calculation, and quickly outputting accurate design length results. This provides efficient technical support for tunnel anti-misalignment design and helps improve engineering design efficiency.

[0056] As an exemplary implementation, the computing unit 702 of this application is also used to perform the following steps: Determine the fitting parameters of the tunnel axis fitting line and the key parameters for anti-slip design of strike-slip fault tunnels; The design length of the expanded section is calculated based on the fitting parameters and key parameters of the anti-fault design.

[0057] As an exemplary implementation, the specific structure of the tunnel axis fitting line is as follows: it is formed by smoothly connecting circular curve segments, straight line segments, and reverse circular curve segments in sequence; wherein, the radius of curvature of the circular curve segment and the reverse circular curve segment are equal in size and the length of the line segment are equal, and the straight line segments are tangent to the circular curve segment and the reverse circular curve segment respectively.

[0058] As an exemplary implementation, the computing unit 702 of this application is also used to perform the following steps: Calculate the horizontal deflection displacement of the circular curve segment or the reverse circular curve segment based on the fitting parameters and key parameters of the anti-fault design; Calculate the included angle between the straight section and the tunnel axis based on the horizontal deflection displacement; The design length of the expanded section is calculated based on the horizontal deflection displacement, the included shaft angle, and the key parameters of the anti-fault design.

[0059] As an example implementation, the fitting parameters include: the radius of curvature R of the circular curve segment or the inverse circular curve segment, and the length L of the straight line segment. s ; Key parameters for anti-slip design include: the tunnel cross-section clearance diameter D, the slippage amount d of the strike-slip fault, and the angle θ between the fault plane and the tunnel axis.

[0060] As an example implementation, the formula for calculating the horizontal deflection displacement d1 is: ; The formula for calculating the included angle β is: ; The formula for calculating the fortification length L of the enlarged section is: .

[0061] As an example implementation, the tunnel cross-section of the enlarged section has an elliptical structure. The cross-sectional enlargement Δ at the arch waist of the enlarged section is half of the strike-slip fault's designed displacement d. The cross-sectional enlargement gradually decreases linearly from the arch waist towards the arch crown or arch bottom, and becomes zero at the arch bottom and arch crown. The cross-sectional enlargement is the lateral distance between the sidewall of the enlarged section and the sidewall of the adjacent normal section of the tunnel.

[0062] This invention also provides an electronic device, please refer to [link / reference]. Figure 8 , Figure 8 This is a schematic diagram of an embodiment of an electronic device according to the present invention, including: The system includes a memory 801, a processor 802, and a computer program 803 stored in the memory and executable on the processor. When the processor executes the computer program 803 stored in the memory, it implements the above-mentioned method for calculating the fortification length of the enlarged section of a tunnel crossing a strike-slip fault.

[0063] For ease of explanation, only the parts related to the embodiments of the present invention are shown. For specific technical details not disclosed, please refer to the part on the method for calculating the fortification length of the enlarged section of a tunnel crossing a strike-slip fault according to the embodiments of the present invention. The memory 801 can be used to store a computer program 803, which includes software programs, modules, and data. The processor 802 executes the computer program 803 stored in the memory 801 to perform various functional applications and data processing of the electronic device.

[0064] This invention also provides a computer-readable storage medium; please refer to [link to relevant documentation]. Figure 9 , Figure 9 This is a schematic diagram of an embodiment of a computer-readable storage medium in the present invention. The computer-readable storage medium may store a computer program, which, when executed, includes some or all of the steps of the method for calculating the fortification length of the enlarged section of a tunnel crossing a strike-slip fault as described in the above method embodiments.

[0065] Those skilled in the art will clearly understand that, for the sake of convenience and brevity, the specific working process of the above-described apparatus, electronic equipment, and computer-readable storage medium can be referred to the corresponding process of the method for calculating the fortification length of the enlarged section of the tunnel cross-section through the strike-slip fault in the foregoing method embodiments, and will not be repeated here.

[0066] In the embodiments provided in this application, it should be understood that the disclosed systems and methods can be implemented in other ways. For example, the system embodiments described above are merely illustrative; for instance, the division of units is only a logical functional division, and in actual implementation, there may be other division methods. For example, multiple units or components may be combined or integrated into another system, or some features may be ignored or not executed. Furthermore, the mutual coupling or direct coupling or communication connection shown or discussed may be through some interfaces; the indirect coupling or communication connection between systems or units may be electrical, mechanical, or other forms.

[0067] The units described as separate components may or may not be physically separate. The components shown as units may or may not be physical units; that is, they may be located in one place or distributed across multiple network units. Some or all of the units can be selected to achieve the purpose of this embodiment according to actual needs.

[0068] Furthermore, the functional units in the various embodiments of the present invention can be integrated into one processing unit, or each unit can exist physically separately, or two or more units can be integrated into one unit. The integrated unit can be implemented in hardware or as a software functional unit.

[0069] If the integrated unit is implemented as a software functional unit and sold or used as an independent product, it can be stored in a computer-readable storage medium. Based on this understanding, the technical solution of the present invention, in essence, or the part that contributes to the prior art, or all or part of the technical solution, can be embodied in the form of a software product. This computer software product is stored in a storage medium and includes several instructions to cause a computer device (which may be a personal computer, server, or network device, etc.) to execute all or part of the steps of the methods of the various embodiments of the present invention. The aforementioned storage medium includes various media capable of storing program code, such as USB flash drives, portable hard drives, read-only memory (ROM), random access memory (RAM), magnetic disks, or optical disks.

[0070] The above-described embodiments are only used to illustrate the technical solutions of the present invention, and are not intended to limit it. Although the present invention has been described in detail with reference to the foregoing embodiments, those skilled in the art should understand that modifications can still be made to the technical solutions described in the foregoing embodiments, or equivalent substitutions can be made to some of the technical features. Such modifications or substitutions do not cause the essence of the corresponding technical solutions to deviate from the spirit and scope of the technical solutions of the embodiments of the present invention.

Claims

1. A method for calculating the fortification length of an enlarged section of a tunnel crossing a strike-slip fault, characterized in that, The method includes: The tunnel axes on both sides of the fault plane after the strike-slip fault displacement are fitted to form a tunnel axis fitting line; The design length of the enlarged section is calculated based on the tunnel axis fitting line and the tunnel clearance requirement. The section enlargement is formed by extending symmetrically to both sides along the tunnel axis, with the fault plane of the strike-slip fault through which the tunnel passes as the center. The fortification length is the total length of the section enlargement along the tunnel axis.

2. The method for calculating the fortification length of the enlarged section of a tunnel crossing a strike-slip fault according to claim 1, characterized in that, The calculation of the fortification length of the enlarged section based on the fitted line of the tunnel axis and the clearance requirement includes: Determine the fitting parameters of the tunnel axis fitting line and the key parameters for anti-slip design of the strike-slip fault tunnel; The design length of the cross-section enlargement section is calculated based on the fitting parameters and the key parameters of the anti-fault design.

3. The method for calculating the fortification length of the enlarged section of a tunnel crossing a strike-slip fault according to claim 2, characterized in that: The specific structure of the tunnel axis fitting line is as follows: it is formed by smoothly connecting a circular curve segment, a straight line segment, and a reverse circular curve segment in sequence; wherein, the radius of curvature of the circular curve segment and the reverse circular curve segment are equal in size and the length of the line segment are equal, and the straight line segment is tangent to the circular curve segment and the reverse circular curve segment respectively.

4. The method for calculating the fortification length of the enlarged section of a tunnel crossing a strike-slip fault according to claim 3, characterized in that, The calculation of the fortification length of the cross-section enlargement section based on the fitting parameters and the key parameters of the anti-fault design includes: Calculate the horizontal deflection displacement of the circular curve segment or the reverse circular curve segment based on the fitting parameters and the key parameters of the anti-fault design; Calculate the included angle between the straight section and the tunnel axis based on the horizontal deflection displacement; The design length of the expanded section is calculated based on the horizontal deflection displacement, the included shaft angle, and the key parameters of the anti-fault design.

5. The method for calculating the fortification length of the enlarged section of a tunnel crossing a strike-slip fault according to claim 4, characterized in that: The fitting parameters include: the radius of curvature R of the circular curve segment or the reverse circular curve segment, and the length L of the clamping straight line segment. s ; The key parameters for the anti-slip design include: the tunnel cross-section clearance diameter D, the slippage amount d of the strike-slip fault, and the angle θ between the fault plane and the tunnel axis.

6. The method for calculating the fortification length of the enlarged section of a tunnel crossing a strike-slip fault according to claim 5, characterized in that: The formula for calculating the horizontal deflection displacement d1 is as follows: ； The formula for calculating the included angle β of the clamping axis is: ； The formula for calculating the fortification length L of the enlarged section is: 。 7. The method for calculating the fortification length of the enlarged section of a tunnel crossing a strike-slip fault according to claim 5, characterized in that: The tunnel cross-section of the enlarged section has an elliptical structure. The cross-sectional enlargement at the arch waist of the enlarged section is half of the displacement of the strike-slip fault. The cross-sectional enlargement of the enlarged section gradually decreases linearly from the arch waist to the arch crown or arch bottom, and the cross-sectional enlargement at the arch bottom and arch crown is reduced to zero.

8. A device for calculating the fortification length of an enlarged section of a tunnel crossing a strike-slip fault, characterized in that, The device includes: The fitting unit is used to fit the tunnel axis on both sides of the fault plane after the strike-slip fault has shifted, forming a tunnel axis fitting line; The calculation unit is used to calculate the fortification length of the cross-section enlargement section based on the tunnel axis fitting line and the tunnel clearance requirement; The section enlargement is formed by extending symmetrically to both sides along the tunnel axis, with the fault plane of the strike-slip fault through which the tunnel passes as the center.

9. An electronic device, comprising: A memory, a processor, and a computer program stored in the memory and executable on the processor, characterized in that the processor, when executing the computer program stored in the memory, implements the method for calculating the fortification length of the enlarged section of a tunnel crossing a strike-slip fault as described in any one of claims 1 to 7.

10. A computer-readable storage medium having a computer program stored thereon, characterized in that: When the computer program is executed by the processor, it implements the method for calculating the fortification length of the enlarged section of a tunnel crossing a strike-slip fault as described in any one of claims 1 to 7.

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