A design method of a seismic monitoring and early warning system well for high-speed railway

By constructing the Boltzmann curve and calculating inverse trigonometric functions, the location of the seismic well was determined, solving the problem of inaccurate monitoring data caused by tunnel movement of the seismometer, and ensuring the safety of railway operations.

CN119535539BActive Publication Date: 2025-10-10SOUTHWEST JIAOTONG UNIV +1
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Patent Information

Application Number
CN202411477575.2
Authority / Receiving Office
CN · China
Patent Type
Patents(China)
Current Assignee / Owner
Filing Date
2024-10-22
Publication Date
2025-10-10
Estimated Expiration
2044-10-22

AI Technical Summary

Technical Problem

Long-term crustal movement and slight changes in tunnel structure can cause tunnel displacement, which can lead to movement or tilt of seismometers, inaccurate monitoring data, and impact on railway operation safety.

Method used

By obtaining the distance between the end face and the tunnel entrance and the extreme value of the tunnel displacement during fault slip, the Boltzmann curve expression is constructed, and the slope expression is obtained by differentiation. The critical position of the inclination angle is solved using inverse trigonometric functions. The location of the seismic well is determined by combining the inclination angle and tilt angle under the action of fault slip.

Benefits of technology

The precise setting of the seismic well location solves the problem of inaccurate monitoring data caused by tunnel movement of the seismometer, ensuring the safety of railway operations.

✦ Generated by Eureka AI based on patent content.

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Abstract

The application provides a high-speed railway earthquake monitoring and early warning system seismic well design method, and relates to the technical field of railway earthquake monitoring. The application comprises the following steps: obtaining a Boltzmann curve expression; deriving the Boltzmann curve expression to obtain a slope expression of the Boltzmann curve; solving the slope expression of the Boltzmann curve based on a preset inverse trigonometric function to obtain an inclination critical position expression under the action of fault dislocation; solving the inclination critical position expression under the action of fault dislocation and a preset fault disc inclination angle to obtain an influence distance under the action of fault dislocation; and setting the position of the seismic well according to the influence distance under the action of fault dislocation. The application solves the problem that long-term crust movement and small changes in the tunnel structure cause the tunnel to dislocate, the seismograph to move or tilt, and the seismograph monitoring data to be inaccurate, thereby ensuring the safe operation of the railway.
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Description

Technical Field

[0001] The present invention relates to the technical field of railway earthquake monitoring, and in particular to a method for designing a seismic well for a high-speed railway earthquake monitoring and early warning system. Background Art

[0002] In railway monitoring and early warning technology, seismometers are typically installed along railway lines to monitor and warn of seismic waves. However, due to long-term crustal movement and subtle changes in tunnel structure, tunnels can shift, causing the seismometers to move or tilt, leading to inaccurate seismometer data. Therefore, a method for designing seismic wells for high-speed railway earthquake monitoring and early warning systems is urgently needed. This method addresses the problem of inaccurate seismometer data due to tunnel shifts caused by long-term crustal movement and subtle changes in tunnel structure, thereby ensuring safe railway operations. Summary of the Invention

[0003] The purpose of the present invention is to provide a method for designing seismic wells for a high-speed railway earthquake monitoring and early warning system to improve the above-mentioned problems. To achieve the above-mentioned purpose, the technical solutions adopted by the present invention are as follows:

[0004] In a first aspect, the present application provides a method for designing seismic wells for a high-speed railway earthquake monitoring and early warning system, comprising:

[0005] Obtain the distance between the end face and the tunnel entrance and the extreme value of tunnel displacement during fault movement;

[0006] A Boltzmann curve expression is obtained based on the distance between the end face and the tunnel entrance, the tunnel displacement extreme value during the fault movement, and the midpoint of the preset monitoring area;

[0007] Derivative the Boltzmann curve expression to obtain an expression for the slope of the Boltzmann curve;

[0008] Solving the slope expression of the Boltzmann curve based on a preset inverse trigonometric function to obtain an expression for the critical position of the dip angle under the action of fault dislocation;

[0009] Solve the critical position expression of the dip angle under the fault dislocation and the preset fault disk tilt angle to obtain the influence distance under the fault dislocation;

[0010] The position of the seismic well is set according to the influence distance under the effect of the fault dislocation.

[0011] The beneficial effects of the present invention are:

[0012] The present invention introduces the slope expression of the Boltzmann curve, calculates the tunnel displacement information by using the slope expression of the Boltzmann curve and the inverse trigonometric function, and obtains the critical position expression of the inclination angle under the action of fault dislocation. According to the critical position expression of the inclination angle under the action of fault dislocation and the tilt angle of the fault disk, the influence distance under the action of fault dislocation is obtained. The monitoring and early warning system is set according to the influence distance under the action of fault dislocation, thereby solving the problem of inaccurate seismograph monitoring data caused by tunnel dislocation due to long-term crustal movement and slight changes in tunnel structure, which causes the seismometer to move or tilt accordingly.

[0013] Other features and advantages of the present invention will be described in the following description, and in part will become apparent from the description, or be understood by practicing the embodiments of the present invention. The purposes and other advantages of the present invention can be realized and obtained by the structures particularly pointed out in the written description, claims, and drawings. BRIEF DESCRIPTION OF THE DRAWINGS

[0014] In order to more clearly illustrate the technical solutions of the embodiments of the present invention, the following briefly introduces the drawings required for use in the embodiments. It should be understood that the following drawings only illustrate certain embodiments of the present invention and therefore should not be regarded as limiting the scope. For ordinary technicians in this field, other relevant drawings can be obtained based on these drawings without paying any creative work.

[0015] Figure 1 The figure is a flow chart of a method for designing seismic wells for a high-speed railway earthquake monitoring and early warning system according to an embodiment of the present invention. DETAILED DESCRIPTION

[0016] In order to make the purpose, technical solutions and advantages of the embodiments of the present invention clearer, the technical solutions in the embodiments of the present invention will be clearly and completely described below in conjunction with the drawings in the embodiments of the present invention. Obviously, the described embodiments are part of the embodiments of the present invention, not all of the embodiments. The components of the embodiments of the present invention generally described and shown in the drawings herein can be arranged and designed in various different configurations. Therefore, the following detailed description of the embodiments of the present invention provided in the drawings is not intended to limit the scope of the claimed invention, but merely represents selected embodiments of the present invention. Based on the embodiments of the present invention, all other embodiments obtained by ordinary technicians in this field without making creative work are within the scope of protection of the present invention.

[0017] It should be noted that similar reference numerals and letters represent similar items in the following drawings. Therefore, once an item is defined in one drawing, it does not need to be further defined or explained in subsequent drawings. At the same time, in the description of the present invention, the terms "first", "second", etc. are used only to distinguish the description and should not be understood as indicating or implying relative importance.

[0018] Embodiment 1:

[0019] This embodiment provides a method for designing seismic wells for a high-speed railway earthquake monitoring and early warning system.

[0020] See also Figure 1 , the figure shows that the method includes steps S1 to S6, including:

[0021] S1: Obtain the distance between the end face and the tunnel entrance and the extreme value of tunnel displacement during fault movement;

[0022] S2: constructing a Boltzmann curve expression based on the distance between the end face and the tunnel entrance, the tunnel displacement extreme value during the fault movement, and the midpoint of the preset monitoring area;

[0023] In this step, the Boltzmann curve expression is:

[0024]

[0025] In the above formula: y represents the expression of the Boltzmann curve, A1 represents the minimum displacement of the tunnel during the fault slip, A2 represents the maximum displacement of the tunnel during the fault slip, e represents a natural constant, x represents the distance between the end face and the tunnel entrance, x0 represents the midpoint of the monitoring area, and t represents the slope control constant of the curve.

[0026] S3: Derivative the Boltzmann curve expression to obtain a slope expression of the Boltzmann curve;

[0027] In this step, the slope of the Boltzmann curve is expressed as:

[0028]

[0029] In the above formula (2): ′ represents the slope of the Boltzmann curve, A1 represents the minimum displacement of the tunnel during the fault slip, A2 represents the maximum displacement of the tunnel during the fault slip, e represents a natural constant, x represents the distance between the end face and the tunnel entrance, x0 represents the midpoint of the monitoring area, and t represents the slope control constant of the curve.

[0030] S4: Solving the slope expression of the Boltzmann curve based on a preset inverse trigonometric function to obtain an expression for the critical position of the dip angle under the action of fault dislocation;

[0031] In order to clarify the specific method of obtaining the expression of the critical position of the dip angle under the action of fault dislocation, step S4 includes S41 to S46, which are specifically:

[0032] S41: converting the slope of the Boltzmann curve to obtain a calculation formula for the tilt angle of the lining;

[0033] In this step, the calculation formula for the tilt angle of the lining is:

[0034]

[0035] In the above formula (3): Indicates the tilt angle of the lining, y ′ represents the slope of the Boltzmann curve, It represents the coefficient for converting radians into degrees, and arctan represents the inverse tangent function.

[0036] S42: constructing a limit state equation under the tilt angle constraint based on the preset optimal position and the tilt angle calculation formula of the lining;

[0037] In order to clarify the specific method of obtaining the limit state equation under the tilt angle constraint, step S42 includes S421 to S425, which are specifically:

[0038] S421: Acquire multiple strong motion sensors;

[0039] S422: Arranging a plurality of strong motion sensors at equal intervals within the monitoring area;

[0040] S423: monitoring the angle of each strong motion seismometer during the action of the fault, and obtaining a tilt angle of each strong motion seismometer;

[0041] S424: The tilt angle of each strong motion motion instrument is judged according to a preset tilt threshold value to obtain a judgment result, wherein: if the tilt angle of the strong motion motion instrument is greater than the tilt threshold value, the area is affected by fault movement; if the tilt angle of the strong motion motion instrument is less than or equal to the tilt threshold value, the area is stable;

[0042] Preferably, the tilt threshold is 0.5°.

[0043] S425: Setting a preset seismic well in the stable area to obtain an optimal position of the seismic well.

[0044] S43: constructing a limit state equation under the tilt angle constraint and the slope of the Boltzmann curve to obtain an expression for the slope of the curve under the limit state;

[0045] In this step, the slope expression of the curve under the limit state is:

[0046]

[0047] In the above formula (4): Indicates the slope of the curve at the limit state, y ′ represents the slope of the Boltzmann curve, Indicates the coefficient for converting radians to degrees, arctan represents the inverse tangent function, and 0.5° represents the tilt threshold.

[0048] S44: constructing a Boltzmann function equation according to a preset first-order derivative function equation and a slope expression of the curve under the limit state;

[0049] In this step, the Boltzmann function equation is:

[0050]

[0051] In the above formula (5), A1 represents the minimum displacement of the tunnel during the fault slip process, A2 represents the maximum displacement of the tunnel during the fault slip process, e represents a natural constant, x represents the distance between the end face and the tunnel entrance, x0 represents the midpoint of the monitoring area, t represents the slope control constant of the curve, and 0.0087 represents the slope value of the Boltzmann curve.

[0052] S45: Solving the Boltzmann function equation based on a preset substitution method to obtain a substitution optimization formula;

[0053] To clarify the specific method of obtaining the substitution optimization formula, step S45 includes S451 to S453, which are specifically:

[0054] S451: constructing the Boltzmann function equation based on a preset substitution method to obtain a substitution equation;

[0055] In this step, the substitution equation is:

[0056]

[0057] In the above formula (6), 0.0087 represents the slope value of the Boltzmann curve, A1 represents the minimum tunnel displacement during the fault slip process, A2 represents the maximum tunnel displacement during the fault slip process, u represents the substitution solution, and t represents the slope control constant of the curve.

[0058] S452: Solving the substitution equation based on a preset root-finding formula for a quadratic equation to obtain a substitution solution expression;

[0059] In this step, the substitution solution expression is:

[0060]

[0061] In the above formula (7), u represents a substitution solution, and a, b, and c all represent constants.

[0062] S453: Solving the substitution solution expression based on a preset substitution method to obtain a substitution optimization formula;

[0063] In this step, the substitution optimization formula is:

[0064]

[0065] In the above formula (8), x represents the distance between the end face and the tunnel entrance, x0 represents the midpoint of the monitoring area, t represents the slope control constant of the curve, ln represents the natural logarithm, and u represents the substitution solution.

[0066] S46: Solve the substitution optimization formula based on the preset substitution method to obtain the critical position expression of the dip angle under the action of fault dislocation.

[0067] In this step, the critical position expression of the dip angle under the action of the fault dislocation is:

[0068] x ′ =x0+tlnu (9)

[0069] In the above formula (9): x ′ represents the critical position of the dip angle under the action of fault dislocation, x0 represents the midpoint of the monitoring area, t represents the slope control constant of the curve, ln represents the natural logarithm, and u represents the substitution solution.

[0070] S5: solving the critical position expression of the dip angle under the fault dislocation and the preset fault disk tilt angle to obtain the influence distance under the fault dislocation;

[0071] In order to clarify the specific method of obtaining the influence distance under the action of fault dislocation, step S5 includes S51 to S53, which are specifically:

[0072] S51: solving the tilt angle of the hanging wall of the fault according to the critical position expression of the tilt angle under the action of the fault dislocation to obtain the first fault zone distance;

[0073] In this step, the first fault zone distance is S1. Preferably, the tilt angle of the fault hanging wall is 0.5°.

[0074] S52: solving the tilt angle of the fault footwall according to the critical position expression of the tilt angle under the action of the fault dislocation to obtain the distance of the second fault zone;

[0075] In this step, the distance of the second fault zone is S2. Preferably, the tilt angle of the fault footwall is 0.5°.

[0076] S53: Constructing according to the first fault zone distance and the second fault zone distance to obtain the impact distance under the action of fault dislocation.

[0077] In this step, the impact distance under the fault dislocation action represents the distance from the first fault zone distance S1 to the second fault zone distance S2.

[0078] S6: Setting the position of the seismic well according to the influence distance under the effect of the fault dislocation.

[0079] The foregoing description is merely a preferred embodiment of the present invention and is not intended to limit the present invention. Those skilled in the art will readily appreciate that various modifications and variations of the present invention are possible. Any modifications, equivalent substitutions, or improvements made within the spirit and principles of the present invention shall be included within the scope of protection of the present invention.

[0080] The above description is merely a specific embodiment of the present invention, but the scope of protection of the present invention is not limited thereto. Any modifications or substitutions that can be easily conceived by a person skilled in the art within the technical scope disclosed in the present invention should be included within the scope of protection of the present invention. Therefore, the scope of protection of the present invention should be based on the scope of protection of the claims.

Claims

1. A method for designing seismic wells for a high-speed railway earthquake monitoring and early warning system, characterized in that: include: Obtain the distance between the end face and the tunnel entrance and the extreme value of tunnel displacement during fault movement; A Boltzmann curve expression is obtained based on the distance between the end face and the tunnel entrance, the tunnel displacement extreme value during the fault movement, and the midpoint of the preset monitoring area; Derivative the Boltzmann curve expression to obtain an expression for the slope of the Boltzmann curve; Solving the slope expression of the Boltzmann curve based on a preset inverse trigonometric function to obtain an expression for the critical position of the dip angle under the action of fault dislocation; Solve the critical position expression of the dip angle under the fault dislocation and the preset fault disk tilt angle to obtain the influence distance under the fault dislocation; The position of the seismic well is set according to the influence distance under the effect of the fault dislocation.

2. The method for designing seismic wells for a high-speed railway earthquake monitoring and early warning system according to claim 1, wherein the slope of the Boltzmann curve is expressed as: In the above formula: y ′ represents the slope of the Boltzmann curve, A1 represents the minimum displacement of the tunnel during the fault slip, A2 represents the maximum displacement of the tunnel during the fault slip, e represents a natural constant, x represents the distance between the end face and the tunnel entrance, x0 represents the midpoint of the monitoring area, and t represents the slope control constant of the curve.

3. The method for designing seismic wells for a high-speed railway earthquake monitoring and early warning system according to claim 1, wherein the critical position of the dip angle under the action of fault dislocation is expressed as follows: x ′ =x0+tlnu In the above formula: x ′ represents the critical position of the dip angle under the action of fault dislocation, x0 represents the midpoint of the monitoring area, t represents the slope control constant of the curve, ln represents the natural logarithm, and u represents the substitution solution.

4. The method for designing seismic wells for a high-speed railway earthquake monitoring and early warning system according to claim 1, wherein the slope expression of the Boltzmann curve is solved based on a preset inverse trigonometric function to obtain an expression for the critical position of the dip angle under the action of fault dislocation, including: The slope of the Boltzmann curve is converted to obtain a calculation formula for the tilt angle of the lining; Based on the preset optimal position and the calculation formula of the tilt angle of the lining, a limit state equation under the tilt angle constraint is obtained; Based on the limit state equation under the tilt angle constraint and the slope of the Boltzmann curve, an expression for the slope of the curve under the limit state is obtained; The Boltzmann function equation is obtained by constructing the equation based on the preset first-order derivative function equation and the slope expression of the curve under the limit state; Solving the Boltzmann function equation based on a preset substitution method to obtain a substitution optimization formula; The substitution optimization formula is solved based on the preset substitution method to obtain the critical position expression of the dip angle under the action of fault dislocation.

5. The method for designing seismic wells for a high-speed railway earthquake monitoring and early warning system according to claim 4, wherein the preset optimal position includes: Acquire multiple strong motion motion meters; Arrange a plurality of strong motion sensors at equal intervals within the monitoring area; Based on monitoring the angle of each strong motion seismometer during the action of the fault, the tilt angle of each strong motion seismometer is obtained; The tilt angle of each strong motion seismometer is judged according to a preset tilt threshold to obtain a judgment result, wherein: if the tilt angle of the strong motion seismometer is greater than the tilt threshold, it is in an area disturbed by fault movement; if the tilt angle of the strong motion seismometer is less than or equal to the tilt threshold, it is in a stable area; The preset seismic logging well is set in the stable area to obtain the optimal position of the seismic logging well.

6. The method for designing seismic wells for a high-speed railway earthquake monitoring and early warning system according to claim 4, wherein the Boltzmann function equation is solved based on a preset substitution method to obtain a substitution optimization formula; Constructing the Boltzmann function equation based on a preset substitution method to obtain a substitution equation; Solving the substitution equation based on a preset root-finding formula for a quadratic equation to obtain a substitution solution expression; The substitution solution expression is solved based on a preset substitution method to obtain a substitution optimization formula.

7. The method for designing seismic wells for a high-speed railway earthquake monitoring and early warning system according to claim 6, wherein the substitution solution expression is: In the above formula: u represents the substitution solution, and a, b and c are all constants.

8. The method for designing seismic wells for a high-speed railway earthquake monitoring and early warning system according to claim 4, wherein the lining tilt angle is calculated as follows: In the above formula: Indicates the tilt angle of the lining, y ′ represents the slope of the Boltzmann curve, It represents the coefficient for converting radians into degrees, and arctan represents the inverse tangent function.

9. The method for designing seismic wells for a high-speed railway earthquake monitoring and early warning system according to claim 4, wherein the Boltzmann function equation is: In the above formula: A1 represents the minimum displacement of the tunnel during the fault slip, A2 represents the maximum displacement of the tunnel during the fault slip, e represents a natural constant, x represents the distance between the end face and the tunnel entrance, x0 represents the midpoint of the monitoring area, t represents the slope control constant of the curve, and 0.0087 represents the slope value of the Boltzmann curve.

10. The method for designing seismic wells for a high-speed railway earthquake monitoring and early warning system according to claim 1 is characterized in that the fault disk tilt angle includes the fault hanging wall tilt angle and the fault footwall tilt angle, and the influence distance under the fault dislocation is obtained by solving the critical position expression of the tilt angle under the action of the fault dislocation and the preset fault disk tilt angle, including: Solving the tilt angle of the hanging wall of the fault according to the critical position expression of the tilt angle under the action of the fault dislocation to obtain the distance of the first fault zone; Solving the tilt angle of the fault footwall according to the critical position expression of the tilt angle under the action of the fault dislocation to obtain the distance of the second fault zone; The influence distance under the action of fault dislocation is obtained by constructing the first fault zone distance and the second fault zone distance.

Citation Information

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