Bearing capacity calculation method and system based on super-large-span tunnel ring layer transfer rule

By dividing multi-layer arch belts in super-large span tunnels and building a confocal parabolic family, the total bearing capacity of surrounding rock bearing arches is solved, and the problem of stress transmission laws and bearing capacity calculation of surrounding rocks in special-shaped sections in super-large span tunnels is improved, and the safety and economicality of tunnel projects are improved.

CN120046217AActive Publication Date: 2025-05-27CHINA RAILWAY ENG CONSULTING GRP CO LTD
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Patent Information

Application Number
CN202510057238.6
Authority / Receiving Office
CN · China
Patent Type
Applications(China)
Current Assignee / Owner
Filing Date
2025-01-14
Publication Date
2025-05-27
Estimated Expiration
2045-01-14

AI Technical Summary

Technical Problem

It is difficult for the existing technology to effectively study and calculate the stress transmission rules and bearing capacity of surrounding rocks at special-shaped sections in super-large span tunnels, resulting in the inability to design and construction of tunnel projects based on the self-loading of surrounding rocks.

Method used

By obtaining the excavation height, excavation span and the effective rock mass thickness of the pressure-bearing arch of the super-large span tunnel, it is divided into multiple layers of arch belts with preset thickness, and a confocal parabolic family is constructed to calculate the vault settlement amount under the uniform load of each arch belt, and finally calculate the total bearing capacity of the surrounding rock bearing arch of the tunnel.

Benefits of technology

The self-loading design concept of ultra-large span tunnel surrounding rock has been applied to the self-loading design of ultra-large span tunnels. The calculated bearing capacity can be used to design safer, more reliable and economical support structures, thereby improving the safety and economicality of ultra-large span tunnel projects.

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Abstract

The invention provides a bearing capacity calculation method and system based on a super-large-span tunnel ring layer transfer rule, and relates to the technical field of railway construction.The method comprises the steps that the excavation height and the excavation span of a super-large-span tunnel and the effective rock mass thickness of an arch crown of a pressure-bearing arch are obtained; dividing the effective rock mass of the vault of the pressure-bearing arch into a plurality of layers of arch zones with preset thicknesses; constructing a confocal parabola family based on the arch crown height of each layer of arch belt; the arch crown settlement amount of each layer of arch belt under the action of the uniformly distributed load is obtained; and calculating the total bearing capacity of the tunnel surrounding rock bearing arch based on the confocal parabola family and the vault settlement volume. According to the method, the circle layer stress transfer rule of the super-large-span tunnel is analyzed through the confocal parabola family, the bearing capacity of the surrounding rock is calculated on the basis of the obtained transfer rule, the method is suitable for the design concept of self-bearing of the flat super-large-span tunnel surrounding rock, the calculated bearing capacity can be used for designing a supporting structure which is safer, more reliable, more economical and more applicable, and the construction cost is reduced. Therefore, the safety and the economical efficiency of the super-large-span tunnel engineering are improved.
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Description

Technical Field

[0001] The present invention relates to the technical field of railway construction, and in particular to a method and system for calculating the bearing capacity based on the ring layer transfer law of a super-long-span tunnel. Background Art

[0002] With the development of economy and the increase of traffic demand, the construction of super-long span tunnels has become an important part of modern traffic engineering. Super-long span tunnels have large spans, complex geological conditions and great construction difficulty. Therefore, it is necessary to explore the stress circle transmission law of the surrounding rock of super-long span tunnels and calculate the bearing capacity on this basis to ensure the safety and stability of the tunnel.

[0003] At present, the construction of super-large span tunnels mainly adopts the design concept of tunnel surrounding rock self-bearing, which means using the bearing capacity of the surrounding rock itself to support the tunnel structure and reduce dependence on external support structures, thus helping to improve the safety and economy of super-large span tunnel projects.

[0004] In order to give full play to the self-bearing effect of the surrounding rock of super-large span tunnels and implement the design theory of surrounding rock self-bearing into the design of support system, we should first explore the effects of the surrounding rock of super-large span tunnels, including the tunnel section size magnification effect, surrounding rock defect magnification effect, bearing circle range magnification effect and construction step sensitivity effect, etc. On this basis, we should further explore the transmission law of surrounding rock stress and the formation mechanism of surrounding rock bearing arch during the construction of super-large span tunnels. Under the condition of equal horizontal and vertical ground stresses in a circular tunnel with homogeneous surrounding rock, the tunnel surrounding rock stress will be transmitted outward in a circular shape.

[0005] However, in engineering construction, irregular cross-section surrounding rocks such as flat tunnels often appear. Currently, there are few research programs applicable to the stress transfer law of such irregular cross-section surrounding rocks and the calculation methods of bearing capacity. As a result, it is impossible to design and construct tunnel engineering based on the design theory of surrounding rock self-bearing, and thus it is impossible to further improve the safety and economy of ultra-large span tunnel engineering. Summary of the invention

[0006] The purpose of the present invention is to provide a method and system for calculating the bearing capacity based on the transfer law of the ring layer of a super-long-span tunnel to improve the above-mentioned problem. In order to achieve the above-mentioned purpose, the technical solution adopted by the present invention is as follows:

[0007] In the first aspect, the present application provides a method for calculating the bearing capacity based on the transfer law of the ring layer of a super-long-span tunnel, including:

[0008] Acquiring first information, wherein the first information includes an excavation height and an excavation span of a super-long-span tunnel and an effective rock mass thickness of a crown of a pressure-bearing arch;

[0009] Dividing the effective rock mass of the arch crown of the pressure arch into multiple layers of arch belts with preset thickness based on the first information, to obtain multiple layers of arch belts with preset thickness;

[0010] Constructing a confocal parabola family based on the arch height of each layer of the arch belt to obtain the confocal parabola family, wherein the confocal parabola family includes a plurality of first parabolas with the same focus, and one first parabola corresponds to one layer of the arch belt;

[0011] Acquire second information, where the second information is the settlement of the arch crown of each layer of the arch belt under the action of a uniformly distributed load;

[0012] The total bearing capacity of the tunnel surrounding rock bearing arch is calculated based on the confocal parabola family and the second information to obtain the total bearing capacity of the tunnel surrounding rock bearing arch.

[0013] In the second aspect, the present application also provides a bearing capacity calculation system based on the transmission law of the ring layer of the super-large span tunnel, including:

[0014] A first acquisition module is used to acquire first information, wherein the first information includes an excavation height and an excavation span of a super-long-span tunnel and an effective rock mass thickness of a crown of a pressure-bearing arch;

[0015] A first processing module, configured to divide the effective rock mass of the arch crown of the pressure arch into multiple layers of arch bands with preset thicknesses based on the first information, to obtain multiple layers of the arch bands with preset thicknesses;

[0016] A second processing module is used to construct a confocal parabola family based on the arch height of each layer of the arch band to obtain the confocal parabola family, wherein the confocal parabola family includes a plurality of first parabolas with the same focus, and one first parabola corresponds to one layer of the arch band;

[0017] A second acquisition module is used to acquire second information, where the second information is the settlement of the vault of each layer of the vault belt under the action of a uniformly distributed load;

[0018] The third processing module is used to calculate the total bearing capacity of the tunnel surrounding rock bearing arch based on the confocal parabola family and the second information to obtain the total bearing capacity of the tunnel surrounding rock bearing arch.

[0019] The beneficial effects of the present invention are:

[0020] The present invention analyzes the stress transfer law of the ring layer of the super-large span tunnel through a family of confocal parabolas, and calculates the bearing capacity of the surrounding rock based on the obtained transfer law. It is applicable to the design concept of self-bearing of the surrounding rock of a flat super-large span tunnel. The calculated bearing capacity can be used to design a safer, more reliable and more economical support structure, thereby improving the safety and economy of the super-large span tunnel project.

[0021] Other features and advantages of the present invention will be set forth in the following description, and in part will become apparent from the description, or may be understood by practicing embodiments of the present invention. BRIEF DESCRIPTION OF THE DRAWINGS

[0022] In order to more clearly illustrate the technical solutions of the embodiments of the present invention, the drawings required for use in the embodiments are briefly introduced below. It should be understood that the following drawings only show certain embodiments of the present invention and therefore should not be regarded as limiting the scope. For ordinary technicians in this field, other related drawings can be obtained based on these drawings without creative work.

[0023] Figure 1 It is a schematic flow chart of a method for calculating bearing capacity based on the transfer law of the ring layer of a super-long-span tunnel described in an embodiment of the present invention;

[0024] Figure 2 It is a schematic diagram of the structure of the bearing capacity calculation system based on the transmission law of the ring layer of the super-large span tunnel described in an embodiment of the present invention.

[0025] Markings in the figure: 901, first acquisition module; 902, first processing module; 903, second processing module; 904, second acquisition module; 905, third processing module; 906, third acquisition module; 907, fourth processing module; 9031, first processing unit; 9032, second processing unit; 9033, third processing unit; 9051, fourth processing unit; 9052, fifth processing unit; 9053, sixth processing unit; 9054, seventh processing unit; 90541, first processing submodule; 90542, second processing submodule; 905411, first processing subunit; 905412, second processing subunit. DETAILED DESCRIPTION

[0026] 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, rather than all of the embodiments. The components of the embodiments of the present invention generally described and shown in the drawings here 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 in 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.

[0027] It should be noted that similar reference numerals and letters represent similar items in the following drawings, so once an item is defined in one drawing, it does not need to be further defined and explained in the subsequent drawings. At the same time, in the description of the present invention, the terms "first", "second", etc. are only used to distinguish the description and cannot be understood as indicating or implying relative importance.

[0028] Embodiment 1:

[0029] This embodiment provides a method for calculating the bearing capacity based on the transfer law of the ring layer of a super-long span tunnel.

[0030] See also Figure 1 , the figure shows that the method includes step S1, step S2, step S3, step S4, and step S5.

[0031] S1. Obtaining first information, wherein the first information includes the excavation height, excavation span and effective rock mass thickness of the arch of the super-long-span tunnel, wherein the tunnel excavation height is set to 2m and the excavation span is set to 8m in this embodiment, so as to facilitate the description of the transmission law of the subsequent tunnel ring layer and the calculation of the bearing capacity. When actually applied in tunnel engineering, the first information can be obtained according to the engineering design plan or real-time engineering measurement.

[0032] S2. Based on the first information, the effective rock mass of the vault of the pressure-bearing arch is divided into multiple arch bands with preset thicknesses to obtain multiple arch bands with preset thicknesses, wherein the arch band range is calculated according to the effective rock mass of the vault of the pressure-bearing arch, and the arch band range is divided into multiple arch bands with a thickness of 2 m.

[0033] S3, constructing a confocal parabola family based on the arch height of each layer of the arch band to obtain the confocal parabola family, wherein the confocal parabola family includes a plurality of first parabolas with the same focus, and one first parabola corresponds to one layer of the arch band;

[0034] It can be understood that in this embodiment, the confocal parabola family is used to analyze the ring layer stress transfer law of the shallow-buried flat ultra-large span tunnel, mainly considering the following factors:

[0035] First, in the case of shallow burial, the lateral pressure is small, the arch height of the flat super-large span tunnel is small, and the span is large, so the vertical load effect is significant. It is acceptable within the engineering error range to simplify the vertical load as a uniformly distributed effect and ignore the horizontal load.

[0036] Secondly, rock mass is a material with cracks and joints, and its compressive strength is much higher than its tensile strength. In actual engineering, the tensile effect of rock mass can be ignored, so generally when there is no external support structure, a surrounding rock bearing structure in the form of a reasonable arch axis is formed. Under the action of vertical uniformly distributed load, the reasonable arch axis formed by the rock mass is a parabola, and the span-rise ratio of the parabola is determined by the excavation arch shape and the compressive strength of the rock mass. At the same time, the Pusch collapse arch theory also proves that the arch axis of the natural equilibrium arch formed by the tunnel excavation collapse arch is also a parabola.

[0037] Furthermore, the rock-bearing arch ring layer should be a parallel arch system. If it is an intersecting arch system, the principal stress will have multiple directions at the intersection point, which is not in line with the principles of mechanics. Confocality can ensure that the parabolas of the parabola family do not intersect, thereby avoiding the intersection of stress streamlines during the transmission of the tunnel surrounding rock stress ring layer.

[0038] Therefore, only the confocal arch system meets all the above factors, so this embodiment uses the confocal parabola family to analyze the ring layer stress transfer law of the shallow-buried flat ultra-large span tunnel.

[0039] Specifically, step S3 includes:

[0040] S31, constructing a first equation, wherein the first equation is used to express a family of confocal parabolas;

[0041] S32, calculating a first coefficient based on the arch height of each layer of the arch belt, to obtain a plurality of the first coefficients, wherein one first coefficient corresponds to one layer of the arch belt;

[0042] S33. Calculate the second equation of the first parabola corresponding to each layer of the arch band based on the first coefficient and the first equation corresponding to each layer of the arch band to obtain the confocal parabola family, and the second equation is used to express the first parabola.

[0043] In this embodiment, since the surrounding rock stress of the flat super-large span tunnel diffuses outward according to the confocal parabola family, the equation of the confocal parabola family is constructed to uniformly represent all parabolas in the confocal parabola family. If the focus of the parabola is placed at the origin of the coordinate system, the axis of symmetry is on the y-axis, the intersection of the parabola and the x-axis is used to represent the span of the arch belt, and the intersection of the parabola and the y-axis is used to represent the arch height of the arch belt, then the linear coefficient equation for constructing the confocal parabola family is:

[0044] x 2 =-2py+p 2 ;

[0045] Among them, x is the first variable, y is the second variable, and y≥0, p is the first coefficient. Since the thickness of each layer of arch belt is 2m, the difference in the height of the arches between the two layers of arch belts is also 2m. When y is zero, x is the length of the half span of the corresponding arch belt, and x=p; when x is zero, y is the arch height p / 2 of the corresponding arch belt, and y=p / 2. It can be seen that each of the first coefficients p is related to the arch height and arch span of each layer of arch belt, so the first coefficient p corresponding to each layer of arch belt is first obtained according to the arch height of each layer of arch belt, and then the parabolic equation corresponding to each layer of arch belt can be calculated according to the different first coefficients p.

[0046] S4, obtaining second information, the second information being the settlement of the vault of each layer of the arch belt under the uniformly distributed load. Since the vault of the arch belt will drop under the uniformly distributed load, causing a certain deformation of the arch belt, the settlement of the vault needs to be considered when calculating the bearing capacity to ensure the accuracy of the calculation result of the bearing capacity;

[0047] S5. Calculate the total bearing capacity of the tunnel surrounding rock bearing arch based on the confocal parabola family and the second information to obtain the total bearing capacity of the tunnel surrounding rock bearing arch.

[0048] Specifically, step S5 includes:

[0049] S51, calculating the first arc length of the first parabola corresponding to each layer of the arch band based on the confocal parabola family, to obtain a plurality of the first arc lengths;

[0050] S52, calculating the second parabola corresponding to each layer of the arch belt under the uniformly distributed load based on the Pusch collapse arch theory, the second information and the confocal parabola family, and calculating the second arc length of each second parabola to obtain a plurality of second arc lengths;

[0051] It is understandable that according to the Pusch collapse arch theory, the arch axis of the natural equilibrium arch formed by the tunnel excavation collapse arch is also parabolic, so under the action of uniformly distributed load, it is necessary to recalculate the equation of each parabola according to the settlement of each arch belt, and calculate the arc length of each parabola after the influence of the uniformly distributed load according to the recalculated parabola equation. The equation of the confocal parabola family after the influence of the uniformly distributed load is:

[0052]

[0053] Among them, x is the first variable, y is the second variable, p is the first coefficient, and Δ is the settlement of the arch crown.

[0054] S53, based on the first arc length and the second arc length corresponding to each layer of the arch belt, the arc length change corresponding to each layer of the arch belt is calculated to obtain a plurality of arc length changes. The self-bearing capacity of the tunnel is calculated according to the arc length change of the parabola corresponding to each layer of the arch belt before and after the arch crown is lowered, so that the obtained bearing capacity calculation result is more in line with the actual situation of the flat tunnel, which is more conducive to the design of an external support structure that takes into account both safety and economy.

[0055] Specifically, step S53 includes:

[0056] S531, calculating the average strain of each layer of the arch band based on the arc length variation corresponding to each layer of the arch band, to obtain a plurality of average strains;

[0057] Specifically, after the vault sinks, the average strain calculation formula on the parabola is:

[0058]

[0059] Among them, s o is the arc length of the parabola before the arch sinks, that is, the first arc length, s Δ is the arc length of the parabola corresponding to the sinking of the arch, that is, the second arc length, ε e is the average strain on the parabola.

[0060] S532, calculating the axial stress and the axial force of the arch crown of each layer of the arch belt based on the relationship between the multiple average strains and the rock mass stress-strain curves, and obtaining the axial stress and the axial force of the arch crown of each layer of the arch belt;

[0061] S533. Calculate the total bearing capacity of the tunnel surrounding rock bearing arch based on the preset thickness of each layer of the arch band, the first parabola, the axial stress and the arch crown axial force to obtain the total bearing capacity of the tunnel surrounding rock bearing arch.

[0062] Specifically, after obtaining the axial force and axial stress of each arch belt, it is necessary to calculate the vertical load borne by each arch belt, so as to find the total bearing capacity of the tunnel surrounding rock bearing arch. The calculation formula of the total bearing capacity of the tunnel surrounding rock bearing arch is:

[0063]

[0064] Among them, Q C is the total bearing capacity of the tunnel surrounding rock bearing arch, P i is the first coefficient of the first parabola corresponding to the i-th arch band, σ i is the vertical stress of the i-th arch belt, t i is the thickness of the i-th arch belt.

[0065] To obtain the above formula, it is necessary to transform the formula by combining the calculation formula of the dome axial force and the equation of the confocal parabola family. The calculation formula of the dome axial force is:

[0066]

[0067] Among them, N is the axial force of the arch crown, q is the vertical load of the arch, L is the arch span of the arch, and f is the rise of the arch.

[0068] S6. After obtaining the total bearing capacity of the tunnel surrounding rock bearing arch, the safety factor of the tunnel surrounding rock self-bearing is calculated, including:

[0069] S61. Obtain the total vertical load of the super-long span tunnel;

[0070] S62. Calculate a safety factor based on the total vertical load of the super-large span tunnel and the total bearing capacity of the tunnel surrounding rock bearing arch, wherein the safety factor is used to evaluate the stability of the super-large span tunnel surrounding rock bearing.

[0071] Specifically, it is necessary to first calculate or obtain the vertical total load of the super-long span tunnel based on engineering measurements, and then calculate the safety factor by the ratio of the vertical total load of the super-long span tunnel to the total bearing capacity of the tunnel surrounding rock bearing arch. The calculation formula is:

[0072]

[0073] Among them, K is the safety factor, Q c is the total bearing capacity of the tunnel surrounding rock bearing arch, q t is the total vertical load of the super-large span tunnel. The larger the safety factor K is, the higher the stability of the surrounding rock load of the super-large span tunnel is. The safety factor can more intuitively evaluate the stability of the surrounding rock load of the super-large span tunnel, thereby providing a reference for engineering designers to make a more secure and economical support structure.

[0074] Embodiment 2:

[0075] like Figure 2 As shown, this embodiment provides a bearing capacity calculation system based on the transmission law of the super-long-span tunnel ring layer, and the system includes a first acquisition module 901, a first processing module 902, a second processing module 903, a second acquisition module 904 and a third processing module 905:

[0076] A first acquisition module 901 is used to acquire first information, wherein the first information includes the excavation height and span of the super-long-span tunnel and the effective rock thickness of the crown of the pressure arch;

[0077] A first processing module 902 is used to divide the effective rock mass of the arch top of the pressure arch into multiple arch bands with preset thickness based on the first information to obtain multiple arch bands with preset thickness;

[0078] A second processing module 903 is used to construct a confocal parabola family based on the arch height of each layer of the arch band to obtain the confocal parabola family, wherein the confocal parabola family includes a plurality of first parabolas with the same focus, and one first parabola corresponds to one layer of the arch band;

[0079] A second acquisition module 904 is used to acquire second information, where the second information is the settlement of the arch crown of each layer of the arch belt under the action of a uniformly distributed load;

[0080] The third processing module 905 is used to calculate the total bearing capacity of the tunnel surrounding rock bearing arch based on the confocal parabola family and the second information to obtain the total bearing capacity of the tunnel surrounding rock bearing arch.

[0081] The second processing module 903 includes a first processing unit 9031, a second processing unit 9032 and a third processing unit 9033:

[0082] A first processing unit 9031 is used to construct a first equation, wherein the first equation is used to express a family of confocal parabolas;

[0083] The second processing unit 9032 is used to calculate the first coefficient based on the arch height of each layer of the arch belt to obtain a plurality of the first coefficients, where one first coefficient corresponds to one layer of the arch belt;

[0084] The third processing unit 9033 is used to calculate the second equation of the first parabola corresponding to each layer of the arch band based on the first coefficient corresponding to each layer of the arch band and the first equation to obtain the confocal parabola family, and the second equation is used to express the first parabola.

[0085] The third processing module 905 includes a fourth processing unit 9051, a fifth processing unit 9052, a sixth processing unit 9053 and a seventh processing unit 9054:

[0086] The fourth processing unit 9051 is used to calculate the first arc length of the first parabola corresponding to each layer of the arch band based on the confocal parabola family to obtain multiple first arc lengths;

[0087] A fifth processing unit 9052 is used to calculate the second parabola corresponding to each layer of the arch belt under the uniformly distributed load based on the Proković collapse arch theory, the second information and the confocal parabola family, and calculate the second arc length of each second parabola to obtain a plurality of second arc lengths;

[0088] A sixth processing unit 9053 is used to calculate the arc length change corresponding to each layer of the arch band based on the first arc length and the second arc length corresponding to each layer of the arch band, so as to obtain a plurality of arc length changes;

[0089] The seventh processing unit 9054 is used to calculate the total bearing capacity of the tunnel surrounding rock bearing arch based on the multiple arc length changes.

[0090] The seventh processing unit 9054 includes a first processing submodule 90541 and a second processing submodule 90542:

[0091] The first processing submodule 90541 is used to calculate the axial stress and the vault axial force of each layer of the arch band based on the arc length variation corresponding to each layer of the arch band, so as to obtain the axial stress and the vault axial force of each layer of the arch band;

[0092] The second processing submodule 90542 is used to calculate the total bearing capacity of the tunnel surrounding rock bearing arch based on the preset thickness of each layer of the arch band, the first parabola, the axial stress and the arch crown axial force, so as to obtain the total bearing capacity of the tunnel surrounding rock bearing arch.

[0093] A bearing capacity calculation system based on the transmission law of the ring layer of a super-long-span tunnel also includes a third acquisition module 906 and a fourth processing module 907:

[0094] The third acquisition module 906 is used to obtain the vertical total load of the super-long span tunnel;

[0095] The fourth processing module 907 is used to calculate the safety factor based on the total vertical load of the super-long span tunnel and the total bearing capacity of the tunnel surrounding rock bearing arch, and the safety factor is used to evaluate the stability of the super-long span tunnel surrounding rock bearing.

[0096] The first processing submodule 90541 includes a first processing subunit 905411 and a second processing subunit 905412:

[0097] The first processing subunit 905411 is used to calculate the average strain of each layer of the arch band based on the arc length change corresponding to each layer of the arch band, so as to obtain a plurality of average strains;

[0098] The second processing subunit 905412 is used to calculate the axial stress and the axial force of the arch crown of each layer of the arch belt based on the relationship between the multiple average strains and the rock mass stress-strain curves, so as to obtain the axial stress and the axial force of the arch crown of each layer of the arch belt.

[0099] It should be noted that, regarding the system in the above embodiment, the specific manner in which each module performs operations has been described in detail in the embodiment of the method, and will not be elaborated here.

[0100] The above description is only a preferred embodiment of the present invention and is not intended to limit the present invention. For those skilled in the art, the present invention may have various modifications and variations. Any modification, equivalent replacement, improvement, etc. made within the spirit and principle of the present invention shall be included in the protection scope of the present invention.

[0101] The above description is only a specific implementation mode of the present invention, but the protection scope of the present invention is not limited thereto. Any technician familiar with the technical field can easily think of changes or substitutions within the technical scope disclosed by the present invention, which should be covered by the protection scope of the present invention.

Claims

1. The bearing capacity calculation method based on the transfer law of the ring layer of the super-long-span tunnel is characterized by: include: Acquiring first information, wherein the first information includes an excavation height and an excavation span of a super-long-span tunnel and an effective rock mass thickness of a crown of a pressure-bearing arch; Dividing the effective rock mass of the arch crown of the pressure arch into multiple layers of arch belts with preset thickness based on the first information, to obtain multiple layers of arch belts with preset thickness; Constructing a confocal parabola family based on the arch height of each layer of the arch belt to obtain the confocal parabola family, wherein the confocal parabola family includes a plurality of first parabolas with the same focus, and one first parabola corresponds to one layer of the arch belt; Acquire second information, where the second information is the settlement of the arch crown of each layer of the arch belt under the action of a uniformly distributed load; The total bearing capacity of the tunnel surrounding rock bearing arch is calculated based on the confocal parabola family and the second information to obtain the total bearing capacity of the tunnel surrounding rock bearing arch.

2. The method for calculating the bearing capacity based on the transfer law of the super-long-span tunnel ring layer according to claim 1 is characterized in that The confocal parabola family is constructed based on the vault height of each layer of the vault band, including: Constructing a first equation, the first equation being used to express a family of confocal parabolas; Calculate a first coefficient based on the arch height of each layer of the arch belt to obtain a plurality of the first coefficients, one first coefficient corresponding to one layer of the arch belt; The second equation of the first parabola corresponding to each layer of the arch band is calculated based on the first coefficient corresponding to each layer of the arch band and the first equation to obtain the confocal parabola family, and the second equation is used to express the first parabola.

3. The method for calculating the bearing capacity based on the transfer law of the super-long-span tunnel ring layer according to claim 1 is characterized in that , the total bearing capacity of the tunnel surrounding rock bearing arch is calculated based on the confocal parabola family and the second information, including: Calculating the first arc length of the first parabola corresponding to each layer of the arch band based on the confocal parabola family to obtain a plurality of the first arc lengths; Based on the Proskauer collapse arch theory, the second information and the confocal parabola family, a second parabola corresponding to each layer of the arch belt under the action of a uniformly distributed load is calculated, and a second arc length of each second parabola is calculated to obtain a plurality of second arc lengths; Calculate the arc length change corresponding to each layer of the arch band based on the first arc length and the second arc length corresponding to each layer of the arch band, and obtain a plurality of arc length changes; The total bearing capacity of the tunnel surrounding rock bearing arch is calculated based on the multiple arc length changes.

4. The method for calculating the bearing capacity based on the transfer law of the super-long-span tunnel ring layer according to claim 3 is characterized in that , the total bearing capacity of the tunnel surrounding rock bearing arch is calculated based on the multiple arc length changes, including: Calculating the axial stress and the axial force of the arch top of each layer of the arch band based on the arc length variation corresponding to each layer of the arch band, and obtaining the axial stress and the axial force of the arch top of each layer of the arch band; The total bearing capacity of the tunnel surrounding rock bearing arch is calculated based on the preset thickness of each layer of the arch band, the first parabola, the axial stress and the arch crown axial force to obtain the total bearing capacity of the tunnel surrounding rock bearing arch.

5. The method for calculating the bearing capacity based on the transfer law of the super-long-span tunnel ring layer according to claim 1 is characterized in that After obtaining the total bearing capacity of the tunnel surrounding rock bearing arch, the method further includes: Obtain the total vertical load of the super-long span tunnel; A safety factor is calculated based on the total vertical load of the super-large-span tunnel and the total bearing capacity of the tunnel surrounding rock bearing arch, and the safety factor is used to evaluate the stability of the super-large-span tunnel surrounding rock bearing.

6. The bearing capacity calculation system based on the transmission law of the super-large-span tunnel ring layer is characterized by: include: A first acquisition module is used to acquire first information, wherein the first information includes an excavation height and an excavation span of a super-long-span tunnel and an effective rock mass thickness of a crown of a pressure-bearing arch; A first processing module, configured to divide the effective rock mass of the arch crown of the pressure arch into multiple layers of arch bands with preset thicknesses based on the first information, to obtain multiple layers of the arch bands with preset thicknesses; A second processing module is used to construct a confocal parabola family based on the arch height of each layer of the arch band to obtain the confocal parabola family, wherein the confocal parabola family includes a plurality of first parabolas with the same focus, and one first parabola corresponds to one layer of the arch band; A second acquisition module is used to acquire second information, where the second information is the settlement of the vault of each layer of the vault belt under the action of a uniformly distributed load; The third processing module is used to calculate the total bearing capacity of the tunnel surrounding rock bearing arch based on the confocal parabola family and the second information to obtain the total bearing capacity of the tunnel surrounding rock bearing arch.

7. The bearing capacity calculation system based on the transfer law of the super-long-span tunnel ring layer according to claim 6 is characterized in that: The second processing module comprises: A first processing unit, configured to construct a first equation, wherein the first equation is used to express a family of confocal parabolas; A second processing unit is used to calculate a first coefficient based on the arch height of each layer of the arch band to obtain a plurality of the first coefficients, wherein one first coefficient corresponds to one layer of the arch band; The third processing unit is used to calculate the second equation of the first parabola corresponding to each layer of the arch band based on the first coefficient corresponding to each layer of the arch band and the first equation to obtain the confocal parabola family, and the second equation is used to express the first parabola.

8. The bearing capacity calculation system based on the transfer law of the super-long-span tunnel ring layer according to claim 6 is characterized in that: The third processing module comprises: A fourth processing unit is used to calculate the first arc length of the first parabola corresponding to each layer of the arch band based on the confocal parabola family to obtain a plurality of the first arc lengths; A fifth processing unit is used to calculate the second parabola corresponding to each layer of the arch belt under the uniformly distributed load based on the Proković collapse arch theory, the second information and the confocal parabola family, and calculate the second arc length of each second parabola to obtain a plurality of second arc lengths; A sixth processing unit, configured to calculate an arc length variation corresponding to each layer of the arch band based on the first arc length and the second arc length corresponding to each layer of the arch band, to obtain a plurality of arc length variations; The seventh processing unit is used to calculate the total bearing capacity of the tunnel surrounding rock bearing arch based on the multiple arc length changes.

9. The bearing capacity calculation system based on the transfer law of the super-long-span tunnel ring layer according to claim 8 is characterized in that: The seventh processing unit comprises: A first processing submodule is used to calculate the axial stress and the vault axial force of each layer of the arch band based on the arc length variation corresponding to each layer of the arch band, so as to obtain the axial stress and the vault axial force of each layer of the arch band; The second processing submodule is used to calculate the total bearing capacity of the tunnel surrounding rock bearing arch based on the preset thickness of each layer of the arch band, the first parabola, the axial stress and the arch crown axial force, so as to obtain the total bearing capacity of the tunnel surrounding rock bearing arch.

10. The bearing capacity calculation system based on the transfer law of super-long-span tunnel rings according to claim 1 is characterized in that: Also includes: The third acquisition module is used to obtain the vertical total load of the super-long span tunnel; The fourth processing module is used to calculate the safety factor based on the total vertical load of the super-large span tunnel and the total bearing capacity of the tunnel surrounding rock bearing arch, and the safety factor is used to evaluate the stability of the super-large span tunnel surrounding rock bearing.

Citation Information

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