Abrasive jet tunneling efficiency and surrounding rock deformation evaluation method and system

Abstract

The application relates to a kind of abrasive jet tunneling efficiency and surrounding rock deformation evaluation method and system, S1, the rock breaking consumption model of abrasive jet is established, the abrasive jet consumption in unit time is quantitatively represented;And the tunnel contour line mapping function is established;S2, the rock breaking efficiency evaluation model is established, to quantitatively characterize rock breaking efficiency, and the cutting depth and contour line overall deformation amount relationship model is established;S3, the excavation efficiency evaluation model and contour line local deformation evaluation model are established;S4, determine jet parameter and excavation method adjustment strategy;Determine the contour line deformation amount and nozzle angle adjustment strategy;S5, establish the jet working condition and surrounding rock deformation database under different lithology, quantitatively characterize the influence of jet working condition on surrounding rock deformation.The application improves jet efficiency and reduces engineering cost.

Description

Technical Field

[0001] This invention relates to underground tunnel engineering, specifically to a method and system for evaluating the tunnel excavation efficiency and surrounding rock deformation of abrasive jet tunneling. Background Technology

[0002] With the rapid development of infrastructure construction in my country, the scale and number of tunnels and underground projects have ranked among the world's top. Especially driven by national-level projects of extraordinary difficulty such as the Sichuan-Tibet Railway and the South-to-North Water Diversion Project, the construction volume of tunnels, urban subways, and underground space projects has increased year by year. These projects often need to traverse complex and varied geological strata, facing numerous challenges, particularly in excavating through hard strata.

[0003] Traditional rock drilling methods, such as drill-and-blast, cantilever tunneling, and tunnel boring machine (TBM) methods, have many shortcomings when dealing with hard strata. For example, drill-and-blast methods generate significant vibrations, causing severe damage to the surrounding rock and having a considerable impact on urban structures and residents; cantilever tunneling methods have low excavation efficiency and high construction costs; and TBM methods suffer from severe tool wear. Therefore, exploring new tunneling methods to improve excavation efficiency, reduce construction costs, and minimize the impact on the surrounding environment has become an important issue in the field of tunnel and underground engineering technology.

[0004] In recent years, high-pressure abrasive waterjet tunneling has attracted widespread attention due to its high efficiency and environmental friendliness. This method uses high-pressure water jets to carry abrasive particles to cut rocks, offering advantages such as fast cutting speed and minimal damage to the surrounding rock.

[0005] However, existing tunnel excavation methods based on high-pressure abrasive jet rock cutting still have some shortcomings:

[0006] 1) The lack of a method for optimizing jet operation under different lithological conditions may result in excessively low jet cutting efficiency;

[0007] 2) The deformation of the surrounding rock caused by the change in the jet cutting depth was not taken into account, and the under-excavation caused by the deformation of the surrounding rock will increase the project cost;

[0008] 3) No method for calculating excavation efficiency is provided. For cross-sections of different sizes, the cutting path changes, and the excavation efficiency cannot be quantified.

[0009] Therefore, it is necessary to develop a method and system for evaluating the efficiency of abrasive jet tunneling and the deformation of surrounding rock. Summary of the Invention

[0010] The purpose of this invention is to provide a method and system for evaluating the tunnel excavation efficiency and surrounding rock deformation of abrasive jets. This method can optimize the jet working conditions under different lithological conditions, improve jet efficiency, and quantify the excavation efficiency under different cutting paths. Finally, based on the surrounding rock deformation under different cutting depths, nozzle adjustment measures are proposed to more accurately control over-excavation and under-excavation, thereby reducing engineering costs.

[0011] To achieve the above objectives, the present invention adopts the following technical solution:

[0012] In a first aspect, the present invention provides a method for evaluating the efficiency of abrasive jet tunneling and the deformation of surrounding rock, comprising the following steps:

[0013] S1. Establish an abrasive jet rock breaking consumption model. This abrasive jet rock breaking consumption model quantitatively characterizes the abrasive jet consumption per unit time by introducing pump pressure, abrasive density, total jet mass, abrasive volume concentration, flow coefficient and nozzle diameter.

[0014] Establish a tunnel outline mapping function, which represents the tunnel outline using mathematical functions;

[0015] S2. Establish a rock-breaking efficiency evaluation model. This rock-breaking efficiency evaluation model quantitatively characterizes the rock-breaking efficiency, i.e. the cutting ability of the current jet working condition, by introducing nozzle lateral velocity, surrounding rock characteristics and cutting depth.

[0016] A model is established to show the relationship between cutting depth and overall deformation of the contour line. This model is developed by measuring the deformation after cutting the contour line and establishing a relationship function between each point on the contour line and the overall deformation of the contour line.

[0017] S3. Establish an excavation efficiency evaluation model. This model quantitatively characterizes the excavation efficiency of the current excavation method by introducing the total length of the cutting path and the volume of rock falling from the face after cutting.

[0018] A local deformation evaluation model for contour lines is established. This model quantitatively characterizes the local deformation of contour lines by introducing the deformation of the upper boundary of the cutting contour line and the deformation of the lower boundary of the contour line.

[0019] S4, determine the jet parameters and excavation method strategy, specifically: determine the jet working conditions and cutting path by rock breaking efficiency and excavation efficiency, so as to obtain the most efficient jet working conditions and the most efficient excavation method under the current lithology;

[0020] The strategy for determining the nozzle angle and position is as follows: adjust the nozzle angle and position based on the local deformation of the contour line and the cutting depth to precisely control the undercut of the contour line;

[0021] S5. Establish a method for evaluating the efficiency of jet cutting tunneling and the deformation of surrounding rock. Specifically, based on jet working conditions, cutting depth, surrounding rock characteristics, overall deformation of the outline and local deformation of the outline, establish a database of the correspondence between jet working conditions, cutting depth and surrounding rock deformation under different lithologies, so as to quantitatively characterize the influence of jet working conditions on the deformation of surrounding rock.

[0022] Optionally, the abrasive jet rock-breaking consumption model is determined by the following formula:

[0023]

[0024] In the formula, E t ρ represents the abrasive jet consumption, P represents the pump pressure; a m is the density of the abrasive. t Let ω be the total mass of the jet. a denoted as abrasive volume concentration; c is the flow coefficient; d is the nozzle diameter.

[0025] Optionally, the tunnel contour mapping function is determined by the following formula;

[0026]

[0027] In the formula, ω(ζ) is the mapping function; k is a positive integer; m is the number of terms in the mapping function, determined according to the tunnel cross-section dimensions, and takes a value of 2 to 10; C k Let ζ be the real coefficient related to the tunnel cross-section dimensions of the k-th term, and let ζ be the conformal mapping plane. The coordinates of a point on the ζ plane are ζ = ξ + iη = ρe. iθ ξ is the vertical axis, η is the horizontal axis, i is the imaginary unit, the center of the upper arch arc is the origin, ρ is the radius of the unit circle, and θ is the angle between the line connecting a point on the unit circle and the origin and the ξ axis.

[0028] Optionally, the rock-breaking efficiency evaluation model is determined by the following formula;

[0029]

[0030] In the formula, SE t A represents rock-breaking efficiency; A is the compensation coefficient, which is related to lithology and ranges from 2 to 10. The greater the rock hardness, the higher the compensation coefficient; l is the cutting depth; v is the nozzle lateral movement speed.

[0031] Optionally, the relationship model between the cutting depth and the overall deformation of the contour line is expressed by mathematical formulas through the mapping function, wherein the overall deformation of the contour line is determined by the following formula:

[0032] y1 = f(ρ, θ, l);

[0033] In the formula, y1 represents the overall deformation of the contour line.

[0034] Optionally, the excavation efficiency evaluation model is determined by the following formula;

[0035]

[0036] In the formula, S E V represents excavation efficiency; V is the volume of rockfall at the face after cutting; L is the total length of the cutting path. Optionally, the local deformation evaluation model for the contour line is specifically as follows:

[0037] y2=a+b

[0038] In the formula, y2 is the local deformation of the contour line; a is the deformation of the upper boundary of the contour line; and b is the deformation of the lower boundary of the contour line.

[0039] Optionally, the strategy for determining the jet parameters is as follows:

[0040] The rock-breaking efficiency is calculated using the rock-breaking efficiency evaluation model for the current jet operation.

[0041] Conduct pre-experimental cutting of the tunnel face, and determine the most efficient jet condition for the current lithological conditions by comparing the rock-breaking efficiency under different jet conditions;

[0042] The strategy for determining the excavation method is as follows:

[0043] Based on the highest efficiency jet working conditions obtained from the pre-experiment of face cutting, the cutting depth that can achieve the highest efficiency under the current lithology is determined; the face cutting operation is carried out using the determined highest efficiency cutting depth, and the efficiency of the excavation method used for the current lithology is evaluated using the excavation efficiency evaluation model to obtain the excavation efficiency of the current cutting method.

[0044] Optionally, the angle and position of the nozzle are adjusted based on the local deformation of the contour line and the cutting depth, specifically:

[0045] The nozzle adjustment angle is determined based on the deformation of the boundary line and the cutting depth, using the following formula;

[0046]

[0047] Where β is the nozzle adjustment angle;

[0048] The distance the nozzle moves upward is determined based on the deformation of the boundary line on the contour line.

[0049] Secondly, the present invention provides an abrasive jet tunneling efficiency and surrounding rock deformation evaluation system, comprising a memory and a controller. The memory stores a computer-readable program, which, when invoked by the controller, can execute the abrasive jet tunneling efficiency and surrounding rock deformation evaluation method as described in the present invention.

[0050] The beneficial effects of this invention are:

[0051] 1. This invention proposes to combine high-pressure abrasive jet working conditions with cutting depth to achieve optimal high-efficiency jet working conditions under different rock types. Through efficiency calculation, the appropriate cutting depth under the rock type can be accurately determined, thereby avoiding blindly increasing pump pressure and reducing lateral speed in pursuit of excessive cutting depth, effectively controlling the consumption of jet, and thus reducing tunneling costs.

[0052] 2. This invention proposes an evaluation method for abrasive shot cutting excavation efficiency. It quantifies the excavation efficiency by measuring the cutting path length and the volume of rock falling, while also considering the impact of different cross-sectional sizes and cutting depths on the excavation efficiency. This evaluation method provides a powerful tool for optimizing the cutting path and improving excavation efficiency.

[0053] 3. Furthermore, this invention also proposes a method for evaluating surrounding rock deformation based on high-pressure abrasive jet cutting. This method uses a mapping function to represent each point on the tunnel outline and, combined with the relationship between cutting depth and local deformation of the outline, proposes a nozzle adjustment method. This method can accurately control under-excavation of the outline, improving the accuracy and safety of tunneling. Attached Figure Description

[0054] Figure 1 This is a schematic flowchart of the jet cutting tunneling efficiency and surrounding rock deformation evaluation method described in the embodiments of this application.

[0055] Figure 2 This is a schematic diagram of the outline of the tunnel jet cutting described in the embodiments of this application.

[0056] Figure 3 This is a schematic diagram of the initial jet cutting groove morphology described in the embodiments of this application.

[0057] Figure 4 This is a schematic diagram of the deformation morphology of the initial jet cutting groove described in the embodiments of this application.

[0058] Figure 5 This is a schematic diagram of the jet cutting groove morphology after nozzle adjustment as described in the embodiments of this application.

[0059] Figure 6 This is a schematic diagram of the deformation morphology of the jet cutting groove after nozzle adjustment as described in the embodiments of this application.

[0060] Figure 7 This is a schematic diagram of the jet cutting tunneling efficiency and surrounding rock deformation evaluation system described in the embodiments of this application.

[0061] In the diagram, 1. Surrounding rock, 2. Cutting outline, 3. Working face, 4. Nozzle, 5. Upper boundary of the outline, 6. Lower boundary of the outline, 7. Controller, 8. Memory. Detailed Implementation

[0062] The embodiments of the present invention will be described below with reference to the accompanying drawings and preferred embodiments. Those skilled in the art can easily understand other advantages and effects of the present invention from the content disclosed in this specification. The present invention can also be implemented or applied through other different specific embodiments, and various details in this specification can also be modified or changed based on different viewpoints and applications without departing from the spirit of the present invention. It should be understood that the preferred embodiments are only for illustrating the present invention and not for limiting the scope of protection of the present invention.

[0063] like Figure 1 As shown in the embodiments of this application, a method for evaluating the efficiency of abrasive jet tunneling and the deformation of surrounding rock includes the following steps:

[0064] S1. Establish an abrasive jet rock breaking consumption model. This abrasive jet rock breaking consumption model quantitatively represents the abrasive jet consumption per unit time by introducing pump pressure, abrasive density, total jet mass, abrasive volume concentration, flow coefficient and nozzle diameter.

[0065] Establish a tunnel contour mapping function, which represents the tunnel contour as a mathematical function so that subsequent steps can describe each point on the contour.

[0066] S2. Establish a rock-breaking efficiency evaluation model. This rock-breaking efficiency evaluation model quantitatively characterizes the rock-breaking efficiency, i.e. the cutting ability of the current jet working condition, by introducing nozzle lateral velocity, surrounding rock characteristics and cutting depth.

[0067] A model relating cutting depth to overall deformation of the contour line is established. This model is developed by measuring the deformation after cutting contour line 2 and establishing a function relating each point of the contour line to the deformation.

[0068] S3. Establish an excavation efficiency evaluation model. This model quantitatively characterizes the excavation efficiency of the cutting method by introducing the total length of the cutting path and the volume of rock falling at the face after cutting.

[0069] A local deformation evaluation module for the contour line is established. This local deformation evaluation model quantitatively characterizes the local deformation of the contour line by introducing the deformation amount of the upper boundary 5 and the lower boundary 6 of the contour line, providing data for subsequent nozzle 4 adjustment.

[0070] S4, the strategy for determining jet parameters and excavation methods, specifically: determining the jet conditions and cutting path through rock breaking efficiency and excavation efficiency, so as to obtain the most efficient jet conditions and the most efficient excavation method under the current lithology.

[0071] The strategy for determining the nozzle angle and position is as follows: adjust the nozzle angle and position based on the local deformation of the contour line and the cutting depth to precisely control the undercut of the contour line.

[0072] S5. Establish a method for evaluating the efficiency of jet cutting tunneling and the deformation of surrounding rock. Specifically, based on jet working conditions, cutting depth, surrounding rock characteristics, overall deformation of the outline and local deformation of the outline, establish a database of the correspondence between jet working conditions, cutting depth and surrounding rock deformation (including overall deformation of the outline and local deformation of the outline) under different lithologies, so as to quantitatively characterize the influence of jet working conditions on the deformation of surrounding rock.

[0073] In the embodiments of this application, a method for evaluating the tunneling efficiency and surrounding rock deformation of abrasive jet tunneling achieves multiple technical effects through the establishment of a series of models. Specifically, firstly, by establishing a model for the consumption of abrasive jet rock breaking and introducing several key parameters (such as pump pressure and abrasive concentration), this method successfully achieves accurate quantitative characterization of the consumption of abrasive jet per unit time. This not only helps optimize the jet working conditions but also reduces unnecessary consumption, thereby lowering costs. Secondly, the rock breaking efficiency evaluation model comprehensively considers multiple factors such as nozzle lateral velocity, surrounding rock characteristics, and cutting depth, and can comprehensively and accurately reflect the cutting capability of the current jet working conditions. This provides a solid scientific basis for further optimizing the jet working conditions and improving rock breaking efficiency. Furthermore, by establishing a model for the relationship between cutting depth and overall contour deformation, as well as a model for evaluating local contour deformation, this method can achieve accurate assessment of the deformation of the contour line of the abrasive jet cutting tunnel. This function is of great significance for timely adjustment of nozzle angle and position, precise control of under-excavation of the contour line, improvement of tunneling accuracy, and ensuring construction safety. Meanwhile, the excavation efficiency evaluation model effectively and quantitatively characterizes the efficiency of the current excavation method by introducing parameters such as the total length of the cutting path and the volume of rock falling from the tunnel face after cutting. This provides strong support for optimizing the cutting path and further improving excavation efficiency. Finally, this method also innovatively establishes a database of the correspondence between jet working conditions, cutting depth, and surrounding rock deformation under different lithologies. This database can quantitatively characterize the impact of jet working conditions on surrounding rock deformation, providing reliable and comprehensive data support for parameter selection and adjustment in subsequent tunneling operations.

[0074] In one possible embodiment, the abrasive jet rock-breaking consumption model is determined by the following formula:

[0075]

[0076] In the formula, E t P is the abrasive jet consumption; P is the pump pressure, in MPa; ρ a This refers to the density of the abrasive, expressed in kg / m³. 3 m t ω represents the total mass of the jet, in kg. a denoted as abrasive volume concentration; c is the flow coefficient; d is the nozzle diameter in meters.

[0077] In one possible embodiment, the tunnel contour mapping function is determined by the following formula;

[0078]

[0079] In the formula, ω(ζ) is the mapping function; k is a positive integer; m is the number of terms in the mapping function, determined according to the tunnel cross-section dimensions, and takes a value of 2 to 10; C k Let ζ be the real coefficient related to the tunnel cross-section dimensions of the k-th term, and let ζ be the conformal mapping plane. The coordinates of a point on the ζ plane are ζ = ξ + iη = ρe. iθ ξ is the vertical axis, η is the horizontal axis, i is the imaginary unit, the center of the upper arch arc is the origin, ρ is the radius of the unit circle, and θ is the angle between the line connecting a point on the unit circle and the origin and the ξ-axis. Figure 2 As shown.

[0080] In one possible embodiment, the rock-breaking efficiency evaluation model is determined by the following formula;

[0081]

[0082] In the formula, SE t A represents rock-breaking efficiency; A is the compensation coefficient, which is related to lithology and ranges from 2 to 10. The greater the rock hardness, the higher the compensation coefficient; l is the cutting depth in meters; v is the nozzle lateral movement speed in meters per hour.

[0083] In one possible embodiment, the relationship model between cutting depth and overall deformation of the contour line is represented by a mapping function using mathematical formulas to represent each point on the tunnel contour line. The overall deformation of the contour line is determined by the following formula:

[0084] y1=f(ρ,θ,l)

[0085] In the formula, y1 represents the overall deformation of the contour line.

[0086] In one possible embodiment, the excavation efficiency evaluation model is determined by the following formula;

[0087]

[0088] In the formula, S E V represents the excavation efficiency; V is the volume of rockfall at the face after cutting, in meters. 3 L represents the total length of the cutting path, in meters.

[0089] In one possible embodiment, the contour line local deformation evaluation model is specifically as follows:

[0090] y2=a+b

[0091] In the formula, y2 is the local deformation of the contour line, a is the deformation of the upper boundary of the contour line, and b is the deformation of the lower boundary of the contour line.

[0092] In one possible embodiment, such as Figure 3 The image shows the morphology of the initial jet cutting groove.

[0093] In one possible embodiment, the jet parameter adjustment strategy is as follows:

[0094] The rock-breaking efficiency evaluation model is used to calculate the rock-breaking efficiency under the current jet condition. A pre-test of face cutting is conducted, and by comparing the rock-breaking efficiency under different jet conditions, the most efficient jet condition for the current lithological conditions is determined. Specifically, the face cutting pre-test includes:

[0095] Select a flat lithological area in the working face, set the jet working parameters, including pump pressure, abrasive density, and nozzle lateral velocity; carry out transverse and longitudinal cutting respectively; gradually increase pump pressure and abrasive density, decrease nozzle lateral velocity, carry out multiple cuttings, and measure the cutting depth of each cutting path; calculate the most efficient jet working condition under the current lithological conditions through the abrasive jet rock breaking consumption model and rock breaking efficiency evaluation model.

[0096] In one possible embodiment, the excavation method adjustment strategy is as follows:

[0097] Based on the highest efficiency jet working condition obtained from the pre-experiment of face cutting, the cutting depth that can achieve the highest efficiency under the current lithological conditions is determined (during the pre-experiment of face cutting, the corresponding cutting depth under each efficiency jet working condition can be obtained; when the highest efficiency jet working condition under the current lithological conditions is determined, the cutting depth corresponding to the highest efficiency jet working condition can be determined). The determined highest efficiency cutting depth is used to cut face 3, and the excavation efficiency evaluation model is used to evaluate the efficiency of the current excavation method to obtain the excavation efficiency of the current cutting method.

[0098] Due to the influence of lithology and cutting depth, the cutting contour line 2 is prone to uneven deformation, i.e., the external deformation is greater than the internal deformation. For the deformation morphology of the initial jet cutting groove, please refer to [reference needed]. Figure 4 .

[0099] To control undercutting of the contour line, the nozzle angle and cutting position need to be adjusted to ensure a smooth contour line after cutting deformation. Specifically, adjusting the nozzle angle involves:

[0100] The nozzle adjustment angle is determined based on the deformation of the boundary line and the cutting depth, using the following formula;

[0101]

[0102] Where β is the nozzle adjustment angle.

[0103] Then, the distance the nozzle moves upward is determined based on the deformation of the boundary along the contour line.

[0104] like Figure 6 The image shows the deformation morphology of the jet cutting groove after nozzle 4 is adjusted.

[0105] like Figure 5 As shown, this is the shape of the jet cutting groove after nozzle 4 is adjusted.

[0106] In one possible embodiment, the tunneling efficiency and surrounding rock deformation evaluation method can determine the current jetting conditions and excavation efficiency of the surrounding rock 1 based on the above content, and propose corresponding nozzle 4 adjustment strategies for the overall and local deformation of each point on the outline, so as to accurately control the under-excavation of the surrounding rock 1.

[0107] like Figure 7 As shown in the embodiments of this application, an abrasive jet tunneling efficiency and surrounding rock deformation evaluation system includes a memory and a controller. The memory stores a computer-readable program, which, when called by the controller, can execute the abrasive jet tunneling efficiency and surrounding rock deformation evaluation method as described in the embodiments of this application.

[0108] The above embodiments are merely preferred embodiments provided to fully illustrate the present invention, and the scope of protection of the present invention is not limited thereto. Equivalent substitutions or modifications made by those skilled in the art based on the present invention are all within the scope of protection of the present invention.

Claims

1. A method for evaluating the efficiency of abrasive jet tunneling and the deformation of surrounding rock, characterized in that, Includes the following steps: S1. Establish an abrasive jet rock breaking consumption model. This abrasive jet rock breaking consumption model quantitatively characterizes the abrasive jet consumption per unit time by introducing pump pressure, abrasive density, total jet mass, abrasive volume concentration, flow coefficient and nozzle diameter. Establish a tunnel outline mapping function, which represents the tunnel outline using mathematical functions; S2. Establish a rock-breaking efficiency evaluation model. This rock-breaking efficiency evaluation model quantitatively characterizes the rock-breaking efficiency, i.e. the cutting ability of the current jet working condition, by introducing nozzle lateral velocity, surrounding rock characteristics and cutting depth. A model is established to show the relationship between cutting depth and overall deformation of the contour line. This model is developed by measuring the deformation after cutting the contour line and establishing a relationship function between each point on the contour line and the overall deformation of the contour line. S3. Establish an excavation efficiency evaluation model. This model quantitatively characterizes the excavation efficiency of the current excavation method by introducing the total length of the cutting path and the volume of rock falling from the face after cutting. A local deformation evaluation model for contour lines is established. This model quantitatively characterizes the local deformation of contour lines by introducing the deformation of the upper boundary of the cutting contour line and the deformation of the lower boundary of the contour line. S4, determine the jet parameters and excavation method strategy, specifically: determine the jet working conditions and cutting path by rock breaking efficiency and excavation efficiency, so as to obtain the most efficient jet working conditions and the most efficient excavation method under the current lithology; The strategy for determining the nozzle angle and position is as follows: adjust the nozzle angle and position based on the local deformation of the contour line and the cutting depth to precisely control the undercut of the contour line; S5. Establish a method for evaluating the efficiency of jet cutting tunneling and the deformation of surrounding rock. Specifically, based on jet working conditions, cutting depth, surrounding rock characteristics, overall deformation of the outline and local deformation of the outline, establish a database of the correspondence between jet working conditions, cutting depth and surrounding rock deformation under different lithologies, so as to quantitatively characterize the influence of jet working conditions on the deformation of surrounding rock.

2. The method for evaluating the efficiency of abrasive jet tunneling and the deformation of surrounding rock according to claim 1, characterized in that: The abrasive jet rock-breaking consumption model is determined by the following formula: In the formula, E t ρ represents the abrasive jet consumption, P represents the pump pressure; a m is the density of the abrasive. t For the total mass of the jet, ω a denoted as abrasive volume concentration; c is the flow coefficient; d is the nozzle diameter.

3. The method for evaluating the efficiency of abrasive jet tunneling and the deformation of surrounding rock according to claim 2, characterized in that: The tunnel outline mapping function is determined by the following formula; In the formula, ω(ζ) is the mapping function; k is a positive integer; m is the number of terms in the mapping function, determined according to the tunnel cross-section dimensions, and takes a value of 2 to 10; Ck is the real coefficient of the k-th term related to the tunnel cross-section dimensions; ζ is the conformal mapping plane, and the coordinates of a point on the ζ plane are ζ=ξ+iη=ρe iθ ξ is the vertical axis, η is the horizontal axis, i is the imaginary unit, the center of the upper arch arc is the origin, ρ is the radius of the unit circle, and θ is the angle between the line connecting a point on the unit circle and the origin and the ξ axis.

4. The method for evaluating the efficiency of abrasive jet tunneling and the deformation of surrounding rock according to claim 2, characterized in that: The rock-breaking efficiency evaluation model is determined by the following formula; In the formula, SE t A represents rock-breaking efficiency; A is the compensation coefficient, which is related to lithology and ranges from 2 to 10. The greater the rock hardness, the higher the compensation coefficient; l is the cutting depth; v is the nozzle lateral movement speed.

5. The method for evaluating the efficiency of abrasive jet tunneling and the deformation of surrounding rock according to claim 4, characterized in that: The model relating the cutting depth to the overall deformation of the tunnel contour uses a mapping function to represent each point on the tunnel contour using mathematical formulas. The overall deformation of the contour is determined by the following formula: y1 = f(ρ,θ,l); In the formula, y1 represents the overall deformation of the contour line.

6. The method for evaluating the efficiency of abrasive jet tunneling and the deformation of surrounding rock according to claim 1, characterized in that: The excavation efficiency evaluation model is determined by the following formula; In the formula, S E V represents the excavation efficiency; V represents the volume of rock falling from the face after cutting; and L represents the total length of the cutting path.

7. The method for evaluating the efficiency of abrasive jet tunneling and the deformation of surrounding rock according to claim 4, characterized in that: The local deformation evaluation model for the contour line is as follows: y2=a+b In the formula, y2 is the local deformation of the contour line; a is the deformation of the upper boundary of the contour line; and b is the deformation of the lower boundary of the contour line.

8. The method for evaluating the efficiency of abrasive jet tunneling and the deformation of surrounding rock according to claim 7, characterized in that: The strategy for determining the jet parameters is as follows: The rock-breaking efficiency is calculated using the rock-breaking efficiency evaluation model for the current jet operation. Conduct pre-experimental cutting of the tunnel face, and determine the most efficient jet condition for the current lithological conditions by comparing the rock-breaking efficiency under different jet conditions; The strategy for determining the excavation method is as follows: Based on the highest efficiency jet working conditions obtained from the pre-experiment of face cutting, the cutting depth that can achieve the highest efficiency under the current lithology is determined; the face cutting operation is carried out using the determined highest efficiency cutting depth, and the efficiency of the excavation method used for the current lithology is evaluated using the excavation efficiency evaluation model to obtain the excavation efficiency of the current cutting method.

9. The method for evaluating the efficiency of abrasive jet tunneling and the deformation of surrounding rock according to claim 7, characterized in that: The nozzle angle and position are adjusted based on the local deformation of the contour line and the cutting depth, specifically as follows: The nozzle adjustment angle is determined based on the deformation of the boundary line and the cutting depth, using the following formula; Where β is the nozzle adjustment angle; The distance the nozzle moves upward is determined based on the deformation of the boundary line on the contour line.

10. A system for evaluating the efficiency of abrasive jet tunneling and the deformation of surrounding rock, characterized in that: It includes a memory and a controller, wherein the memory stores a computer-readable program, which, when invoked by the controller, can execute the abrasive jet tunneling efficiency and surrounding rock deformation evaluation method as described in any one of claims 1 to 9.

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