Abrasive water jet-roller cutter combined rock breaking cutting performance prediction method and system

Abstract

The application provides a kind of abrasive water jet-roller cutter combined rock breaking cutting performance prediction method and system, obtains the physical property parameters of front rock, according to the category of known rock physical property parameters, corresponding abrasive water jet cutting depth prediction model is selected;Using the model, based on rock physical property parameters and operation parameters, the cutting depth of abrasive water jet is predicted;Based on CSM model, the rock breaking force resultant force is calculated, and it is decomposed to obtain the normal force and rolling force of roller cutter rock breaking method;According to the normal force, rolling force, combined with penetration and slit depth, the relationship between combined rock breaking force and CSM rock breaking force is established;Using the relationship, according to the operation parameters, the combined rock breaking force prediction result is obtained.It has good application prospect.

Description

A method and system for predicting the rock-breaking and cutting performance of abrasive waterjet-roll cutter combined Technical Field

[0001] This invention belongs to the field of abrasive jet-assisted TBM roller cutter rock breaking technology, specifically relating to a method and system for predicting the rock breaking and cutting performance of abrasive water jet-roller combined rock breaking and cutting. Background Technology

[0002] The statements in this section are merely background information related to the present invention and do not necessarily constitute prior art.

[0003] With the development of modern engineering technology, how to cut and break extremely hard rocks has become an increasingly important issue in the engineering field. Currently, abrasive waterjet-assisted cutter rock breaking has become a new direction in TBM development. First, the rock mass is pre-cut with an abrasive waterjet, and then the cutter penetrates. This not only reduces the cutting force of the TBM cutter but also improves the TBM's excavability and rock-breaking efficiency in extremely hard rock formations. Therefore, exploring efficient rock breaking using abrasive waterjet-assisted TBM cutter has become a hot topic in both the engineering and academic communities.

[0004] During TBM construction, cutterheads experience varying degrees of wear and even abnormal damage during tunneling. Repairing and replacing these cutterheads not only increases construction costs but also affects construction progress and even safety. Therefore, analyzing the cutterhead's rock-breaking process and mechanism, and establishing a method for calculating cutter force under different combined rock-breaking modes of abrasive waterjet-cutterhead, is crucial for accurately analyzing cutterhead thrust, torque, and TBM tunneling performance, and is of great significance for improving rock-breaking efficiency.

[0005] The effectiveness of abrasive waterjet cutting of rock is affected by a variety of factors, which poses significant challenges to the implementation of abrasive waterjet-assisted rotary cutter rock breaking technology. During rock cutting, the cutting performance of abrasive waterjet varies depending on the traverse speed, nozzle diameter, target distance, pump pressure, and number of cuts. Changes in rock type necessitate numerous adjustments to equipment process parameters and rock breaking parameters, which not only affects rock breaking efficiency but also easily leads to the consequence of "wasting water in the inner ring and failing to break the outer ring." Summary of the Invention

[0006] To address the aforementioned problems, this invention proposes a method and system for predicting the performance of abrasive waterjet-roll cutter combined rock breaking and cutting. This invention is based on the influence of rock physical properties on waterjet cutting performance and obtains and predicts the cutting effect of abrasive waterjet, thereby guiding the engineering application of abrasive waterjet cutting of rocks and has great practical application potential.

[0007] According to some embodiments, the present invention adopts the following technical solution:

[0008] A method for predicting the rock-breaking and cutting performance of abrasive waterjet-roll cutter combined, comprising the following steps:

[0009] Obtain the physical property parameters of the rock ahead, and select the corresponding abrasive waterjet cutting depth prediction model according to the category of the known rock physical property parameters;

[0010] Using the aforementioned abrasive waterjet cutting depth prediction model, the cutting depth of the abrasive waterjet is predicted based on rock physical property parameters and operating parameters.

[0011] The rock-breaking force resultant force is calculated based on the CSM model and decomposed to obtain the normal force and rolling force of the cutter rock breaking. Based on the normal force and rolling force, combined with the penetration and cut depth, the relationship between the combined rock-breaking force and the CSM rock-breaking force is established.

[0012] Using the aforementioned relationship and based on the operational parameters, the combined rock-breaking force prediction results are obtained.

[0013] As an alternative implementation method, the specific process of selecting the corresponding abrasive waterjet cut depth prediction model based on the category of known rock physical property parameters includes:

[0014] If the rock type and strength parameters are known, the abrasive waterjet cutting depth prediction model is as follows:

[0015]

[0016] In the formula, H is the kerf depth, Vs is the lateral velocity, P is the pump pressure, h is the target distance, d is the nozzle diameter, T is the number of cuts, and λ0, λ1, λ2, λ3, λ4, and λ5 are undetermined coefficients.

[0017] As an alternative implementation method, if the rock density is known, the abrasive waterjet cutting depth prediction model is as follows:

[0018]

[0019] In the formula, ρ is the rock density, H is the cut depth, Vs is the lateral velocity, P is the pump pressure, h is the target distance, d is the nozzle diameter, T is the number of cuts, and λ0, λ1, λ2, λ3, λ4, and λ5 are undetermined coefficients.

[0020] As a further step, the undetermined coefficients are obtained using nonlinear multiple regression analysis based on existing rock samples.

[0021] As an alternative implementation method, the specific process for calculating the rock-breaking force resultant based on the CSM model includes:

[0022]

[0023]

[0024] In the formula, F t R is the resultant force of the hob; T is the radius of the hob; ψ is the cutting edge width of the hob; and ψ is the cutting edge pressure distribution coefficient, which decreases as the cutting edge width increases. The contact angle between the rock and the disc cutter is φ = arccos((RP) / R); P 0 Basic pressure; σ c σ is the uniaxial compressive strength of the rock. t denoted as σ0, where σ0 is the tensile strength of the rock; S is the cutter spacing; C is a constant; and P is the cutter penetration.

[0025] As an alternative implementation method, the specific process of establishing the relationship between the combined rock-breaking force and the CSM rock-breaking force based on the normal force, rolling force, penetration depth, and cut depth includes:

[0026]

[0027]

[0028] In the formula, F n CM and F r CM The rock-breaking force of the roller cutter when calculating the complete cutting mode using the CSM model; F n c and F r c denoted as the normal force and rolling force of the cutter during combined rock breaking; P is the penetration depth; H is the cut depth; g(P, H) is the relationship function between the combined rock breaking force and the rock breaking force of the complete mode.

[0029] Furthermore, the relationship function between the combined rock-breaking force and the complete mode rock-breaking force varies depending on the cutting mode. The cutting modes include the same trajectory mode and the different trajectory mode. The same trajectory mode indicates that the cutting trajectory of the abrasive water jet on the cutter head overlaps with the cutting trajectory of the hob, while the different trajectory mode indicates that the two cutting trajectories are different.

[0030] Furthermore, the relational functions for different patterns are as follows:

[0031]

[0032] In the formula, F n CM and F rCM The rock-breaking force of the roller cutter when calculating the complete cutting mode using the CSM model; F n SM and F r DM These represent the normal force and rolling force of the cutter during combined rock breaking in the same trajectory mode and different trajectory mode, respectively; P is the penetration depth; H is the cut depth; and a is the cutting depth. i and c i These are the coefficients, i = 1 or 2.

[0033] As a further step, the selection of the cutting mode is determined based on the kerf verification predicted by the abrasive waterjet and the cutter penetration.

[0034] In the same trajectory mode, the optimal kerf spacing is smaller than that in the different trajectory mode, the optimal penetration is greater than that in the different trajectory mode, and the optimal kerf depth is the same for both.

[0035] A system for predicting the results of abrasive waterjet-roll cutter combined rock breaking and cutting includes:

[0036] The model configuration module is configured to select the corresponding abrasive waterjet cutting depth prediction model based on the category of known rock physical property parameters.

[0037] The cutting depth prediction module is configured to use the abrasive waterjet cutting depth prediction model to predict the cutting depth of the abrasive waterjet based on rock physical property parameters and operating parameters.

[0038] The force analysis module is configured to calculate the resultant rock-breaking force based on the CSM model, decompose it to obtain the normal force and rolling force of the cutter rock breaking; and establish the relationship between the combined rock-breaking force and the CSM rock-breaking force based on the normal force and rolling force, combined with the penetration and cut depth.

[0039] The cutting force prediction module is configured to use the relationship to obtain the combined rock breaking force prediction result based on the operating parameters.

[0040] A computer-readable storage medium for storing computer instructions, which, when executed by a processor, perform the steps in the above method.

[0041] An electronic device includes a memory and a processor, as well as computer instructions stored in the memory and running on the processor, wherein the computer instructions, when executed by the processor, perform the steps in the method described above.

[0042] Compared with the prior art, the beneficial effects of the present invention are as follows:

[0043] This invention utilizes known rock strength or density information, combined with data such as rock breaking lateral velocity, target distance, and pump pressure, to accurately predict the cutting depth of abrasive waterjet. Based on the CSM model, it bridges the gap between pure roller cutter rock breaking force calculation and combined cutting rock breaking force calculation, enabling the prediction of rock breaking force under different combined rock breaking modes.

[0044] The prediction results of this invention have high accuracy, and the results can provide a basis for setting parameters for abrasive water jet and TBM combined rock breaking, and can also provide a basis for designing TBM-abrasive water jet combined rock breaking cutterhead.

[0045] This invention can provide a basis for selecting the parameters of the roller cutter and water jet, the combined rock breaking mode, and the advantageous parameters when designing a cutterhead.

[0046] To make the above-mentioned objects, features and advantages of the present invention more apparent and understandable, preferred embodiments are described below in detail with reference to the accompanying drawings. Attached Figure Description

[0047] The accompanying drawings, which form part of this invention, are used to provide a further understanding of the invention. The illustrative embodiments of the invention and their descriptions are used to explain the invention and do not constitute an improper limitation of the invention.

[0048] Figure 1 shows the prediction results of the abrasive waterjet cutting depth of the present invention;

[0049] Figure 2 illustrates the same-trajectory cutting and different-trajectory cutting modes of the present invention;

[0050] Figure 3 shows the abrasive waterjet cutting depth results and prediction results of the present invention;

[0051] Figure 4 is a schematic diagram of the process of the present invention. Detailed implementation method:

[0052] The present invention will be further described below with reference to the accompanying drawings and embodiments.

[0053] It should be noted that the following detailed description is illustrative and intended to provide further explanation of the invention. Unless otherwise specified, all technical and scientific terms used herein have the same meaning as commonly understood by one of ordinary skill in the art to which this invention pertains.

[0054] It should be noted that the terminology used herein is for the purpose of describing particular embodiments only and is not intended to limit the scope of exemplary embodiments according to the invention. As used herein, the singular form is intended to include the plural form as well, unless the context clearly indicates otherwise. Furthermore, it should be understood that when the terms "comprising" and / or "including" are used in this specification, they indicate the presence of features, steps, operations, devices, components, and / or combinations thereof.

[0055] This invention focuses on studying the influence of rock physical properties on the performance of abrasive waterjet cutting. It provides a method for predicting the kerf depth and rock-breaking force of abrasive waterjet cutting, which is related to waterjet cutting parameters and rock physical properties, as shown in Figure 4. This method guides the engineering application of abrasive waterjet cutting of rocks and has great practical application potential.

[0056] First, we will introduce the prediction of cut depth.

[0057] The method for predicting the cutting depth of rocks using abrasive waterjet cutting has two application scenarios: ① when the rock type and strength parameters are known; ② when the rock density is known. The usage of the two prediction formulas is described below.

[0058] ① For rocks with known types and strength parameters. Based on the understanding of the laws of single-factor experiments, the initial prediction model for the cutting depth of abrasive waterjet is assumed to be as shown in formula (1).

[0059]

[0060] In the formula, H is the kerf depth (mm), Vs is the lateral velocity (m / s), P is the pump pressure (MPa), h is the target distance (m), d is the nozzle diameter (m), T is the number of cuts, and λ0, λ1, λ2, λ3, λ4, and λ5 are undetermined coefficients. All undetermined coefficients can be obtained through nonlinear multiple regression analysis.

[0061] This invention provides five rock abrasive waterjet cutting depth prediction models for granite with pressures of 100MPa, 130MPa, 160MPa, and 180MPa, and anorthosite with pressure of 210MPa. Regression analysis was performed on the cutting depth prediction models, and experimental data were substituted into the models for multiple iterations. The calculated coefficients were then substituted back into formula (1) to obtain the cutting depth prediction models for different hard rocks, as shown in formulas (2) to (6).

[0062] 100MPa granite: H1 = 421.848Vs -0.667 h -0.156 P 0.758 d 0.987 T 0.741 (2)

[0063] 130MPa granite: H2 = 357.122Vs -0.723 h -0.182 P 0.731 d 0.951 T 0.751 (3)

[0064] 160MPa granite: H3 = 290.552Vs-0.708 h -0.191 P 0.780 d 0.968 T 0.754 (4)

[0065] 180MPa granite: H4 = 202.792Vs -0.741 h -0.212 P 0.797 d 0.923 T 0.693 (5)

[0066] 210MPa anorthosite: H5=81.462Vs -0.811 h -0.148 P 0.540 d 0.669 T 0.796 (6)

[0067] The abrasive waterjet cutting depth prediction model for the corresponding rock can be calculated using formulas (2) to (6). The experimental results and the cutting depth prediction results are compared in Figure 1.

[0068] ② For rock density ρ that is known. Since rock density has the strongest correlation with cut depth and is easy to obtain among rock material properties, rock density ρ is added as a material property to formula (1), resulting in formula (7). This formula is the formula for predicting the cutting depth of abrasive jets using material density ρ.

[0069]

[0070] In the formula, H is the kerf depth (mm); Vs is the lateral velocity (m / s); P is the pump pressure (MPa); h is the target distance (m); d is the nozzle diameter (m); ρ is the rock density parameter; T is the number of cuts; λ0, λ1, λ2, λ3, λ4, λ5, and λ6 are undetermined coefficients.

[0071] Based on the test results of five types of hard rock, the independent variables in the formula were determined by nonlinear regression analysis, and the abrasive waterjet cutting depth prediction model with rock density as the independent variable was obtained, as shown in formula (8).

[0072] H = 6845.215ρ -3.328 Vs -0.717 h -0.182 P 0.749 d 0.931 T 0.737 (8)

[0073] During use, inputting data such as rock density ρ, lateral velocity Vs, target distance h, number of cuts T, nozzle diameter d, and pump pressure P will yield the cutting depth H of the abrasive waterjet.

[0074] The results calculated by this formula were compared with the experimental results, as shown in Figure 3. The figure shows that the error is within 5%, verifying the effectiveness of this prediction formula.

[0075] Next, we introduce the method for predicting the rock-breaking force of abrasive waterjet-TBM roller cutter combined cutting, as shown in formulas (9) and (10).

[0076]

[0077]

[0078] In the formula, F n CM and F r CM The rock-breaking force of the roller cutter when calculating the complete cutting mode using the CSM model; F n SM and F r DM Figure 2 shows the normal force and rolling force of the cutter during combined rock breaking in the same trajectory mode (SM) and different trajectory mode (DM), respectively; P is the penetration depth; and H is the cut depth. Different trajectory cutting modes are shown in Figure 2.

[0079] In the application process, the rock-breaking force resultant force F is first calculated based on the CSM model. t The calculation formulas are shown in formulas (11) and (12).

[0080]

[0081]

[0082] In the formula, F t R is the resultant force of the hob; T is the radius of the hob; ψ is the cutting edge width of the hob; ψ is the cutting edge pressure distribution coefficient, which decreases as the cutting edge width increases (-0.2 to 0.2). The contact angle between the rock and the disc cutter is φ = arccos((RP) / R); P 0 Basic pressure; σ c σ is the uniaxial compressive strength of the rock. t S is the tensile strength of the rock; S is the cutter spacing; C is a constant approximately equal to 2.12; P is the cutter penetration.

[0083] By decomposing the resultant rock-breaking force, we can obtain the normal force F of the rock-breaking cutter. n and rolling force F rThe calculation equation is shown in formula (13).

[0084]

[0085] The results of the combined rock-breaking test show that the reduction in rock-breaking force caused by abrasive waterjet cutting is mainly determined by the penetration depth P and the cut depth H. Therefore, the normal force F obtained by formula (13) can be used to reduce the rock-breaking force. n and rolling force F r A relationship between the combined rock-breaking force and the CSM rock-breaking force, determined by multiple factors, can be established, as shown in formula (14).

[0086]

[0087] In the formula, F n CM and F r CM The rock-breaking force of the roller cutter when calculating the complete cutting mode using the CSM model; F n c and F r c denoted as the normal force and rolling force of the cutter during combined rock breaking; P is the penetration depth; H is the cut depth; g(P, H) is the relationship function between the combined rock breaking force and the rock breaking force of the complete mode.

[0088] By distinguishing the relational functions in formulas (9) and (10) according to the same and different trajectories, and selecting different undetermined coefficients according to different cutting modes, the calculation formulas for the combined rock breaking force of abrasive water jet-TBM roller cutter under different rock breaking modes can be obtained.

[0089] Cutting modes include same trajectory mode and different trajectory mode.

[0090] The applicability of the combined trajectory mode was studied, using the normal force of the two rock-breaking modes as the standard to compare and clarify the applicability of the two trajectory combined modes. This embodiment takes into account that the most direct evaluation index for improving the rock-breaking efficiency of the cutter and reducing abnormal cutter damage is the cutter normal force. The selection of the dominant rock-breaking parameters integrates both rock-breaking force and rock-breaking specific energy.

[0091] As shown in Table 1, the selection of the combined rock-breaking mode should be determined by combining the predicted kerf depth of the abrasive waterjet and the penetration depth of the cutter. Research on the advantageous rock-breaking parameters of combined same-track and different-track rock-breaking modes shows that the optimal kerf spacing is smaller in the same-track mode than in the different-track mode, while the optimal penetration depth is greater. The optimal kerf depth is 6 mm in both modes. It is evident that both rock-breaking modes have their own characteristics. Therefore, it is recommended that the combined rock-breaking mode and design parameters be selected based on specific requirements when designing an abrasive waterjet-cutter combined rock-breaking TBM.

[0092] Table 1

[0093]

[0094] The values ​​mentioned above are exemplary values ​​for this embodiment and are not limited thereto. In other embodiments, adjustments can be made according to specific conditions such as rock type and operation.

[0095] Based on field tests and geophysical exploration results, this invention can predict the cutting depth and combined rock-breaking force of abrasive water jets. Comparison shows that the predicted results fit the experimental results well, exhibiting high accuracy. The results can provide a basis for setting parameters for abrasive water jets and TBM combined rock-breaking parameters, and can also provide a basis for the design of TBM-abrasive water jet combined rock-breaking cutterheads.

[0096] The above description is merely a preferred embodiment of the present invention and is not intended to limit the invention. Various modifications and variations can be made to the present invention by those skilled in the art. Any modifications, equivalent substitutions, improvements, etc., that can be made by those skilled in the art without creative effort within the spirit and principles of the present invention should be included within the scope of protection of the present invention.

Claims

1. A method for predicting the rock-breaking and cutting performance of abrasive waterjet-roller combined cutting, characterized in that, Includes the following steps: Obtain the physical property parameters of the rock ahead, and select the corresponding abrasive waterjet cutting depth prediction model according to the category of the known rock physical property parameters; use the abrasive waterjet cutting depth prediction model to predict the cutting depth of the abrasive waterjet based on the rock physical property parameters and the operation parameters. The rock-breaking force resultant force is calculated based on the CSM model and decomposed to obtain the normal force and rolling force of the cutter rock breaking. Based on the normal force and rolling force, combined with the penetration and cut depth, the relationship between the combined rock-breaking force and the CSM rock-breaking force is established. Using the aforementioned relationship and based on the operational parameters, the combined rock-breaking force prediction results are obtained; The specific process of calculating the resultant rock-breaking force based on the CSM model includes: In the formula, F t R is the resultant force of the hob; T is the radius of the hob; ψ is the cutting edge width of the hob; ψ is the cutting edge pressure distribution coefficient, which decreases as the cutting edge width increases; φ is the contact angle between the rock and the disc hob. ;P 0 Basic pressure; The uniaxial compressive strength of the rock; Where S is the tensile strength of the rock; C is the cutter spacing; P is the cutter penetration; the specific process of establishing the relationship between the combined rock-breaking force and the CSM rock-breaking force based on the normal force, rolling force, penetration, and cut depth includes: In the formula, F n CM and F r CM The rock-breaking force of the roller cutter when calculating the complete cutting mode using the CSM model; F n c and F r c Let P be the normal force and rolling force of the cutter during combined rock breaking; H be the penetration depth; and g(P, H) be the relationship function between the combined rock breaking force and the complete mode rock breaking force. This relationship function varies depending on the cutting mode, which includes both same-trajectory and different-trajectory modes. The same-trajectory mode indicates that the cutting trajectory of the abrasive water jet on the cutterhead overlaps with the cutting trajectory of the cutter, while the different-trajectory mode indicates that their cutting trajectories are different. The relationship functions for different modes are as follows: In the formula, F n CM and F r CM The rock-breaking force of the roller cutter when calculating the complete cutting mode using the CSM model; F n SM and F r DM These represent the normal force and rolling force of the cutter during combined rock breaking in the same trajectory mode and different trajectory mode, respectively; P is the penetration depth; H is the cut depth; and a is the cutting depth. i and c i These are the coefficients, i = 1 or 2.

2. The method for predicting the rock-breaking and cutting performance of abrasive waterjet-roll cutter combined as described in claim 1, characterized in that, The specific process of selecting the corresponding abrasive waterjet cut depth prediction model based on the known rock physical property parameters includes: If the rock type and strength parameters are known, the abrasive waterjet cut depth prediction model is: In the formula, H is the kerf depth, Vs is the lateral velocity, P is the pump pressure, h is the target distance, d is the nozzle diameter, T is the number of cuts, and λ0, λ1, λ2, λ3, λ4, and λ5 are undetermined coefficients.

3. The method for predicting the rock-breaking and cutting performance of abrasive waterjet-roll cutter combined as described in claim 1, characterized in that, If the rock density is known, the abrasive waterjet cutting depth prediction model is as follows: In the formula, ρ is the rock density, H is the cut depth, Vs is the lateral velocity, P is the pump pressure, h is the target distance, d is the nozzle diameter, T is the number of cuts, and λ0, λ1, λ2, λ3, λ4, and λ5 are undetermined coefficients.

4. A method for predicting the rock-breaking and cutting performance of abrasive waterjet-roll cutter combined as described in claim 2 or 3, characterized in that, The undetermined coefficients were obtained using nonlinear multiple regression analysis based on existing rock samples.

5. The method for predicting the rock-breaking and cutting performance of abrasive waterjet-roll cutter combined as described in claim 1, characterized in that, The selection of the cutting mode is determined based on the kerf verification predicted by the abrasive waterjet and the penetration of the hob.

6. The method for predicting the rock-breaking and cutting performance of abrasive waterjet-roll cutter combined as described in claim 1, characterized in that, In the same trajectory mode, the optimal kerf spacing is smaller than that in the different trajectory mode, the optimal penetration is greater than that in the different trajectory mode, and the optimal kerf depth is the same for both.

7. A system for predicting the results of abrasive waterjet-roll cutter combined rock breaking and cutting, using the method described in claim 1, characterized in that it comprises: The model configuration module is configured to select the corresponding abrasive waterjet cutting depth prediction model based on the category of known rock physical property parameters. The cutting depth prediction module is configured to use the abrasive waterjet cutting depth prediction model to predict the cutting depth of the abrasive waterjet based on rock physical property parameters and operating parameters. The force analysis module is configured to calculate the resultant rock-breaking force based on the CSM model, decompose it to obtain the normal force and rolling force of the cutter rock breaking; and establish the relationship between the combined rock-breaking force and the CSM rock-breaking force based on the normal force and rolling force, combined with the penetration and cut depth. The cutting force prediction module is configured to use the relationship to obtain the combined rock breaking force prediction result based on the operating parameters.

8. A computer-readable storage medium, characterized in that, Used to store computer instructions, which, when executed by a processor, complete the steps of the method according to any one of claims 1-6.

9. An electronic device, characterized in that, It includes a memory and a processor, as well as computer instructions stored in the memory and running on the processor, which, when executed by the processor, perform the steps of the method according to any one of claims 1-6.

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