Representation method for irregular surface boundary of strip mine

Abstract

The invention provides a characterization method for an irregular surface boundary of an open-pit mine, and belongs to the technical field of open-pit coal mining, and the characterization method comprises the steps: selecting a representative key position as a feature point of the irregular boundary of the open-pit mine according to the mining boundary of the open-pit mine and in combination with a field slope turning region, a surface important structure region and a fault structure region; global parameters are introduced, continuous mapping of the global parameters and the mining boundary is established according to the total length of the irregular boundary of the strip mine and the accumulated length of the irregular boundary of the strip mine, and a local parameter expression based on continuous mapping is obtained; substituting the local parameter expression based on continuous mapping into the local parameter equation of the corresponding line segment to obtain a representation result of the irregular surface boundary of the strip mine; according to the method, accurate and simple representation of the complex irregular realm is realized, ore loss and extra stripping amount caused by inaccurate realm description are reduced from the source, and the resource recovery rate and mining realm benefits are improved.

Description

TECHNICAL FIELD

[0001] The present application belongs to the technical field of open-pit coal mining, and particularly relates to a method for representing irregular surface boundaries of an open-pit mine. BACKGROUND

[0002] In the prior art, the method for representing irregular surface boundaries of an open-pit mine has the following advantages: 1. It can accurately describe the complex boundaries of an open-pit mine, support dynamic adjustment of the boundaries, quickly redesign the mining plan, and provide accurate basic data for subsequent production planning; 2. It can quickly generate boundary curves, improve design efficiency, realize boundary visualization, and facilitate mining simulation analysis.

[0003] Patent CN114676874A discloses a method and system for overall optimization of metal open-pit mine boundaries and mining plans. The method considers the boundaries and mining plans as a whole, optimizes the mining plans in the candidate boundaries, and can improve the accuracy and rationality of the mining plans. Patent CN114676952A discloses a method and system for optimizing the boundaries of an open-pit mine considering the ecological environment. The method uses an iterative method to determine the ecologically optimal boundaries based on a boundary ecological optimization model, improving the accuracy and comprehensiveness of determining the boundaries of an open-pit mine. Patent CN120181602A discloses a method for optimizing the boundaries of an open-pit mine considering both carbon emissions and slope safety. The method quantitatively considers carbon emissions and slope safety factors in boundary optimization, calculates the comprehensive evaluation index of all boundary sequences, and obtains the optimal boundary, which is conducive to the sustainable development of the mine.

[0004] These patents all focus on the optimization method of open-pit mine boundaries and do not consider how to accurately describe the irregular boundaries of an open-pit mine, resulting in a large deviation between the designed boundaries and the actual boundaries, making it difficult to accurately describe the complex boundary shape and easily causing ore loss and increasing additional stripping amount. Therefore, there is an urgent need to seek a method for representing the irregular boundaries of an open-pit mine, which can not only quickly, simply and efficiently describe the complex boundary shape, but also provide a theoretical basis for the dynamic calculation of the length of the working line in the subsequent open-pit coal mining plan. SUMMARY

[0005] To overcome the shortcomings of the prior art, the present application provides a method for representing irregular surface boundaries of an open-pit mine, which comprises:

[0006] According to the mining boundaries of an open-pit mine, and in combination with the representative key positions selected as the feature points of the irregular boundaries of an open-pit mine in the field slope turning area, the surface important structure area, and the fault structure area, the coordinates of each feature point are obtained.

[0007] In counterclockwise order, taking two endpoints in each line segment of the irregular boundary of the open-pit mine as a line segment starting point and a line segment ending point, introducing a local parameter, determining a local parameter equation of each line segment in the irregular boundary of the open-pit mine;

[0008] According to the starting point coordinates and the ending point coordinates in each line segment, determining a length of each line segment in the irregular boundary of the open-pit mine;

[0009] According to the length of each line segment in the irregular boundary of the open-pit mine, calculating a total length of the irregular boundary of the open-pit mine;

[0010] According to the length of each line segment in the irregular boundary of the open-pit mine, calculating a cumulative length of the irregular boundary of the open-pit mine;

[0011] Introducing a global parameter, according to the total length of the irregular boundary of the open-pit mine and the cumulative length of the irregular boundary of the open-pit mine, establishing a continuous mapping between the global parameter and the mining boundary, obtaining a local parameter expression based on the continuous mapping;

[0012] Substituting the local parameter expression based on the continuous mapping into the local parameter equation of the corresponding line segment, obtaining a continuous parameter equation, the continuous parameter equation being a representation result of the irregular surface boundary of the open-pit mine, used for determining a working line length in the open-pit coal mining plan.

[0013] The introducing of the local parameter, the determination of the local parameter equation of each line segment in the irregular boundary of the open-pit mine, the calculation formula is as follows:

[0014] ;

[0015] Wherein, is a local parameter, , is the starting point coordinates of the feature points of the irregular boundary of the open-pit mine, , is the ending point coordinates of the feature points of the irregular boundary of the open-pit mine, the local parameter equation of each line segment in the irregular boundary of the open-pit mine, is an expression of the x variable of the local parameter equation of each line segment in the irregular boundary of the open-pit mine, is an expression of the y variable of the local parameter equation of each line segment in the irregular boundary of the open-pit mine.

[0016] The determination of the length of each line segment in the irregular boundary of the open-pit mine according to the starting point coordinates and the ending point coordinates in each line segment, the calculation formula is as follows:

[0017] ;

[0018] Wherein, is the length of each line segment in the irregular boundary of the open-pit mine, i.e., the length of the line segment between the i th feature point and the i+1 th feature point of adjacent feature points, is the x-axis coordinate of the i th feature point, is the y-axis coordinate of the i th feature point, is the x-axis coordinate of the i+1 th feature point, is the y-axis coordinate of the i+1 th feature point.

[0019] The total length of the irregular boundary of the open-pit mine is calculated according to the length of each line segment in the irregular boundary of the open-pit mine, and the calculation formula is as follows:

[0020] ;

[0021] wherein, is the total length of the irregular boundary of the open-pit mine, is the length of each line segment in the irregular boundary of the open-pit mine, i.e., the length of the line segment between the i th feature point and the i+1 th feature point of adjacent feature points, and n is the total number of line segments in the irregular boundary of the open-pit mine.

[0022] The cumulative length of the irregular boundary of the open-pit mine is calculated according to the length of each line segment in the irregular boundary of the open-pit mine, and the calculation formula is as follows:

[0023] ;

[0024] wherein, is the cumulative length of the irregular boundary of the open-pit mine, indicating the cumulative path length from the starting point P1 to the i th feature point P i in the counterclockwise direction along the boundary, n is the total number of line segments in the irregular boundary of the open-pit mine, and k is an integer index indicating the sequential number of the feature point.

[0025] The global parameter is introduced, and the continuous mapping of the global parameter and the mining boundary is established according to the total length of the irregular boundary of the open-pit mine and the cumulative length of the irregular boundary of the open-pit mine, to obtain a local parameter expression based on the continuous mapping, including:

[0026] When the global parameter u is in the interval , then the feature point is on the line segment l i , and the local parameter expression based on the continuous mapping is wherein, is the length of each line segment in the irregular boundary of the open-pit mine, i.e., the length of the line segment between the i th feature point and the i+1 th feature point of adjacent feature points, is the total length of the irregular boundary of the open-pit mine, is the global parameter, The cumulative length of the irregular boundary of the open-pit mine is represented by the length accumulated from the starting point P1 along the boundary in a counterclockwise direction to the i-th feature point P. i The cumulative path length at that time The cumulative length of the irregular boundary of the open-pit mine is represented by the length accumulated from the starting point P1 along the boundary in a counterclockwise direction to the (i+1)th feature point P. i+1 The cumulative path length at that time For local parameters, Let be the arc length, and .

[0027] The local parameter expression based on continuous mapping is substituted into the local parameter equation of the corresponding line segment to obtain the continuous parameter equation, which is calculated as follows:

[0028] ;

[0029] in, For continuous parametric equations based on global parameters, For global parameters, ( , ) represents the starting coordinates of the irregular boundary feature points of the open-pit mine. , () represents the endpoint coordinates of the irregular boundary feature points in the open-pit mine. Let be the arc length, and , The total length of the irregular boundary of the open-pit mine. Let be the length of each line segment in the irregular boundary of the open-pit mine, that is, the length of the line segment between adjacent feature points, i.e., the length between the i-th feature point and the (i+1)-th feature point. The cumulative length of the irregular boundary of the open-pit mine is represented by the length accumulated from the starting point P1 along the boundary in a counterclockwise direction to the i-th feature point P. i The cumulative path length at that time The cumulative length of the irregular boundary of the open-pit mine is represented by the length accumulated from the starting point P1 along the boundary in a counterclockwise direction to the (i+1)th feature point P. i+1 The cumulative path length at that time Let x be the expression for the continuous parametric equation. Let y be the expression for the continuous parametric equation.

[0030] Beneficial effects:

[0031] This application proposes a method for characterizing irregular surface boundaries in open-pit mines, with the following technical effects:

[0032] 1. The method realizes accurate and concise characterization of complex irregular boundaries, reduces ore loss and additional stripping caused by inaccurate boundary description from the source, and improves resource recovery rate and mining boundary benefit;

[0033] 2. The method provides a solid theoretical basis for working line length calculation in mining design, and provides reliable parameters for preparing detailed mining plan, optimizing equipment configuration and simulating mining. BRIEF DESCRIPTION OF DRAWINGS

[0034] Figure 1 A flowchart of a method for characterizing irregular surface boundaries of an open-pit mine according to an embodiment of the present application;

[0035] Figure 2 A schematic diagram of the distribution of feature points of irregular surface boundaries of an open-pit mine according to an embodiment of the present application;

[0036] Figure 3 A schematic diagram of a line segment parameter equation between adjacent feature points of irregular surface boundaries of an open-pit mine according to an embodiment of the present application;

[0037] Figure 4 A schematic diagram of the length of a line segment between adjacent feature points of irregular surface boundaries of an open-pit mine according to an embodiment of the present application;

[0038] Figure 5 A schematic diagram of a continuous parameter equation of irregular surface boundaries of an open-pit mine according to an embodiment of the present application. DETAILED DESCRIPTION

[0039] The specific embodiments of the present application will be described in further detail below in conjunction with the drawings and examples.

[0040] Example 1

[0041] The present application proposes a method for characterizing irregular surface boundaries of an open-pit mine, as described above, which comprises: Figure 1

[0042] Step S1: According to the mining boundary of the open-pit mine, and in combination with the site slope turning area, the surface important structure area, and the fault structure area, representative key positions are selected as feature points of the irregular boundary of the open-pit mine, and the coordinates of each feature point are obtained;

[0043] In this embodiment, according to the mining boundary of the open-pit mine, and in combination with the site slope turning area, the surface important structure area, and the fault structure area, representative key positions are selected as feature points of the irregular boundary of the open-pit mine, and are named as P1(x1, y1), P2(x2, y2), …, Pn(xn, yn) respectively. n n n ​​​); specifically: according to the open-pit mining boundary, and in combination with the site slope turning area, the surface important structure area, and the fault structure area, nine representative key positions are selected as the open-pit irregular boundary feature points, which are P1(0, 0), P2(100, 0), P3(200, 100), P4(200, 200), P5(100, 200), P6(100, 150), P7(50, 150), P8(50, 100), and P9(0, 100), two points are connected by a straight line, as shown in Figure 2 ;

[0044] Step S2: in a counterclockwise order, the two end points in each line segment of the open-pit irregular boundary are set as a line segment starting point and a line segment ending point, a local parameter is introduced, and the local parameter equation of each line segment in the open-pit irregular boundary is determined;

[0045] In this embodiment, in a counterclockwise order, the starting point coordinates of the open-pit irregular boundary feature points are set as (x i ,y i ), the ending point coordinates of the open-pit irregular boundary feature points are set as (x i+1 ,y i+1 ), a local parameter is introduced, and the parameter equation f i (t) of the line segment between adjacent feature points is determined, and the calculation formula is:

[0046]

[0047] wherein, is the local parameter, (x i ,y i ) is the starting point coordinates of the open-pit irregular boundary feature points, (x i+1 ,y i+1 ) is the ending point coordinates of the open-pit irregular boundary feature points, is the local parameter equation of each line segment in the open-pit irregular boundary, is the expression of the x variable of the local parameter equation of each line segment in the open-pit irregular boundary, is the expression of the y variable of the local parameter equation of each line segment in the open-pit irregular boundary.

[0048] Specifically, as shown in Figure 3 ;

[0049] Line segment l1: P1(0, 0) - P2(100, 0);

[0050] ;

[0051] Line segment l2: P2(100, 0) - P3(200, 100);

[0052] ;

[0053] Line segment l3: P3(200, 100) - P4(200, 200);

[0054] ;

[0055] Line segment l4: P4(200, 200) - P5(100, 200);

[0056] ;

[0057] Line segment l5: P5(100, 200) - P6(100, 150);

[0058] ;

[0059] Line segment l6: P6(100, 150) - P7(50, 150);

[0060] ;

[0061] Line segment l7: P7(50, 150) - P8(50, 100);

[0062] ;

[0063] Line segment l8: P8(50, 100) - P9(0, 100);

[0064] ;

[0065] Line segment l9: P9(0, 100) - P1(0, 0);

[0066] ;

[0067] Step S3: According to the starting point coordinates and the end point coordinates in each line segment, the length of each line segment in the irregular boundary of the open-pit mine is determined, and the calculation formula is as follows:

[0068] ;

[0069] wherein, is the length of each line segment in the irregular boundary of the open-pit mine, i.e. the length of the line segment between the i th feature point and the i+1 th feature point of the adjacent feature points, is the x-axis coordinate of the i th feature point, is the y-axis coordinate of the i th feature point, is the x-axis coordinate of the i th feature point, is the y-axis coordinate of the i th feature point.

[0070] In this embodiment, according to the feature point coordinates, the length of each line segment in the irregular boundary of the open-pit mine is determined as follows:

[0071] Line segment l1: P1 (0, 0) - P2 (100, 0);

[0072] ;

[0073] Line segment l2: P2 (100, 0) - P3 (200, 100);

[0074] ;

[0075] Line segment l3: P3 (200, 100) - P4 (200, 200);

[0076] ;

[0077] Line segment l4: P4 (200, 200) - P5 (100, 200);

[0078] ;

[0079] Line segment l5: P5 (100, 200) - P6 (100, 150);

[0080] ;

[0081] Line segment l6: P6 (100, 150) - P7 (50, 150);

[0082] ;

[0083] Line segment l7: P7 (50, 150) - P8 (50, 100);

[0084] ;

[0085] Line segment l8: P8 (50, 100) - P9 (0, 100);

[0086] ;

[0087] Line segment l9: P9 (0, 100) - P1 (0, 0);

[0088] ;

[0089] Length of line segment between adjacent feature points i , as shown in the figure; Figure 4

[0090] ​Step S4: According to the length of each line segment in the irregular boundary of the open-pit mine, the total length of the irregular boundary of the open-pit mine is calculated, and the calculation formula is as follows:

[0091] ;

[0092] wherein, is the total length of the irregular boundary of the open-pit mine, is the length of each line segment in the irregular boundary of the open-pit mine, that is, the length of the line segment between the i th feature point and the i+1 th feature point of the adjacent feature points, and n is the total number of line segments in the irregular boundary of the open-pit mine.

[0093] In this embodiment, according to the length of the line segment between the adjacent feature points l i , the total length L of the irregular boundary of the open-pit mine is calculated:

[0094] ;

[0095] Step S5: According to the length of each line segment in the irregular boundary of the open-pit mine, the cumulative length of the irregular boundary is calculated, and the calculation formula is as follows:

[0096] ;

[0097] wherein, is the cumulative length of the irregular boundary of the open-pit mine, represents the cumulative path length when the i th feature point P i is reached in the counterclockwise direction along the boundary of the boundary starting from the starting point P1, n is the total number of line segments in the irregular boundary of the open-pit mine, and k is an integer index representing the sequential number of the feature point.

[0098] In this embodiment, according to the length of the line segment between the adjacent feature points l i , the cumulative length S k of the irregular boundary of the open-pit mine is calculated;

[0099] ;

[0100] ;

[0101] ;

[0102] ;

[0103] ;

[0104] ;

[0105] ;

[0106] ;

[0107] ;

[0108] ;

[0109] Step S6: Introduce global parameters. Based on the total length and cumulative length of the irregular boundary of the open-pit mine, establish a continuous mapping between the global parameters and the mining boundary, and obtain the local parameter expressions based on the continuous mapping, including:

[0110] When the global parameter u is in the interval When the feature point is in line segment l, then the feature point is in line segment l. i Above, local parameter expressions based on continuous mapping ,in, Let be the length of each line segment in the irregular boundary of the open-pit mine, that is, the length of the line segment between adjacent feature points, i.e., the length between the i-th feature point and the (i+1)-th feature point. The total length of the irregular boundary of the open-pit mine. These are global parameters. The cumulative length of the irregular boundary of the open-pit mine is represented by the length accumulated from the starting point P1 along the boundary in a counterclockwise direction to the i-th feature point P. i The cumulative path length at that time The cumulative length of the irregular boundary of the open-pit mine is represented by the length accumulated from the starting point P1 along the boundary in a counterclockwise direction to the (i+1)th feature point P. i+1 The cumulative path length at that time For local parameters, Let be the arc length, and .

[0111] Step S7: Substitute the local parameter expression based on continuous mapping into the local parameter equation of the corresponding line segment to obtain the continuous parameter equation. The continuous parameter equation is the characterization result of the irregular surface boundary of the open-pit mine and is used to determine the working line length in the open-pit coal mine mining plan.

[0112] The local parameter expression based on continuous mapping is substituted into the parametric equation of the corresponding line segment to obtain the continuous parameter equation, and the calculation formula is as follows:

[0113] ;

[0114] in, For continuous parametric equations based on global parameters, For global parameters, ( , ) represents the starting coordinates of the irregular boundary feature points of the open-pit mine. , ) is the end point coordinate of the irregular boundary feature point of the open-pit mine, is the arc length, and , is the total length of the irregular boundary of the open-pit mine, is the length of each line segment in the irregular boundary of the open-pit mine, that is, the length of the line segment between the i-th feature point and the i+1-th feature point of adjacent feature points, is the cumulative length of the irregular boundary of the open-pit mine, which represents the cumulative path length from the starting point P1 to the i-th feature point P i in the counterclockwise direction along the boundary, is the cumulative length of the irregular boundary of the open-pit mine, which represents the cumulative path length from the starting point P1 to the i+1-th feature point P i+1 in the counterclockwise direction along the boundary, is the expression of the x variable of the continuous parameter equation, is the expression of the y variable of the continuous parameter equation.

[0115] In this embodiment, a global parameter is introduced to establish a continuous mapping with the mining boundary. When u is in the interval , the point is on the line segment l i , and the local parameter , where the arc length , the continuous parameter equation g i (u) is obtained by bringing t into the corresponding line segment parameter equation, as shown in the following. Figure 5

[0116] Line segment l1: (0, 0) — (100, 0);

[0117] ;

[0118] Line segment l2: (100, 0) — (200, 100);

[0119] ;

[0120] Line segment l3: (200, 100) — (200, 200);

[0121] ;

[0122] Line segment l4: (200, 200) — (100, 200);

[0123] ;

[0124] Line segment l5: (100, 200) — (100, 150);

[0125] ​ ;

[0126] Line segment l6: (100, 150) -- (50, 150);

[0127] ;

[0128] Line segment l7: (50, 150) -- (50, 100);

[0129] ;

[0130] Line segment l8: (50, 100) -- (0, 100);

[0131] ;

[0132] Line segment l9: (0, 100) -- (0, 0);

[0133] .

[0134] In this embodiment, the continuous parametric equation is the representation result of the irregular surface boundary of the open-pit mine, which is used to determine the length of the working line in the open-pit coal mining plan. This embodiment accurately describes the irregular boundary of the open-pit mine, greatly reduces the deviation between the designed boundary and the actual boundary, and can quickly, simply and efficiently describe the complex boundary form. Moreover, it can provide a theoretical basis for the dynamic calculation of the length of the working line in the subsequent open-pit coal mining plan.

[0135] Embodiment 2:

[0136] This embodiment provides an electronic device, comprising one or more processors, and a memory, the memory is used to store instructions, when the instructions are executed by the one or more processors, the one or more processors execute the representation method of the irregular surface boundary of the open-pit mine.

[0137] The electronic device can be a mobile phone, a computer or a tablet computer, etc., comprising a memory and a processor, the memory stores a computer program, and the computer program is executed by the processor to realize the representation method of the irregular surface boundary of the open-pit mine as described in the embodiment. It can be understood that the electronic device can also include an input / output (I / O) interface and a communication component.

[0138] The processor is used to execute all or part of the steps of the representation method of the irregular surface boundary of the open-pit mine as described in the above embodiment. The memory is used to store various types of data, which may, for example, include instructions of any application program or method in the electronic device, and application program related data.

[0139] The processor can be an Application Specific Integrated Cricuit (ASIC), a Digital Signal Processor (DSP), a Programmable Logic Device (PLD), a Field Programmable Gate Array (FPGA), a controller, a microcontroller, a microprocessor, or other electronic elements, which are used to execute the method for representing the irregular surface boundary of an open-pit mine described in the above embodiments.

[0140] Embodiment 3

[0141] The embodiment provides a computer readable storage medium storing executable instructions, which, when executed, can be stored in one computer readable storage medium if implemented in the form of a software function unit and sold or used as an independent product.

[0142] The computer software product is stored in a storage medium and includes a plurality of instructions for causing a computer device (which can be a personal computer, a server, or a network device, etc.) to execute all or part of the steps of the method for representing the irregular surface boundary of an open-pit mine described in various embodiments of the present application.

[0143] The storage medium includes a flash memory, a hard disk, a multimedia card, a card-type memory (for example, an SD (Secure Digital Memory Card) or a DX (an abbreviation of Memory Data Register, MDR) memory, etc.), a random access memory (RAM), a static random access memory (SRAM), a read-only memory (ROM), an electrically erasable programmable read-only memory (EEPROM), a programmable read-only memory (PROM), a magnetic memory, a magnetic disk, an optical disk, a server, an APP (an abbreviation of Application) application store, and various media capable of storing program check codes, on which a computer program is stored, and the computer program can implement the steps of the method for representing the irregular surface boundary of an open-pit mine when executed by a processor.

[0144] Embodiment 4:

[0145] The embodiment provides a computer program product comprising computer programs or instructions, which, when executed by a processor, implement the method for representing an irregular surface boundary of an open-pit mine.

[0146] Based on such understanding, the technical solution of the present application, in essence, or the part that contributes to the prior art, or the part of the technical solution can be embodied in the form of a computer program product.

[0147] The various embodiments in the present application are described in a progressive manner, and the same or similar parts between the various embodiments can be referred to each other. Each embodiment mainly explains the difference from other embodiments.

[0148] The protection scope of the present application is not limited to the above-mentioned embodiments. Obviously, those skilled in the art can make various modifications and changes to the present disclosure without departing from the scope and spirit of the present disclosure. If these modifications and changes belong to the scope of equivalent technologies of the present disclosure, the present disclosure also intends to include these modifications and changes.

Claims

1. A method of characterizing the irregular surface boundary of an open pit mine, characterized by, The method comprises the following steps: According to the open-pit mining boundary, and in combination with the representative key positions selected as the feature points of the open-pit irregular boundary in the turning area of the site slope, the area of important surface structures, and the fault structure area, the coordinates of each feature point are obtained; In a counterclockwise order, the two endpoints of each line segment in the open-pit irregular boundary are set as the line segment starting point and the line segment ending point, a local parameter is introduced, and the local parameter equation of each line segment in the open-pit irregular boundary is determined; According to the starting point coordinates and the ending point coordinates of each line segment, the length of each line segment in the open-pit irregular boundary is determined; According to the length of each line segment in the open-pit irregular boundary, the total length of the open-pit irregular boundary is calculated; According to the length of each line segment in the open-pit irregular boundary, the cumulative length of the open-pit irregular boundary is calculated; A global parameter is introduced, a continuous mapping between the global parameter and the mining boundary is established according to the total length of the open-pit irregular boundary and the cumulative length of the open-pit irregular boundary, a local parameter expression based on the continuous mapping is obtained, and the local parameter expression based on the continuous mapping is substituted into the local parameter equation of the corresponding line segment to obtain a continuous parameter equation, which is a representation result of the open-pit irregular surface boundary and is used for determining the working line length in the open-pit coal mining plan. The local parameter is introduced, and the local parameter equation of each line segment in the open-pit irregular boundary is determined, and the calculation formula is as follows:

2. A method of characterizing an irregular surface boundary of an open pit mine according to claim 1, characterized in that, According to the starting point coordinates and the ending point coordinates of each line segment, the length of each line segment in the open-pit irregular boundary is determined, and the calculation formula is as follows: ； wherein, is a local parameter, , is the start point coordinate of the irregular boundary feature point of the open pit, , is the end point coordinate of the irregular boundary feature point of the open pit, is the local parameter equation of each line segment in the irregular boundary of the open pit, is the expression of the x variable of the local parameter equation of each line segment in the irregular boundary of the open pit, is the expression of the y variable of the local parameter equation of each line segment in the irregular boundary of the open pit.

3. A method of characterizing an irregular surface boundary of an open pit mine according to claim 1, characterized in that, According to the length of each line segment in the open-pit irregular boundary, the total length of the open-pit irregular boundary is calculated, and the calculation formula is as follows: ； wherein, is the length of each line segment in the irregular boundary of the open-pit mine, i.e., the length of the line segment between the i th feature point and the i+1 th feature point of adjacent feature points, is the x-axis coordinate of the i th feature point, is the y-axis coordinate of the i th feature point, is the x-axis coordinate of the i+1 th feature point, is the y-axis coordinate of the i+1 th feature point.

4. A method of characterizing an irregular surface boundary of an open pit mine according to claim 1, characterized in that, According to the length of each line segment in the open-pit irregular boundary, the cumulative length of the open-pit irregular boundary is calculated, and the calculation formula is as follows: ； wherein, is the total length of the irregular boundary of the open-pit mine, is the length of each line segment in the irregular boundary of the open-pit mine, i.e. the length of the line segment between the i-th feature point and the i+1-th feature point of the adjacent feature points, and n is the total number of line segments in the irregular boundary of the open-pit mine.

5. A method of characterizing an irregular surface boundary of an open pit mine according to claim 1, characterized in that, The global parameter is introduced, a continuous mapping between the global parameter and the mining boundary is established according to the total length of the open-pit irregular boundary and the cumulative length of the open-pit irregular boundary, a local parameter expression based on the continuous mapping is obtained, and the local parameter expression based on the continuous mapping is substituted into the local parameter equation of the corresponding line segment to obtain a continuous parameter equation, which is a representation result of the open-pit irregular surface boundary and is used for determining the working line length in the open-pit coal mining plan. ； wherein, is the accumulated length of the irregular boundary of the open-pit mine, indicating the accumulated path length from the starting point P1 to the i-th feature point P i in the counterclockwise direction along the boundary, n is the total number of midline segments in the irregular boundary of the open-pit mine, and k is an integer index indicating the sequential number of the feature point.

6. A method of characterizing an irregular surface boundary of an open pit mine according to claim 1, characterized in that, The local parameter is introduced, and the local parameter equation of each line segment in the open-pit irregular boundary is determined, and the calculation formula is as follows: When the global parameter u is in the interval , then the feature point is on the line segment l i , based on the local parameter expression of the continuous mapping , where is the length of each line segment in the irregular boundary of the open-pit mine, i.e., the length of the line segment between the i-th feature point and the i+1-th feature point of the adjacent feature points, is the total length of the irregular boundary of the open-pit mine, is the global parameter, is the cumulative length of the irregular boundary of the open-pit mine, indicating the cumulative path length when the i-th feature point P i is accumulated along the boundary of the boundary in the counterclockwise direction from the starting point P1, is the cumulative length of the irregular boundary of the open-pit mine, indicating the cumulative path length when the i+1-th feature point P i+1 is accumulated along the boundary of the boundary in the counterclockwise direction from the starting point P1, is the local parameter, is the arc length, and .

7. A method of characterizing an irregular surface boundary of an open pit mine according to claim 1, characterized in that, According to the starting point coordinates and the ending point coordinates of each line segment, the length of each line segment in the open-pit irregular boundary is determined, and the calculation formula is as follows: According to the length of each line segment in the open-pit irregular boundary, the total length of the open-pit irregular boundary is calculated, and the calculation formula is as follows: According to the length of each line segment in the open-pit irregular boundary, the cumulative length of the open-pit irregular boundary is calculated, and the calculation formula is as follows: The global parameter is introduced, a continuous mapping between the global parameter and the mining boundary is established according to the total length of the open-pit irregular boundary and the cumulative length of the open-pit irregular boundary, a local parameter expression based on the continuous mapping is obtained, and the local parameter expression based on the continuous mapping is substituted into the local parameter equation of the corresponding line segment to obtain a continuous parameter equation, which is a representation result of the open-pit irregular surface boundary and is used for determining the working line length in the open-pit coal mining plan. ； in, For continuous parametric equations based on global parameters, For global parameters, ( , ) represents the starting coordinates of the characteristic points of the irregular boundary of the open-pit mine. , () represents the endpoint coordinates of the irregular boundary feature points in the open-pit mine. Let be the arc length, and , The total length of the irregular boundary of the open-pit mine. Let be the length of each line segment in the irregular boundary of the open-pit mine, that is, the length of the line segment between adjacent feature points, i.e., the length between the i-th feature point and the (i+1)-th feature point. The cumulative length of the irregular boundary of the open-pit mine is represented by the length accumulated from the starting point P1 along the boundary in a counterclockwise direction to the i-th feature point P. i The cumulative path length at that time The cumulative length of the irregular boundary of the open-pit mine is represented by the length accumulated from the starting point P1 along the boundary in a counterclockwise direction to the (i+1)th feature point P. i+1 The cumulative path length at that time Let x be the expression for the continuous parametric equation. Let y be the expression for the continuous parametric equation.

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