Slope surface positioning method for geological surveying and mapping
Through precise measurement equipment and simple algorithm formulas, combined with slope inclination angle and midpoint coordinate correction, the problems of insufficient slope positioning measurement accuracy and complex terrain adaptability are solved, and a high-precision and low-complexity slope positioning method is realized, which is suitable for various terrains.
Patent Information
- Application Number
- CN202510767130.6
- Authority / Receiving Office
- CN · China
- Patent Type
- Applications(China)
- Current Assignee / Owner
- Filing Date
- 2025-06-10
- Publication Date
- 2025-07-08
- Estimated Expiration
- Not applicable · inactive patent
AI Technical Summary
The existing technology has insufficient measurement accuracy on slope positioning, high calculation complexity, lacks an effective feedback mechanism, and is unable to adapt to complex terrain, resulting in large errors in surveying and mapping results, affecting subsequent engineering design and construction.
Accurate measurement equipment and concise algorithm formulas are used to calculate slope inclination angle, midpoint coordinates and length corrections, and combine feedback mechanisms to ensure the accuracy and reliability of surveying and mapping results, and adapt to complex terrain.
The accuracy and mapping efficiency of slope positioning are improved, the calculation complexity is reduced, and an effective feedback mechanism is established to adapt to the needs of complex terrain surveying and mapping, ensuring the accuracy and reliability of surveying and mapping results.
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Figure CN120274724A_ABST
Abstract
Description
Technical Field
[0001] The present invention relates to the technical field of geological surveying and mapping, and specifically to a slope positioning method for geological surveying and mapping. Background Art
[0002] However, the existing technology has deficiencies in measurement accuracy. Due to the limitations of measurement equipment and algorithms, the existing technology cannot accurately determine the position of the slope, resulting in certain errors in the surveying and mapping results. Moreover, when calculating the slope position, the existing technology uses relatively complex algorithms and formulas, leading to a cumbersome and time-consuming calculation process, which not only reduces the surveying and mapping efficiency but also increases the risk of errors. In addition, after the surveying and mapping is completed, the existing technology lacks an effective feedback mechanism to verify the accuracy of the surveying and mapping results. Specifically, if there are errors in the surveying and mapping results and they cannot be discovered and corrected in time, it will affect subsequent geological engineering design and construction. Additionally, when facing complex terrains, the existing technology cannot accurately determine the slope position due to the ineffective application of its measurement and calculation methods in complex terrains, thus reducing the applicability of the surveying and mapping. Summary of the Invention
[0003] The purpose of the present invention is to provide a slope positioning method for geological surveying and mapping, which solves the problems raised in the above background art.
[0004] To achieve the above purpose, the present invention provides the following technical solutions, and the specific implementation steps are as follows: Step 1: Use the data measurement module and measure the starting and ending coordinates of the slope according to the expected positioning of the slope. Step 2.1: Based on the starting and ending coordinates of the slope and using the data surveying and mapping calculation module, first calculate and output the inclination angle of the slope. Step 2.2: Based on the inclination angle, then calculate and output the midpoint coordinates of the slope and the length of the slope. Step 2.3: Based on the length of the slope and the expected positioning of the slope, calculate and output the error between the expectation and the actual surveying and mapping, and make surveying and mapping adjustments according to the error. Step 3: Use the output module to display and output the surveying and mapping adjustments. Among them, the data surveying and mapping calculation module includes a unit reflecting the steepness of the slope, a unit for slope midpoint positioning, a unit reflecting the actual length of the slope, and an error control unit.
[0005] Optionally, the equipment used by the data measurement module includes total stations, GPS devices, and level gauges. The equipment used by the data surveying and mapping calculation module includes computing devices and special surveying and mapping software. The equipment used by the output module includes a display screen.
[0006] Optionally, the calculation formula for the unit reflecting the steepness of the slope is as follows: θ = arctan(GC / P); Where: θ is the slope inclination angle; GC is the height difference of the slope; P is the horizontal distance of the slope.
[0007] Optionally, the calculation formula for the height difference GC of the slope is as follows: GC = Y end - Y start ; Y end is the Y coordinate of the end point of the slope; Y start is the Y coordinate of the starting point of the slope; The calculation formula for the horizontal distance P of the slope is as follows: P = SQRT[(X end - X start ) 2 + (Y end - Y start ) 2 ; X end is the X coordinate of the end point of the slope; X start is the X coordinate of the starting point of the slope; Where, (X start , Y start ) is the starting point coordinate of the slope, and (X end , Y end ) is the end point coordinate of the slope.
[0008] Optionally, the calculation formula for the slope midpoint positioning unit is as follows: X mind = X start + (P / 2) × cos(θ); Y mind = Y start + (GC / 2) + (P / 2) × sin(θ); Where: X mind is the X coordinate of the slope midpoint; Y mind is the X coordinate of the slope midpoint; (X mind , Y mind ) is the coordinate of the slope midpoint.
[0009] Optionally, the calculation formula for the unit reflecting the actual length of the slope is as follows: L = P+(GC / 2)×(1 - cos(2θ) / SQRT(1 + tan 2 (θ))); cos(2θ)=2cos 2 (θ)-1; tan 2 (θ)=(sin(θ) / cos(θ)) 2 ; Where: L is the length of the corrected slope surface; cos(2θ) and tan 2 (θ) are used as adjustment terms to consider the influence of the slope inclination angle θ on the slope length.
[0010] Optionally, the surveying and mapping positioning analysis based on the corrected slope surface length L is as follows: First, at the beginning of the design surveying and mapping, an expected benchmark for the corrected slope surface length L is set, that is, the expected slope surface length L0; Second, an error calculation formula for the corrected slope surface length L and the expected slope surface length L0 is introduced, specifically as follows: a=(L / L0)-1; Where a is the error coefficient; If a = 0.01 / -0.01 / 0, it indicates that the current slope surface positioning surveying and mapping is error-free, and construction can be carried out according to the design parameters; If a≠0.01 / -0.01 / 0, it indicates that there are large errors in the current slope surface positioning surveying and mapping, and the starting point coordinates (X start , Y start ) and the ending point coordinates (X end , Y end ) of the slope surface should be re-measured and surveyed.
[0011] Optionally, the steps for setting the expected slope surface length L0 are as follows: Step 1: Determine the expected starting point coordinates (X 0start , Y 0start ) and the expected ending point coordinates (X 0end , Y 0end ) of the slope surface, and conduct measurements; Step 2: Substitute the expected starting point coordinates (X 0start , Y 0start ) and the expected ending point coordinates (X 0end , Y 0end ) into the unit reflecting the slope steepness, the unit for slope midpoint positioning, and the unit reflecting the actual slope length in sequence; Step 3: Calculate and output the expected slope surface length L0 from the unit reflecting the actual slope length.
[0012] Compared with the prior art, the beneficial effects of the present invention are as follows: 1. By adopting precise measurement devices and algorithm formulas, the present invention can significantly improve the accuracy of slope positioning. Among them, the unit for reflecting the steepness of the slope calculates the slope inclination angle θ, providing an accurate basis for subsequent midpoint coordinate calculation and length correction. The slope midpoint positioning unit and the unit for reflecting the actual length of the slope further consider the influence of terrain undulation and measurement errors, and accurately correct the slope position.
[0013] 2. The method proposed by the present invention reduces the computational complexity by designing concise and clear algorithm formulas. Among them, the addition, subtraction, multiplication, division, and square root operations in the unit for reflecting the steepness of the slope, the slope midpoint positioning unit, and the unit for reflecting the actual length of the slope are all basic mathematical operations, which are easy to understand and implement. At the same time, the mutual dependence relationship between the formulas also ensures the coherence and accuracy of the calculation.
[0014] 3. After the calculation is completed, the method proposed by the present invention establishes an effective feedback mechanism by comparing the error between the corrected slope length L and the expected value. Among them, if the error exceeds ±1%, the key parameters of the starting point, ending point, and height difference are re-measured to ensure the accuracy of the calculation result. This feedback mechanism not only improves the reliability of the surveying and mapping results but also reduces the risk of repeated measurements.
[0015] 4. The method proposed by the present invention can meet the surveying and mapping requirements of complex terrain. Through precise measurement and calculation, it can accurately determine the position of the slope, providing reliable data support for geological surveying and mapping. BRIEF DESCRIPTION OF THE DRAWINGS
[0016] Figure 1 It is a method flow chart of the slope positioning method for local geological surveying and mapping; Figure 2 It is a schematic diagram of the surveying and mapping positioning analysis of the corrected slope length L of the present invention; Figure 3 It is a schematic diagram of the overall structure of the data surveying and mapping calculation module in the present invention; Figure 4 It is a method flow chart of the step for setting the expected slope length L0 in the present invention. DETAILED DESCRIPTION OF THE EMBODIMENTS
[0017] Next, the technical solutions in the embodiments of the present invention will be clearly and completely described in conjunction with the accompanying drawings in the embodiments of the present invention. Obviously, the described embodiments are only a part of the embodiments of the present invention, rather than all of the embodiments. Based on the embodiments of the present invention, all other embodiments obtained by those of ordinary skill in the art without creative efforts shall fall within the protection scope of the present invention.
[0018] Regarding the slope positioning method for geological surveying and mapping, which is different from the existing slope positioning methods for geological surveying and mapping. The existing slope positioning methods for geological surveying and mapping have problems such as insufficient measurement accuracy, high computational complexity, lack of an effective feedback mechanism, and insufficient adaptability to complex terrains. However, this algorithm unit realizes the accurate determination of the slope position. Therefore, this method not only improves the measurement accuracy and efficiency, reduces the computational complexity, but also establishes an effective feedback mechanism and meets the surveying and mapping requirements of complex terrains.
[0019] Example 1. Please refer to Figures 1 to 4 , this example provides a slope positioning method for geological surveying and mapping, and the specific implementation steps are as follows: Step 1: Use the data measurement module and measure the starting and ending coordinates of the slope according to the expected positioning of the slope. Step 2.1: Based on the starting and ending coordinates of the slope and using the data surveying and mapping calculation module, first calculate and output the inclination angle of the slope. Step 2.2: Based on the inclination angle, then calculate and output the midpoint coordinates of the slope and the length of the slope. Step 2.3: Based on the length of the slope and the expected positioning of the slope, calculate and output the error between the expected and actual surveying and mapping, and make surveying and mapping adjustments according to the error. Step 3: Use the output module to display and output the surveying and mapping adjustments. Among them, the data surveying and mapping calculation module includes a unit reflecting the steepness of the slope, a unit for positioning the midpoint of the slope, a unit reflecting the actual length of the slope, and an error control unit; The equipment used by the data measurement module includes total stations, GPS equipment, and level gauges; The equipment used by the data surveying and mapping calculation module includes computing equipment and special surveying and mapping software; The equipment used by the output module includes a display screen.
[0020] In this embodiment, this system, through the mutual cooperation of three algorithm units and in combination with the three calculation results of θ, (X mind , Y mind ), and L, jointly constitutes a complete algorithm formula system for the slope positioning method. Among them, θ is the inclination angle of the slope, and this inclination angle is a key parameter for subsequent calculation of the midpoint coordinates and correction of the slope length. By measuring the height difference and horizontal distance of the slope and using the arctangent function arctan, the inclination angle of the slope can be calculated. Moreover, the inclination angle not only reflects the steepness of the slope but also is an important bridge connecting the three formulas. X mind is the X coordinate of the midpoint of the slope, and Y mindis the X coordinate of the midpoint of the slope surface. The calculation of this midpoint coordinate is crucial for understanding the spatial distribution of the slope surface, conducting subsequent surveying and mapping work, and correcting the slope length L. By considering the starting point coordinates of the slope surface (X start , Y start ), the ending point coordinates (X end , Y end ), and θ, the midpoint of the slope surface can be accurately located. The accuracy of the midpoint coordinate directly depends on the precise calculation of the inclination angle. L is the corrected slope length. The correction process of this value considers the influence of the inclination angle on the slope length and the length change caused by the terrain undulation. Through the corrected slope length, the actual length of the slope surface can be more accurately reflected, providing reliable data support for subsequent engineering design and construction. Moreover, the calculation result of L can also affect the calculation of θ and (X mind , Y mind ), making the three algorithms of this system highly correlated and intertwined. And the cyclic influence of L on θ and (X mind , Y mind ) further enhances the accuracy and reliability of the entire surveying and mapping system. These algorithm units and formation mechanisms together constitute the core and foundation of the slope surface positioning method for geological surveying and mapping.
[0021] Please refer to Figures 1 to 4 , and the calculation formula of the unit reflecting the steepness of the slope surface is as follows: θ = arctan(GC / P); Where: θ is the inclination angle of the slope surface; GC is the height difference of the slope surface; P is the horizontal distance of the slope surface; The calculation formula of the height difference GC of the slope surface is as follows: GC = Y end - Y start ; Y end is the Y coordinate of the ending point of the slope surface; Y start is the Y coordinate of the starting point of the slope surface; The calculation formula of the horizontal distance P of the slope surface is as follows: P = SQRT[(X end - X start ) 2 + (Y end - Y start ) 2 ; X end is the X coordinate of the ending point of the slope surface; X start is the X coordinate of the starting point of the slope surface; Among them, (X start , Ystart ) is the starting coordinate of the slope surface, (X end , Y end ) is the ending coordinate of the slope surface.
[0022] In this embodiment: First, the "arctan(GC / P)" calculation part in this algorithm unit calculates the slope inclination angle θ of the slope surface, which is a key parameter describing the slope inclination degree. The larger the inclination angle, the steeper the slope surface. Exactly, this value is the core output of the unit reflecting the slope steepness degree and is used for subsequent midpoint coordinate calculation and slope surface length correction; Among them, " end (X start - X 2 ) end +(Y start - Y 2 ) mind " calculates the square of the straight-line distance between the starting point and the ending point, that is, calculates and outputs the horizontal distance P of the slope surface, which is the basis for calculating the actual length of the slope surface. This value is one of the benchmarks for length correction in the unit reflecting the actual length of the slope surface and jointly determines the corrected slope surface length L with the subsequent correction terms related to the height difference and inclination angle; This algorithm unit can more accurately reflect the actual inclination degree of the slope surface by directly using the ratio of the slope surface height difference GC and the slope surface horizontal distance P and combining with the arctangent function to calculate the slope inclination angle θ. This accuracy is crucial for subsequent midpoint coordinate calculation and slope surface length correction; In addition, the unit reflecting the slope steepness degree in this algorithm is not restricted by the slope surface shape, size, and geographical location, and thus is applicable to various types of slope surface measurements. Whether it is a gentle slope or a steep hillside, the inclination angle can be calculated through the calculation formula of the unit reflecting the slope steepness degree; The slope inclination angle θ calculated by the unit reflecting the slope steepness degree is a key parameter for subsequent midpoint coordinate calculation and slope surface length correction. The accurate calculation of the unit reflecting the slope steepness degree provides a solid guarantee for the accuracy of subsequent steps and ensures the coherence and consistency of the entire surveying and mapping process.
[0023] Please refer to Figures 1 to 4 , the calculation formula of the slope midpoint positioning unit is as follows: X mind = X start + (P / 2) × cos(θ); Y mind = Y start + (GC / 2) + (P / 2) × sin(θ); Among them: X mind is the X coordinate of the slope midpoint; Y mind is the X coordinate of the slope midpoint; (X mind , Y mind ) is the coordinate of the midpoint of the slope surface.
[0024] In this embodiment, first, the calculation unit of "X start +(P / 2)×cos(θ)" calculates the midpoint coordinate of the slope surface in the X direction. Since the slope surface is inclined, the X coordinate of the midpoint cannot simply take the average of the starting point and the ending point, but needs to consider the influence of the slope inclination angle θ. This calculation part is a part of the X coordinate X mind of the slope surface midpoint positioning unit, which is used to determine the midpoint position of the slope surface, and further supports subsequent calculations such as length correction. Similarly, the calculation part of "Y start +(GC / 2)+(P / 2)×sin(θ)" calculates the midpoint coordinate of the slope surface in the Y direction, that is, the vertical direction. Since the slope surface is inclined, the Y coordinate of the midpoint is not only related to the starting point Y coordinate and the slope height difference GC, but also affected by the slope inclination angle θ. This calculation part is a part of the Y coordinate Y mind of the slope surface midpoint positioning unit, and together with the X coordinate X mind of the slope surface midpoint, it determines the midpoint position of the slope surface; This algorithm unit can accurately locate the midpoint of the slope surface, that is, (X start , Y start ), by combining the information of the starting point coordinate (X end , Y end ) of the slope surface, the ending point coordinate (X mind , Y mind ) of the slope surface, and the slope inclination angle θ. This accuracy provides an accurate position reference for subsequent surveying and mapping work, helping to reduce measurement errors and improve surveying and mapping accuracy; The slope surface midpoint positioning unit of this algorithm can more intuitively understand the distribution and shape of the slope surface in space by calculating the midpoint coordinate (X mind , Y mind ), which helps to better grasp the terrain features and provides strong support for subsequent engineering design and construction; The accuracy of the midpoint coordinate (X mind , Y mind ) of the slope surface is crucial for correcting the slope surface length. The midpoint coordinate calculated by the slope surface midpoint positioning unit can provide the necessary data support for subsequent slope surface length correction, ensuring the accuracy and reliability of the surveying and mapping results.
[0025] Please refer to Figures 1 to 4 , and the calculation formula of the unit reflecting the actual length of the slope surface is as follows: L = P+(GC / 2)×(1 - cos(2θ) / SQRT(1 + tan2 (θ))); cos(2θ) = 2cos 2 (θ) - 1; tan 2 (θ) = (sin(θ) / cos(θ)) 2 ; Where: L is the corrected slope length; cos(2θ) and tan 2 (θ) are used as adjustment terms to account for the influence of the slope inclination angle θ on the slope length.
[0026] In this embodiment, the "(GC / 2)×(1 - cos(2θ) / SQRT(1 + tan 2 (θ)))" calculation part in this algorithm unit takes into account the influence of the slope inclination angle θ on the slope length for length correction. Due to the slope inclination, the actual length will be greater than the straight-line distance between the starting point and the ending point. This term is a key part for correcting this difference, and this value is one of the correction terms in the unit reflecting the actual slope length, which together with the square term of the straight-line distance determines the corrected slope length L; Among them, cos(2θ) and tan 2 (θ) in the unit reflecting the actual slope length are further calculated based on θ. Given the slope inclination angle θ, the values of cos(2θ) and tan 2 (θ) are calculated by applying the knowledge of trigonometric functions, and these values are used in the correction formula for the slope length. This is a common practice in the fields of mathematics and engineering, and thus can more accurately describe and calculate the properties of complex shapes and structures; By considering the influence of terrain undulation and measurement error on the slope length, the unit reflecting the actual slope length in this algorithm unit can correct the measured slope length. This correction can significantly improve the accuracy and reliability of the measurement, ensuring the accuracy of the surveying and mapping results; The error between the corrected slope length L and the expected slope length L0 of the unit reflecting the actual slope length is controlled within ±1%. If it exceeds this range, the starting point, ending point, and height difference parameters need to be re-measured. This feedback mechanism can promptly detect and correct errors in the measurement process, ensuring the accuracy and reliability of the surveying and mapping results; By correcting the slope length L, this algorithm unit can promptly detect and correct errors in the measurement process, thereby optimizing the surveying and mapping process. This helps to improve the surveying and mapping efficiency, reduce the workload of repeated measurements, and lower the surveying and mapping cost; In summary, the unit for reflecting the steepness of the slope, the unit for locating the midpoint of the slope, and the unit for reflecting the actual length of the slope in the slope positioning method for geological surveying and mapping each have significant beneficial effects. By accurately calculating the inclination angle, midpoint coordinates, and correcting the slope length, it can provide accurate and reliable data support for geological surveying and mapping. At the same time, these formulas also have the advantages of strong generality and wide application range, and can meet the needs of different types of slope measurements.
[0027] Please refer to Figures 1 to 4 , the mapping and positioning analysis based on the corrected slope length L is as follows: First, at the beginning of the design of the surveying and mapping, set an expected benchmark for the corrected slope length L, that is, the expected slope length L0; Secondly, the error calculation formula for the corrected slope length L and the expected slope length L0 will be introduced, specifically as follows: a = (L / L0) - 1; where a is the error coefficient; If a = 0.01 / -0.01 / 0, it indicates that the current slope positioning surveying and mapping is correct, and construction should be carried out according to the design parameters; If a ≠ 0.01 / -0.01 / 0, it indicates that there is a large error in the current slope positioning surveying and mapping, and the starting point coordinates (X start , Y start ) and the ending point coordinates (X end , Y end ) of the slope should be re-measured and surveyed.
[0028] In this embodiment, through the correction of the slope length by the unit for reflecting the actual length of the slope, this algorithm unit can indirectly verify the accuracy of the slope inclination angle θ. If the difference between the corrected slope length L and the expected value is large, it is necessary to re-measure the starting point coordinates (X start , Y start ), the ending point coordinates (X end , Y end ) of the slope and the slope height difference GC parameter, and re-calculate the slope inclination angle θ. This loop verification mechanism ensures the accuracy of the inclination angle calculation. The loop influence of the unit for reflecting the actual length of the slope on the unit for reflecting the steepness of the slope forms a closed-loop surveying and mapping system. Through continuous feedback and correction, it can significantly improve the reliability and accuracy of the surveying and mapping results. In practical applications, by continuously observing and analyzing the loop influence of the unit for reflecting the actual length of the slope on the unit for reflecting the steepness of the slope, problems and deficiencies in the surveying and mapping process can be found, thereby promoting the continuous improvement and innovation of surveying and mapping technology; When discussing the error control between the corrected slope length L and the expected slope length L0 in the construction design, a series of measures are mentioned to reduce the error and form a beneficial feedback loop. The following is a detailed elaboration of this beneficial effect: Establishment of the feedback loop Error detection: First, by comparing the calculated result of the corrected slope length L with the expected slope length L0, the existence and magnitude of the error can be detected, which is the starting point of the feedback loop; Cause analysis: When the error exceeds the control range, the reasons for the error need to be analyzed, including checking the accuracy of the measurement data, the rationality of the calculation method, and the rationality of the design parameters; Measures taken: Based on the cause analysis, corresponding measures are taken to reduce the error. Specifically, this includes re-measuring the slope starting point coordinates (X start , Y start ) and the slope ending point coordinates (X end , Y end ) to ensure the accuracy of the data, or adjusting the value of the slope height difference GC to further reduce the error between the corrected slope length L and the expected slope length L0; Effect verification: After taking measures, the corrected slope length L needs to be recalculated and compared with the expected slope length L0 to verify the effectiveness of the measures. This is the closed-loop part of the feedback loop; The feedback loop formed by the unit reflecting the slope steepness, the unit positioning the midpoint of the slope, the unit reflecting the actual slope length, and the error control unit can detect and correct errors in a timely manner, thereby improving the construction accuracy. This helps to ensure the stability and reliability of the construction quality. In the feedback loop, by adjusting the design parameters to reduce the error, this adjustment helps to optimize the design scheme to make it more in line with the actual construction conditions and requirements. The improvement of construction accuracy and the optimization of the design scheme contribute to enhancing construction safety. In addition, the establishment and implementation of the feedback loop require the active participation and collaboration of the project management team, which helps to improve the project management level, enhance the team's collaboration ability and the ability to handle complex problems. And in the feedback loop, new measurement methods, calculation tools, and design ideas need to be explored to reduce the error, which helps to promote technological innovation and progress and bring more development opportunities to the surveying and mapping field; In summary, the unit reflecting the slope steepness, the unit for locating the midpoint of the slope, the unit reflecting the actual length of the slope, and the error control unit each have significant beneficial effects. Moreover, the cyclic influence of the unit reflecting the actual length of the slope on the unit reflecting the slope steepness further enhances the accuracy and reliability of the entire surveying and mapping system. These formulas and mechanisms together constitute the core and foundation of the slope positioning method for geological surveying and mapping. The beneficial effect of forming a feedback loop lies in improving construction accuracy, optimizing the design plan, enhancing construction safety, improving project management levels, and promoting technological innovation. These effects act on the entire process of construction design, helping to ensure the smooth implementation and high-quality completion of geological surveying and mapping.
[0029] Example 2. Please refer to Figures 1 to 4 , and the steps for setting the expected slope length L0 are as follows: Step 1: Determine the expected coordinates (X 0start , Y 0start ) of the starting point of the slope and the expected coordinates (X 0end , Y 0end ) of the ending point of the slope, and conduct measurements; Step 2: Substitute the expected coordinates (X 0start , Y 0start ) of the starting point of the slope and the expected coordinates (X 0end , Y 0end ) of the ending point of the slope into the unit reflecting the slope steepness, the unit for locating the midpoint of the slope, and the unit reflecting the actual length of the slope in sequence; Step 3: Calculate and output the expected slope length L0 from the unit reflecting the actual length of the slope.
[0030] In this embodiment, by substituting the expected coordinates (X 0start , Y 0start ) of the starting point of the slope and the expected coordinates (X 0end , Y 0end ) of the ending point of the slope into the unit reflecting the slope steepness, the unit for locating the midpoint of the slope, and the unit reflecting the actual length of the slope for calculation, and then obtaining the corrected slope length L, the expected slope length L0 can be used as a benchmark to compare with the corrected slope length L obtained from actual surveying and mapping calculations. If the error coefficient a between the two is 0.01 / -0.01 / 0, it can be considered that the measurement data is accurate and reliable; conversely, if the difference is large, it is necessary to recheck the measurement process to find possible error sources; The unit reflecting the slope steepness, the unit for locating the midpoint of the slope, and the unit reflecting the actual length of the slope, as the key algorithms for calculating the slope length, their reliability directly affects the accuracy of the surveying and mapping results. By substituting the expected coordinates (X 0start , Y 0start ) of the starting point of the slope and the expected coordinates (X 0end,Y 0end ) Substitute into the formula for calculation, and compare the expected value with the actual value. The reliability of the calculation method can be evaluated. If the calculation method is stable and reliable, the difference between the expected value and the actual value should be kept within a small range. If the difference is large, it is necessary to re-examine the calculation method to find possible logical errors and calculation errors; By substituting the expected coordinates of the starting point of the slope surface (X 0start ,Y 0start ) and the expected coordinates of the ending point of the slope surface (X 0end ,Y 0end ) into the formula for calculation, and comparing the expected value with the actual value, the errors in the surveying and mapping process can be discovered and corrected in a timely manner. This comparison can not only help verify the accuracy of the measurement data and the calculation method, but also guide the adoption of more precise measurement methods and more optimized algorithms to improve the accuracy of the surveying and mapping results; Among them, the surveying and mapping results are an important basis for subsequent engineering design and construction. By substituting the expected coordinates of the starting point of the slope surface (X 0start ,Y 0start ) and the expected coordinates of the ending point of the slope surface (X 0end ,Y 0end ) into the formula for calculation, and comparing the expected value with the actual value, the accuracy and reliability of the surveying and mapping results can be ensured, providing strong data support for subsequent engineering design and construction. This helps to ensure the rationality and safety of the engineering design, and reduce the risks and costs during the construction process; In summary, substituting the expected coordinates of the starting point of the slope surface (X 0start ,Y 0start ) and the expected coordinates of the ending point of the slope surface (X 0end ,Y 0end ) expected in the surveying and mapping into the unit reflecting the steepness of the slope surface, the unit for positioning the midpoint of the slope surface, and the unit reflecting the actual length of the slope surface for calculation, and comparing the expected value with the corrected slope length L obtained from the actual surveying and mapping calculation. This process has significant beneficial effects in verifying the accuracy of the measurement data, evaluating the reliability of the calculation method, improving the accuracy of the surveying and mapping results, optimizing the surveying and mapping process, and providing a reliable basis for subsequent engineering design and construction.
[0031] Although the embodiments of the present invention have been shown and described, for those of ordinary skill in the art, it is understood that various changes, modifications, substitutions, and variations can be made to these embodiments without departing from the principles and spirit of the present invention. The scope of the present invention is defined by the appended claims and their equivalents.
Claims
1. A slope positioning method for geological surveying and mapping, characterized in that, The specific implementation steps are as follows: Step 1: Use the data measurement module and measure the starting and ending coordinates of the slope according to the expected positioning of the slope surface; Step 2.1: Based on the starting and ending coordinates of the slope surface and using the data surveying and mapping calculation module, first calculate and output the inclination angle of the slope surface; Step 2.2: Based on the inclination angle, then calculate and output the midpoint coordinates of the slope surface and the length of the slope surface; Step 2.3: Based on the length of the slope surface and the expected positioning of the slope surface, calculate and output the error between the expectation and the actual surveying and mapping, and make surveying and mapping adjustments according to the error; Step 3: Use the output module to display and output the surveying and mapping adjustments; Among them, the data surveying and mapping calculation module includes a unit reflecting the steepness of the slope surface, a unit for positioning the midpoint of the slope surface, a unit reflecting the actual length of the slope surface, and an error control unit.
2. A slope positioning method for geological surveying and mapping according to claim 1, characterized in that The equipment used by the data measurement module includes a total station, a GPS device, and a level; The equipment used by the data surveying and mapping calculation module includes a computing device and special surveying and mapping software; The equipment used by the output module includes a display screen.
3. A slope positioning method for geological surveying and mapping according to claim 2, characterized in that: The calculation formula of the unit reflecting the steepness of the slope surface is as follows: θ = arctan(GC / P); Where: θ is the inclination angle of the slope surface; GC is the height difference of the slope surface; P is the horizontal distance of the slope surface.
4. A slope positioning method for geological surveying and mapping according to claim 3, characterized in that: The calculation formula of the height difference GC of the slope surface is as follows: GC=Y end -Y start ; Y end is the Y coordinate of the slope end point; Y start is the starting point Y coordinate of the slope surface; The calculation formula of the horizontal distance P of the slope surface is as follows: P = SQRT[(X end - X start ) 2 + (Y end - Y start ) 2 ; X end is the X coordinate of the slope end point; X start is the X coordinate of the slope starting point; Among them, (X start , Y start ) is the starting point coordinate of the slope surface, and (X end , Y end ) is the ending point coordinate of the slope surface.
5. A slope positioning method for geological mapping according to claim 4, characterized in that: The calculation formula of the unit for positioning the midpoint of the slope surface is as follows: X mind =X start +(P / 2)×cos(θ); Y mind = Y start + (GC / 2)+(P / 2)×sin(θ); Where: X mind is the X coordinate of the midpoint of the slope surface; Y mind is the X coordinate of the midpoint of the slope surface; (X mind , Y mind ) is the coordinate of the midpoint of the slope surface.
6. A slope positioning method for geological surveying and mapping according to claim 5, characterized in that: The calculation formula of the unit reflecting the actual length of the slope surface is as follows: L = P+(GC / 2)×(1 - cos(2θ) / SQRT(1 + tan 2 (θ))); cos(2θ)=2cos 2 (θ)-1; tan 2 (θ) = (sin(θ) / cos(θ)) 2 ; Where: L is the corrected length of the slope surface; cos(2θ) and tan 2 (θ) are used as adjustment terms to account for the influence of the slope inclination angle θ on the slope length.
7. A slope positioning method for geological surveying and mapping according to claim 6, characterized in that: The surveying and mapping positioning analysis based on the corrected length L of the slope surface is as follows: First, at the beginning of the design of the surveying and mapping, set an expected benchmark for the corrected length L of the slope surface, that is, the expected length L0 of the slope surface; Secondly, introduce the error calculation formula for the corrected length L of the slope surface and the expected length L0 of the slope surface, as follows: a = (L / L0) - 1; Where a is the error coefficient; If a = 0.01 / -0.01 / 0, it means that the current slope surface positioning surveying and mapping is correct, and construction can be carried out according to the design parameters; If a ≠ 0.01 / -0.01 / 0, it indicates that there are relatively large errors in the current slope positioning surveying and mapping, and the starting point coordinates (X start , Y start ) and the ending point coordinates (X end , Y end ) of the slope should be re-measured and surveyed.
8. A slope positioning method for geological mapping according to claim 7, characterized in that: The setting steps of the expected length L0 of the slope surface are as follows: Step 1: Determine the expected coordinates of the starting point of the slope (X 0start , Y 0start ) and the expected coordinates of the ending point of the slope (X 0end , Y 0end ), and conduct measurements; Step 2: Substitute the expected coordinates of the starting point of the slope surface (X 0start , Y 0start ) and the expected coordinates of the ending point of the slope surface (X 0end , Y 0end ) into the unit reflecting the steepness of the slope surface, the unit for positioning the midpoint of the slope surface, and the unit reflecting the actual length of the slope surface in sequence; Step 3: Calculate and output the expected length L0 of the slope surface from the unit reflecting the actual length of the slope surface.
Citation Information
Patent Citations
Slope angle measuring method and measuring instrument
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