A real-time mobile stereographic projection analysis and web visualization platform for stability assessment of rock slopes

Abstract

A system for providing a real-time mobile stereographic projection analysis platform for evaluating the stability of a rock slope is provided, comprising a user terminal including a measurement unit for measuring the angle of inclination and the direction of inclination of a discontinuity surface and a rock slope, a conversion unit for converting the angle of inclination and the direction of inclination of a discontinuity surface and a rock slope into a stereographic projection coordinate system, a geometric analysis unit for analyzing the geometric relationship between the discontinuity surface and the rock slope, and a calculation unit for calculating the probability of failure of a rock block surrounded by a discontinuity surface being destroyed in the direction of the rock slope based on the geometric relationship between the discontinuity surface and the rock slope, and an integrated control server that receives and stores data from the user terminal and integrates and visualizes the angle of inclination of the discontinuity surface, the direction of inclination, and the probability of failure of the rock block based on a Geographic Information System (GIS) based on the data.

Description

Technology Field

[0001] The present invention relates to a real-time mobile stereographic analysis and web visualization platform for evaluating the stability of rock slopes, and provides a system capable of predicting and visualizing failure types on-device based on the geometric relationship between rock slopes and discontinuities. Background Technology

[0002] Recently, during periods of heavy rainfall, there has been an increase in casualties, property damage, and damage to social infrastructure (SOC) caused by slope failures and rockfalls occurring near roads and residential areas. This is because the expansion of social activity spaces has led to development and degradation of rock slopes, resulting in the formation of artificial joints, while exposed rock undergoes weathering to create numerous joint clusters. Therefore, to minimize damage caused by rock slope failure, it is necessary to perform rock slope stability analyses around infrastructure facilities to reinforce and manage hazardous areas. Rock slope stability analysis is classified into kinematic analysis and kinetic analysis, considering the geometric characteristics of discontinuities and the rock slope, as well as the mechanical properties of the materials within the slope. Kinematic analysis identifies the instability of the rock slope by considering the relative orientation of discontinuities and the rock slope; the stereoscopic projection method, which utilizes the geometric relationship between discontinuities and the rock slope, is widely used.

[0003] At this time, methods for measuring slopes based on mobile devices or analyzing the stability of rock slopes using LiDAR have been researched and developed. In this regard, prior art Korean Registered Patent No. 10-2804759 (published May 7, 2025) and Korean Registered Patent No. 10-1009657 (published January 19, 2011) disclose a configuration for measuring the slope angle and slope direction of a discontinuity surface on-site using an accelerometer, gyroscope, magnetometer, and GPS embedded in a smartphone, and recording, storing, and sharing the measured values, location information, and RMR input values ​​on a single screen; and a configuration for mechanical stability analysis for extracting the geometric conditions of the slope and the profile of the discontinuity surface using a point cloud acquired by a terrestrial LiDAR, setting JRC and JCS as random variables, and calculating the probability of failure and the safety factor through Monte Carlo simulation and limit equilibrium analysis.

[0004] However, the former focuses on the digitization of measurement data and the convenience of field recording, and does not disclose stability analysis functions such as stereographic analysis utilizing the geometric relationships of discontinuities and slopes, or failure type determination. Similarly, the latter focuses on probabilistic and mechanical analysis targeting large-scale slopes, but does not disclose mobile-based field measurements or real-time kinematic failure type determination using stereographics. Furthermore, existing rock slope investigation and analysis systems remain centered on a structure that simply measures slope angle and direction, making immediate stability analysis or failure probability prediction based on measurement data impossible. Additionally, stereographic analysis is only possible by manually inputting data into separate specialized software after measurement, which presents limitations such as difficulty in real-time field judgment and an inefficient analysis process. Therefore, research and development of a platform capable of performing stereographic analysis and failure probability prediction immediately at the field site is required. The problem to be solved

[0005] One embodiment of the present invention provides a system for providing a real-time mobile stereographic analysis platform for evaluating the stability of a rock slope, which measures the angle of inclination and the direction of inclination of a rock slope and a discontinuity surface on-device basis of a user terminal, projects the angle of inclination and the direction of inclination of the rock slope and the discontinuity surface onto a stereographic coordinate system, analyzes the geometric relationship between the angle of inclination and the direction of inclination of the rock slope and the discontinuity surface to calculate the failure type threshold value, stability, and risk, and then predicts the failure type, thereby enabling the failure type to be predicted simultaneously with the measurement and providing the results to the user by visualizing them. However, the technical problem that this embodiment aims to solve is not limited to the technical problem described above, and other technical problems may exist. means of solving the problem

[0006] As a technical means for achieving the technical problem described above, one embodiment of the present invention includes a user terminal comprising a measuring unit for measuring the angle of inclination and the direction of inclination of a discontinuity surface and a rock slope, a conversion unit for converting the angle of inclination and the direction of inclination of a discontinuity surface and a rock slope into a stereographic projection coordinate system, a geometric analysis unit for analyzing the geometric relationship between the discontinuity surface and the rock slope, and a calculation unit for calculating the possibility of failure of a rock block surrounded by a discontinuity surface being destroyed in the direction of the rock slope based on the geometric relationship between the discontinuity surface and the rock slope, and an integrated control server that receives and stores data from the user terminal and integrates and visualizes the angle of inclination of the discontinuity surface, the direction of inclination, and the possibility of failure of the rock block based on a Geographic Information System (GIS) based on the data. Effects of the invention

[0007] According to any one of the means for solving the problem of the present invention described above, the angle of inclination and the direction of inclination of discontinuities and rock slopes measured at the site are immediately converted into kinematic analysis based on stereographic projection, thereby allowing the probability of occurrence of planar failure, wedge failure, and overturning failure to be calculated in real time. This effectively prevents time delays and judgment errors that occurred when measurement and analysis were separated as in the past. Furthermore, by integrating and managing measurement data, analysis results, location information, and site photos in a single system and visualizing them on a map basis, the risk and failure distribution by section and point can be intuitively grasped, thereby improving the accuracy of comparative analysis and history management for wide-area research areas. Additionally, the reliability of on-site decision-making is enhanced through quantitative failure type prediction that simultaneously considers multiple discontinuities and slope conditions, and the efficiency and consistency of rock slope stability evaluation can be significantly improved by automating the entire process of investigation, analysis, and recording. Brief explanation of the drawing

[0008] FIG. 1 is a diagram illustrating a system for providing a real-time mobile stereographic projection analysis platform for evaluating the stability of a rock slope according to an embodiment of the present invention. FIG. 2 is a block diagram for explaining a user terminal included in the system of FIG. 1. FIGS. 3 and 4 are drawings for explaining an embodiment in which a stereographic projection analysis platform according to an embodiment of the present invention is implemented. FIG. 5 is an operation flowchart illustrating a method for providing a planar projection analysis platform according to an embodiment of the present invention. Specific details for implementing the invention

[0009] Embodiments of the present invention are described below with reference to the attached drawings so that those skilled in the art can easily implement the invention. However, the present invention may be embodied in various different forms and is not limited to the embodiments described herein. Furthermore, in order to clearly explain the present invention in the drawings, parts unrelated to the explanation have been omitted, and similar parts throughout the specification are denoted by similar reference numerals.

[0010] Throughout the specification, when a part is described as being "connected" to another part, this includes not only cases where they are "directly connected" but also cases where they are "electrically connected" with other elements interposed between them. Furthermore, when a part is described as "including" a component, this means that, unless specifically stated otherwise, it does not exclude other components but may include additional components, and it should be understood that this does not preclude the existence or addition of one or more other features, numbers, steps, actions, components, parts, or combinations thereof.

[0011] Terms such as “about,” “substantially,” etc., used throughout the specification, are used to mean at or near the stated value when inherent manufacturing and material tolerances are presented in the stated meaning, and are used to prevent unscrupulous infringers from unfairly exploiting the disclosure in which precise or absolute values ​​are mentioned to aid in understanding the invention. Terms such as “step” or “step of” used throughout the specification of the invention do not mean “step for”.

[0012] In this specification, the term "part" includes a unit realized by hardware, a unit realized by software, and a unit realized using both. Additionally, one unit may be realized using two or more pieces of hardware, and two or more units may be realized by one piece of hardware. Meanwhile, "part" is not limited to software or hardware, and "part" may be configured to reside in an addressable storage medium or configured to run on one or more processors. Accordingly, as an example, "part" includes components such as software components, object-oriented software components, class components, and task components, as well as processes, functions, attributes, procedures, subroutines, segments of program code, drivers, firmware, microcode, circuits, data, databases, data structures, tables, arrays, and variables. The functions provided within the components and "parts" may be combined into a smaller number of components and "parts" or further separated into additional components and "parts." In addition, the components and '~parts' may be implemented to play one or more CPUs within the device or secure multimedia card.

[0013] Some of the operations or functions described herein as being performed by a terminal, device, or device may instead be performed by a server connected to said terminal, device, or device. Likewise, some of the operations or functions described as being performed by a server may also be performed by a terminal, device, or device connected to said server.

[0014] In this specification, some of the operations or functions described as mapping or matching with a terminal may be interpreted as meaning mapping or matching the terminal's unique number or personal identification information, which is the terminal's identifying data.

[0015] The present invention will be described in detail below with reference to the attached drawings.

[0016] FIG. 1 is a diagram illustrating a system for providing a real-time mobile stereographic projection analysis platform for evaluating the stability of a rock slope according to an embodiment of the present invention. Referring to FIG. 1, the system for providing a real-time mobile stereographic projection analysis platform for evaluating the stability of a rock slope (1) may include at least one user terminal (100) and an integrated control server (300). However, since the system for providing a real-time mobile stereographic projection analysis platform for evaluating the stability of a rock slope (1) of FIG. 1 is merely an embodiment of the present invention, the present invention is not to be interpreted as being limited through FIG. 1.

[0017] At this time, each component of FIG. 1 is generally connected through a network (Network, 200). For example, as shown in FIG. 1, at least one user terminal (100) can be connected to an integrated control server (300) through the network (200). And, the integrated control server (300) can be connected to at least one user terminal (100) through the network (200).

[0018] Here, a network refers to a connection structure capable of exchanging information among individual nodes, such as multiple terminals and servers. Examples of such networks include Local Area Networks (LANs), Wide Area Networks (WANs), the World Wide Web (WWW), wired and wireless data networks, telephone networks, and wired and wireless television networks. Examples of wireless data communication networks include, but are not limited to, 3G, 4G, 5G, 3GPP (3rd Generation Partnership Project), 5GPP (5th Generation Partnership Project), 5G NR (New Radio), 6G (6th Generation of Cellular Networks), LTE (Long Term Evolution), WIMAX (World Interoperability for Microwave Access), Wi-Fi, Internet, LAN (Local Area Network), Wireless LAN (Wireless Local Area Network), WAN (Wide Area Network), PAN (Personal Area Network), RF (Radio Frequency), Bluetooth network, NFC (Near-Field Communication) network, satellite broadcasting network, analog broadcasting network, DMB (Digital Multimedia Broadcasting) network, etc.

[0019] In the following, the term "at least one" is defined as a term including both singular and plural forms, and it will be obvious that even if the term "at least one" does not exist, each component may exist in a singular or plural form and may mean singular or plural. Furthermore, whether each component is provided in a singular or plural form may be changed according to the embodiment.

[0020] At least one user terminal (100) may be a terminal that measures the slope direction and slope of discontinuity surfaces and rock slopes using a web page, app page, program, or application related to a stereographic projection analysis platform, and predicts and visualizes the failure type after performing stereographic projection analysis.

[0021] Here, at least one user terminal (100) may be implemented as a computer capable of connecting to a remote server or terminal via a network. Here, the computer may include, for example, a navigation system, a laptop equipped with a web browser, a desktop, a laptop, etc. At this time, at least one user terminal (100) may be implemented as a terminal capable of connecting to a remote server or terminal via a network. At least one user terminal (100) may include all kinds of handheld-based wireless communication devices, such as navigation, PCS (Personal Communication System), GSM (Global System for Mobile communications), PDC (Personal Digital Cellular), PHS (Personal Handyphone System), PDA (Personal Digital Assistant), IMT (International Mobile Telecommunication)-2000, CDMA (Code Division Multiple Access)-2000, W-CDMA (W-Code Division Multiple Access), Wibro (Wireless Broadband Internet) terminal, smartphone, smartpad, tablet PC, etc.

[0022] The integrated control server (300) may be a server that provides a stereographic projection analysis platform web page, app page, program, or application. Additionally, the integrated control server (300) may be a server that preprocesses and coordinates data collected from a user terminal (100) and stores it in a database, integrates the data from the user terminal (100) with GIS, and displays destruction types on a road view or 2D or 3D map in conjunction with a map service. Here, the integrated control server (300) may be implemented as a computer capable of connecting to a remote server or terminal via a network. Here, the computer may include, for example, a navigation system, a laptop, a desktop, a laptop equipped with a web browser.

[0023] FIG. 2 is a block diagram for explaining a user terminal included in the system of FIG. 1, and FIG. 3 and FIG. 4 are drawings for explaining an embodiment in which a stereographic projection analysis platform according to an embodiment of the present invention is implemented.

[0024] Referring to FIG. 2, the user terminal (100) may include a measurement unit (110), a conversion unit (120), a geometric analysis unit (130), a calculation unit (140), a type classification unit (150), a visualization unit (160), a quantitative value provision unit (170), and a field information recording unit (180).

[0025] When an integrated control server (300) or another server (not shown) operating in conjunction with an embodiment of the present invention transmits a stereographic analysis platform application, program, app page, web page, etc. to at least one user terminal (100), the at least one user terminal (100) may install or open the stereographic analysis platform application, program, app page, web page, etc. Additionally, a service program may be executed on at least one user terminal (100) using a script executed in a web browser. Here, a web browser refers to a program that enables the use of web (WWW: World Wide Web) services and receives and displays hypertext described in HTML (Hyper Text Mark-up Language), and includes, for example, Chrome, Microsoft Edge, Safari, Firefox, Whale, UC Browser, etc. Additionally, an application refers to an application program on a terminal, and includes, for example, an app executed on a mobile terminal (smartphone).

[0026] Referring to FIG. 2, the measuring unit (110) can measure the angle of inclination and the direction of inclination of the discontinuity surface and the rock slope. At this time, the discontinuity surface refers to a surface within the rock mass where continuous rock material is broken and mechanical properties change abruptly, and it refers to a structural surface that divides the rock mass into several rock blocks, such as joints, faults, bedding planes, and fracture zones, and governs the failure behavior of the rock slope. The rock slope refers to a slope formed by natural or artificial cutting, where the main constituent material is rock rather than soil, and it refers to a topographic structure whose stability is greatly affected by the distribution and directionality of discontinuity surfaces such as joints, faults, and bedding planes existing within. Accordingly, the angle of inclination and the direction of inclination of the discontinuity surface and the rock slope may differ from each other, and as shown in FIG. 4e to 4j, the angle of inclination and the direction of inclination of the discontinuity surface (red line) and the angle of inclination and the direction of inclination of the rock slope (green line) may differ from each other. As shown in the top of Fig. 4g, the more similar the angle of inclination and the direction of inclination of the discontinuity surface and the rock slope are, the more likely the first planar failure shown in the top of Fig. 4l is to occur. However, as shown in Fig. 4h, when the directions of inclination of the discontinuity surface and the rock slope are opposite to each other, stability increases, making it difficult for planar failure to occur.

[0027] In one embodiment of the present invention, the stability of the rock slope is measured from the angle of inclination of the discontinuity surface and the rock slope, and if failure occurs, the type of failure (Fig. 4l) is analyzed.

[0028] At this time, the discontinuity surface must be measured, and since this is disclosed in the applicant's prior registered patent, Korean Patent No. 10-2804759 (published on May 7, 2025), it will be referred to therein. However, to summarize briefly for the sake of explanation, when the Clinometer menu is selected in FIG. 4a, the user terminal (100) can load sensor data from at least one sensor. When the user terminal (100) is placed in close contact with the discontinuity surface slope as shown in the bottom photograph of FIG. 4b, the angle of inclination and the direction of inclination of the user terminal (100) can be considered to be the same as the angle of inclination and the direction of inclination of the discontinuity surface. When the user terminal (100) is in a stationary state while in close contact with the discontinuity surface, the accelerometer and magnetometer built into the user terminal (100) represent the relative gravitational acceleration and the magnitude and direction of the geomagnetic field according to the orientation of the user terminal (100) in the form of a three-dimensional vector centered at the origin (0,0,0). Assuming there is no physical movement or external magnetic interference, the gravitational acceleration vector can be considered as a normal vector to the horizontal plane, and the geomagnetic field vector as a vector indicating the direction of magnetic north, thereby allowing the angle of inclination and the direction of inclination of the discontinuity surface to be calculated.

[0029] Likewise, the angle of inclination and the direction of inclination of the rock slope can be measured with a clinometer as described above, or if there are values ​​that have been measured or are known in advance, the user terminal (100) can receive and store them.

[0030] The conversion unit (120) can convert the angle of inclination and the direction of inclination of the discontinuity surface and the rock slope into a stereographic projection coordinate system. A stereographic projection coordinate system is a coordinate system that expresses directional information on a sphere as a two-dimensional coordinate system by projecting it onto a plane based on the center of the sphere, as shown in FIG. 4n. In the field of rock engineering, it is a coordinate system used to geometrically compare and analyze the angle of inclination and the direction of inclination of the discontinuity surface and the rock slope on a single plane. In particular, by projecting the normal direction of each surface based on the lower hemisphere, the relative directional relationship between the discontinuity surface and the rock slope, the direction of intersection, and the escape area (Daylight Envelope) can be intuitively expressed. The purpose of this transformation to a stereographic coordinate system is to enable quantitative comparison of three-dimensional directional information of discontinuities and rock slopes in two dimensions, thereby allowing for rapid and consistent determination of kinematic failure possibilities such as planar failure, wedge failure, and overturning failure, and to enable simultaneous use in numerical calculation and visualization of complex spatial directional relationships.

[0031] At this time, referring to Fig. 4n, the stereographic projection is a method for qualitatively analyzing the activity of the rock mass with respect to the slope by projecting the 3D rock mass shape onto a 2D plane. It is broadly divided into two methods: the Great Circle (predicting the possibility of wedge failure) and the Pole (predicting the possibility of planar and overturning failure). The Great Circle projection analyzes stability against wedge failure, while the Pole projection analyzes stability against planar failure and overturning failure, and each area must be reviewed separately. In Fig. 4n, Area ① corresponds to an unstable region as Daylight, where the slope of the discontinuity surface is greater than the friction angle; Area ② corresponds to a stable region as Daylight, where the slope of the discontinuity surface is smaller than the friction angle; and Area ③ corresponds to a stable region where the slope of the discontinuity surface is smaller than the friction angle and is not Daylight. ④ is an unstable region with a potential risk of topping collapse, and ⑤ corresponds to a stable region because it is not a Daylight or Toppling Envelope even if the slope of the discontinuity surface is greater than the friction angle. In addition, discontinuities such as joints and faults containing risk factors such as infill interbedded material or groundwater flow, in addition to long extensions of the discontinuity surface, are considered as critical risk discontinuities in the analysis even if the directionality does not appear predominantly during stereographic projection analysis.

[0032] <Convert to Orthographic Coordinate System>

[0033] The angle of inclination and the direction of inclination of the discontinuity surface and the rock slope are converted into a stereographic coordinate system. At this time, each variable is used as is from the applicant's prior registered patent, Korean Patent No. 10-2804759 (published May 7, 2025). Since the angle of inclination of the discontinuity surface is derived as d and the direction of inclination of the discontinuity surface as n by mathematical formulas 1 through 8 of Korean Patent No. 10-2804759 (published May 7, 2025), it is decided to write based on this.

[0034] First, the measured inclination angle and inclination direction of the discontinuity surface are converted into a normal direction vector in three-dimensional space as shown in Equation 1.

[0035]

[0036] i is the index of the discontinuity surface, di is the dip angle of discontinuity surface i, ni is the dip direction of the discontinuity surface, and pi is the unit pole vector of discontinuity surface i. A unit pole vector refers to a vector obtained by normalizing the normal vector representing the directionality of a plane to a length of 1. In other words, it is a direction vector obtained by normalizing the normal vector of the normal direction calculated from the dip angle and dip direction of the plane to a magnitude of 1. Accordingly, ||pi||=1. In particular, since a method of converting the directions of multiple discontinuities into a set of pole vectors and then overlaying them on a stereographic projection for analysis is generally used in rock slope stability assessment, they are converted into unit pole vectors.

[0037] Rock slopes also create a pole vector, which can be expressed as Equation 2.

[0038]

[0039] ds is the angle of inclination of the rock slope, ns is the direction of inclination of the rock slope, and ps is the unit pole vector of the rock slope. Equation 2 is used to express the orientation of the rock slope in a way that is comparable to the discontinuity surface using the same geometric standard.

[0040] Next, the vector direction is corrected (lower hemisphere projection correction) to satisfy the lower hemisphere standard used in stereoscopic projection.

[0041]

[0042] In this case, ui is a vector for stereographic projection based on the lower hemisphere, and (pi)z is the vertical component (z-axis direction component) of the unit pole vector pi. In actual rock slopes, the direction of gravity is downward, and planar, overturning, and wedge failures are all determined by geometric relationships in the direction of the lower hemisphere. Therefore, (pi)z is used because the normal vector pointing upward must be excluded from the analysis or flipped. In other words, it is to determine whether the unit pole vector pi is directed toward the lower hemisphere and to invert the unit pole vector.

[0043] Then, convert the discontinuity surface i into planar projection coordinates.

[0044]

[0045] (ui)x, (ui)y, (ui)z are the respective XYZ components of vector ui, and Xi and Yi are the planar projection coordinates of discontinuity surface i. Through Equation 4, the 3-dimensional unit pole vector is converted into a point in a 2-dimensional planar projection coordinate system.

[0046] The geometric analysis unit (130) can analyze the geometric relationship based on the angle between the discontinuity surface and the rock slope. First, when determining the geometric relationship, the relative angle indicators of planar failure, wedge failure, and overturning failure must be known. At this time, planar failure is a type of failure that occurs as a rock block formed along a single discontinuity surface moves toward the rock slope using the discontinuity surface as a sliding surface, as shown in FIGS. 4g, 4h, or the first figure from the top of FIGS. 4l. Wedge failure is a type of failure that occurs as a wedge-shaped rock block formed by the intersection line of two or more discontinuity surfaces moves toward the rock slope along the direction of the intersection line, as shown in FIGS. 4i, 4j, and the second figure from the top of FIGS. 4l. Topping failure is a type of failure that occurs when a rock block tilts forward and rotates and overturns due to gravity, using a nearly vertical discontinuity plane as the axis of rotation, as shown in the bottom figures of Figs. 4k and 4l.

[0047] division Planar fracture Wedge Destruction Evangelism destruction Destruction agent It is a rock block partitioned by a single discontinuity. It is a wedge-shaped rock block demarcated by the intersection line of two discontinuities. It is a wedge-shaped rock block demarcated by the intersection line of two discontinuities. Dominant discontinuity Dominant discontinuity It is two or more discontinuous surfaces It is a nearly perpendicular discontinuity surface. Main movement patterns It is a sliding type. It is a sliding along line type. It is a form of rotation and conduction. Key geometric conditions The discontinuity surface is daylighted toward the slope The intersection line is open toward the slope. The discontinuity acts as the conduction axis. Inclination angle relationship Friction angle < Discontinuity slope angle < Rock slope angle The intersection line plunge is smaller than the slope gradient The discontinuity plane is nearly vertical. Slope direction condition The slope direction of the discontinuity surface is similar to the slope direction. The direction of the intersection line is similar to the direction of the slope. The discontinuity surface tilts in the opposite direction of the slope kinematic interpretation method Determined as the location of the discontinuity surface pole in the stereographic projection Determined by the intersection vector position in stereoscopic projection Determined by the presence of a conduction region in the planar projection Linkage with mechanical interpretation Considering sliding surface shear resistance Considering shear resistance in the direction of the intersection Consideration of rotational moment and self-weight

[0048] Accordingly, the relative angle of plane failure can be expressed as shown in Equation 5 below.

[0049]

[0050] At this time r (P) i is the relative angle between discontinuity surface i and the rock slope. In other words, it represents the geometric arrangement in which rock blocks formed along the discontinuity surface can slide in the direction of the rock slope.

[0051] Next, the relative angle of wedge failure must be derived, but before that, the unit vector of the line of intersection of the discontinuity surfaces must be calculated first.

[0052]

[0053] At this time, (hat)lij is the unit vector in the direction of the intersection of discontinuity surfaces i,j. The potential direction of movement of the wedge block can be defined through Equation 6.

[0054] Then, the relative angle of wedge failure is calculated to geometrically evaluate whether the wedge block (wedge-shaped rock block) can deviate from the rock slope in the direction of the intersection line.

[0055]

[0056] In this case, r(W)ij is the relative angle between the intersection line and the rock slope. The intersection line is a line where two different discontinuities meet, and a wedge-shaped rock block is formed along this line. It is a reference line where wedge failure can occur if this intersection line has a geometrically unfavorable relationship with the direction of gravity or the direction of the rock slope.

[0057] Next, the relative angle of overturning failure is calculated, which allows for the indication of the conditions under which a rock block can rotate and overturn around the discontinuity plane as an axis.

[0058]

[0059] r(T)i represents the relative angle between the discontinuity surface and the opposite direction (-) of the rock slope.

[0060] The calculation unit (140) can calculate the probability of failure in which a rock block surrounded by a discontinuity surface is destroyed in the direction of the rock slope based on the geometric relationship between the discontinuity surface and the rock slope. In order to calculate the probability of failure, a critical value for each type of failure must be calculated, a margin must be derived accordingly, and the probability of failure must be calculated through a stability evaluation based on this.

[0061] At this time, the reason the geometric analysis unit (130) does not use a stereographic coordinate system is that the stereographic coordinate system is not a coordinate for calculation, but a coordinate for judgment, visualization, and area determination. Accordingly, when performing geometric analysis, calculations are performed by returning to a 3D vector. That is, since 2D is a coordinate for seeing [where it is], it is mathematically more accurate to perform angle and relationship calculations in 3D. Accordingly, when calculating the relative angle described above and the threshold value, safety margin, risk level, and stability described later, calculations are performed in a 3D vector space, and when making a judgment, that is, when determining the geometric area, for example, to determine whether the stereographic coordinate is inside the Daylight Envelope or inside a specific type of destruction area. It is also used when performing visualization, UX, and GIS integration (using 2D). This is because a 3D vector is actually disadvantageous at this stage.

[0062] <Critical values ​​by failure type>

[0063] First, the method for calculating the critical value for each failure type is explained. At this stage, the discontinuity friction angle must be defined before calculating the critical value for each failure type. Here, the discontinuity friction angle can be defined as shown in Equation 9 below. In this context, the discontinuity friction angle is a value expressed in degrees representing the degree to which a surface provides shear resistance when shear deformation occurs along a discontinuity surface within the rock mass; it is a shear strength characteristic determined by the roughness of the discontinuity surface, the filler material, and the weathering state. Referring to Fig. 4f, the angle formed by the blue line (30 degrees in Fig. 4f) is the discontinuity friction angle.

[0064]

[0065] Here, φi is the effective friction angle of discontinuity surface i, and Ji is the RMR-based shear resistance index. Here, RMR (Rock Mass Rating) is a rock mass classification index that quantitatively evaluates the engineering quality and stability of a rock mass by scoring various geological factors such as rock mass strength, joint condition, and groundwater conditions. Through Equation 9, the material property information of the discontinuity surface is converted into physical resistance parameters that can be used for failure determination.

[0066] Next, the critical value for each failure type is calculated as shown in Equations 10 to 12 below.

[0067]

[0068]

[0069]

[0070] Equation 10 is the plane failure critical value, Equation 11 is the wedge failure critical value, and Equation 12 is the conduction failure critical value. In other words, they represent the geometric boundary reference values ​​that distinguish between the state where each failure type can occur and the stable state.

[0071] <Redundancy by Failure Type>

[0072] In this context, safety margin is a numerical representation of how far the current geometric state of the rock slope and discontinuity surface is from the critical value.

[0073]

[0074] Here, C(k) is the margin of error for failure type k. k is the failure type index, P is flat failure, W is wedge failure, T is overturning failure, and r(k) is the current value for failure type k. That is, it is the current relative angle.

[0075] <Quantitative Assessment of Stability>

[0076]

[0077] The stability status for each failure type can be quantitatively determined based on the sign of the safety margin.

[0078] Risk Assessment

[0079] The possibility of failure can be based on risk. In this case, the risk for each type of failure may be as shown in Equation 15 below.

[0080]

[0081] In other words, margin C (k) The risk is calculated only when is positive (only when it exceeds the critical value and is in the destructible region), and the magnitude is divided by the critical value to create a dimensionless normalized risk. Accordingly, the stable region (C (k) In <0), R (k) Define so that =0.

[0082] The overall risk can be derived as shown in Equation 16 below.

[0083]

[0084] Rtotal is the overall risk value for the rock slope, and R (P) is the plane failure risk value, R (W) is the wedge breakage risk value, R (T)is the wedge failure risk value. max(·) is a function that returns the maximum value among the input values. Accordingly, the meaning of Equation 16 is that the risk level of the most dangerous type among the three failure types is adopted as the overall risk level and output. Through this, it becomes possible to determine whether there is a possibility of failure, and if so, what the failure type is and how dangerous it is. Here, the risk level can also be graded, as shown in Equation 17 below.

[0085]

[0086] At this time G (k) is the risk level of failure type k, and R (k) ε is the risk value for failure type k, and τ1 and τ2 are risk class boundary values ​​and constants satisfying 0 < τ1 < τ2. Low, Medium, and High are risk class labels. Through this, the continuous risk R (k) It can be divided into sections and graded or displayed according to operational or display purposes. In this case, R (k) is C (k) It is the value normalized to the size when is positive.

[0087] variable definition Critical Value r (k) crit Margin C (k) =r (k) crit-r (k) Stability assessment C (k) Stable / Critical / Unstable Risk level C (k) R, the value normalized to the magnitude when is positive (k)

[0088] The calculation unit (140) can calculate the probability of a rock block surrounded by a discontinuity surface being destroyed in the direction of the rock slope based on the geometric relationship between the discontinuity surface and the rock slope. At this time, the probability of destruction is the result of quantitatively or semi-quantitatively determining whether the spatial and geometric relationship between the discontinuity surface and the rock slope satisfies the necessary and sufficient conditions of a specific destruction mechanism. That is, it is a process of determining whether the rock block is theoretically structured to move in the direction of the rock slope. The probability of destruction can be derived through a three-stage judgment logic.

[0089] Step 1: Determination of Geometric Possibilities by Destruction Type 1. Possibility of planar activity 1) Is the slope direction of the discontinuity similar to the direction of the rock slope? 2) Is the slope angle of the discontinuity smaller than the slope angle? 3) Is the pole of the discontinuity located in the slope daylight area? ▶ If satisfied → Geometric possibility of planar activity = True 2. Possibility of Wedge Destruction 1) Calculate the line of intersection of the two discontinuities 2) Does the slope of the line of intersection point toward the rock slope? 3) Does the line of intersection open outward from the rock slope? 4) Is the angle of inclination of the line of intersection favorable in the direction of gravity? ▶ If satisfied → Geometric probability of wedge failure = True 3. Possibility of Conduction 1) Is the discontinuity surface tilted backward toward the rock slope? 2) Is the unit pole vector located in the overturning region? ▶ If satisfied → Probability of overturning = True Step 2: Determination of Mechanical Limits Based on Friction Conditions - Check for the effective inclination angle θ of the discontinuity surface (or intersection line) and the discontinuity surface friction angle φ Decision Condition ▶θ > φ - If the inclination angle exceeds the friction angle → Activity possible - If it is less than or equal to the friction angle → Geometrically possible but actually impossible to destroy Step 3: Calculation Method for Destructibility Value 1. Binary test method -1: Destructible -0: Indestructible 2. Step-by-step possibility index -0.0 : Geometric condition not satisfied -0.5 : Geometric condition satisfied, friction condition close -1.0 : Both geometric and friction conditions satisfied 3. Continuous stochastic exponential (not probability) ▶Pf=f(θ-φ, slope direction alignment, degree of openness) - This value is not a statistical probability of occurrence, but a normalized indicator of the degree of condition fulfillment.

[0090] In the first step, it is determined first what type of failure is possible. In the second step, since failure does not occur if frictional resistance is not overcome even if it is geometrically possible, the effective inclination angle θ of the discontinuity surface (or intersection line) and the discontinuity surface friction angle φ are examined, and it is determined that failure occurs if θ > φ. In this step, a friction circle of stereographic projection is used. In the third step, the probability of failure must now be calculated as a value, which can be expressed as a binary judgment (1: failure possible / 0: failure impossible), as a stepwise probability index, or as a continuous probability index. However, the methods of expression are not limited to those listed and are not excluded for reasons not listed.

[0091] Automatic Determination of Rock Slope Failure Potential Based on Orbital Projection

[0092] The possibility of failure of a rock slope can be automatically determined based on stereographic projection. The calculation unit (140) receives data on the angle of inclination and the direction of inclination of the discontinuity surface and the rock slope, and converts the data into a unit pole vector. At this time, the direction is normalized to match the lower hemisphere standard using the vertical component of each pole vector. Then, the calculation unit (140) projects the normalized unit pole vector onto a stereographic coordinate system and creates a daylight area according to the direction of the rock slope to determine whether each discontinuity surface pole or intersection line is located within the corresponding daylight area. Then, the calculation unit (140) calculates the intersection line through the combination of discontinuity surfaces and projects the calculated intersection line vector onto a stereographic coordinate system to determine whether a wedge block is formed and whether the opening direction of the intersection line is facing the direction of the rock slope.

[0093] Additionally, the calculation unit (140) generates a friction circle based on the friction angle of the discontinuity surface and determines whether the discontinuity surface pole or intersection line is located outside the friction circle to determine whether the mechanical condition exceeding the friction resistance is satisfied. Then, the calculation unit (140) comprehensively determines whether at least one failure mechanism among planar failure, wedge failure, and overturning failure satisfies both geometric and friction conditions simultaneously, and based on the determination result, calculates the failure probability of the rock block being destroyed in the direction of the rock slope in the form of a binary value or a stepwise index, and can provide this to the user terminal (100) for visualization.

[0094] The type classification unit (150) can distinguish failure types based on the geometric relationship between the discontinuity surface and the rock slope before the calculation unit (140) calculates the possibility of failure, such as planar failure where the rock block slides in the direction of the rock slope, wedge failure where the rock block, which is a wedge block formed by the intersection line of two discontinuity surfaces, moves toward the rock slope, and planar failure where the rock block is topped out with the discontinuity surface as the axis of rotation. The failure types are based on a margin of error C for each failure type. (k) or risk R (k) Determine by comparing.

[0095] When classifying failure types based on margin, the following mathematical formula 18 can be used.

[0096]

[0097] This is a method of selecting the failure type that exceeds the critical value the most among plane failure, wedge failure, and overturning failure, and it is a method of selecting the failure type that is most likely to occur first. In other words, since it is kinematically unstable if C(k) > 0 and stable if C(k) < 0, the largest C(k) can be predicted as the failure type.

[0098] When classifying failure types based on risk, the following mathematical formula 19 can be used.

[0099]

[0100] The margin is based on a value normalized to a threshold, and relative comparison between failure types is intuitive. This allows for good integration with GIS, maps, and color displays. This is because, since the risk level is a dimensionless continuous value in the range of 0 to 1, it can be directly mapped to map-based visualizations (color, transparency, grading).

[0101] In other words, to be represented as colors, symbols, or layers on a GIS map, the values ​​must be continuous, have a limited range, be dimensionless, and allow for direct comparison between different points. Since R(k)=0 signifies stability and R(k)=1 signifies proximity to or exceeding a threshold, it can be directly used for color gradients. Furthermore, because it is a dimensionless value, there is no confusion even when overlaying different layers in GIS. Additionally, as R(k) increases with increasing risk, it intuitively aligns with the color scale (green → yellow → red).

[0102] Accordingly, it can be used in GIS as shown in Table 4 below.

[0103] type How to use Point (measurement point) color -Rtotal standard color- Destruction type is separated into icon form Line (rock slope section) color Use average or maximum risk Surface (Grid / DEM-based slope) Pixel-by-pixel risk heatmap

[0104] The visualization unit (160) can visualize and display the failure type using symbols or colors. It can be displayed on a map or integrated into a road view or GIS. Through this, it becomes possible to intuitively identify which part of the ground is weak and will fail, and what the type will be.

[0105] The quantitative numerical value providing unit (170) can calculate the fracture type threshold value and fracture type stability where a fracture type may occur, and provide a fracture type risk level based on the fracture type threshold value and fracture type stability. Since the risk level is as described above, a redundant explanation will be omitted.

[0106] The field information recorder (180) receives field information from the user, including the type of discontinuity surface, RMR (Rock Mass Rating), measurement point name, and other details, and can upload it to the integrated control server (300) by linking it with metadata including photos taken at the user terminal (100) and GPS. That is, the field information recorder (180) automatically collects field photos taken using a sensor linkage API provided by a mobile operating system and location information obtained through a GPS module, packages the input data and metadata into a JSON-based structure, and uploads them to the integrated control server (300) via HTTPS communication, thereby processing so that measurement data, analysis results, and field records are consistently linked and stored in the database of the integrated control server (300).

[0107] Visualization

[0108] The integrated control server (300) receives and stores data from the user terminal (100), and based on the data, can visualize the discontinuity surface inclination angle, inclination direction, and the possibility of rock block destruction by integrating them based on the GIS (Geographic Information System).

[0109] Risk Color Mapping

[0110] That is, the integrated control server (300) can parse data and field information received from the user terminal (100) via an HTTPS-based REST API and store them in a relational database or a spatial database, perform spatial indexing based on GPS coordinates included in the data, and then use a GIS engine (which combines geometric data and attribute data and performs spatial analysis) to convert the slope angle and slope direction of the discontinuity surface and the results of the possibility of rock block failure into spatial objects and map them onto a map coordinate system. In addition, the integrated control server (300) can perform integrated visualization by combining the risk and stability assessment results by failure type into attribute data and providing them to a web client through tile-based map rendering technology, so that the user can intuitively check the distribution of the possibility of failure and the risk level for each measurement point in a web environment.

[0111] Additionally, the integrated control server (300) can convert the risk level by destruction type into a dimensionless normalized numerical value, apply a predefined color mapping rule table to automatically assign color attributes of spatial objects according to the risk level section, and perform visualization processing using a GIS rendering engine and tile-based map visualization technology so that the risk level by measurement point and rock slope section is intuitively expressed on the map in the form of a color gradient or heat map.

[0112] Time History-Based Traceability Visualization

[0113] The integrated control server (300) can provide time history-based change tracking visualization of a rock slope by storing measurement data and analysis results containing time information for the same measurement point or the same spatial grid in a time series data structure, performing time indexing and spatial key mapping, and then displaying the risk change, failure type transition, and stability change trends step-by-step on a map through GIS-based timeline visualization technology.

[0114] Directional Visualization

[0115] The integrated control server (300) can load previously stored slope angle and slope direction data of discontinuity surfaces and rock slopes using a spatial data processing module and a GIS engine, convert the slope angle and slope direction into vector and symbol objects through a direction vector generation algorithm, and execute a geographic coordinate system-based spatial matching (GeoReferencing) process to perform a directional visualization process that superimposes and displays the data on a map to match the actual terrain coordinates. In addition, the integrated control server (300) can call an external 3D map service API and a Road View linkage interface to map the converted direction vectors to a 3D terrain model and a Road View image coordinate system, and then execute a 3D linked visualization process through a rendering engine to display the direction and spatial trend of the discontinuity surfaces so that they are directly overlaid on the 3D terrain and the actual site image.

[0116] Visualization of Destruction Prediction Results

[0117] The integrated control server (300) can execute a failure prediction result visualization process by driving a symbol mapping rule engine based on failure type determination logic and risk calculation results to classify each measurement point into a type of symbol such as planar failure, wedge failure, overturning failure, or not applicable, and displaying this on a GIS map. Additionally, the integrated control server (300) can provide inclination angle and inclination direction values, threshold values ​​by failure type, stereographic projection graph images, and stability determination results in a popup form when a specific symbol is selected through a user interaction processing module. Furthermore, the integrated control server (300) can execute a risk distribution visualization process by using a spatial aggregation and statistical processing module to aggregate risk values ​​on a project unit or section unit, and visually displaying the risk distribution map on a map through color mapping and layer rendering technology.

[0118] <Photo and Attribute Information Linkage>

[0119] The integrated control server (300) can store field photos, measurement data, and attribute information (RMR, type of discontinuity surface, etc.) corresponding to each measurement point by linking them with spatial objects using a media management module and a metadata mapping engine, and manage the connection between measurement values, photos, and analysis results so that they are automatically maintained by running a key mapping process based on a unique identifier, and can perform a photo and attribute information linkage process to periodically or in real time link and display them on a map-based user interface.

[0120] A platform according to one embodiment of the present invention described above may have the effects shown in Table 5 below.

[0121] Types of effects Key Effects Details Significant improvement in immediate on-site stability analysis capabilities Real-time on-site stability assessment is possible Orthographic projection analysis and automatic prediction of planar, wedge, and overturning failure types are performed immediately after measurement on a mobile device, eliminating the existing inefficiency of requiring PC-based analysis upon returning to the office. Enables rapid identification and response to hazardous zones Field technicians can verify the potential for failure immediately upon measurement, enabling real-time identification of hazardous areas and immediate response. Secured structural differentiation from existing simple measurement apps Unlike conventional technology that was limited to simple slope and slope direction measurement, it provides a structure that allows for immediate stability evaluation on-site, thereby simultaneously improving work efficiency and safety. Server-based central integrated management and systematic data history management Central integrated management of measurement and interpretation data is possible. All data measured and interpreted on mobile devices is automatically saved on the server in a normalized structure by user, project, and measurement location. Repeatable measurement and time history analysis are possible It enables repeated measurements of the same section, tracking of changes over time, and history-based risk assessment, thereby overcoming the limitations of single-terminal storage or file-based management methods. Improved data integrity and management efficiency Data integrity and consistency are guaranteed, and data management efficiency is further maximized as the project scale expands. Web GIS-based integrated visualization and advanced decision support Provides map-based integrated visualization Integrated visualization of data stored on the server on a web GIS map along with discontinuity orientation, failure type, thresholds, site photos, and attribute information. Improved intuitive analysis and reliability Measurement values, analysis results, photos, and attribute information are linked and displayed with just a user click, improving the intuitiveness and reliability of slope stability assessment. Increased utilization of remote review and technical support Immediate review is possible via the web even from outside the site, making it effective for remote technical support, review, and supervision tasks.

[0122] A platform according to one embodiment of the present invention has the features shown in Table 6 below compared to the prior art.

[0123] division Conventional mobile inclination measurement app Conventional PC-based professional software The present invention Basic structure Provides only simple measurement functions for inclination angle and inclination direction. Focus on professional interpretation capabilities in an office environment Integrates measurement, interpretation, prediction, transmission, visualization, and history management into a single platform Immediate on-site interpretation On-site judgment is impossible due to lack of interpretation capabilities Not available for immediate use on-site Immediately perform stereographic analysis and failure type prediction on mobile immediately after measurement Destruction type prediction No prediction function for planar failure, wedge failure, or overturning failure Interpretation is possible, but real-time on-site prediction is not possible Automatically predicts planar failure, wedge failure, and conduction failure Workflow Separate recording or manual transmission is required after measurement Manual entry of measurement data is required The entire process, from measurement to server transmission, is automatically linked. Data management method Relies on internal terminal storage or file-level management Relies on project-based file management Stored in a normalized format by user, project, and location through server-based centralized integrated management. GIS Visualization Map-based visualization features are not provided Some result output is possible, but GIS integration is limited. Integrated visualization of directionality, failure type, and risk level based on GIS Mobile-Web Linkage There is no connection structure between mobile and web. There is no concept of mobile integration. Linking mobile real-time analysis with web-based central management in real-time History management and comparative analysis repeated measurements and time series analysis are difficult There are limitations to file-level comparison Repeated measurements at the same point, tracking of changes over time, and history-based analysis are possible. Field-Office Connectivity Disconnection between field and office work It is an office-centric work structure. Realizing a real-time linkage structure between the field and the office Comprehensive effect Remaining at the level of measurement aids It is a specialized interpretation tool, but has low practical applicability in the field. Improving both work efficiency and safety simultaneously with a real-time, integrated rock slope stability assessment system

[0124] Hereinafter, the operation process according to the configuration of the integrated control server of FIG. 2 described above will be explained in detail with reference to FIG. 3 and FIG. 4. However, it is obvious that the embodiment is merely one of the various embodiments of the present invention and is not limited thereto.

[0125] Referring to FIG. 3a, (a) a user terminal (100) measures the angle of inclination and angle of inclination of a discontinuity surface and a rock slope, and (b) identifies the geometric relationship between the discontinuity surface and the rock slope through stereographic projection analysis, and accordingly calculates the failure type critical value, stability, and risk, and (c) predicts the failure type and derives the possibility of failure, and then visualizes and outputs it. Referring to FIG. 3b, an integrated control server (300) receives data from the user terminal (100), processes it as in (b), visualizes the directionality as in (c), and (d) visualizes and provides the failure type in conjunction with various map services.

[0126] FIGS. 4a to 4d are a clinometer (application) according to an embodiment of the present invention, and FIGS. 4e to 4k are drawings illustrating the angle of inclination and direction of inclination of discontinuity surfaces and rock slopes according to failure types, and the stereographic coordinate system. FIG. 4l is a photograph of the results of failure progressing according to actual failure types, and FIG. 4m is a drawing for distinguishing the relationship between discontinuity surfaces and rock slopes. FIG. 4n is an example of a stereographic coordinate system. At this time, FIGS. 4e to 4k are from the blog (yusanghwa), and FIG. 4l is from hydroft.com. Also, FIG. 4n is an attached drawing of the paper (Park Chun-sik, Ha Jeong-cheol. "A Study on Failure Types of Rock Slopes Occurring in Gyeongsangnam-do." Tunnel and Underground Space 28, no. 6 (2018): 569-583.). It is clarified that FIGS. 4e to 4n are not drawings included by the configuration included in the present invention, but are drawings attached as examples to explain each concept.

[0127] As for the details regarding the method of providing a stereographic projection analysis platform in FIGS. 2 to 4 that are not described, they are identical to or can be easily inferred from the details described above regarding the method of providing a stereographic projection analysis platform in FIG. 1, so further explanation will be omitted.

[0128] FIG. 5 is a diagram illustrating the process of transmitting and receiving data between each component included in a system providing a real-time mobile stereographic projection analysis platform for evaluating the stability of a rock slope of FIG. 1 according to an embodiment of the present invention. Hereinafter, an example of the process of transmitting and receiving data between each component will be described through FIG. 5, but the present invention is not limited to such an embodiment, and it is obvious to those skilled in the art that the process of transmitting and receiving data illustrated in FIG. 5 may be modified according to various embodiments described above.

[0129] Referring to FIG. 5, the integrated control server measures the angle of inclination and the direction of inclination of the discontinuity surface and the rock slope (S5100), and converts the angle of inclination and the direction of inclination of the discontinuity surface and the rock slope into a stereographic projection coordinate system (S5200).

[0130] Then, the integrated control server analyzes the geometric relationship between the discontinuity surface and the rock slope based on the angle projected between them (S5300), and calculates the probability of failure of a rock block surrounded by the discontinuity surface being destroyed in the direction of the rock slope based on the geometric relationship between the discontinuity surface and the rock slope (S5400).

[0131] The order of the steps described above (S5100~S5400) is merely an example and is not limited thereto. That is, the order of the steps described above (S5100~S5400) may vary, and some of these steps may be executed simultaneously or deleted.

[0132] As for the details regarding the method of providing the stereographic projection analysis platform of Fig. 5 that are not explained, they are identical to or can be easily inferred from the details explained above regarding the method of providing the stereographic projection analysis platform through Figs. 1 to 4, so further explanation will be omitted.

[0133] A method for providing a planar projection analysis platform according to one embodiment described through FIG. 5 may also be implemented in the form of a recording medium containing computer-executable instructions, such as an application or program module executed by a computer. A computer-readable medium may be any available medium accessible by a computer and includes both volatile and non-volatile media, and both removable and inmovable media. Additionally, a computer-readable medium may include all computer storage media. A computer storage medium includes both volatile and non-volatile, removable and inmovable media implemented by any method or technique for storing information such as computer-readable instructions, data structures, program modules, or other data.

[0134] The method for providing a stereographic projection analysis platform according to one embodiment of the present invention described above may be executed by an application basically installed on a terminal (which may include a program included in a platform or operating system, etc., basically installed on the terminal), or by an application (i.e., a program) directly installed by a user on a master terminal through an application providing server, such as an application store server, an application, or a web server related to the service. In this sense, the method for providing a stereographic projection analysis platform according to one embodiment of the present invention described above may be implemented as an application (i.e., a program) that is basically installed on a terminal or directly installed by a user, and may be recorded on a computer-readable recording medium such as a terminal.

[0135] The foregoing description of the present invention is for illustrative purposes only, and those skilled in the art will understand that other specific forms can be easily modified without altering the technical spirit or essential features of the present invention. Therefore, the embodiments described above should be understood as illustrative in all respects and not restrictive. For example, each component described as a single unit may be implemented in a distributed manner, and components described as distributed may likewise be implemented in a combined form.

[0136] The scope of the present invention is defined by the claims set forth below rather than by the detailed description above, and all modifications or variations derived from the meaning and scope of the claims and equivalent concepts thereof should be interpreted as being included within the scope of the present invention.

Claims

Claim 1 A measuring unit for measuring the angle of inclination and the direction of inclination of a discontinuity surface and a rock slope; a conversion unit for converting the angle of inclination and the direction of inclination of the discontinuity surface and the rock slope into a stereographic projection coordinate system; a geometric analysis unit for analyzing the geometric relationship between the discontinuity surface and the rock slope based on the angle; a calculation unit for calculating the probability of failure in which a rock block surrounded by the discontinuity surface is destroyed in the direction of the rock slope based on the geometric relationship between the discontinuity surface and the rock slope; a planar failure in which the rock block slides in the direction of the rock slope based on the geometric relationship between the discontinuity surface and the rock slope prior to calculating the probability of failure; and a wedge failure occurring as a rock block, which is a wedge block formed by the intersection line of two discontinuity surfaces, moves (falls) toward the rock slope. A user terminal comprising: a type classification unit for classifying the failure type of planar failure in which the rock block is topped out by a rotation axis on the discontinuity surface; a visualization unit for visualizing and displaying the failure type using a symbol or color; and a quantitative value providing unit for calculating a failure type threshold value and failure type stability in which the failure type may occur, and providing a failure type risk level based on the failure type threshold value and failure type stability. and an integrated control server that receives and stores data from the user terminal and, based on the data, integrates and visualizes the discontinuity surface inclination angle, inclination direction, and the possibility of failure of the rock block based on a Geographic Information System (GIS); wherein the calculation unit defines the discontinuity surface friction angle, which is a shear strength characteristic determined by the roughness, filler, and weathering state of the discontinuity surface, as a value expressed in angle representing the degree to which the surface provides shear resistance when shear deformation occurs along the discontinuity surface within the rock mass, and calculates critical values ​​for each failure type, including flat failure, wedge failure, and overturning failure, respectively, based on the defined discontinuity surface friction angle.Based on the critical values ​​for each failure type calculated above, a margin of safety for each failure type is calculated, which numerically expresses how far the current geometric state of the rock slope and discontinuity surface is from the critical value; the stability state for each failure type is quantitatively determined according to the sign of the calculated margin of safety for each failure type; the risk level for each failure type is calculated based on the calculated margin of safety for each failure type; a comprehensive risk level is calculated based on the calculated risk level for each failure type; and the probability of failure is calculated based on the calculated comprehensive risk level. The probability of a rock block surrounded by a discontinuity surface failing in the direction of the rock slope is calculated based on the geometric relationship between the discontinuity surface and the rock slope. The probability of failure is the result of quantitatively or semi-quantitatively determining whether the spatial and geometric relationship between the discontinuity surface and the rock slope satisfies the necessary and sufficient conditions of a specific failure mechanism. The integrated control server parses data and field information received from the user terminal via an HTTPS-based REST API and stores them in a relational database or a spatial database, and the data After performing spatial indexing based on the included GPS coordinates, a GIS engine is used to convert the slope angle and direction of discontinuities and the results of rock block failure probability into spatial objects and map them onto a map coordinate system; to enable users to intuitively check the distribution of failure probability and risk levels by measurement point in a web environment, the results of risk and stability assessment by failure type are combined into attribute data and provided to a web client via tile-based map rendering technology; after converting the risk levels by failure type into dimensionless normalized values, a predefined color mapping rule table is applied to automatically assign color attributes to spatial objects according to risk ranges.A system providing a real-time mobile stereographic projection analysis platform for evaluating the stability of rock slopes, characterized by performing visualization processing using a GIS rendering engine and tile-based map visualization technology so that risk levels for measurement points and rock slope sections are intuitively expressed on a map in the form of color gradients or heatmaps. Claim 2 delete Claim 3 delete Claim 4 delete Claim 5 A system for providing a real-time mobile stereographic projection analysis platform for evaluating the stability of a rock slope, characterized in that, in claim 1, the user terminal further comprises a field information recording unit that receives field information from a user, including the type of discontinuity surface, RMR (Rock Mass Rating), measurement point name, and other details, and uploads it to the integrated control server in conjunction with metadata including photos taken at the user terminal and GPS.

Images