# US 12,216,239 B1 · Mapping method of landslide threat range based on equivalent friction coefficient and trend analysis > Agents: this data is available as JSON from the patentgrep API and MCP server — see https://patentgrep.com/llms.txt - Number: US 12,216,239 B1 - Document ID: US12216239B1 - Status: Granted - Kind: B1 - Application number: 18/764,288 - Filed: 2024-07-04 - Granted: 2025-02-04 - Earliest claimed: 2024-02-02 - Assignees: Institute of Geology and Geophysics, Chinese Academy of Sciences - Applicants: Institute of Geology and Geophysics, Chinese Academy of Sciences - Inventors: Xueliang Wang; Mengmeng Ban; Mengjie Zhang; Shengwen Qi; Lihui Li; Bowen Zheng - Web page: https://patentgrep.com/patent/US12216239B1 ## CPC - G01V 20/00: Geomodelling in general - G01V: GEOPHYSICS; GRAVITATIONAL MEASUREMENTS; DETECTING MASSES OR OBJECTS; TAGS (means for indicating the location of accidentally buried, e.g. snow-buried, persons A63B29/02) ## Abstract Disclosed is a mapping method of landslide threat range based on equivalent friction coefficient and trend analysis, which includes the following steps: obtaining physical parameters of a landslide, and obtaining a volume of the landslide according to an area in the physical parameters; selecting relevant parameters based on a rock type in the physical parameters, and obtaining the equivalent friction coefficient according to the relevant parameters and the volume; obtaining a landslide runout distance according to the equivalent friction coefficient, determining coordinate points of a hyperbola and a front edge boundary range according to the landslide runout distance, and performing a hyperbolic fitting on two side boundaries of the landslide according to the coordinate points to obtain a side boundary range; generating the landslide threat range based on the front edge boundary range and the side boundary range. ## Claims ### Claim 1 An automated mapping method for assessing and managing a landslide hazard zoning for urban landslide disaster prevention, mitigation and disaster emergency based on an equivalent friction coefficient and a trend analysis, comprising: obtaining vector information of a landslide source surface by remote sensing identification or InSAR interpretation, and extracting parameters of the landslide source surface including area, width, slip direction, and rock type in batches based on ArcGIS software; selecting relevant parameters based on the rock type in the parameters, and obtaining the equivalent friction coefficient according to the relevant parameters and a volume of the landslide source surface; obtaining a landslide runout distance according to the equivalent friction coefficient, determining coordinate points of a hyperbola and a front edge boundary range according to the landslide runout distance, and performing a hyperbolic fitting on two side boundaries of the landslide source surface according to the coordinate points to obtain a side boundary range; wherein determining the coordinate points of the hyperbola comprises: calculating a center of gravity of the landslide source surface, obtaining P1 coordinates of a top center point of the landslide source surface, extending a first target distance from the P1 coordinates along the slip direction, while being perpendicular to the slip direction, respectively extending a second target distance to both sides from the P1 coordinates to obtain a first endpoint coordinate and a second endpoint coordinate, extending to both sides according to an expansion angle from the first endpoint coordinate and the second endpoint coordinate, and intersecting with a vertical line segment to obtain P2 coordinates and P3 coordinates; and generating the landslide hazard zoning based on the front edge boundary range and the side boundary range. ### Claim 2 (depends on 1) The automated mapping method according to claim 1, wherein obtaining the volume of the landslide source surface comprises: checking whether differences exist between the parameters, performing a correlation analysis on checked parameters, constructing a relationship model between landslide area and volume, and inputting the area in the parameters into the relationship model between landslide area and volume to obtain the volume of the landslide source surface. ### Claim 3 (depends on 2) The automated mapping according to claim 2, wherein a method for constructing the relationship model between landslide area and volume comprises: V=m×An wherein V is the volume of the landslide source surface, A is the area of the landslide source surface, m is a first constant, and n is a second constant. ### Claim 4 (depends on 1) The automated mapping method according to claim 1, wherein obtaining the equivalent friction coefficient comprises: constructing an exponential function relationship between the equivalent friction coefficient and the volume, and inputting the relevant parameters and the volume into the exponential function relationship to obtain the equivalent friction coefficient. ### Claim 5 (depends on 4) The automated mapping method according to claim 4, wherein a method for constructing the exponential function relationship comprises: H/L=a×V−b wherein H/L is the equivalent friction coefficient, a and b are the relevant parameters, V is the volume, H is a maximum vertical distance of the landslide source surface, and L is a maximum horizontal distance. ### Claim 6 (depends on 1) The automated mapping method according to claim 1, wherein a method of performing the hyperbolic fitting on the two side boundaries of the landslide source surface comprises: ( y - b ) * cos ⁢ θ - ( x - a ) * sin ⁢ θ = [ ( x - a ) ⁢ cos ⁢ θ + ( y - b ) ⁢ sin ⁢ θ ] 2 2 ⁢ p wherein a and b are translation quantities, y is an ordinate, θ is the expansion angle, x is an abscissa and p is a constant. ### Claim 7 (depends on 1) The automated mapping method according to claim 1, wherein determining the front edge boundary range comprises: based on the P1 coordinates, the P2 coordinates and the P3 coordinates, solving a boundary model to obtain a side boundary of a landslide runout range, constructing a circular model with a vertex of a parabola as a center of a circle and a predicted runout distance as a radius, and determining a front edge boundary of the landslide runout range through an inscribed part of the circular model and the parabola.