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3D view of slope failure 

3D view of slope failure 

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In this paper, by combining the geographic information systems GIS spatial analysis function and a hydrologic analysis and modeling tool with a column-based three-dimensional 3D slope stability analysis model, a new GIS grid-based 3D deterministic model has been developed for slope stability analysis. Assuming the initial slip as the lower half of...

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... satisfy complicated profile conditions. Another column-based method, Lam and Fredland ͑ 1993 ͒ , is an extension of the 2D general limit equilibrium formulation, and it can be solved using an iterative back-substitution procedure. The method of Leshchisky and Huang ͑ 1992 ͒ is not column-based and therefore does not have to assume the interforces between columns. This method takes a landslide as a whole and uses a limit equilibrium equation of functions of z ( x , y ), ␴ ( x , y ), and ␪ ( x , y ) to minimize the safety factor. This method simply assumes that the functions of z ( x , y ), ␴ ( x , y ), and ␪ ( x , y ) are continuous on the surface of slide and it is capable of dealing with a general but symmetrical 3D slip surface. Although greatly differing results may be obtained by using 3D, 2D, or 1D models for slope stability, the difference between 3D methods is not too large and it is acceptable for use in GIS when analyzing a certain large area using a simplified 3D model ͑ e.g., Hovland’s model ͒ . For the study of a large area, even a simplified 3D model can be satisfactory because the parameters chosen for the stability analysis are also generally not of high accuracy. In this research, by combining the GIS spatial analysis function with an improved Hovland ͑ 1977 ͒ 3D slope stability analysis model, in which the pore groundwater pressure is considered, a new GIS-based 3D deterministic model is introduced. To detect the 3D critical slip, a search is performed by means of a minimization of the 3D safety factor using the Monte Carlo random simulation method. The basic slip surface is assumed to be an ellipsoid slip and the critical slip will be changed according to layer strength and condition of discontinuous surface. The object of this change is to minimize the 3D safety factor. The other important problem for landslide hazard assessment is the nature and extent of the study object, but this topic has not received adequate attention in literature. Many researchers take it for granted that the pixel ͑ or grid ͒ will be the study object, simply because grid-based objects can be easily obtained in GIS and easily managed in the infinite slope model analysis. Grid-based objects are regularly distributed in space, so computer processing and manipulation is fast and algorithmically simple. But the grid cell does not bear any relation to the mechanism of slope failure and even to geological, geomorphologic, or other environmental boundaries, so the results obtained by this approach are relatively inaccurate and unacceptable in physical terms. In the natural environment, the interrelation between materials, form, and processes result in morphological boundaries which frequently reflect geomorphological and geological difference. Landslides have fixed relations to the geological and geomorphologic aspects of the study area. So in this research, the slope unit is taken as the object of study. The slope unit, that is, the portion of land surface that contains a set of ground conditions that differ from the adjacent units, possesses an explicit topographical ͑ break line, stream, aspect, and slope ͒ and geological form. Since a clear physical relationship exists between landslides and the fundamen- tal morphological elements of a hilly or mountain region, namely, drainage and dividing lines, the slope unit technique seems most appropriate for landslide hazard assessment. The appropriate size of a slope unit should be dependant on the average size of the landslide bodies present in the study area. Since it is virtually impossible to consistently draw dividing lines on topographic maps covering large regions, an automatic computer procedure is required. In this study, a GIS-based hydrologic analysis and modeling tool has been used to divide the slope unit automatically. Using the functions of GIS spatial analysis, the following parameters or data are available with respect to each pixel or polygon ͑ the whole study area is divided into pixels or polygons ͒ : 1. Topographical parameters ͑ such as elevation, inclination, and slope ͒ with respect to each pixel; 2. Spatial distribution and size parameters of landslide ͑ suspect critical slip surface and its confines ͒ ; 3. Mechanical parameters for each pixel or polygon; and 4. Groundwater conditions. By inputting these parameters into the deterministic model of slope stability, the value of the safety factor or the probability of failure can be obtained. In almost all of the column-based 3D model, the differential method is employed to analyze the integration equation of 3D safety factor, so the GIS grid-based data can be easily managed in the column-based model. Based on Hovland’s ͑ 1977 ͒ model, a GIS grid-based 3D model, in which pore groundwater pressure is considered, and in which all input data can be easily given in a grid-based form, will be proposed in detail. The global geometry of a potentially sliding 3D mass and its 3D column view are illustrated in Fig. 1. All slope-related geological data can be illustrated as shown by the 3D view of one grid column in Fig. 2. Assuming that the vertical sides of each pixel column are frictionless ͑ no side forces on the vertical sides of the pixel columns, or with their influence cancelling out ͒ , the 3D safety factor can be expressed ...

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... This rapid urbanization or built-up growth is driven by various factors, including the increasing trend of rural outmigration, improved road connectivity, the presence of rural markets, remarkable tourism growth etc. However, the construction of buildings or infrastructures on slopes with inclinations ranging from 35 to 45 degrees often neglects essential safety considerations, leading to significant devastation during earthquakes and heavy rainfall (Xie et al., 2003). This devastation is further intensified due to the alignment of the constructed houses, causing a chain effect of damage. ...
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