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A mathematical approach to calculating slope stability under physical triggering forces. Application to landscape mechanics

Khaber Larbi, Zighmi Karim, Hadji Riheb

Geomatics, Landmanagement and Landscape

2023

no. 4

97--112

In the field of land management, the limit equilibrium calculation method is a mathematical method that harmonizes the complex interplay of diverse factors determining the slope stability. Rooted in mechanical and mathematical principles, this method has paramount significance for guiding the course of safe land management in mountainous regions, especially in the case of infrastructure development projects. Conventional limit equilibrium techniques, while providing preliminary stability assessments, often neglect key factors that can trigger slope failure. These approaches traditionally ignore the spatial variations in soil properties, the temporal dynamics of phenomena, the kinetic responses to external loads, the complexities of geological formations, and the influences of the hydrological and climatic conditions on slope stability. Our innovative method adopts an enriched mathematical framework that redefines the landscape of force equilibrium techniques. We meticulously tailor this framework by adapting the foundational relationships derived from the Mohr-Coulomb shear strength criterion to accommodate the spatially variable geomechanical parameters. This adaptation allows us to capture the nuanced shifts in mechanical properties over the extent of the slope. Furthermore, we introduce supplementary equations that seamlessly integrate the influences of traffic-induced loads and hydraulic pressures, while also statistically quantifying the contributions of stabilizing structures. To determine the efficacy of this geomatic and landscape-centric numerical tool, we have subjected it to rigorous testing on a test slope. The outcomes derived from our mathematical model reveal the primacy of traffic-related forces as the main destabilizing agents, contrasted with the strengthening effects of reinforcements in maintaining slope stability.

Application of geomatic tools for the diachronic monitoring of landscape metrics in the northeastern algerian highlands, case of the city of Setif

Kraria Hocine, Zighmi Karim, Chibani Abdelmouhcene

Geomatics, Landmanagement and Landscape

2022

no. 4

67--79

Geomatic tools could be used efficiently for urban development planning. The problem of the study lies in the extensive land use of terrains that are now suitable for heavy construction which slows down the development of new facilities. Furthermore, the authorities are forced to plan future settlements around Setif, at a distance of 8 to 12 kilometers from the city limits, threatening the long-term viability of construction and the ring of farmland that connects them to the core city. This must be done during the planning stage based on a diachronic analysis of all the natural and physical factors/parameters. The main objective of this research is to explore the application of landscape metrics to the analysis and monitoring of urban growth in the city of Setif, north-east of Algeria. For this purpose, our research paper uses Geographic Information System (GIS) and Remote Sensing (RS) techniques based on Principal Component Analysis (PCA) and the Angle Mapper Algorithm (SAM) target method for the analysis of urban land planning and sustainable urban planning of Setif. In the result of these analyses we propose suitability/buildability maps with more suitable construction sites. The research method is based on a 17-year time series dataset compiled from the Sentinel 2A and Landsat imagery between 2004 and 2021. Additionally, we used a cadastral Vs geotechnical overlay to estimate soil capacity. This work proves again that the integration of RS and GIS techniques allows for scientific identification of the lands suitable for urban development (LAUP).