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

• Autorzy: Khaber Larbi , Zighmi Karim , Hadji Riheb

Identyfikatory

DOI

10.15576/GLL/2023.4.97

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

limit equilibrium ealculation; slope stability analysis; geomechanical properties; mathematical framework; infrastructure development

PL

obliczanie równowagi granicznej; analiza stabilności zbocza; struktura matematyczna; właściwości geomechaniczne; rozwój infrastruktury

• Wydawca: Wydawnictwo Uniwersytetu Rolniczego w Krakowie
• Czasopismo: Geomatics, Landmanagement and Landscape
• Rocznik: 2023
• Tom: no. 4
• Strony: 97--112
• Opis fizyczny: Bibliogr. 23 poz., rys.,

Twórcy

autor

Khaber Larbi

• University of Farhat Abbas Department of Earth Sciences Institute of Architecture and Earth Sciences, Algeria

autor

Zighmi Karim

• University of Farhat Abbas, Algeria Laboratory of Applied Research in Engineering Geology, Geotechnics, Water Sciences, and Environment Department of Earth Sciences Institute of Architecture and Earth Sciences

autor

Hadji Riheb

• University of Farhat Abbas, Algeria Laboratory of Applied Research in Engineering Geology, Geotechnics, Water Sciences, and Environment Department of Earth Sciences Institute of Architecture and Earth Sciences

Bibliografia

• Anis Z., Wissem G., Riheb H., Biswajeet P., Essghaier G.M. 2019. Effects of clay properties in the landslides genesis in flysch massif: Case study of Aïn Draham, North Western Tunisia. Journal of African Earth Sciences, 151, 146–152.
• Bishop A.W. 1955. The use of the slip circle in the stability analysis of slopes. Geotechnique, 5(1), 7–17.
• Boubazine L., Boumazbeur A., Hadji R., Fares K. 2022. Slope failure characterization: A joint multi-geophysical and geotechnical analysis. Case study of Babor Mountains range, NE Algeria. Mining of Mineral Deposits, 16(4).
• Brahmi S., Baali F., Hadji R., Brahmi S., Hamad A., Rahal O., ... Hamed Y. 2021. Assessment of groundwater and soil pollution by leachate using electrical resistivity and induced polarization imaging survey. Case of Tebessa municipal landfill, NE Algeria. Arabian Journal of Geosciences, 14, 1–13.
• Charles J.A., Soares M.M. 1984. The stability of slopes in soils with nonlinear failure envelopes. Canadian Geotechnical Journal, 21(3), 397–406.
• Dahoua L., Usychenko O., Savenko V.Y., Hadji R. 2018. Mathematical approach for estimating the stability of geotextile-reinforced embankments during an earthquake. Mining Science, 25, 207–217.
• Dahoua L., Yakovitch S.V., Hadji R.H. 2017. GIS-based technic for roadside-slope stability assessment: An bivariate approach for A1 East-West highway, North Algeria. Mining Science, 24.
• Fredj M., Hafsaoui A., Riheb H., Boukarm R., Saadoun A. 2020. Back-analysis study on slope instability in an open pit mine (Algeria). Natsional’nyi Hirnychyi Universytet. Naukovyi Visnyk, (2), 24–29.
• Hadji R., Boumazbeur A., Limani Y., Baghem M., Chouabi A. 2013. Geologic, topographic and climatic controls in landslide hazard assessment using GIS modeling: A case study of Souk Ahras region, NE Algeria. Quaternary International, 302, 224–237.
• Hadji R., Chouabi A., Gadri L., Raïs K., Hamed Y., Boumazbeur A. 2016. Application of linear indexing model and GIS techniques for the slope movement susceptibility modeling in Bousselam upstream basin, Northeast Algeria. Arabian Journal of Geosciences, 9, 192.
• Hadji R., Rais K., Gadri L., Chouabi A., Hamed Y. 2017. Slope failure characteristics and slope movement susceptibility assessment using GIS in a medium scale: A case study from Ouled Driss and Machroha municipalities, Northeast Algeria. Arabian Journal for Science and Engineering, 42(1), 281–300.
• Kallel A., Ksibi M., Dhia H.B., Khélifi N. (eds.). 2018. Recent advances in environmental science from the Euro-Mediterranean and surrounding regions. Proceedings of Euro-Mediterranean Conference for Environmental Integration (EMCEI-1), Tunisia 2017. Springer International Publishing.
• Karim Z., Hadji R., Hamed Y. 2019. GIS-based approaches for the landslide susceptibility prediction in Setif Region (NE Algeria). Geotechnical and Geological Engineering, 37(1), 359–374.
• Kerbati N.R., Gadri L., Hadji R., Hamad A., Boukelloul M.L. 2020. Graphical and numerical methods for stability analysis in surrounding rock of underground excavations. Example of Boukhadra Iron Mine NE Algeria. Geotechnical and Geological Engineering, 38, 2725–2733.
• Mahleb A., Hadji R., Zahri F., Boudjellal R., Chibani A., Hamed Y. 2022. Water-Borne Erosion Estimation Using the Revised Universal Soil Loss Equation (RUSLE) Model Over a Semiarid Watershed: Case Study of Meskiana Catchment, Algerian-Tunisian Border. Geotechnical and Geological Engineering, 40(8), 4217–4230.
• Manchar N., Benabbas C., Hadji R., Bouaicha F., Grecu F. 2018. Landslide Susceptibility Assessment in Constantine Region (NE Algeria) by Means of Statistical Models. Studia Geotechnica et Mechanica, 40(3), 208–219.
• Mestat P. 1998. Du bon usage de l’élasticité dans les calculs de géotechnique. La pratique des calculs tridimensionnels en géotechnique. Presses de l’école nationale des Ponts et chaussées. Eds. J.P. Magnan, A. Guilloux, P. Mestat, 241, 256.
• Morgenstern N.U., Price V.E. 1965. The analysis of the stability of general slip surfaces. Geotechnique, 15(1), 79–93.
• Ncibi K., Hadji R., Hajji S., Besser H., Hajlaoui H., Hamad A., ... Hamed Y. 2021. Spatial variation of groundwater vulnerability to nitrate pollution under excessive fertilization using index overlay method in central Tunisia (Sidi Bouzid basin). Irrigation and Drainage, 70(5), 1209–1226.
• Saadoun A., Yilmaz I., Hafsaoui A., Hadji R., Fredj M., Boukarm R., Nakache R. 2020. Slope stability study in quarries by different approaches: Case Chouf Amar Quarry, Algeria. IOP Conference Series: Materials Science and Engineering, 960, 4, 042026. IOP Publishing.
• Terzaghi K., Peck R.B. 1967. Soil mechanics in engineering practice. No. 624.151 T47 1967.
• Zahri F., Boukelloul M.L., Hadji R., Talhi K. 2016. Slope stability analysis in open pit mines of Jebel Gustar career, NE Algeria. A multi-steps approach. Mining Science, 23.
• Zeqiri R.R., Riheb H., Karim Z., Younes G., Rania B., Aniss M. 2019. Analysis of safety factor of security plates in the mine ‘Trepça’ Stantërg. Mining Science, 26, 21.

Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2024).