قارن الطرق

	تحليل استقرار المنحدرات بالإسقاط المجسم	معيار هوك-براون للانهيار	تحسين تخطيط الفراغات المنجمية
المجال	هندسة التعدين	هندسة التعدين	هندسة التعدين
العائلة	Process / pipeline	Process / pipeline	Process / pipeline
سنة النشأة	1960	1980	1960
صاحب الطريقة	Structural Geology and Rock Mechanics Practice	Evert Hoek and E. T. Brown	Mining Engineering Practice
النوع	Graphical method for analyzing slope stability with respect to jointing	Empirical criterion for rock mass strength prediction	Optimization framework for underground mine excavation design
المصدر التأسيسي	Priest, S. D. (1985). Hemispherical projection methods in rock mechanics. In Society for Mining, Metallurgy & Exploration, Technical Library.	Hoek, E., & Brown, E. T. (2002). The Hoek-Brown failure criterion and GSI: 2018 update. Journal of Rock Mechanics and Geotechnical Engineering, 10(2), 445-463.	Brady, B. H. G., & Brown, E. T. (2004). Rock mechanics for underground mining. Springer Science+Business Media.
الأسماء البديلة	Stereonet Analysis, Stereographic Projection, Pole Plot Analysis	Generalized Hoek-Brown Criterion, HB Criterion	Stope Design, Underground Mine Layout, Panel Design
ذات صلة	3	3	3
الملخص	Stereographic projection is a graphical method for analyzing slope stability by representing the three-dimensional orientation of discontinuities (joints, bedding, faults) and the pit slope on a two-dimensional stereographic net (stereonet). The method enables rapid visual identification of potentially unstable slope geometries where discontinuities daylight out of the slope at steeper angles than the slope face.	The Hoek-Brown Criterion, developed by Evert Hoek and E. T. Brown starting in 1980, is an empirical failure criterion that predicts the shear strength of rock masses as a function of confining pressure. It accounts for rock quality (via the Geological Strength Index, GSI) and thus bridges laboratory rock mechanics and field behavior. The criterion is widely used in mining for slope stability, pillar design, and stress analysis.	Stope layout optimization is the process of designing the size, shape, and spatial arrangement of underground mine excavations (stopes) to maximize ore recovery while maintaining safety and economic viability. It balances the desire for large extraction volumes against rock mechanics constraints and support costs. The layout determines mining productivity, capital investment in support systems, and long-term mine life.