Bases for reliability analysis of disrupted materials flows
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Universidad Industrial de Santander
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Como una forma alternativa a los métodos convencionales para realizar análisis de estabilidad de taludes usando la teoría de equilibrio límite, este artículo hace uso de un procedimiento para simular fujos de material desagregado que parte desde la mecánica de medios continuos (perspectiva Euleriana), conservación de masa y momentum. Ésta metodología supone el comportamiento de una mezcla de fuido Newtoniano y sólido cuya interacción friccional es representada por la ley de resistencia de Coulomb. La ecuación de momentum es simplifcada para un caso idealizado de forma tal que permite generar una solución analítica de la velocidad y el desplazamiento del centro de masa. Este tipo de aproximaciones permite tener en cuenta el modo de deformación que se observa en campo en los deslizamientos superfciales, a diferencia de los métodos convencionales basado en equilibrio límite (dovelas – talud infnito), donde la suposición es de movimiento de cuerpo rígido. La solución analítica entrega las bases para ser usada como insumo para estimar el nivel de exposición a través la forma como varía la probabilidad de ocurrencia de un nivel de velocidad del fujo de material desagregado en función de la distancia de la fuente del material.
As an alternative to conventional methods for slope stability analysis using limit equilibrium theory, this paper uses a method to simulate material flows disrupted arising from the continuum mechanics (Eulerian perspective),conservation mass and momentum, proposed by Iverson and Denlinger (2001a). This procedure involves the behavior of a mixture of solid and Newtonian fluid whose interaction is represented by frictional resistance law of Coulomb. The momentum equation is simplified for an idealized case in order to obtain an analytical solution to generate the velocity and displacement of the center of mass. This type of approach allows taking into account the mode of deformation observed in field, unlike conventional methods based on equilibrium limit (slices – infinite slope), where the assumption is rigid body motion. The analytical solution is used as the basis for estimate the exposure of infrastructure within the framework of analysis based on reliability. The results show how varies the conditional probability of occurrence of a velocity depending on the distance of the source material.
As an alternative to conventional methods for slope stability analysis using limit equilibrium theory, this paper uses a method to simulate material flows disrupted arising from the continuum mechanics (Eulerian perspective),conservation mass and momentum, proposed by Iverson and Denlinger (2001a). This procedure involves the behavior of a mixture of solid and Newtonian fluid whose interaction is represented by frictional resistance law of Coulomb. The momentum equation is simplified for an idealized case in order to obtain an analytical solution to generate the velocity and displacement of the center of mass. This type of approach allows taking into account the mode of deformation observed in field, unlike conventional methods based on equilibrium limit (slices – infinite slope), where the assumption is rigid body motion. The analytical solution is used as the basis for estimate the exposure of infrastructure within the framework of analysis based on reliability. The results show how varies the conditional probability of occurrence of a velocity depending on the distance of the source material.
Keywords
slope stability, disrupted material flows, reliability analysis, estabilidad de taludes, flujos de material desagregado, análisis de confiabilidad