The Stability Analysis Method of the Cohesive Granular Slope on the Basis of Graph Theory.

Materials (Basel)

State Key Laboratory of Hydro Science and Engineering, Tsinghua University, 100084 Beijing, China.

Published: February 2017

This paper attempted to provide a method to calculate progressive failure of the cohesivefrictional granular geomaterial and the spatial distribution of the stability of the cohesive granular slope. The methodology can be divided into two parts: the characterization method of macro-contact and the analysis of the slope stability. Based on the graph theory, the vertexes, the edges and the edge sequences are abstracted out to characterize the voids, the particle contact and the macro-contact, respectively, bridging the gap between the mesoscopic and macro scales of granular materials. This paper adopts this characterization method to extract a graph from a granular slope and characterize the macro sliding surface, then the weighted graph is analyzed to calculate the slope safety factor. Each edge has three weights representing the sliding moment, the anti-sliding moment and the braking index of contact-bond, respectively, . The safety factor of the slope is calculated by presupposing a certain number of sliding routes and reducing Weight repeatedly and counting the mesoscopic failure of the edge. It is a kind of slope analysis method from mesoscopic perspective so it can present more detail of the mesoscopic property of the granular slope. In the respect of macro scale, the spatial distribution of the stability of the granular slope is in agreement with the theoretical solution.

Download full-text PDF

Source
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC5503330PMC
http://dx.doi.org/10.3390/ma10030240DOI Listing

Publication Analysis

Top Keywords

granular slope
20
slope
9
analysis method
8
cohesive granular
8
graph theory
8
spatial distribution
8
distribution stability
8
characterization method
8
safety factor
8
granular
7

Similar Publications

On a novel gradient flow structure for the aggregation equation.

Calc Var Partial Differ Equ

May 2024

Institute of Scientific Computing, Technische Universität Dresden, Zellescher Weg 12-14, 01069 Dresden, Germany.

The aggregation equation arises naturally in kinetic theory in the study of granular media, and its interpretation as a 2-Wasserstein gradient flow for the nonlocal interaction energy is well-known. Starting from the spatially homogeneous inelastic Boltzmann equation, a formal Taylor expansion reveals a link between this equation and the aggregation equation with an appropriately chosen interaction potential. Inspired by this formal link and the fact that the associated aggregation equation also dissipates the kinetic energy, we present a novel way of interpreting the aggregation equation as a gradient flow, in the sense of curves of maximal slope, of the kinetic energy, rather than the usual interaction energy, with respect to an appropriately constructed transportation metric on the space of probability measures.

View Article and Find Full Text PDF
Article Synopsis
  • Geophysical mass flows in mountain regions pose risks to health and safety, but the dynamics of granular flow, especially involving different grain types, remain poorly understood.
  • This study examined how small spherical grains, such as glass beads, affect the movement of larger stones in mixed granular flows made up of materials like quartz gravel and angular stone.
  • Findings showed that while small spherical grains generally decrease certain deposition distances for larger stones, they also increase the likelihood of extreme motion, suggesting a complex interaction that enhances mobility in granular mixtures.
View Article and Find Full Text PDF

Effects of particle elongation on dense granular flows down a rough inclined plane.

Phys Rev E

October 2024

State Key Laboratory of Hydroscience and Engineering, Department of Hydraulic Engineering, Tsinghua University, Beijing 100084, China.

Granular materials in nature are nearly always nonspherical, but particle shape effects in granular flow remain largely elusive. This study uses discrete element method simulations to investigate how elongated particle shapes affect the mobility of dense granular flows down a rough incline. For a range of systematically varied particle length-to-diameter aspect ratios (AR), we run simulations with various flow thicknesses h and slope angles θ to extract the well-known h_{stop}(θ) curves (below which the flow ceases) and the Fr-h/h_{stop} relations following Pouliquen's approach, where Fr=u/sqrt[gh] is the Froude number, u is the mean flow velocity, and g is the gravitational acceleration.

View Article and Find Full Text PDF

Analysis of nutrient balance at the watershed scale, including for phosphorus (P), is typically accomplished using aggregate input datasets, resulting in an inability to capture the variability of P status across the study region. This study presents a set of methods to predict and visualize partial P mass balance, soil P saturation ratio (PSR), and soil test P for agricultural parcels across a watershed in the Lake Champlain Basin (Vermont, USA) using granular, field-level data. K-means cluster analyses were used to group agricultural parcels by soil texture, average slope, and crop type.

View Article and Find Full Text PDF

How atmospheric deposition contribute to watershed heavy metals contamination in coastal watersheds in China: A case study of Laizhou Bay.

Sci Total Environ

December 2024

Shandong Provincial Key Laboratory of Water Pollution Control and Resource Reuse, School of Environmental Science and Engineering, Shandong University, Qingdao, Shandong 266237, China.

Article Synopsis
  • Atmospheric deposition contributes significantly to heavy metal pollution, necessitating studies on how these metals are transported and transformed within watersheds.
  • The Soil and Water Assessment Tool (SWAT) was created to track the movement of metals like Cd, Cr, Cu, Hg, Pb, and Zn from the atmosphere to the sea via rivers in East China's coastal watersheds, analyzing their dissolved, adsorbed, and granular forms.
  • Findings indicate that 5% to 69% of the heavy metal flux in rivers results from atmospheric deposition, with precipitation being the main meteorological factor influencing these loads, highlighting the importance of vegetation cover over topographic slope in managing this pollution.
View Article and Find Full Text PDF

Want AI Summaries of new PubMed Abstracts delivered to your In-box?

Enter search terms and have AI summaries delivered each week - change queries or unsubscribe any time!