Numerical modelling of internal erosion during hydrate dissociation based on multiphase mixture theory

2019 ◽  
Vol 44 (2) ◽  
pp. 327-350
Author(s):  
Toshifumi Akaki ◽  
Sayuri Kimoto
Keyword(s):  
Numerical Modelling ◽  
Mixture Theory ◽  
Internal Erosion ◽  
Hydrate Dissociation ◽  
Multiphase Mixture

scholarly journals Dam Breach Simulation with the Material Point Method

Computation ◽  
2021 ◽  
Vol 9 (2) ◽  
pp. 8
Author(s):  
Chendi Cao ◽  
Mitchell Neilsen
Keyword(s):  
Material Point Method ◽  
Mixture Theory ◽  
Material Point ◽  
Point Method ◽  
Internal Erosion ◽  
Dam Breach ◽  
New Model ◽  
Hencky Strain ◽  
The Impact ◽  
Soil And Water

Dam embankment breaches caused by overtopping or internal erosion can impact both life and property downstream. It is important to accurately predict the amount of erosion, peak discharge, and the resulting downstream flow. This paper presents a new model based on the material point method to simulate soil and water interaction and predict failure rate parameters. The model assumes that the dam consists of a homogeneous embankment constructed with cohesive soil, and water inflow is defined by a hydrograph using other readily available reach routing software. The model uses continuum mixture theory to describe each phase where each species individually obeys the conservation of mass and momentum. A two-grid material point method is used to discretize the governing equations. The Drucker–Prager plastic flow model, combined with a Hencky strain-based hyperelasticity model, is used to compute soil stress. Water is modeled as a weakly compressible fluid. Analysis of the model demonstrates the efficacy of our approach for existing examples of overtopping dam breach, dam failures, and collisions. Simulation results from our model are compared with a physical-based breach model, WinDAM C. The new model can capture water and soil interaction at a finer granularity than WinDAM C. The new model gradually removes the granular material during the breach process. The impact of material properties on the dam breach process is also analyzed.

scholarly journals Vertical flow of a multiphase mixture in a channel

2001 ◽  
Vol 6 (6) ◽  
pp. 505-526 ◽  
Author(s):  
Mehrdad Massoudi ◽  
C. Lakshmana Rao
Keyword(s):  
Volume Fraction ◽  
Constitutive Relations ◽  
Mixture Theory ◽  
Interaction Force ◽  
Solid Particles ◽  
Vertical Flow ◽  
Dimensionless Numbers ◽  
Dimensionless Velocity ◽  
Multiphase Mixture ◽  
Linear Boundary Value Problem

The flow of a multiphase mixture consisting of a viscous fluid and solid particles between two vertical plates is studied. The theory of interacting continua or mixture theory is used. Constitutive relations for the stress tensor of the granular materials and the interaction force are presented and discussed. The flow of interest is an ideal one where we assume the flow to be steady and fully developed; the mixture is flowing between two long vertical plates. The non-linear boundary value problem is solved numerically, and the results are presented for the dimensionless velocity profiles and the volume fraction as functions of various dimensionless numbers.

Hierarchical multiscale numerical modelling of internal erosion with discrete and finite elements

2020 ◽  
Vol 15 (10) ◽  
pp. 2877-2889 ◽  
Author(s):  
Pouyan Pirnia ◽  
François Duhaime ◽  
Yannic Ethier ◽  
Jean-Sébastien Dubé
Keyword(s):  
Finite Elements ◽  
Numerical Modelling ◽  
Internal Erosion ◽  
Hierarchical Multiscale
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