Direct numerical simulation of proppant transport in a narrow channel for hydraulic fracturing application

Conference paper (2017)

Authors

R.V. Maitri Eindhoven University of Technology
I. Koimtzoglou Eindhoven University of Technology
S. Das Eindhoven University of Technology
J. A.M. Kuipers Eindhoven University of Technology
J.T. Padding Intensified Reaction and Separation Systems - Mechanical, Maritime and Materials Engineering
E. A.J.F. Peters Eindhoven University of Technology
Research Group
Intensified Reaction and Separation Systems (Mechanical, Maritime and Materials Engineering) (TU Delft)
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Published Date

2017

Language

English

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Faculty

Mechanical, Maritime and Materials Engineering

Department

Process and Energy

Research Group

Intensified Reaction and Separation Systems

Abstract

An efficient and accurate model for the direct numerical simulations (DNS) of liquid-solid flows is presented in this work. In this numerical model, fluid-solid coupling is achieved by implementing the no-slip boundary condition at the particles’ surfaces by using a second order ghost-cell immersed boundary method, allowing for a fixed Cartesian grid to be used for solving the fluid equations. The particle-particle and particle-wall interactions are implemented using the soft sphere collision model. Lubrication forces are included through a sub-grid scale model because of its range of influence on a scale smaller than the grid size.
After the validation of the model, the transport of solid particles in a narrow channel is simulated to mimic the proppant transport in rock fractures in fracking process. The simulations are performed for solids volume fractions ranging from 1.7 to 20 % with the range of Reynolds and Archimedes number: 100-400 and 0-7848, respectively.

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