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Electromagnetic excitation of particle suspensions in hydraulic fractures using a coupled lattice Boltzmann-discrete element model

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Abstract

This paper describes the development of a computational framework that can be used to describe the electromagnetic excitation of rigid, spherical particles in suspension. In this model the mechanical interaction and kinematic behaviour of the particles is modelled using the discrete element method, while the surrounding fluid mechanics is modelled using the lattice Boltzmann method. Electromagnetic effects are applied to the particles as an additional set of discrete element forces, and the implementation of these effects was validated by comparison to the theoretical equations of point charges for Coulomb’s law and the Lorentz force equation. Oscillating single and multiple particle tests are used to investigate the sensitivity of particle excitation to variations in particle charge, field strength, and frequency. The further capabilities of the model are then demonstrated by a numerical illustration, in which a hydraulic fracture fluid is excited and monitored within a hydraulic fracture. This modelling explores the feasibility of using particle vibrations within the fracture fluid to aid in the monitoring of fracture propagation in unconventional gas reservoirs.

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Acknowledgments

Aspects of the hydrodynamic coupling of the LBM and DEM were presented in part at the 6th International Conference on Discrete Element Methods (DEM6) in 2013. This work was supported in part by the MITei-Saudi Aramco Seed Fund Scheme and this is gratefully acknowledged by the authors

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Authors and Affiliations

  1. School of Mechanical and Mining Engineering, The University of Queensland, Cooper Rd., St Lucia, QLD, 4072, Australia

    Christopher R. Leonardi & Jon W. S. McCullough

  2. Department of Civil and Environmental Engineering, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, MA, 02139, USA

    Christopher R. Leonardi, Bruce D. Jones & John R. Williams

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  1. Christopher R. Leonardi
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  2. Jon W. S. McCullough
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  3. Bruce D. Jones
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  4. John R. Williams
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Correspondence to Christopher R. Leonardi.

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Leonardi, C.R., McCullough, J.W.S., Jones, B.D. et al. Electromagnetic excitation of particle suspensions in hydraulic fractures using a coupled lattice Boltzmann-discrete element model. Comp. Part. Mech. 3, 125–140 (2016). https://doi.org/10.1007/s40571-015-0035-x

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  • DOI: https://doi.org/10.1007/s40571-015-0035-x

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