ACME 2011 Proceedings of the 19 UK National Conference of the ...

Conclusions
The paper highlights the numerical issues related to the modelling of multi-fracturing materials under
general mechanical loadings and particularly describes the numerical frameworks necessary to account
for the interaction between (fractured) solid masses and fluid/gas phases. It is emphasised that different
modelling strategies may need to be applied in order to effectively deal with specific coupling
phenomena. Examples have been presented to demonstrate the applicability of the proposed methodology.
Other application areas in which Lattice-Boltzmann approaches can also be effectively used include the
modelling of heat transfer between a moving particle system at elevated temperatures and a surrounding
pressure driven gas environment, using a double population LB formulation to describe the gas velocity
distribution and thermal energy balance (Owen et al. 2008). Additionally, an important issue in block
cave mining operations is fines migration in which fine particles that are several orders of magnitude
smaller than the main rock fragments flow through the moving particle system. In this multi-scale
problem the fines can again be modelled within a LB setting (Owen et al. 2011) using a power law fluid
or Bingham plastic formulation to describe the quasi-continuum flow involved, which is then coupled to
the DEM modelling of the larger rock fragments.
REFERENCES
1. B. Haimson and I. Song (1993), Laboratory study of borehole breakouts in cordova cream: a case of
shear failure mechanism, Int. J. Mech. Min. Sci. & Geomech. Abstr., Vol. 30, No. 7, pp. 1047-1056.
2. M. Lee and B. Haimson (1993), Laboratory study of borehole breakouts in Lac du Bonnet granite: a
case of extensile failure mechanism, Int. J. Mech. Min. Sci. & Geomech. Abstr., Vol. 30, No. 7, pp. 1039-
1045.
3. de Souza Neto, E.A., Peric, D. and Owen, D.R.J (1998), Continuum modelling and numerical
simulation of material damage at finite strains. Arch. Comput. Meth. Engng, Vol 5, pp 311-384.
4. D. B. van Dam, P. Papanastasiou and C. J. Pater (2000), Impact of rock plasticity on hydraulic fracture
propagation and closure. Paper SPE 78812 presented at the 2000 SPE Annual Technical Conference and
Exhibition, Dallas, 1-4 October 2000.
5. P. Klerck, E. J. Sellers and D. R. J. Owen (2003), Discrete fracture in quasi-brittle materials under
compressive and tensile stress states, Comp. Meth. Appl. Mech. Engng, 193, pp 3035-3056.
6. D. R. J. Owen, Y. T. Feng, E. A. de Souza Neto, F. Wang, M. G. Cottrell, F. A. Pires and J. Yu (2004),
The modelling of multi-fracturing solids and particulate media. Int. J. Num. Meth Engng, 60(1): 317-340.
7. D. R. J. Owen, Y. T. Feng, M. Labao, C. R. Leonardi, S. Y. Zhao and J. Yu (2007), Simulation of
multi-fracturing rock media including fluid/structure coupling, US-Canadian Rock Mechanics
International Conference, Vancouver, Canada, 27-31 May 2007.
8. Y. T. Feng, K. Han and D. R. J. Owen (2007), Coupled lattice Boltzmann method and discrete element
modeling of particle transport in turbulent fluid flows: Computational issues, Int. J. Num. Meth. In
Engng., Vol72, pp 1111-1134.
9. D. R. J. Owen, Y. T. Feng, K. Han and C. R. Leonardi (2008), Computational modelling of multi-field
problems involving particulate media, WCCM’08, 8 th World Congress for Computational Mechanics,
Venice, Italy, 30 th June - 4 th July, 2008.
10. D. R. J. Owen, C. R. Leonardi and Y. T. Feng (2011), An efficient framework for fluid-structure
interaction using the lattice-Boltzmann method and immersed moving boundaries, Int. J. Num. Meth
Engng, (In press).
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