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Comparison of fast algorithms for estimating large-scale permeabilities of heterogeneous media (1995)

McCarthy, J. F.

Springer

Transport in porous media 19 (1995), S. 123-137

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ISSN: 1573-1634

Keywords: Effective permeability ; heterogeneity ; renormalisation group method ; random walks

Source: Springer Online Journal Archives 1860-2000

Topics: Geosciences , Technology

Notes: Abstract The problem of upscaling permeability data from the core to the reservoir grid block scale for input into flow simulators is addressed. Two fast, approximate algorithms which have been suggested for this purpose—one based on random walks and the other on real-space renormalisation group methods—are compared using the results of numerical tests performed on 30 different heterogeneous permeability realisations in 3-D. The results show that random walks outperform renormalisation for this problem, being computationally more efficient and demonstrating significantly better accuracy for particular cases.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF00626662

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A statistical mechanical model of solidification (1995)

Yang, Y. S. ; Blake, N. ; Abbott, T. B. ; [et al.]

Chichester : Wiley-Blackwell

Communications in Numerical Methods in Engineering 11 (1995), S. 805-812

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ISSN: 1069-8299

Keywords: solidification ; dendritic growth ; probabilistic modelling ; Engineering ; Engineering General

Source: Wiley InterScience Backfile Collection 1832-2000

Topics: Mathematics , Technology

Notes: A model of solidification is developed from a statistical mechanics basis that incorporates nucleation of columnar and equiaxed grains, thermal and solute diffusion, and latent heat of the phase change. The model is applied to the solidification of austenitic steel. The dendritic growth of columnar and equiaxed grains is simulated, including the segregation of solute ahead of the solid-liquid interface. The irregular branched morphology of the solid forms in a manner analogous to dendritic morphologies that arise from constitutional undercooling in real materials. There is competition between columnar and equiaxed growth. When growing grains approach, the solute layer and the thermal field act to prevent them overlapping.

Additional Material: 5 Ill.