Abstract
Co-and counter-current type transfers due to diffusion and -free- convection caused by the buoyant forces between fracture and matrix were studied experimentally using 2-D glass-bead models. Mineral oil and kerosene were used as the displaced phase. The model saturated with oil was exposed to solvent phase (pentane) under static conditions (no flow in fracture) to mimic matrix-fracture interaction during gas or liquid solvent injection in naturally fractured reservoirs. Displacement fronts and patterns were analyzed and quantified using fractal techniques to obtain correlations between the fractal properties and displacement type. Displacements resulted in a mixture of bulk diffusion and -free- convection mainly depending on the interaction type (co- or counter-current), oil type, and displacement direction (horizontal and vertical). Conditions yielding different types of displacement patterns were identified. Finally, a stochastic model that was inspired from invasion percolation and diffusion limited aggregation algorithms was developed for the horizontal displacement cases. The experimental observations were matched to the displacement patterns obtained through the stochastic modeling.
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Birovljev, A. et al.: Gravity invasion percolation in two dimensions: experiment and simulation. Phys. Rev. Lett. 67(5), 584–587 (1991)
Ferer, M., Bromhal, G.S., Smith, D.H.: Pore-level modeling of immiscible drainage: validation in the invasion percolation and DLA limits. Phys. Rev. E 67, 051601 (2003)
Fernandez, J.F., Rangel, R., Rivero, J.: Crossover length from invasion percolation to diffusion-limited aggregation in porous media. Phys. Rev. Lett. 67(21), 2958–2961 (1991)
Hatiboglu, C.U., Babadagli, T.: Experimental analysis of primary and secondary oil recovery from matrix by counter-current diffusion and spontaneous imbibition. SPE 90312, 2004 SPE Annual Tech. Conf. and Exh., Houston, TX, 26–29 Sept (2004)
Hatiboglu, C.U., Babadagli, T.: Visualization studies on matrix-fracture transfer due to diffusion. Paper 2005-077, Canadian Int. Petr. Conf., Calgary, Alberta, Canada, June 7–9 (2005)
Hatiboglu, C.U., Babadagli, T.: Lattice-Boltzmann simulation of solvent diffusion into oil saturated porous media. Phys. Rev. E, in print (2007)
Havlin, S., Bunde, A.: Fractals and Disordered Systems. Springer, p. 118 (1999)
Imhoff, P.T., Green, T.: Experimental investigation of double-diffusive groundwater fingers. J. Fluid Mech. 188, 363–382 (1988)
Karperien, A., FracLac, Charles Sturt University, Australia, http://www.athene.riv.csu.edu.au/~akarpe01/box.html, March (2005)
Lenormand, R.: Flow through porous media: limits of fractal patterns. Proc. R. Soc. Lond. A 423, 159–168 (1989)
Lenormand, R.: Liquids in porous media. J. Phys. Condens. Matter 2, SA79–SA88 (1990)
Olayinka, S., Ionnidis, M.A.: Time dependent diffusion and surface-enhanced relaxation in stochastic replicas of porous rock. Transp. Porous Media 54, 273–295 (2004)
Pringle, E.S., Glass, R.J., Cooper, C.: Double-diffusive finger convection in a Hele–Shaw cell: an experiment exploring the evolution of concentration fields, length scales and mass transfer. Transp Porous Media 47, 195–214 (2002)
Rasband, W.S.: ImageJ, U.S.: National Institutes of Health, Bethesda, Maryland, USA, http://www.rsb.info.nih.gov/ij/, 1997–2005
Wagner, G., Meakin, P., Feder, J., Jossang, T.: Invasion percolation in fractal fractures. Physica A 264, 321–337 (1999)
Wardlaw, N.C., Stein, G., Mckellar, M.: Countercurrent imbibition in glass cells of variable roughness. In Situ 17(3), 311–329 (1993)
Wen, Y., Bryan, J., Kantzas, A.: Estimation of diffusion coefficients in bitumen solvent mixtures as derived from low field NMR spectra. JCPT 44(4), 29–34 (2005)
Wilkinson, D.: Percolation model of immiscible displacement in the presence of buoyancy forces. Phys. Rev. A 30(1), 520–531 (1984)
Xu, B., Yortsos, Y.C., Salin, D.: Invasion percolation with viscous forces. Phys. Rev. E 57(1), 739–751 (1998)
Yortsos, Y.C., Xu, B.: Phase diagram of fully developed drainage in porous media. Phys. Rev. Lett. 79(23), 4581–4584 (1997)
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Hatiboglu, C.U., Babadagli, T. Diffusion Mass Transfer in Miscible Oil Recovery: Visual Experiments and Simulation. Transp Porous Med 74, 169–184 (2008). https://doi.org/10.1007/s11242-007-9189-1
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DOI: https://doi.org/10.1007/s11242-007-9189-1