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  • 1
    Electronic Resource
    Electronic Resource
    The statistical properties of immiscible fluid displacement in bond/site correlated network models of porous media (1991)
    Springer
    Mathematical geology 23 (1991), S. 87-110 
    Details
    ISSN: 1573-8868
    Keywords: percolation ; lattice statistics ; permeability ; immiscible fluid flow
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Mathematics
    Notes: Abstract A statistical formulation is introduced which allows the determination of capillary pressure and relative permeability curves from lattice properties and, by extension, possibly core properties. Comparisons of statistical results to simulation results generally show good agreement for both drainage and imbibition. These processes turn out to be two different formulations of a single problem in one view presented here. Both agreement and disagreement between statistics and simulation results provide insight into the characteristics of the flow of immiscible fluids in porous media. A considerable amount of topological information on the fluids is also obtainable by these methods.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02065969
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  • 2
    Electronic Resource
    Electronic Resource
    Fluid topology for invasion percolation in 3-D lattices (1993)
    Springer
    Transport in porous media 10 (1993), S. 221-234 
    Details
    ISSN: 1573-1634
    Keywords: Two-phase flow ; percolation ; fluid topology
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Technology
    Notes: Abstract A computer algorithm for the displacement of one fluid by another in three-dimensional pore-throat network models of porous media allows the determination of fluid characteristics and distributions at any point in the displacement process. The flowing fluids are found to form two closely intertwined networks with very few regions of space containing only one fluid. Further, the fraction of dead-end invader, i.e. the ratio of the fraction of nonflowing to flowing pores is essentially constant throughout a process. The dendritic character of trapped, i.e. disconnected fluid is dependent on the degree of pore-throat correlation in the network. As a result, a given pore filled with one of the fluids is likely to have at least one neighbor filled with another fluid. Our observations imply that (1) fillable pores are very likely to be filled, and (2) clusters are not compact. The latter provides a ready explanation for the ease with which so-called oil ganglia are broken up rather than moved.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00616810
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  • 3
    Electronic Resource
    Electronic Resource
    A lattice model of foam flow in porous media: A percolation approach (1993)
    Springer
    Transport in porous media 11 (1993), S. 139-159 
    Details
    ISSN: 1573-1634
    Keywords: Foam flow ; Percolation ; Mobility
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Technology
    Notes: Abstract Because fluid flow in porous media is opaque to most observational techniques simulations of the processes occurring in porous media have become important. Typical reservoir simulations treat the flow as taking place in some averaged (Darcy-scale) medium but simulations can also be carried out at the level of the network of pores and throats of the porous medium. We report the results of a pore-scale investigation of mechanisms for the alteration of mobility by foam lamella blockage in a network of these spaces and channels of porous media. Saturation and relative permeability curves are obtained using well-known power-law expressions of percolation theory and a rescaling of the percolation parameter readily permits a number of lamella-blocking mechanisms to be treated. An explanation of the shift in breakthrough gas saturation and the deformation of the shape of permeabilityvs saturation curves upon introduction of foam is provided for a variety of blocking mechanisms. The qualitatively different features seen in experimental studies of modification of gas mobility by foam can be rationalized using only two parameters which characterize the throat-size at which blockage commences and the degree of blockage.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01059631
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  • 4
    Electronic Resource
    Electronic Resource
    Fluid percolation in bond-site size-correlated three-dimensional networks (1990)
    Springer
    Transport in porous media 5 (1990), S. 421-428 
    Details
    ISSN: 1573-1634
    Keywords: Fluid percolation ; bond problem ; bond-site correlated network ; percolation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Technology
    Notes: Abstract A treatment of sites appropriate to fluid percolation in bond controlled processes results in sensitivity of breakup of the defender to the degree of size-correlation for three-dimensional networks. In strongly correlated lattices network control of invasion yields to a statistical treatment as a result of improved accessibility.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01141994
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  • 5
    Electronic Resource
    Electronic Resource
    Fractal patterns of fluid domains for displacement processes in porous media (1988)
    Springer
    Journal of statistical physics 53 (1988), S. 713-731 
    Details
    ISSN: 1572-9613
    Keywords: Percolation ; fractal ; porous ; oil recovery ; reservoir flooding
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Percolation invasion displacement of a compressible defender is examined for two cases: when only the smallest accessible site is entered at each step and when all accessible sites less than the size given by a reducing back pressure are entered at each time step. Although the fractions of invading fluid are different, their scaling properties are equivalent. The effect of limited control of a back pressure in a real displacement and the effect of viscosity in a real time displacement are examined. In these cases the scaling properties of a percolation process at breakthrough are removed. As a result, one should expect that realistic displacement models will not have the singular properties usually attributed to percolation processes.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01014222
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