Percolation in a fractional Brownian motion lattice

Du, Changan; Satik, Cengiz; Yortsos, Y.C.

doi:10.1002/aic.690420831

Cited by 53 publications

(28 citation statements)

References 24 publications

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“…Comparison of our results with Table 1 from Du et al [11] shows an interpretation equivalent to p eith c or R 0 . Similarly, a comparison with Fig.…”

Section: Discussionsupporting

confidence: 79%

“…Like Du et al [11] and Schmittbuhl et al [10], we elected to use the midpoint method for its computational speed and the ability to perform large numbers of realizations and obtain good statistics. Some comparisons were performed with the three methods on smaller lattices: while the numerical results had di erences, the qualitative behavior was the same.…”

Section: Fractional Brownian Motionmentioning

confidence: 99%

“…Examination of their results shows that they used the R 0 interpretation for the percolation threshold. Hence Du et al [11] and Schmittbuhl et al [10] obtain contrasting values, which can be explained when the various spanning rules are considered.…”

Section: Introductionmentioning

confidence: 99%

“…Percolation thresholds have also been estimated by Du et al [11] using a mid-point displacement algorithm to generate approximate fractional Brownian motion. Examination of their results shows that they used the R 0 interpretation for the percolation threshold.…”

Section: Introductionmentioning

confidence: 99%

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“…Comparison of our results with Table 1 from Du et al [11] shows an interpretation equivalent to p eith c or R 0 . Similarly, a comparison with Fig.…”

Section: Discussionsupporting

confidence: 79%

Section: Fractional Brownian Motionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Definition of percolation thresholds on self-affine surfaces

Marrink

Paterson

Knackstedt

2000

Physica A: Statistical Mechanics and its Applications

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“…The effects shown in Figure 9 reflect the increased contrast in flow rates, hence in the convected flux of the gas oxidant, among the various pores. Subsequently, the effect of spatial correlations was investigated, by taking a pore -size distribution obeying fBm statistics (Du et al, 1996). These statistics reflect long-range correlations and, for the specific problem considered here, correspond to a correlation length equal to the network size.…”

mentioning

confidence: 99%

Investigation of Multiscale and Multiphase Flow, Transport and Reaction in Heavy Oil Recovery Processes

Yorstos¹

2002

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This is final report for contract DE-AC26-99BC15211. The report describes progress made in the various thrust areas of the project, which include internal drives for oil recovery, vapor-liquid flows, comb ustion and reaction processes and the flow of fluids with yield stress. The report consists mainly of a compilation of various topical reports, technical papers and research reports published produced during the three-year project, which ended on May 6, 2002 and was no-cost extended to January 5, 2003. Advances in multiple processes and at various scales are described.In the area of internal drives, significant research accomplishments were made in the modeling of gas-phase growth driven by mass transfer, as in solution-gas drive, and by heat transfer, as in internal steam drives. In the area of vapor-liquid flows, we studied various aspects of concurrent and countercurrent flows, including stability analyses of vapor-liquid counterflow, and the development of novel methods for the pore-network modeling of the mobilization of trapped phases and liquid-vapor phase changes. In the area of combustion, we developed new methods for the modeling of these processes at the continuum and pore-network scales. These models allow us to understand a number of important aspects of in-situ combustion, including steady-state front propagation, multiple steady-states, effects of heterogeneity and modes of combustion (forward or reverse). Additional aspects of reactive transport in porous media were also studied.Finally, significant advances were made in the flow and displacement of non-Newtonian fluids with Bingham plastic rheology, which is characteristic of various heavy oil processes. Various accomplishments in generic displacements in porous media and corresponding effects of reservoir heterogeneity are also cited.A total of 44 publications in refereed journals and/or in scientific conferences resulted from this project. In addition, several papers are under preparation at the time of the writing of this report. The support provided by the contract also allowed the completion of 6 PhD Theses, with two more under way. This research output would have been impossible without this support, for which the PI and the students are grateful. vii EXECUTIVE SUMMARYThis is the final report of an investigation on the various multi-phase and multiscale transport and reaction processes associated with heavy oil recovery. As we reported in detail in three previous annual reports, the thrust areas in this study include the following:Internal drives, vapor-liquid flows, combustion and reaction processes, fluid displacements, the effect of instabilities and heterogeneities, and the flow of fluids with yield stress. These find respective applications to: foamy oils, the evolution of dissolved gas, internal steam drives, the mechanics of concurrent and countercurrent vapor-liquid flows, associated with thermal methods and steam injection, such as SAGD, the in-situ combustion, the upscaling of displacements in heterogeneous media, the fl...

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Invasion Percolation

Knackstedt¹,

Paterson²

2009

Encyclopedia of Complexity and Systems Science

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Percolation in a fractional Brownian motion lattice

Cited by 53 publications

References 24 publications

Definition of percolation thresholds on self-affine surfaces

Definition of percolation thresholds on self-affine surfaces

Investigation of Multiscale and Multiphase Flow, Transport and Reaction in Heavy Oil Recovery Processes

Invasion Percolation

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