A modified invasion percolation model for low-capillary number immiscible displacements in horizontal rough-walled fractures: Influence of local in-plane

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The authors develop and evaluate a modified invasion percolation (MIP) model for quasi-static immiscible displacement in horizontal fractures. The effects of contact angle, local aperture field geometry, and local in-plane interracial curvature between phases are included in the calculation of invasion pressure for individual sites in a discretized aperture field. This pressure controls the choice of which site is invaded during the displacement process and hence the growth of phase saturation structure within the fracture. To focus on the influence of local in-plane curvature on phase invasion structure, they formulate a simplified nondimensional pressure equation containing a dimensionless curvature number ... continued below

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20 p.

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GLASS JR.,ROBERT J.; NICHOLL,MICHAEL J. & YARRINGTON,LANE January 28, 2000.

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  • Sandia National Laboratories
    Publisher Info: Sandia National Labs., Albuquerque, NM, and Livermore, CA (United States)
    Place of Publication: Albuquerque, New Mexico

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Description

The authors develop and evaluate a modified invasion percolation (MIP) model for quasi-static immiscible displacement in horizontal fractures. The effects of contact angle, local aperture field geometry, and local in-plane interracial curvature between phases are included in the calculation of invasion pressure for individual sites in a discretized aperture field. This pressure controls the choice of which site is invaded during the displacement process and hence the growth of phase saturation structure within the fracture. To focus on the influence of local in-plane curvature on phase invasion structure, they formulate a simplified nondimensional pressure equation containing a dimensionless curvature number (C) that weighs the relative importance of in-plane curvature and aperture-induced curvature. Through systematic variation of C, they find in-plane interracial curvature to greatly affect the phase invasion structure. As C is increased from zero, phase invasion fronts transition from highly complicated (IP results) to microscopically smooth. In addition, measurements of fracture phase saturations and entrapped cluster statistics (number, maximum size, structural complication) show differential response between wetting and nonwetting invasion with respect to C that is independent of contact angle hysteresis. Comparison to experimental data available at this time substantiates predicted behavior.

Physical Description

20 p.

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OSTI as DE00751221

Medium: P; Size: 20 pages

Source

  • Journal Name: Water Resources Research; Journal Volume: 34; Journal Issue: 12; Other Information: Submitted to Water Resources Research; Volume 34: No.12, 3215-3234(28 Jan 2000)

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  • Report No.: SAND2000-0274J
  • Grant Number: AC04-94AL85000
  • Office of Scientific & Technical Information Report Number: 751221
  • Archival Resource Key: ark:/67531/metadc711977

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  • January 28, 2000

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  • Sept. 12, 2015, 6:31 a.m.

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  • April 7, 2017, 7:16 p.m.

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GLASS JR.,ROBERT J.; NICHOLL,MICHAEL J. & YARRINGTON,LANE. A modified invasion percolation model for low-capillary number immiscible displacements in horizontal rough-walled fractures: Influence of local in-plane, article, January 28, 2000; Albuquerque, New Mexico. (digital.library.unt.edu/ark:/67531/metadc711977/: accessed September 22, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.