Slug flow model for infiltration into fractured porous media

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A model for transient infiltration into a periodically fractured porous layer is presented. The fracture is treated as a permeable-walled slot and the moisture distribution is in the form of a slug being an advancing meniscus. The wicking of moisture from the fracture to the unsaturated porous matrix is a nonlinear diffusion process and is approximately by self-similar solutions. The resulting model is a nonlinear Volterra integral equation with a weakly singular kernel. Numerical analysis provides solutions over a wide range of the parameter space and reveals the asymptotic forms of the penetration of this slug in terms of dimensionless ... continued below

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10 p.

Creation Information

Martinez, M.J. November 10, 1999.

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This article is part of the collection entitled: Office of Scientific & Technical Information Technical Reports and was provided by UNT Libraries Government Documents Department to Digital Library, a digital repository hosted by the UNT Libraries. It has been viewed 21 times . More information about this article can be viewed below.

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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

A model for transient infiltration into a periodically fractured porous layer is presented. The fracture is treated as a permeable-walled slot and the moisture distribution is in the form of a slug being an advancing meniscus. The wicking of moisture from the fracture to the unsaturated porous matrix is a nonlinear diffusion process and is approximately by self-similar solutions. The resulting model is a nonlinear Volterra integral equation with a weakly singular kernel. Numerical analysis provides solutions over a wide range of the parameter space and reveals the asymptotic forms of the penetration of this slug in terms of dimensionless variables arising in the model. The numerical solutions corroborate asymptotic results given earlier by Nitao and Buscheck (1991), and by Martinez (1988). Some implications for the transport of liquid in fractured rock are discussed.

Physical Description

10 p.

Notes

INIS; OSTI as DE00750042

Medium: P; Size: 10 pages

Source

  • ASME 1999 International Mechanical Engineering Congress and Exhibit, Nashville, TN (US), 11/14/1999--11/19/1999

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  • Report No.: SAND--99-2947C
  • Grant Number: AC04-94AL85000
  • Office of Scientific & Technical Information Report Number: 750042
  • Archival Resource Key: ark:/67531/metadc707851

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  • November 10, 1999

Added to The UNT Digital Library

  • Sept. 12, 2015, 6:31 a.m.

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  • April 6, 2017, 7:06 p.m.

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Martinez, M.J. Slug flow model for infiltration into fractured porous media, article, November 10, 1999; Albuquerque, New Mexico. (digital.library.unt.edu/ark:/67531/metadc707851/: accessed December 17, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.