Approximating the imbibition and absorption behavior of a distribution of matrix blocks by an equivalent spherical block

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A theoretical study is presented of the effect of matrix block shape and matrix block size distribution on liquid imbibition and solute absorption in a fractured rock mass. It is shown that the behavior of an individual irregularly-shaped matrix block can be modeled with reasonable accuracy by using the results for a spherical matrix block, if one uses an effective radius {tilde a} = 3V/A, where V is the volume of the block and A is its surface area. In the early-time regime of matrix imbibition, it is shown that a collection of blocks of different sizes can be modeled ... continued below

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8 p.

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Zimmerman, R.W. & Bodvarsson, G.S. March 1, 1994.

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A theoretical study is presented of the effect of matrix block shape and matrix block size distribution on liquid imbibition and solute absorption in a fractured rock mass. It is shown that the behavior of an individual irregularly-shaped matrix block can be modeled with reasonable accuracy by using the results for a spherical matrix block, if one uses an effective radius {tilde a} = 3V/A, where V is the volume of the block and A is its surface area. In the early-time regime of matrix imbibition, it is shown that a collection of blocks of different sizes can be modeled by a single equivalent block, with an equivalent radius of <a{sup {minus}1}>{sup {minus}1}, where the average is taken on a volumetrically-weighted basis. In an intermediate time regime, it is shown for the case where the radii are normally distributed that the equivalent radius is reasonably well approximated by the mean radius <a>. In the long-time limit, where no equivalent radius can be rigorously defined, an asymptotic expression is derived for the cumulative diffusion as a function of the mean and the standard deviation of the radius distribution function.

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8 p.

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INIS; OSTI as DE94013105

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  • International high-level radioactive waste management conference, Las Vegas, NV (United States), 22-26 May 1994

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  • Other: DE94013105
  • Report No.: LBL--35560
  • Report No.: CONF-940553--62
  • Grant Number: AC03-76SF00098
  • Office of Scientific & Technical Information Report Number: 145209
  • Archival Resource Key: ark:/67531/metadc623735

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  • March 1, 1994

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  • June 16, 2015, 7:43 a.m.

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  • April 4, 2016, 9:04 p.m.

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Zimmerman, R.W. & Bodvarsson, G.S. Approximating the imbibition and absorption behavior of a distribution of matrix blocks by an equivalent spherical block, article, March 1, 1994; California. (digital.library.unt.edu/ark:/67531/metadc623735/: accessed August 22, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.