Mean and variance of DNAPL ringer development in a saturated, randomly heterogeneous porous medium.

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Chlorinated organic solvents such as TCE and PCE are among the most ubiquitous and problematic groundwater contaminants at many sites. They usually enter the subsurface in the form of organic liquids which exhibit low miscibility with water and thus form a separate dense non-aqueous phase liquid (DNAPL). Here we analyze the movement of DNAPL in a three-dimensional randomly heterogeneous porous medium saturated with water. We consider the fluid interface between DNAPL and water to form a sharp boundary at which the capillary pressure head, assumed equal to the entry pressure head of DNAPL, is prescribed either deterministically or randomly. We ... continued below

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Tartakovsky, A. M. (Alexandre M.); Neuman, S. P. & Tartakovsky, D. M. (Daniel M.) January 1, 2001.

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Chlorinated organic solvents such as TCE and PCE are among the most ubiquitous and problematic groundwater contaminants at many sites. They usually enter the subsurface in the form of organic liquids which exhibit low miscibility with water and thus form a separate dense non-aqueous phase liquid (DNAPL). Here we analyze the movement of DNAPL in a three-dimensional randomly heterogeneous porous medium saturated with water. We consider the fluid interface between DNAPL and water to form a sharp boundary at which the capillary pressure head, assumed equal to the entry pressure head of DNAPL, is prescribed either deterministically or randomly. We treat log hydraulic conductivity as a statistically homogeneous random field with given mean, variance and covariance, This allows us to cast the corresponding boundary-value problem in the form of an integro-differential equation, in which the parameters and domain of integration are random. Expanding this equation in a Taylor series about the mean position of the front, and averaging in probability space, yields leading-order ensemble I moment equations for the mean and variance of front evolution with time. Previously we solved these moment equations analytically in one-dimension with gravity, to first order in the variance of log conductivity, and compared our solution with the results of Monte Carlo sjmulations. Here we solve the same moment equations numerically in two-spatial dimensions without gravity.

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1 p.

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  • Submitted to: XIV International Conference on Computational Methods in Water Resources

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  • Report No.: LA-UR-01-6188
  • Grant Number: none
  • Office of Scientific & Technical Information Report Number: 975861
  • Archival Resource Key: ark:/67531/metadc935033

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Reports, articles and other documents harvested from the Office of Scientific and Technical Information.

Office of Scientific and Technical Information (OSTI) is the Department of Energy (DOE) office that collects, preserves, and disseminates DOE-sponsored research and development (R&D) results that are the outcomes of R&D projects or other funded activities at DOE labs and facilities nationwide and grantees at universities and other institutions.

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  • January 1, 2001

Added to The UNT Digital Library

  • Nov. 13, 2016, 7:26 p.m.

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  • Dec. 12, 2016, 5:55 p.m.

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Tartakovsky, A. M. (Alexandre M.); Neuman, S. P. & Tartakovsky, D. M. (Daniel M.). Mean and variance of DNAPL ringer development in a saturated, randomly heterogeneous porous medium., article, January 1, 2001; United States. (digital.library.unt.edu/ark:/67531/metadc935033/: accessed December 14, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.