Bl. Parker et al., DIFFUSIVE LOSS OF NONAQUEOUS PHASE ORGANIC-SOLVENTS FROM IDEALIZED FRACTURE NETWORKS IN GEOLOGIC MEDIA, Ground water, 35(6), 1997, pp. 1077-1088
The time for disappearance of stationary, single-component immiscible-
phase liquid (NAPL) from planar fractures due to dissolution and subse
quent diffusion is directly dependent on the ratio of mass storage cap
acity of dissolved and sorbed contaminant in the matrix to the initial
storage capacity for immiscible-phase liquid in the fractures. This w
as determined from an analytical solution for three-dimensional mass t
ransfer into water-saturated matrix blocks of clay or sedimentary rock
represented as rectangular parallelepipeds. A ratio greater than one
indicates the number of times the fracture void volume can be complete
ly replenished,vith the immiscible phase before disappearance ceases.
However, each successive fracture replenishment requires longer time f
or disappearance due to consumption of part of the matrix storage capa
city caused by previous fracture loadings. Ultimately,,vith continued
NAPL replenishment in the fractures, this mass redistribution causes t
he dissolved concentration in the matrix to equal the aqueous solubili
ty, at which point continued disappearance cannot occur. Mass storage
capacity ratios for matrix and fracture conditions typical of clays an
d sedimentary rocks: are greater than one for a variety of the common
chlorinated solvents. The initial disappearance times for a trichloroe
thylene (TCE) DNAPL in a fractured clay of 10(-4) fracture porosity an
d 35 percent matrix porosity with parallel, planar fractures, range fr
om 0.01 to 113 days for fracture spacings of 1 cm and 1 m, respectivel
y. Disappearance times for TCE DNAPL are much larger for a generic san
dstone with the same fracture porosity and geometry and 10 percent mat
rix porosity, and range from 0.44 to 4400 days, due to reduced storage
capacity in the matrix. These disappearance times, which are short re
lative to the ages of subsurface contamination at many industrial site
s, likely cause many DNAPL source zones, or parts of source zones, to
have little or no actual DNAPL phase. However, the matrix retains the
equivalent contaminant mass acting as a long term source zone.