






INTERACTIONS
BETWEEN CONDUCTIVITY AND POROSITY HETEROGENEITIES 



This video demonstrates the impact
of interactions between conductivity and porosity heterogeneities on the
spreading of a conservative solute plume. The modeling domain consists of
constant head boundaries on the left and right extremes, and noflow
boundaries at the top and bottom. Details are provided in Table 1.3. 

The following observations can be
made from the video:


Case 1: Even though K varies
continuously over space, n remains constant throughout the field. This
is not a commonly encountered situation. In the absence of sufficient data, n
is assumed to be constant throughout the field. Case 2: In a more common
situation, n interacts positively with K . When n increases,
the seepage velocity decreases. The seepage velocity is given by q/n ,
where q is the Darcy velocity. When n increases, the seepage
velocity decreases, resulting in less plume spreading. Hence, the plume
spreads lesser than in case 1. Case 3: In this case, n interacts
negatively with K . This means that n decreases when K increases.
This relatively uncommon situation results in enhanced spreading of the
plume. The eventual size of the plume is greater in comparison to case 1. Case 4: When n varies with
no relationship to K , velocity variability is random. The plume
spreading is dependent on ln n realization. Giving n a single value
ignores the variability, resulting in increasing or reducing plume spreading.
The video shows that the effect on plume spreading is significant. The video shows only the variation
of K over space. The variation of n over space is shown below.
Notice that, even though the cases look very different from each other, the
head contours are the same. The head is dependent only on K . Since
the ln K realization is the same for all cases, the head contours are
identical. 