PGE 323
Test#3
Open notes
May 4, 2006
Pope
1.
(50%) Consider a core flood experiment done under ideal conditions so that all of the
assumptions used to derive the 1D linear convectiondispersion equation are valid.
(a) Suppose the core if full of white water at time zero.
Then a small slug of blue water is
injected from time 0 to time t
1
. Then a small slug of white water is injected from time t
1
to time t
2
.
Lastly, a small slug of red water is injected from time t
2
to time t
3
. Make
sketches of the concentration history (production) for each of the following assumptions:
1. no dispersion or diffusion 2. very small dispersion coefficient and 3. very large
dispersion coefficient. Use nondimensional variables as used in the course notes so that
each slug has a normalized concentration of either 1 or 0.
Carefully label and explain
your sketches.
Although there is no unique answer to this question and your sketches do
not need to be perfect, you should be careful to conserve mass, make the slugs come out
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 Spring '10
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 Fluid Dynamics, Welge method

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