Biomedical Engineering Reference
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t
= 2000
t
= 4000
t
= 6000
A
BC
t
= 2000
t
= 4000
t
= 6000
t
= 6000
t
= 21000
t
= 45000
FIGURE 7.8
Two-dimensional SPH simulations of precipitation resulting from the mixing
of two reactive solutions in a porous medium at three different Peclet numbers
and two different Damkohler numbers. The solutes,
A
(medium gray) and
B
(dark gray), were injected at the same rate into the right and left halves of the
computational domain. As the solutions mix,
A
and
B
react and produce the
product
C
, which precipitates on mineral surfaces. The gray scale indicates the
concentrations of A, B, and C. The gray particles represent mineral grains and
the light gray particles are precipitated solid
C
(Tartakovsky et al. 2008a).
(Tartakovsky, A.M., Redden, G., Lichtner, P., Scheibe, T., and Meakin,
P.,
Water Res. Res.
, 44, 2008, doi:10.1029/2006WR005725. Copyright 2008
American Geophysical Union. Reproduced/modified by permission of Ameri-
can Geophysical Union.)
SPH particles to simulate the precipitation zone and large SPH particles to
simulate solute dispersion can be used.
7.5 Hybrid Models for Diffusion-Reaction Systems
Mineral precipitation and biofilm growth are amenable to mathematical
descriptions on a multiplicity of scales that range from the atomistic scale
to the continuum (Darcy) scale. While pore-scale and finer-scale models can
be used to simulate such phenomena with a high degree of fidelity, they often
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