Flow through porous media at the percolation transition
Physical Review Research,
Journal Year:
2025,
Volume and Issue:
7(1)
Published: Feb. 12, 2025
We
study
low-Reynolds-number
fluid
flow
through
a
two-dimensional
porous
medium
modeled
as
Lorentz
gas.
Using
extensive
finite-element
simulations
we
fully
resolve
the
fields
for
packing
fractions
approaching
percolation
threshold.
Near
transition,
find
power-law
scaling
of
rate
versus
fraction
with
an
exponent
≈5/2,
which
was
predicted
earlier
by
mapping
macroscopic
to
discrete
network
[B.
I.
Halperin
,
].
Importantly,
observe
rounding
behavior
at
small
system
sizes,
can
be
rationalized
via
finite-size
ansatz.
Finally,
show
that
distribution
kinetic
energy
exhibits
over
several
decades
energies,
originating
from
collections
self-similar,
viscous
eddies
in
dead-end
channels.
Our
results
lay
foundation
unraveling
critical
complex
fluids
omnipresent
biological
and
geophysical
systems.
Published
American
Physical
Society
2025
Language: Английский
Hydro-shearing and traffic light protocols in mitigating seismic risks: A fully-coupled poroelastic boundary integral modeling approach
Journal of Rock Mechanics and Geotechnical Engineering,
Journal Year:
2025,
Volume and Issue:
unknown
Published: Feb. 1, 2025
Language: Английский