# name
Kinetic roughening in two-phase fluid flow through a random Hele-Shaw cell

# metadata.dc.description.abstract[].value
A nonlocal interface equation is derived for two-phase fluid flow, with arbitrary wettability and viscosity contrast, 
c
=
(
μ
1
−
μ
2
)
/
(
μ
1
+
μ
2
)
, in a model porous medium defined as a Hele-Shaw cell with random gap 
b
0
+
δ
b
. Fluctuations of both capillary and viscous pressure are explicitly related to the microscopic quenched disorder, yielding conserved, nonconserved, and power-law correlated noise terms. Two length scales are identified that control the possible scaling regimes and which scale with capillary number Ca as 
ℓ
1
∼
b
0
(
c
C
a
)
−
1
/
2
 and 
ℓ
2
∼
b
0
C
a
−
1
. Exponents for forced fluid invasion are obtained from numerical simulation and compared with recent experiments.

# metadata.dc.source[].value
Articles publicats en revistes (Física Quàntica i Astrofísica)

# metadata.dc.title[].value
Kinetic roughening in two-phase fluid flow through a random Hele-Shaw cell