Table 1 Critical exponents for invasion percolation for lattice configurations relevant to our study.

From: Avalanches in strong imbibition

Lattice

Square

Hexagonal

Triangular

De

1.22

1.21

1.62

D

1.82

1.83

1.89

ν

4/3

4/3

4/3

Trapping

Yes

Yes

No

a

[1,1.67]

[1,1.66]

[1,1.86]

b

0.74

0.75

0.54

  1. The values of the fractal dimension (D), the displacement front fractal dimension De, and the correlation length divergence exponent (ν) are taken from Stauffer and Aharony33, Wilkinson and Willemsen34, Knackstedt et al.35. Values of a and b are calculated from Eqs. (2)-(3).