Which 2D Darcy dataset replicates the FNO's data?

[scaomath]

Hi, thanks for the repository. Currently it seems that every instance in the 2D "Darcy" dataset has the diffusion coefficients looking like the following

I wonder if there is dataset that uses FNO's $a$ which satisfy a log-normal distribution to model the porous media (see e.g., https://journals.aps.org/pre/abstract/10.1103/PhysRevE.51.4141).

If not, is it possible to share the distribution to generate the diffusion coefficients? I could not find in the paper.

Thanks.