LBM and electric current

Dear all

i want to research on simulation of electrical current in saturated rock with lattice Boltzmann method. and i find this paper
“Numerical simulation of non-Archie electrophysical property of saturated rock with lattice Boltzmann method”.
but this article disappoint me because it was ambiguous and unclear with unrelated references.
please help me if u are familiar with this subject.

Regards
Sajad