We describe a method for the development of the optimal spatial distributions of the porosity
ϕ and permeability k of a large-scale porous medium. The optimal distributions are
constrained by static and dynamic data. The static data that we utilize are limited data for ϕ
and k, which the method honors in the optimal model and utilizes their correlation functions
in the optimization process. The dynamic data include the first-arrival (FA) times, at a number
of receivers, of seismic waves that have propagated in the porous medium, and the time …

This paper is part of a project, the goal of which is the development of the optimal spatial
distributions of the porosity and permeability of a large-scale porous medium by using
complementary static and dynamic data for the medium. The data include limited
measurements of the porosity, which the method honors (preserves) in the optimal model
and utilizes its correlation function, together with the first-arrival (FA) times, at a certain
number of receivers, of seismic waves that have propagated in the medium and the time …