This booklet is a summary of our work in the past ten years in the study of transport phenomena in granular materials and groundwater systems carried out in the Nuclear Research Institute at Rez and Department of Nuclear Chemistry of Czech Technical University in Prague. The main goal of our work was to find simple methods of mathematical modeling, which make possible to determine each of significant transport parameters of radionuclides in order to predict their behavior in studied systems. The presented examples of the use of this method are only partially taken from our previous work in this area. The full papers can be obtained in References. The data obtained by this simple method may well serve in the depiction of far field environment of the radioactive waste depository under normal conditions. In spite of fact that for some of us this work would be the swan-song of a relatively short period, we are convinced in the necessity of further studying this method mainly for the system, which have not been anticipated in the preceding studies.