Some key aspects of RC structures refer to concrete composition, steel reinforcement, design and engineering (resistance to various forces, including gravity, wind, and seismic forces), types of RC structures, strength and durability, flexibility in design, construction techniques, reinforced concrete elements for carrying specific loads and fulfill structural and architectural requirements, seismic design in regions prone to earthquakes involving specialized engineering techniques and materials to ensure the safety of the building and its occupants during an earthquake, maintenance, sustainability, and fire resistance. Cellular concrete (also called autoclaved aerated concrete, porous concrete, and aerated concrete) combines cement, water, and preformed foam. All of the production technologies developed for this material use standard components--cement, sand, water, lime, gypsum, and an expanding agent (powder or paste of aluminum)--to foam the cellular concrete. The purpose of the foam is to supply a mechanism by which a relatively high proportion of stable air voids can be induced into the mixture and produce a cellular or porous solid upon curing the mixture. Seismic-type ground motion can be induced not only by earthquakes but also by so-called paraseismic sources, such as mining tremors. Mining-related surface vibrations constitute an essential problem in mining areas. Underground exploitation results in induced seismicity and, as a consequence, a negative paraseismic vibration impact on the environment. Damage to surface structures (residential or office buildings, among others) may occur as a result. Mining tremors are similar to natural earthquakes due to their randomness, lack of human control of the time and place of their occurrence, and also due to the energy magnitude of the strongest mining rock bursts. However, some parameters could be different, such as vibration duration, depths of hypocentre, and predominant frequencies of vibrations. Thus, the analysis of the influence of mining-associated vibrations on buildings is very important. The study concerns the analysis of the SSI phenomenon in the case of mining rock bursts in Poland. This article focuses on one very important problem of SSI, especially in designing and constructing buildings--transmission of mining vibrations from the ground to the foundation of the building. The influence of changes in site material conditions (subsoil properties) and building material properties on the SSI phenomenon was investigated. A few variants of different properties of typical construction materials (brick, reinforced concrete, and cellular concrete) in the case of selected representative building structure were considered. The subsoil material properties from the wide range were also taken into account. Numerical three-dimensional finite element method (3D FEM) analysis was applied. The adopted models of the soil-structure system were verified using data from in situ experimental vibration measurements. A significant influence of the subgrade material and the building structure material on the SSI was demonstrated. Additionally, similarly to SSI, tests were conducted on the ground material and building material influence on an important parameter that affects SSI--the natural frequency of the building. In particular, the significance of the work comes from its new contributions: (a) experimentally (using in situ measurements) validated 3D FEM modeling of the soil-building system with three variants of subsoil models (nonflexible, flexible without damping taken into consideration, flexible taking into account damping); (b) numerical evaluation of the influence of both subsoil and building material properties on the natural frequencies of building with typical structure with load-bearing walls; (c) numerical evaluation of the mine-induced building foundation vibration dependence on the material properties of subsoil and the material of building structure.