## 1 Introduction  
Nowadays, the application of explosives to break rocks is a very common way of extracting rocks [1, 2]. The blasting technique has to have a minimal impact on civil properties in the surrounding area. This is a crucial requirement to reduce the damage to the buildings and citizens' health [3]. Blasting in quarries is a commonly applied technique for quarrying rocks; hence, the problems associated with this method are a very important issue for the surface mining industry. Explosive energy is used to break rock. However, the use of this energy is not 100% efficient. Some of the energy escapes into the atmosphere to generate air blast or air vibrations. Some of the energy also leaves the blast site through the surface soil and bedrock in the form of ground vibrations [4]. Waves of air vibrations and soil vibrations disturb the material and massif, causing their movement when they encounter buildings or structures and shaking. Vibrations of soil enter the house through the basement or foundations, and air waves affect the house over the walls and roof. The shaking of the surface of the Earth wave causes the structure to shake and rattles objects hanging on walls or sitting on shelves inside the building. This \"interior noise\" will alarm and startle people living in the house. It is necessary to analyze these vibration impacts on facilities/buildings and the residential buildings around the mines [4]. In this case, determining a permissible explosive limit that takes into consideration the protection of such structures is crucial. The determination of a permissible explosive limit for blasting works is the first step in the precautionary safety measures of quarries. Increasing numbers of mines initiate extensive precautionary measures aimed at safe blasting works with simultaneous, periodic, or constant documentation of the impact on the buildings in the surrounding area [5]. It presents the general course of action in a dynamic diagnosis [5] where the following stages are necessary: recognition of the building types in the surroundings of a mine, recognition of the vibration sources, considering of mining conditions and the course of the vibration propagation from the sources to the buildings, assessment of the impact of the blasting works on buildings (and assessment of their level causing a nuisance for citizens), and a correct diagnosis (stating whether there is a cause and effect connection between the actual technical condition of the given buildings and the vibrations induced in a mine). Precautionary measures in surface quarries, aimed at minimizing the impact of blasting works, mostly depend on the followings [5]: the threat level for structures located in the surroundings, their number and purpose (industrial buildings, residential and utility buildings, and protected buildings), frequency of the blasting works and technique of the blasting works. Drilling and blasting are widely used methods for rock fragmentation in open-pit mines, tunneling and civil projects. Flyrock, as one of the most dangerous effects induced by blasting, can cause substantial damage to structures and injury to humans [6]. Due to the development of new explosive systems and initiation devices, blast design and execution software tools, the blasting process has now become more efficient and safer than before. Moreover, the hazards from blasting can instead be predicted before the actual blasting; thus, the adverse impacts of blasting can be controlled and reduced [6]. Several authors deal with the use of mathematical modeling to predict vibration from blasting while also using elements of artificial intelligence. Such a modeling system has been developed for decades [7; 8]. Various tools are used to solve vibration prediction. [PERSON] et al. [9] created a finite element method (FEM) model that predicts ground vibrations due to blasting. [PERSON] [10] used artificial neural networks (ANNs) and dimensional analysis techniques to evaluate and calculate the blast-induced ground vibration. [PERSON] et al.