Development of an Innovative Shape Factor for Dimension Stone Blocks in Stone Quarries: A Geotechnical Approach
摘要
Dimension stones have played a vital role in human civilization for over 12,000 years, serving both functional and aesthetic purposes. However, discontinuities within rock masses significantly reduce the efficiency of extraction and processing, resulting in irregular block shapes and increased waste. This study introduces a novel shape factor formula designed to quantitatively assess the quality of stone blocks by comparing them to an ideal rectangular cuboid. The proposed formula incorporates block flaws, including corner and edge discontinuities, and utilizes geometric parameters such as diameters and weight ratios. Validation was performed using ten granite samples from the Black Granite Ghoi quarry in Nehbandan, Iran. The calculated shape factors ranged from 0.18 to 0.97, demonstrating a strong correlation between block completeness and quality. Compared to previous methods, such as the volumetric ratio and blockiness index, the new formula reduces classification errors and avoids unrealistic outputs (e.g., values exceeding 1). This innovative approach offers a scalable and precise tool for evaluating stone blocks across diverse geological settings. Its integration into quarry operations can enhance resource optimization, reduce waste, and support global standardization in dimension stone classification.