Interconversion of Microcrack Density Parameters and the Impact of Their Statistical Characteristics on the Physico-mechanical Properties of Rocks
摘要
Microcracks within rocks are essential for both disaster prevention and the optimization of energy resource extraction. Consequently, a precise characterization of microcracks is indispensable for accurate predictions and assessments of rock mechanical properties. Despite the existence of numerous methods to determine microcrack density, disparities among the calculated parameters often occur, and the conversion relationships between them are not well-defined. This study endeavors to bridge these gaps by standardizing the methodologies used to characterize microcrack density and enhancing understanding of its quantitative attributes and their influence on rock behavior. We synthesized a comprehensive data set from both existing literature and our experimental data to analyze microcrack density. Our analysis, encompassing a significant data set, identified the influence of the scale of observation on microcrack density values and led to the formulation of dimensionless conversion relationships among various microcrack density measures. In addition, we investigated the effects of several external factors on microcrack density distribution, such as rock type, causes of microcracks, and environmental temperature. Utilizing statistical approaches, we assessed how microcrack density affects key rock properties, such as P-wave velocity, tensile strength, compressive strength, and the elastic modulus, establishing envelope curves that define the limits of microcrack density. This investigation provides critical insights that could greatly benefit numerical modeling, engineering applications, and geological research focused on rock stability and fracture processes.