“…Fractures are often observed underground, which usually control the mechanical and hydraulic properties of the formations (e.g., Gale et al, ; Walsh, ). Hence, fracture detection and characterization are of great importance in many disciplines, such as oil/gas exploration and production, underground engineering, mining engineering, CO 2 sequestration, among many others (e.g., Bakulin et al, , , ; Lisjak et al, ; Shukla et al, ; Wagner, ). For this purpose, geophysical methods are often used due to their noninvasive feature, among which acoustic methods, including seismic and sonic logging methods, are popular owing to the sensitivity of rock elastic properties to fractures (e.g., Kachanov, ; Schoenberg & Sayers, ).…”