TY - JOUR TI - Topology-based 3-D fractal characterization of fracture complexity in propagation experiment AU - Yan Hao AU - Zhang Ran AU - Zhu Ju-Hui AU - Wang Rong AU - Ren Qian-Kun AU - Ren Yong JN - Thermal Science PY - 2024 VL - 28 IS - 2 SP - 1029 EP - 1035 PT - Article AB - The complexity of the fracture network, formed by the interaction of hydraulic fractures and natural fractures during hydraulic fracturing, is one of the important criteria for guiding shale gas field production. In this study, we selected the deep shale of the Longmaxi formation as the object of study. Through indoor hydraulic fracturing experiments and fracture 3-D reconstruction technology, we conducted a quantitative study on the complexity of the fracture network created by the influence of hydraulic and natural fractures interacting with each other during hydraulic fracturing. The results show that the fractal dimensions, average connection numbers of topological structure branches, and relative lengths of fracture intersections for hydraulic fractures in 10 groups of specimens are 1.93-2.27, 0-1.143, and 1.02-1.98, respectively.