“…Other factors affecting ground collapse have also been studied in detail by researchers, including the water head, soil grading, soil type, and shape of defects [6,7]. Furthermore, an analytical model based on the free-fall arch theory was proposed to predict the rate of sand and water loss induced by pipe leakage, which was validated using a model test [7,8]. However, because of the shortcomings of experimental studies investigating the mesoscopic mechanism of soil erosion, a numerical method was adopted to explore this mechanism in depth.…”