With the rapid development of China's economy, more and more long-deep tunnels are under construction, especially in the mountainous area of western China and in karst areas [1-2], which pose a great challenge for tunnel engineering. Long-deep tunnels are always buried in complex geological conditions with high geo-stress, high water pressure, strong karst geology, and construction disturbance Additionally, it is quite difficult to make a
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Wang et al. (2017) studied this question.
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