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Hydraulic fracturing analysis method of reinforced concrete lining in hydraulic tunnel

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ZHOU Li 1，2 ，SU Kai ，WANG Yang ，ZHANG Yanjun ，ZHU Hongze ，WU Hegao 1
（1. State Key Laboratory of Water Resources and Hydropower Engineering Science，Wuhan University，Wuhan 430072，China；
2. Changjiang Institute of Survey，Planning，Design and Research，Wuhan 430010，China）
Abstract： The cohesive element with hydro-mechanical coupling property is introduced to simulate the lin⁃
ing crack and lining-rock interface. In this way， the discontinuous displacement characteristics of lining
crack and interface gap can be taken into consideration，as well as the flow characteristics of pressure wa⁃
ter inside. Combined with the indirect-coupled method of hydro-mechanical interaction， the hydraulic frac⁃
turing algorithm of reinforced concrete lining in hydraulic tunnel is proposed. The development history of lin⁃
ing crack and the evolution of crack width are explored，as well as the water pressure transfer characteris⁃
tics inside lining crack and interface gap. Based on this， the influences of conditional cooperation between
lining and surrounding rock are analyzed systematically. Through the calculation and analysis， it can be
found that the process of crack initiation and propagation is short and inseparable during the water-filling
period of hydraulic tunnel. Subsequently， the water pressure inside lining crack suddenly increases， and
the effect of inner water exosmosis accelerates. After the cracking of lining， the water pressure inside lin⁃
ing crack slightly declines along the radial direction， and the pressure magnitude is relatively close to the
inner water pressure. With the conditional cooperation considered，the water flow channel formed by the lin⁃
ing crack and lining-rock interface can play a role in transmitting water pressure，resulting in a more uni⁃
form distribution of water pressure outside the lining. The lining cracks are in a relatively stable state，and
the distribution of lining cracks is small in number and large in spacing. This is more consistent with the
results of field tests.
Keywords： hydraulic tunnel； reinforced concrete lining； hydraulic fracturing； cohesive element； conditional
cooperation

（责任编辑：王冰伟）

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