Abstract
Estimating the possible region of liquefaction occurrence during a strong earthquake is highly valuable for economy loss estimation, reconnaissance efforts and site investigations after the event. This study identified and compiled a large amount of liquefaction case histories from the 2008 Wenchuan earthquake, China, to investigate the relationship between the attenuation of seismic wave energy and liquefaction distance limit during this earthquake. Firstly, we introduced the concept of energy absorption ratio, which is defined as the absorbed energy of soil divided by the imparted energy of seismic waves at a given site, and the relationship between the energy absorption ratio and the material damping ratio was established based on shear stress–strain loop of soil element and the seismic wave propagation process from the source to the site. Secondly, the threshold imparted seismic energy of liquefaction was obtained based on existing researches of absorbed energy required to trigger liquefaction of sandy soils and the ground motion attenuation characteristics of the 2008 Wenchuan earthquake, and the liquefaction distance limit of this earthquake was estimated according to the proposed magnitude–energy–distance relationship. Finally, the field liquefaction database of 209 sites of the 2008 Wenchuan earthquake was used to validate such an estimation, and the field observed threshold imparted seismic energy to cause liquefaction in recent major earthquakes worldwide was back-analyzed to check the predictability of the present method, and several possible mechanisms were discussed to explain the discrepancy between the field observations and the theoretical predictions. This study indicates that seismic energy attenuation and liquefaction distance limit are regional specific and earthquake dependent, and 382 J/m3 is the average level of threshold imparted seismic energy to cause liquefaction for loose saturated sandy soils, and the corresponding liquefaction distance limit is approximately 87.4 km in fault distance for a Mw = 7.9 event in the Chengdu Plain. The proposed regional energy attenuation model and threshold imparted seismic energy may be considered as an approximate tool in evaluating the liquefaction hazard during potential earthquakes in this area.
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Acknowledgements
This study is partly supported by the National Natural Science Foundation of China (Nos. 51578501, 51778573), the National Program for Special Support of Top-Notch Young Professionals (2013), the Zhejiang Provincial Natural Science Foundation of China (No. LR15E080001) and the National Basic Research Program of China (973 Project) (No. 2014CB047005). The authors thank Dr. Chao Han, Dr. Xiaomin Xu, Dr. Hongguang Jiang, Mr. Kongzheng Wang and Mr. Xiaoqi Wan of Zhejiang University for their great efforts during the site investigations and data compiling.
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Zhou, YG., Liu, K., Ling, DS. et al. Threshold seismic energy and liquefaction distance limit during the 2008 Wenchuan earthquake. Bull Earthquake Eng 16, 5151–5170 (2018). https://doi.org/10.1007/s10518-018-0396-7
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DOI: https://doi.org/10.1007/s10518-018-0396-7