Three‐dimensional shakedown solutions for anisotropic cohesive‐frictional materials under moving surface loads

Previous work on three‐dimensional shakedown analysis of cohesive‐frictional materials under moving surface loads has been entirely for isotropic materials. As a result, the effects of anisotropy, both elastic and plastic, of soil and pavement materials are ignored. This paper will, for the first time, develop three‐dimensional shakedown solutions to allow for the variation of elastic and plastic material properties with direction. Melan's lower‐bound shakedown theorem is used to derive shakedown solutions. In particular, a generalised, anisotropic Mohr–Coulomb yield criterion and cross‐anisotropic elastic stress fields are utilised to develop anisotropic shakedown solutions. It is found that shakedown solutions for anisotropic materials are dominated by Young's modulus ratio for the cases of subsurface failure and by shear modulus ratio for the cases of surface failure. Plastic anisotropy is mainly controlled by material cohesion ratio, the rise of which increases the shakedown limit until a maximum value is reached. The anisotropic shakedown limit varies with frictional coefficient, and the peak value may not occur for the case of normal loading only. Copyright © 2013 John Wiley & Sons, Ltd.     

从同震和震后形变分析1668年M8.5级郯城地震对周边地震活动性的影响

以山东郯城1668年大地震为例,以前人地表地质调查结果为约束,利用弹性位错理论初步获取了该地震的同震破裂模型;在此基础上,基于粘弹性分层模型分析了该地震的同震和震后形变,同时以主震断层为接收断层计算了库仑应力分布,进一步讨论了地幔不同粘滞性系数对地表形变和库仑应力变化的影响。计算结果显示,该地震是一个右旋走滑为主兼有一定逆冲性质的地震,其同震位移巨大,能量释放较彻底;同震破裂造成震中郯城县西北、东北和南部部分断层库仑应力增加,而震后形变使得这些断层库仑应力进一步增加,在单县、宿迁和日照等地,地震后350 a库仑应力变化量达到+1bar-+1MPa量级;地幔粘滞性系数不同,形变量和库仑应力变化达到稳定的时间不同,但最终趋于稳定的数值基本一致。     

Conjugate ruptures and seismotectonic implications of the 2019 Mindanao earthquake sequence inferred from Sentinel-1 InSAR data

In 2019, four strong earthquakes of Mw>6.4 occurred successively in Mindanao, Philippines. Based on the reports from the USGS and PHIVOLCS, these earthquakes were dominated by strike-slip ruptures. Whether these earthquakes are temporally and spatially related remained unknown. We characterized the coseismic displacement fields during the earthquake sequence using an InSAR technique with Sentinel-1 SAR data. The InSAR deformation measurements convincingly reveal that the four earthquakes produced distinct coseismic displacement patterns. We estimated the source parameters of the earthquakes with a two-step inversion strategy. The optimal model suggests that the earthquake sequence resulted from the reactivation of a conjugate fault structure that involves two nearly vertical left-lateral strike-slip faults and two high-angle right-lateral strike-slip faults. We calculated Coulomb stress changes from the earthquake sequence, suggesting that the previous strong earthquakes had significant stress-encouraging effects on the following events. The regional velocities based on the GPS analysis suggest that the formation of this conjugate structure is mainly due to the westward movement of the subducting Philippine Sea Plate. This earthquake sequence provides a seismotectonic background for subsequent strong earthquakes and helps to better understand the formation mechanisms and seismotectonic implications of conjugate structure rupturing.     

利用InSAR资料反演宁洱Ms6.4地震震源参数及库仑应力变化

首先利用ALOS PALSAR数据,通过D-InSAR技术获取2007-06-03云南宁洱MS6.4地震的同震形变场,然后基于Okada弹性半空间位错模型反演该地震的断层几何以及精细滑动分布,最后计算宁洱地震后周边断层的静态库仑应力变化。结果表明,形变主要集中在西盘,最大视线向形变量为51.6 cm;反演得到的震源位置为23.05°N、101.02°E,深度3 km,断层走向145°,倾向49.5°,平均滑动角153°,发震断层为NNW向普洱断裂,断层活动以右旋走滑为主,兼具逆冲分量;断层面最大滑动量为1.2 m,反演得到的震级为MW619。基于库仑应力场发现,磨黑断裂处于库仑应力增加区域,而2014年景谷地震位于负值区域。结合实地考察资料和反演结果表明,宁洱地震为浅源地震,但断层并未出露地表。     

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COULOMB STRESS CHANGE ON ACTIVE FAULTS IN SICHUAN-YUNNAN REGION AND ITS IMPLICATIONS FOR SEISMIC HAZARD

Coulomb stress change on active faults is critical for seismic hazard analysis and has been widely used at home and abroad. The Sichuan-Yunnan region is one of the most tectonically and seismically active regions in Mainland China, considering some highly-populated cities and the historical earthquake records in this region, stress evolution and seismic hazard on these active faults capture much attention. From the physical principal, the occurrence of earthquakes will not only cause stress drop and strain energy release on the seismogenic faults, but also transfer stress to the surrounding faults, hence alter the shear and normal stress on the surrounding faults that may delay, hasten or even trigger subsequent earthquakes. Previously, most studies focus on the coseismic Coulomb stress change according to the elastic dislocation model. However, the gradually plentiful observation data attest to the importance of postseismic viscoelastic relaxation effect during the analysis of seismic interactions, stress evolution along faults and the cumulative effect on the longer time scale of the surrounding fault zone. In this paper, in order to assess the seismic hazard in Sichuan-Yunnan region, based on the elastic dislocation theory and the stratified viscoelastic model, we employ the PSGRN/PSCMP program to calculate the cumulative Coulomb stress change on the main boundary faults and in inner blocks in this region, by combining the influence of coseismic dislocations of the M≥7.0 historical strong earthquakes since the Yongsheng M7.8 earthquake in 1515 in Sichuan-Yunnan region and M≥8.0 events in the neighboring area, and the postseismic viscoelastic relaxation effect of the lower crust and upper mantle. The results show that the Coulomb stress change increases significantly in the south section of the Xianshuihe Fault, the Anninghe Fault, the northern section of the Xiaojiang Fault, the southern section of the Longmen Shan Fault, the intersection of the Chuxiong-Jianshui Fault and the Xiaojiang Fault, and the Shawan section of the Litang Fault, in which the cumulative Coulomb stress change exceeds 0.1MPa. The assuming different friction coefficient has little effect on the stress change, as for the strike-slip dominated faults, the shear stress change is much larger than the normal stress change, and the shear stress change is the main factor controlling the Coulomb stress change on the fault plane. Meanwhile, we compare the Coulomb stress change in the 10km and 15km depths, and find that for most faults, the results are slightly different. Additionally, based on the existing focal mechanism solutions, we add the focal mechanism solutions of the 5 675 small-medium earthquakes(2.5≤M≤4.9)in Sichuan-Yunnan region from January 2009 to July 2019, and invert the directions of the three principal stresses and the stress shape factor in 0.1°×0.1° grid points; by combining the grid search method, we compare the inverted stress tensors with that from the actual seismic data, and further obtain the optimal stress tensors. Then, we project the stress tensors on the two inverted nodal planes separately, and select the maximum Coulomb stress change to represent the stress change at the node. The results show that the cumulative Coulomb stress change increase in the triple-junction of Sichuan-Yunnan-Tibet region is also significant, and the stress change exceeds 0.1MPa. Comprehensive analysis of the Coulomb stress change, seismic gaps and seismicity parameters suggest that more attention should be paid to the Anninghe Fault, the northern section of the Xiaojiang Fault, the south section of the Xianshuihe Fault, the southern section of the Longmen Shan Fault and the triple-junction of the Sichuan-Yunnan-Tibet region. These results provide a basis for future seismic hazard analysis in the Sichuan-Yunnan region.     

Experimental research on the mechanical properties of methane hydrate-bearing sediments during hydrate dissociation

This paper describes studies of the effect of hydrate dissociation on the safety and stability of methane hydrate-bearing sediments. Methane hydrates within the sediments were dissociating under the conditions of a confining pressure of 0.5 MPa, 1 MPa, 2 MPa and a temperature of −5 °C. After 6 h, 24 h, or 48 h, a series of triaxial compression tests on methane hydrate-bearing sediments were performed. The tests of ice-clay and sediments without hydrate dissociation were performed for comparison. Focusing on the mechanical properties of the sediments, the experimental results indicated that the shear strength of the ice-clay mixtures was lower than that of the methane hydrate-bearing sediments. The strength of the sediments was reduced by hydrate dissociation, and the strength tended to decrease further at the lower confining pressures. The secant modulus E_S of the sediments dropped by 42.6% in the case of the dissociation time of the hydrate of 48 h at the confining pressure of 1 MPa; however, the decline of the initial yield modulus E₀ was only 9.34%. The slower hydrate dissociation rate contributed to reducing the failure strength at a declining pace. Based on the Mohr–Coulomb strength theory, it was concluded that the decrease in strength was mainly affected by the cohesive reduction. Moreover, the mathematical expression of the M–C criterion related to the hydrate dissociation time was proposed. This research could be valuable for the safety and stability of hydrate deposits in a permafrost region.     

芦山地震的发生对周围断层影响的数值模拟

芦山地震发生后,地震的发生造成周围断层应力变化值得关注。本文基于川滇地区的三维非线性有限元模型,利用芦山地震同震静态滑移量结果,分析地震的发生对川滇地区主要断裂的同震加卸载效应。初步结果表明,芦山地震的发生造成龙门山断裂中南段、岷江断裂、马尔康断裂、鲜水河断裂北西段、大凉山断裂南段、小江断裂南段不同程度的应力增加。其中龙门山断裂中南段增加最为显著,最大库仑应力增加量达0.035 MPa;岷江断裂次之,最大达0.0075 MPa;马尔康断裂增加量达0.0031 MPa;鲜水河断裂北西段达0.0008 MPa。而从断裂带同震应变积累与释放方面分析的结果同样表明上述四条断裂地震危险性增强。该结果可以为川滇地区地震危险性分析提供一定的参考依据。     

仙女山-九畹溪断裂带附近地区地震活动性与静态库仑应力变化研究

基于仙女山-九畹溪断裂带附近地区地质构造,讨论三峡水库蓄水前后该断裂带附近地区的地震活动特征,同时分析该区域2014-03 M4.5与M4.7地震间的触发关系及2次地震对后续小震的影响。结果表明：1）M4.7地震可能由M4.5地震与库水渗流产生的较大孔隙压力共同触发。2）M4.5与M4.7两次地震的应力扰动导致研究区内地震活动增加,后续地震中约66.9%的地震发生于库仑应力增强区。3）2次地震产生的静态库仑应力变化导致仙女山断裂带附近地区地震活动增加,后续地震活动水平将处于背景地震活动水平之上;九畹溪断裂带活动性相对较弱,略小于背景地震活动水平,且处于应力积累阶段。     

Stability analysis of shotcrete supported crown of NATM tunnels with discontinuity layout optimization

For tunnel constructed by New Austrian Tunnelling Method, the crown is the upper part of tunnel section, constructed during excavation process and supported by shotcrete. The stability of the crown has great influence on the safety of tunnel itself and the buildings above, which correlates, among others, with geometrical setup of tunnel and material properties of shotcrete and soil/rock. In this paper, aiming at analyzing the stability of shotcrete supported crown, a recently presented numerical method discontinuity layout optimization is adopted, which introduces a great amount of potential discontinuities cross over one another and provides a wide search space for efficient upper limit analysis. In the analysis, a well‐established hydration model of cementitious material is implemented for accounting the hydration of shotcrete. Then assumptions based on convergence‐confinement method are used for accounting the 3‐dimensional effect in 2‐dimensional analysis, finally providing time‐space–dependent assessments of stability of shotcrete supported crown.