Based on the heterogeneity of fault plane strength,the macro rupture process of a fault plane can be treated as the rupture accumulation process of local micro-elements in the fault surface.Assuming that the strength ...Based on the heterogeneity of fault plane strength,the macro rupture process of a fault plane can be treated as the rupture accumulation process of local micro-elements in the fault surface.Assuming that the strength of the local micro-elements follows the Weibull probability distribution,the macro-fault constitutive relationship of the complete load-deformation process is derived from a statistical mechanics viewpoint.Applying a one-dimensional earthquake mechanics model and using far-field displacement a as the control variable,the problem of earthquake instability is investigated by employing the stability theory.The results show that the system stiffness ratio(stiffness ratio of fault to surroun-ding rock) β is the important parameter that affects the occurrence of earthquakes.Earthquake instability occurs only when β < 1,and the sudden stress jump appears at the displacement turning point of the equilibrium path curve.The expression of three important parameters for earthquakes(fault half-dislocation distance after earthquake,earthquake stress drop and elastic energy release) is also given.When β≥1,the earthquake does not occur and the fault only slips slowly without an earthquake.展开更多
This study is about an analytical attempt that explores the two-dimensional concentration distribution of a solute in an open channel flow.The solute undergoes reversible sorption at the channel bed.The method of mult...This study is about an analytical attempt that explores the two-dimensional concentration distribution of a solute in an open channel flow.The solute undergoes reversible sorption at the channel bed.The method of multiple scales is used to find the two-dimensional concentration distribution,which is important for modem day application in industry,environmental risk assessment,etc.Study deduces an analytic expression of two-dimensional concentration distribution for an open channel flow with sorptive channel bed.Effects of retention parameter,Darnkohler number on the solute dispersion are also discussed in this paper.Results reveal that slow or strong kinetics(small value of Darnkohler number)increases solute dispersion.It is also observed.that for slow phase exchange kinetics between bulk flow and small retentive channel bed,solute concentration distribution will uniform faster than their inert counterpart.展开更多
基金supported by the Central Public-interest Scientific Institution Basal Research Fund of Institute of Geophysics,China Earthquake Administration(DQJB08B21)
文摘Based on the heterogeneity of fault plane strength,the macro rupture process of a fault plane can be treated as the rupture accumulation process of local micro-elements in the fault surface.Assuming that the strength of the local micro-elements follows the Weibull probability distribution,the macro-fault constitutive relationship of the complete load-deformation process is derived from a statistical mechanics viewpoint.Applying a one-dimensional earthquake mechanics model and using far-field displacement a as the control variable,the problem of earthquake instability is investigated by employing the stability theory.The results show that the system stiffness ratio(stiffness ratio of fault to surroun-ding rock) β is the important parameter that affects the occurrence of earthquakes.Earthquake instability occurs only when β < 1,and the sudden stress jump appears at the displacement turning point of the equilibrium path curve.The expression of three important parameters for earthquakes(fault half-dislocation distance after earthquake,earthquake stress drop and elastic energy release) is also given.When β≥1,the earthquake does not occur and the fault only slips slowly without an earthquake.
文摘This study is about an analytical attempt that explores the two-dimensional concentration distribution of a solute in an open channel flow.The solute undergoes reversible sorption at the channel bed.The method of multiple scales is used to find the two-dimensional concentration distribution,which is important for modem day application in industry,environmental risk assessment,etc.Study deduces an analytic expression of two-dimensional concentration distribution for an open channel flow with sorptive channel bed.Effects of retention parameter,Darnkohler number on the solute dispersion are also discussed in this paper.Results reveal that slow or strong kinetics(small value of Darnkohler number)increases solute dispersion.It is also observed.that for slow phase exchange kinetics between bulk flow and small retentive channel bed,solute concentration distribution will uniform faster than their inert counterpart.
