摘要The two one-state-variable, rate- and state-dependent friction laws, i.e., the slip and slowness laws, are compared on the basis of dynamical behavior of a one-degree-of-freedom spring-slider model through numerical simulations. Results show that two (normalized) model parameters, i.e., Δ (the normalized characteristic slip distance) and β-α (the difference in two normalized parameters of friction laws), control the solutions. From given values of Δ, β, and α, for the slowness laws, the solution exists and the unique non-zero fixed point is stable when Δ>(β-α), yet not when Δ<(β-α). For the slip law, the solution exists for large ranges of model parameters and the number and stability of the non-zero fixed points change from one case to another. Results suggest that the slip law is more appropriate for controlling earthquake dynamics than the slowness law.
Abstract:The two one-state-variable, rate- and state-dependent friction laws, i.e., the slip and slowness laws, are compared on the basis of dynamical behavior of a one-degree-of-freedom spring-slider model through numerical simulations. Results show that two (normalized) model parameters, i.e., Δ (the normalized characteristic slip distance) and β-α (the difference in two normalized parameters of friction laws), control the solutions. From given values of Δ, β, and α, for the slowness laws, the solution exists and the unique non-zero fixed point is stable when Δ>(β-α), yet not when Δ<(β-α). For the slip law, the solution exists for large ranges of model parameters and the number and stability of the non-zero fixed points change from one case to another. Results suggest that the slip law is more appropriate for controlling earthquake dynamics than the slowness law.
基金资助:Academia Sinica (Taipei) and Science Council (Grant NSC96-2116-M-001-012-MY3)
通讯作者:
Jeen-Hwa Wang
E-mail: jhwang@earth.sinica.edu.tw
引用本文:
Jeen-Hwa Wang. A numerical study of comparison of two one-state- variable, rate- and state-dependent friction evolution laws[J]. 《地震学报》英文版, 2009, 22(2): 197-204.
Jeen-Hwa Wang. A numerical study of comparison of two one-state- variable, rate- and state-dependent friction evolution laws. Earthquake Science, 2009, 22(2): 197-204.