A numerical study of comparison of two one-state-variable, rate- and state-dependent friction evolution laws

• 来源期刊: 地震学报（英文版）
• 学科: 地球科学
• 年，卷（期）: 2009,（2）
• 页码范围: 197-204
• 页数: 8页
• 分类号: P315.8
• 语种: 英文
• DOI: 10.1007/s11589-009-0197-9

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., △(the normalized characteristic slip distance) and β-α (the difference in two normalized parameters of friction laws), control the solutions. From given values of △, β, and α, for the slowness laws, the solution exists and the unique non-zero fixed point is stable when △>(β-α), yet not when △<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.