Localization and Large Deformation Numerical Modeling of Slow-Slip Events Cause and Earthquake Rupture Predictions(Early Steps for Structural Behavior Simulation of the Earth Crust as a Coupled Whole)

Abstract:

By two key elements, in numerical modeling and computational geotechnical science-engineering, a broad review is presented.The aim of the paper is to deal with these two key tools, for slow-slip simulation and earthquake prediction, included uncertainty, large deformation, softening, dilation due to shear strain, moving boundaries of domain and localization in fracture mechanics. Considerable emphasis is given to the methods for the solution of boundary and initial uncertain problems such a fault as fractured zone(domain) and the plates of boundaries with large scale, large deformation (nonlinear material and geometry), 3D and time dependent constitutive equations.
The existing modeling tools cannot provide adequate support for modeling of such complex mechanism as slow-slip and earthquake and a new approach to be developed. Computational modeling as a network of activities on processes (the state of-the-art in modeling) is applicable to complex problem if integrate the relevant modeling paradigm whit: objective-oriented approach and knowledge-wisdom science-engineering based management modeling paradigm.
Under the stress path (Δσ) and stress level (σ₀) conditions at a point, also the temperature and pore pressure (location of the fracturing point in fault domain), the material properties for deformation and failure are variable. By Amir Shahkarami model (1997), mechanical properties of material (Δσ=DΔε) could be classified in five different stages as, elastic (1), hardening-plastic(2), perfect plastic (3), softening plastic (localization) (4), and fracturing(5). The analyses deal with transient state (Δf_t=KΔδ+cδ^.) for third stage (perfect plastic) that slow-slip appears. Then softening and localization follows slow-slip events penetrate in to locked zone or substituted by softening and dynamic state as earthquake phenomenon. 

Keywords: localization, Large deformation, Large scale effects, slow-slip, viscous elastoplastic constitutive, objective oriented approach and numerical modeling paradigm