A lattice method for seismic wave propagation in nonlinear viscoelastic media
| Autor: | Gareth S. O'Brien |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Physics
010504 meteorology & atmospheric sciences Wave propagation Mechanics 010502 geochemistry & geophysics 01 natural sciences Viscoelasticity Nonlinear system Geophysics Geochemistry and Petrology Seismic wave propagation Lattice multiplication 0105 earth and related environmental sciences Computational seismology |
| Zdroj: | Geophysical Journal International. 224:1572-1587 |
| ISSN: | 1365-246X 0956-540X |
| DOI: | 10.1093/gji/ggaa537 |
| Popis: | SUMMARYNonlinear wave propagation is an important consideration in several geophysical problems as heterogeneities within the subsurface give rise to nonlinear stress–strain relationships in rocks. To address these problems, where the inclusion of subsurface complexity is accounted for, numerical solutions are required. Here, we outline a discrete particle or lattice numerical method that can simulate dynamic and static deformation in an isotropic viscoelastic nonlinear medium where the nonlinearity includes the fourth-order elastic tensor coefficients. The relationship between the local interaction constants in the lattice method and the macroscopic nonlinear coefficients is derived and the relationships presented. The theoretical dispersion properties of the system is determined from a nonlinear perturbation method and are validated against some numerical results. There is an excellent agreement between the theory and numerical results and the method reproduces the common features of nonlinear wave propagation, for example, harmonics, waveform distortion and spectra shifts. As expected the system is shown to be dependent on the wave amplitudes and an example is presented which shows the complexity that can arise in both dynamic and static deformation in a complex model where nonlinearity is included. |
| Databáze: | OpenAIRE |
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