On the Accuracy and Efficiency of Transient Spectral Element Models for Seismic Wave Problems

Abstract

This study concentrates on transient multiphysical wave problems for simulating seismic waves. The presented models cover the coupling between elastic wave equations in solid structures and acoustic wave equations in fluids. We focus especially on the accuracy and efficiency of the numerical solution based on higher-order discretizations. The spatial discretization is performed by the spectral element method. For time discretization we compare three different schemes. The efficiency of the higher-order time discretization schemes depends on several factors which we discuss by presenting numerical experiments with the fourth-order Runge-Kutta and the fourth-order Adams-Bashforth time-stepping. We generate a synthetic seismogram and demonstrate its function by a numerical simulation.

Simulation of three‐dimensional elastoacoustic wave propagation based on a Discontinuous Galerkin spectral element method

“…Finally, we choose ρ e =2.7, c P =6.20, c S =3.12, ρ a =1, and c =1 (cf. References ). The analytical expression of the exact solution is …”

A Bayesian-based approach to improving acoustic Born waveform inversion of seismic data for viscoelastic media

“…The acoustic wave equation can be derived as a special case of equation ( 1) by assuming the Swave velocity V s is zero (e.g., Cance and Capdeville, 2015;Mönkölä, 2016). In such a case, only the diagonal elements of the stress tensor σ are non-zero and equal to the negative pressure −p.…”

The Study of Seismic Response on Accelerated Contained Fluid

“…is the total impulsive (bending) moment, with respect to an axis orthogonal to the direction of the seismic action motion, immediately above the tank bottom and includes only the contributions of the pressures on the walls (see (7)). * is the total impulsive (overturning) moment immediately below the tank bottom and includes the contributions of the pressures on the walls and of those on the bottom (see (5)).…”

“…Seismic analysis of liquid-containing tanks requires special consideration and is different from analysis of buildings [4][5][6][7]. The fluid inside of tanks exerts hydrodynamic forces on the tank walls and base.…”