HR: 0800h
AN: S31B-1052 [Abstracts]
TI: CIP-MOC Modeling of Seismic Wave Propagation in Elastic Media
AU: * Yoshimi, M
EM: yoshimi.m@aist.go.jp
AF: Active Fault Research Center, Natinal Institute of Advanced Industrial Science and Technology, Site 7,
1-1-1 Higashi, Tsukuba, Ibaraki, 305-8567
Japan
AB:
In many fields such as hydrodynamics and MHD, the CIP method, an upwind difference hyperbolic equation solver, has widely
been employed for advection calculation. The CIP scheme was constructed considering that an advected property and its spatial
derivative follow same advection equation. This effects low numerical dispersion and relaxed CFL condition in the advection
calculation.
In the present work, we developed a CIP-MOC (CIP with method of characteristics) scheme for seismic wave propagation in 3D
elastic heterogeneous media with flat free surface. 3D elastic wave equations in velocity-stress formulation and their
spatial derivatives, as well, are converted into sets of 1D advection equations and non-advection equations for each
direction (x,y,z in Cartesian coodinate system) with the method of characteristics. Since the Riemann invariant of each
advection equation consists of stress and velocity, updatings of velocity and stress are simultaneous and a collocated grid
system is employed. A free surface is modeled as a zero-stress surface. A reflection free boundary is installed by
considering no incident wave comes from outside of the boundary. A double coupled seismic point source is introduced as
external point stresses.
Overall scheme is made up of multiphases employing time-splitting and directional-splitting techniques. Each time step is
composed of three directional updating phases each for wave propagation in x, y and z direction. Each directional updating
phase is made up of advection phase and non-advection phase. In the advection phase, advection equations are solved with the
CIP method. In the non-advection phases, non-advetion equations and boundary conditions are evaluated with central finite
differences.
We conducted CIP-MOC seismic wave propagation simulations in a half-space, layered and fully heterogeneous media for embedded
point source. By comparing our products with those produced with discrete wavenumber method and finite difference method, we
found that the newly developed scheme successfully calculated heterogeneous seismic wave propagations.
DE: 7255 Surface waves and free oscillations
DE: 7260 Theory and modeling
DE: 7203 Body wave propagation
DE: 7212 Earthquake ground motions and engineering
SC: Seismology [S]
MN: 2004 AGU Fall Meeting