Frequency-domain elastic-wave modeling for polygonal topography using rotated average-derivative difference operators
- 18 September 2020
- journal article
- research article
- Published by Springer Science and Business Media LLC in Acta Geophysica
- Vol. 68 (5), 1387-1409
- https://doi.org/10.1007/s11600-020-00481-6
Abstract
Modeling of seismic wave propagation in areas with irregular topography is an important topic in the field of seismic exploration. As a popular numerical method for seismic modeling, the finite difference method is nontrivial to consider the irregular free surface. There have been extensive studies on the time-domain finite difference simulations with irregular topography; however, the frequency-domain finite difference simulation considering irregular topography is relatively less studied. The average-derivative approach is an optimal numerical simulation scheme in the frequency domain, which can produce accurate modeling results at a relatively low computational cost. Nevertheless, this approach can only deal with the modeling problems with a flat free surface. To address this issue, we design a new frequency-domain finite difference scheme by introducing the polygonal representation of topography into the average-derivative method. The irregular topography is represented by line segments with various slopes. An extension of the conventional average-derivative difference operator in the local rotated coordinate system is used for formulating the spatial derivatives aligned with the topographic line segments. As a result, new average-derivative difference schemes are obtained for irregular topography. In this way, the average-derivative optimal method is generalized to the model with irregular topography. Numerical examples show the effectiveness of the presented method.Keywords
Funding Information
- National Natural Science Foundation of China (41874163, 41674132)
This publication has 21 references indexed in Scilit:
- Three-Dimensional Wave-Field Simulation in Heterogeneous Transversely Isotropic Medium with Irregular Free SurfaceBulletin of the Seismological Society of America, 2011
- 3D finite-difference frequency-domain modeling of visco-acoustic wave propagation using a massively parallel direct solver: A feasibility studyGeophysics, 2007
- 3D free‐boundary conditions for coordinate‐transform finite‐difference seismic modellingGeophysical Prospecting, 2002
- Discontinuous-Grid Finite-Difference Seismic Modeling Including Surface TopographyBulletin of the Seismological Society of America, 2001
- 2D surface topography boundary conditions in seismic wave modellingGeophysical Prospecting, 2001
- 3-D finite‐difference elastic wave modeling including surface topographyGeophysics, 1998
- A numerical free‐surface condition for elastic/viscoelastic finite‐difference modeling in the presence of topographyGeophysics, 1996
- 2D finite‐difference elastic wave modelling including surface topography1Geophysical Prospecting, 1994
- Frequency‐domain elastic wave modeling by finite differences: A tool for crosshole seismic imagingGeophysics, 1990
- SYNTHETIC SEISMOGRAMS: A FINITE ‐DIFFERENCE APPROACHGeophysics, 1976