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3D acoustic wave modelling with time-space domain dispersion-relation-based finite-difference schemes and hybrid absorbing boundary conditions
| Content Provider | Scilit |
|---|---|
| Author | Liu, Yang Sen, Mrinal K. |
| Copyright Year | 2011 |
| Abstract | Most conventional finite-difference methods adopt second-order temporal and (2M)th-order spatial finite-difference stencils to solve the 3D acoustic wave equation. When spatial finite-difference stencils devised from the time-space domain dispersion relation are used to replace these conventional spatial finite-difference stencils devised from the space domain dispersion relation, the accuracy of modelling can be increased from second-order along any directions to (2M)th-order along 48 directions. In addition, the conventional high-order spatial finite-difference modelling accuracy can be improved by using a truncated finite-difference scheme. In this paper, we combine the time-space domain dispersion-relation-based finite difference scheme and the truncated finite-difference scheme to obtain optimised spatial finite-difference coefficients and thus to significantly improve the modelling accuracy without increasing computational cost, compared with the conventional space domain dispersion-relation-based finite difference scheme. We developed absorbing boundary conditions for the 3D acoustic wave equation, based on predicting wavefield values in a transition area by weighing wavefield values from wave equations and one-way wave equations. Dispersion analyses demonstrate that high-order spatial finite-difference stencils have greater accuracy than low-order spatial finite-difference stencils for high frequency components of wavefields, and spatial finite-difference stencils devised in the time-space domain have greater precision than those devised in the space domain under the same discretisation. The modelling accuracy can be improved further by using the truncated spatial finite-difference stencils. Stability analyses show that spatial finite-difference stencils devised in the time-space domain have better stability condition. Numerical modelling experiments for homogeneous, horizontally layered and Society of Exploration Geophysicists/European Association of Geoscientists and Engineers salt models demonstrate that this modelling scheme has greater accuracy than a conventional scheme and has better absorbing effects than Clayton-Engquist absorbing boundary conditions. |
| Related Links | http://www.publish.csiro.au/eg/pdf/EG11007 |
| Ending Page | 189 |
| Page Count | 14 |
| Starting Page | 176 |
| ISSN | 08123985 |
| e-ISSN | 18347533 |
| DOI | 10.1071/eg11007 |
| Journal | Exploration Geophysics |
| Issue Number | 3 |
| Volume Number | 42 |
| Language | English |
| Publisher | Informa UK Limited |
| Publisher Date | 2011-09-01 |
| Access Restriction | Open |
| Subject Keyword | Acoustics and Ultrasonics Absorbing Boundary Conditions Dispersion-relation-based Finite Difference 3d Acoustic Wave Equation Time-space Domain Truncated Finite Difference. |
| Content Type | Text |
| Resource Type | Article |
| Subject | Geology Geophysics |
