Optimal Absorbing Boundary Conditions For Finite Difference Modeling Of Acoustic And Elastic Wave Propagation
An optimal absorbing boundary condition is designed to model acoustic and elastic wave propagation in 2D and 3D media using the finite difference method. In our method, extrapolation on the artificial boundaries of a finite difference domain is expressed as a linear combination of wave fields at...
| Главные авторы: | , |
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| Другие авторы: | |
| Формат: | Technical Report |
| Опубликовано: |
Massachusetts Institute of Technology. Earth Resources Laboratory
2012
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| Online-ссылка: | http://hdl.handle.net/1721.1/75207 |
| _version_ | 1826210949458034688 |
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| author | Peng, Chengbin Toksoz, M. N. |
| author2 | Massachusetts Institute of Technology. Earth Resources Laboratory |
| author_facet | Massachusetts Institute of Technology. Earth Resources Laboratory Peng, Chengbin Toksoz, M. N. |
| author_sort | Peng, Chengbin |
| collection | MIT |
| description | An optimal absorbing boundary condition is designed to model acoustic and elastic wave
propagation in 2D and 3D media using the finite difference method. In our method,
extrapolation on the artificial boundaries of a finite difference domain is expressed as
a linear combination of wave fields at previous time steps and/or interior grids. The
acoustic and elastic reflection coefficients from the artificial boundaries are derived.
They are found to be identical with the transfer functions of two cascaded systems: one
is the inverse of a causal system and the other is an anticausal system. This method
makes use of the zeros and poles of reflection coefficients in a complex plane. The
optimal absorbing boundary condition designed in this paper yields about 10 dB smaller
in magnitude of reflection coefficients than Higdon's absorbing boundary condition, and
around 20 dB smaller than Reynolds' absorbing boundary condition. This conclusion is
supported by a simulation of elastic wave propagation in a 3D medium on an nCUBE
parallel computer. |
| first_indexed | 2024-09-23T14:57:59Z |
| format | Technical Report |
| id | mit-1721.1/75207 |
| institution | Massachusetts Institute of Technology |
| last_indexed | 2024-09-23T14:57:59Z |
| publishDate | 2012 |
| publisher | Massachusetts Institute of Technology. Earth Resources Laboratory |
| record_format | dspace |
| spelling | mit-1721.1/752072019-04-10T18:05:09Z Optimal Absorbing Boundary Conditions For Finite Difference Modeling Of Acoustic And Elastic Wave Propagation Peng, Chengbin Toksoz, M. N. Massachusetts Institute of Technology. Earth Resources Laboratory Peng, Chengbin Toksoz, M. N. An optimal absorbing boundary condition is designed to model acoustic and elastic wave propagation in 2D and 3D media using the finite difference method. In our method, extrapolation on the artificial boundaries of a finite difference domain is expressed as a linear combination of wave fields at previous time steps and/or interior grids. The acoustic and elastic reflection coefficients from the artificial boundaries are derived. They are found to be identical with the transfer functions of two cascaded systems: one is the inverse of a causal system and the other is an anticausal system. This method makes use of the zeros and poles of reflection coefficients in a complex plane. The optimal absorbing boundary condition designed in this paper yields about 10 dB smaller in magnitude of reflection coefficients than Higdon's absorbing boundary condition, and around 20 dB smaller than Reynolds' absorbing boundary condition. This conclusion is supported by a simulation of elastic wave propagation in a 3D medium on an nCUBE parallel computer. ERL/nCUBE Geophysical Center for Parallel Processing 2012-12-04T16:54:09Z 2012-12-04T16:54:09Z 1993 Technical Report http://hdl.handle.net/1721.1/75207 Earth Resources Laboratory Industry Consortia Annual Report;1993-10 application/pdf Massachusetts Institute of Technology. Earth Resources Laboratory |
| spellingShingle | Peng, Chengbin Toksoz, M. N. Optimal Absorbing Boundary Conditions For Finite Difference Modeling Of Acoustic And Elastic Wave Propagation |
| title | Optimal Absorbing Boundary Conditions For Finite Difference Modeling Of Acoustic And Elastic Wave Propagation |
| title_full | Optimal Absorbing Boundary Conditions For Finite Difference Modeling Of Acoustic And Elastic Wave Propagation |
| title_fullStr | Optimal Absorbing Boundary Conditions For Finite Difference Modeling Of Acoustic And Elastic Wave Propagation |
| title_full_unstemmed | Optimal Absorbing Boundary Conditions For Finite Difference Modeling Of Acoustic And Elastic Wave Propagation |
| title_short | Optimal Absorbing Boundary Conditions For Finite Difference Modeling Of Acoustic And Elastic Wave Propagation |
| title_sort | optimal absorbing boundary conditions for finite difference modeling of acoustic and elastic wave propagation |
| url | http://hdl.handle.net/1721.1/75207 |
| work_keys_str_mv | AT pengchengbin optimalabsorbingboundaryconditionsforfinitedifferencemodelingofacousticandelasticwavepropagation AT toksozmn optimalabsorbingboundaryconditionsforfinitedifferencemodelingofacousticandelasticwavepropagation |