Modeling Of Elastic Wave Propagation On Irregular Triangular Grids Using A Finite-Volume Method
We present a finite-volume method for the modeling of wave propagation on irregular triangular grids. This method is based on an integral formulation of the wave equation via Gauss's theorem and on spatial discretization via Delaunay and Dirichlet tessellations. We derive the equations for bo...
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| Format: | Technical Report |
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Massachusetts Institute of Technology. Earth Resources Laboratory
2012
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| Online Access: | http://hdl.handle.net/1721.1/75329 |
| _version_ | 1826207615883935744 |
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| author | Nolte, Bertram |
| author2 | Massachusetts Institute of Technology. Earth Resources Laboratory |
| author_facet | Massachusetts Institute of Technology. Earth Resources Laboratory Nolte, Bertram |
| author_sort | Nolte, Bertram |
| collection | MIT |
| description | We present a finite-volume method for the modeling of wave propagation on irregular
triangular grids. This method is based on an integral formulation of the wave equation
via Gauss's theorem and on spatial discretization via Delaunay and Dirichlet tessellations. We derive the equations for both SH and P-SV wave propagation in 2-D. The
method is of second-order accuracy in time. For uniform triangular grids it is also
second-order accurate in space, while the accuracy is first-order in space for nonuniform
grids.
This method has an advantage over finite-difference techniques because irregular
interfaces in a model can be represented more accurately. Moreover, it may be computationally more efficient for complex models. |
| first_indexed | 2024-09-23T13:52:19Z |
| format | Technical Report |
| id | mit-1721.1/75329 |
| institution | Massachusetts Institute of Technology |
| last_indexed | 2024-09-23T13:52:19Z |
| publishDate | 2012 |
| publisher | Massachusetts Institute of Technology. Earth Resources Laboratory |
| record_format | dspace |
| spelling | mit-1721.1/753292019-04-11T08:20:45Z Modeling Of Elastic Wave Propagation On Irregular Triangular Grids Using A Finite-Volume Method Nolte, Bertram Massachusetts Institute of Technology. Earth Resources Laboratory Nolte, Bertram We present a finite-volume method for the modeling of wave propagation on irregular triangular grids. This method is based on an integral formulation of the wave equation via Gauss's theorem and on spatial discretization via Delaunay and Dirichlet tessellations. We derive the equations for both SH and P-SV wave propagation in 2-D. The method is of second-order accuracy in time. For uniform triangular grids it is also second-order accurate in space, while the accuracy is first-order in space for nonuniform grids. This method has an advantage over finite-difference techniques because irregular interfaces in a model can be represented more accurately. Moreover, it may be computationally more efficient for complex models. United States. Air Force. Technical Applications Center (Contract FI9628-95-C-0091) United States. Air Force Research Laboratory (Contract FI9628-95-C-0091) Massachusetts Institute of Technology. Earth Resources Laboratory. Reservoir Delineation Consortium 2012-12-10T19:12:04Z 2012-12-10T19:12:04Z 1996 Technical Report http://hdl.handle.net/1721.1/75329 Earth Resources Laboratory Industry Consortia Annual Report;1996-10 application/pdf Massachusetts Institute of Technology. Earth Resources Laboratory |
| spellingShingle | Nolte, Bertram Modeling Of Elastic Wave Propagation On Irregular Triangular Grids Using A Finite-Volume Method |
| title | Modeling Of Elastic Wave Propagation On Irregular Triangular Grids Using A Finite-Volume Method |
| title_full | Modeling Of Elastic Wave Propagation On Irregular Triangular Grids Using A Finite-Volume Method |
| title_fullStr | Modeling Of Elastic Wave Propagation On Irregular Triangular Grids Using A Finite-Volume Method |
| title_full_unstemmed | Modeling Of Elastic Wave Propagation On Irregular Triangular Grids Using A Finite-Volume Method |
| title_short | Modeling Of Elastic Wave Propagation On Irregular Triangular Grids Using A Finite-Volume Method |
| title_sort | modeling of elastic wave propagation on irregular triangular grids using a finite volume method |
| url | http://hdl.handle.net/1721.1/75329 |
| work_keys_str_mv | AT noltebertram modelingofelasticwavepropagationonirregulartriangulargridsusingafinitevolumemethod |