DISCRETE WAVENUMBER SOLUTIONS TO NUMERICAL WAVE PROPAGATION IN PIECEWISE HETEROGENEOUS MEDIA - I. THEORY OF TWO-DIMENSIONAL SH CASE
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dc.contributor.author | Fu Li.Yu. | |
dc.contributor.author | Bouchon M. | |
dc.date.accessioned | 2022-09-22T08:19:12Z | |
dc.date.available | 2022-09-22T08:19:12Z | |
dc.date.issued | 2004 | |
dc.identifier | https://elibrary.ru/item.asp?id=6524290 | |
dc.identifier.citation | Geophysical Journal International, 2004, 157, 2, 481-498 | |
dc.identifier.issn | 0956-540X | |
dc.identifier.uri | https://repository.geologyscience.ru/handle/123456789/38685 | |
dc.description.abstract | A semi-analytical, semi-numerical method of seismogram synthesis is presented for piecewise heterogeneous media resulting from an arbitrary source. The method incorporates the discrete wavenumber Green's function representation into the boundary-volume integral equation numerical techniques. The presentation is restricted to 2-D antiplane motion (SH waves). To model different parts of the media to a necessary accuracy, the incident, boundary-scattering and volume-scattering waves are separately formulated in the discrete wavenumber domain and handled flexibly at various accuracies using approximation methods. These waves are accurately superposed through the generalized Lippmann-Schwinger integral (GLSI) equation. The full-waveform boundary method is used for the boundary-scattering wave to accurately simulate the reflection/transmission across strong-contrast boundaries. Meanwhile for volume heterogeneities, the following four flexible approaches have been developed in the numerical modelling scheme present here, with a great saving of computing time and memory: <list> <li> <p align=justify>the solution implicitly for the volume-scattering wave with high accuracy to model subtle effects of volume heterogeneities; </li> <li> <p align=justify>the solution semi-explicitly for the volume-scattering wave using the average Fresnel-radius approximation to volume integrations to reduce numerical burden by making the coefficient matrix sparser; </li> <li> <p align=justify>the solution explicitly for the volume-scattering wave using the first-order Born approximation for smooth volume heterogeneities; and </li> <li> <p align=justify>the solution explicitly for the volume-scattering wave using the second-order/high-order Born approximation for practical volume heterogeneities. | |
dc.subject | DISCRETE WAVENUMBER REPRESENTATION | |
dc.subject | GENERALIZED LIPPMANN-SCHWINGER INTEGRAL EQUATION | |
dc.subject | PIECEWISE HETEROGENEOUS MEDIA | |
dc.subject | 2-D SH WAVES | |
dc.subject | WAVE PROPAGATION | |
dc.title | DISCRETE WAVENUMBER SOLUTIONS TO NUMERICAL WAVE PROPAGATION IN PIECEWISE HETEROGENEOUS MEDIA - I. THEORY OF TWO-DIMENSIONAL SH CASE | |
dc.type | Статья |
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