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Elastic wave propagation using fully vectorized high order finite-difference algorithms

Vafeidis Antonios, Flavian Abramovici , Kanasewich, Ernest R

Πλήρης Εγγραφή


URI: http://purl.tuc.gr/dl/dias/11B6C8FC-FAAB-4687-B802-D0430F6413A5
Έτος 1992
Τύπος Δημοσίευση σε Περιοδικό με Κριτές
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Λεπτομέρειες
Βιβλιογραφική Αναφορά A. Vafidis, F. Abramovici and E. R. Kanasewich, "Elastic wave propagation using fully vectorized high order finite-difference algorithms", Geoph., vol. 57, no. 2, pp. 218-232, Feb. 1992. doi: 10.1190/1.1443235 https://doi.org/DOI: 10.1190/1.1443235
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Περίληψη

Two finite-difference schemes for solving the elastic wave equation in heterogeneous two-dimensional media are implemented on a vector computer. A modified Lax-Wendroff scheme that is second-order accurate both in time and space and is a version of the MacCormack scheme that is second-order accurate in time and fourth-order in space. The algorithms are based on the matrix times vector by diagonals technique that is fully vectorized and is described using a novel notation for vector supercomputer operations. The technique described can be implemented on a vector processor of modest dimensions and increase the applicability of finite differences. The two difference operators are compared and the programs are tested for a simple case of standing sinusoidal waves for which the exact solution is known and also for a two-layer model with a line source. A comparison of the results for an actual well-to-well experiment verifies the usefulness of the two-dimensional approach in modeling the results.

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