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Higher Order FDTD Seismic Modelling Using the Staggered Adams-Bashforth Time Integrator

Bohlen, T.; Wittkamp, F.

Abstract:

Today, full wavefield seismic imaging and full waveform inversion require the efficient and accurate numerical simulation of seismic waves through complex earth models. For this purpose higher-order Finite- difference (FD) methods are widely applied where the wave equation is discretized in both space and time. In this work we analyze the performance of a higher order accurate staggered Finite-Difference Time Domain (FDTD) method, in which the Adams-Bashforth third-order (M=3) and fourth-order (M=4) accurate time integrators are used for temporal discretization. The analysis shows that the numerical dispersion is much lower than that of the widely used second-order leapfrog method. Numerical dissipation is introduced by the ABS method which is significantly smaller for the ABS method of fourth-order accuracy. The ABS method does not require much additional floating point operations but the additional storage of M-1 perviously calculated time-levels of spatial derivative wave fields. In different simulation experiments we verify the convincing improvements of simulation accuracy of the fourth-order ABS method by comparisons with analytical solutions. ... mehr


Originalveröffentlichung
DOI: 10.3997/2214-4609.201412836
Zugehörige Institution(en) am KIT Geophysikalisches Institut (GPI)
KIT-Zentrum Klima und Umwelt (ZKU)
Publikationstyp Proceedingsbeitrag
Publikationsjahr 2015
Sprache Englisch
Identifikator KITopen-ID: 1000054313
Erschienen in 77th EAGE Conference and Exhibition 2015, Madrid, Spain, 1 - 4 June 2015
Nachgewiesen in Dimensions
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