Geophysical Prospecting · 1987 · 114 citations · 9 references
Natural SciencesEarth SciencesGeophysicsComputational AcousticsComputational MechanicsSeismologyAcoustic ModelingNumerical AcousticsPropagation ModelingSeismic Wave PropagationTime IntegrationTime Integration SchemesAccuracyChebyshev ApproximationChebyshev PolynomialsDifferencingSeismic Forward ModelingSeismic ModelingWave Equation ExpansionsWave Propagation Modeling
ABSTRACT A new time integration technique for use in forward modelling programmes is introduced. The technique presents an alternative to second‐order temporal differencing. It is based on a Chebyshev expansion of the formal evolution operator to the spatially discretized wave equation. The computational effort in forward modelling based on the new technique is about the same as in methods based on temporal differencing. However, machine accuracy can be obtained. The implementation of the technique to solve the acoustic wave equation in two spatial dimensions is described. Finally, an example of using the technique to solve a problem of wave propagation in a single layer is presented.
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Quantitative seismology, theory and methods
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