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Abstract

Summary

In this work the analytical wavefield is extrapolated in time using the one-step extrapolated exponential matrix method. The method is based on the solution of a first order differential wave equation and it employs the Chebyshev polynomial expansion to approximate the exponential of the matrix and besides of being unconditional stable, it propagates waves free of numerical dispersion noise and it is able to extrapolate waves in time using a time step up to Nyquist’s limit. Using an analytical wavefield we can therefore separate the wavefield into up- and down- going source and receiver wavefields for each time step in an explicit way. Employing a causal imaging condition, through a synthetic example, we demonstrate the effectiveness of this new imaging condition without applying a Laplacian filter. The RTM result shows that it can successfully remove the low-frequency noise which is common in the traditional cross-correlation imaging condition.

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/content/papers/10.3997/2214-4609.201601372
2016-05-30
2024-04-20

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http://instance.metastore.ingenta.com/content/papers/10.3997/2214-4609.201601372
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Reverse Time Migration (RTM) Using Analytical Wavefield and Causal Imaging Condition
Conference Proceedings 2016, 1 (2016); https://doi.org/10.3997/2214-4609.201601372
/content/papers/10.3997/2214-4609.201601372
/content/papers/10.3997/2214-4609.201601372
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