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Tomographic full waveform inversion (TFWI) by combining full waveform inversion with wave-equation migration velocity analysis
Biondo Biondi and Ali Almomin
Abstract:
By extending the velocity-model domain to subsurface offsets
we solve the local-minima problem of data-fitting waveform inversion.
We then regularize the extended-model data-fitting inversion
with the addition of an image-focusing term to the objective
function,
therefore achieving robust global convergence of
the waveform inversion problem.
The method shares with full waveform inversion the advantage of
simultaneously solving for all the wavelengths of the model,
but it also has the global convergence characteristics of
wave-equation migration velocity analysis.
Numerical implementation of the proposed inversion
method requires the solution
of an extended wave-equation where velocity is a convolutional,
instead of scalar, operator.
The resulting method is therefore computationally intensive,
but it can be easily tested in 2D.
A simple example with a Gaussian velocity anomaly illustrates how
the reflections from the anomaly recorded in the low-frequency components
of the data increase the spatial resolution of the final inversion results.
Numerical tests performed on synthetic data
from a modified Marmousi model demonstrate
the global convergence as well the high-resolution potential of the
method.
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2012-05-10