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《least squares reverse time migration》.pdf
/ Least-Squares Reverse-Time Migration
g
r Gang Yao* and Helmut Jakubowicz, Imperial College London
o
.
g
e
s. Summary where is the modeled wavefield, is the Greens
y
r function, is the source signature, is position, is the
a
r We present a matrix-based implementation of least-squares source location, and is angular frequency. The recorded
b
i
l reverse-time migration in which the predicted data are data, , are then back-propagated into the subsurface using
/
/
: generated using a modified source wavelet. We also show
p the adjoint of the modeling operator, , giving
t
t that the combination of the least-squares formulation and
h
t reverse-time migration leads to an estimate of the
a ( | ) ( )
(,)= ; , . (2)
e reflectivity which is consistent with a deconvolution
s
U imaging condition; this in turn provides higher-resolution The imaging step generates an estimate of the reflectivity,
f
o and more accurate amplitudes than conventional reverse- (), by relating and to each other at all points in the
s
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