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《Non-Linear Least-Squares Reverse-Time Migration》.pdf
/ Non-Linear Least-Squares Reverse-Time Migration
g
r Gang Yao* and Helmut Jakubowicz, Imperial College London
o
.
g
e
s. Summary source location, and is angular frequency. The recorded
y
r data, , are then back-propagated into the subsurface using
a
r We present a new implementation of least-squares reverse- the adjoint of the modeling operator, , giving
b
i
l time migration which accounts for the non-linear
/
/
: relationship between the data and reflectivity. As with
p ( | ) ( )
(,)= ; , . (2)
t
t other least-squares migration methods, the key feature of
h
t this approach is that it uses an approximation for the
a The imaging step generates an estimate of the reflectivity,
e inverse of the modeling operator instead of its adjoint. (), by relating and to each other at all points in the
s
U However, in applying reverse-time migration, the two-way
f subsurface. This is usually done by correlating the
o wave equation is used, which in turn
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