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is matrix stack operator, is matrix transpose, is Hermitian operation, is complex conjugate, denotes the trace of a matrix, is Frobenius norm, ( is vector norm), denotes the Kronecker product, denotes identity matrix, and defines new symbols.
Fluctuations of interval velocities of up to ±100 m/s from the gradient model produce the reflections in the CMP gather Open image in new window Fig. 11 a Stacked section obtained by the FO-CDS stack operator and b stacked section obtained by the data-driven CDS stack.
Thus, the conflicting dips will be treated well by the CDS stack operator.
Figure 2c, shows the green CRS stack operator compared to the conventional CMP stack in Fig. 2a.
This method is based on improving the CDS stack operator, with the idea of partial common reflection surface stack.
The FO-CDS stack operator brought more energy in the stacked section that might not be taken into account by other methods.
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By testing concepts on paper I came up with a 'noun' stack (operators like numbers and variable names) and 'verb' stack (every other element in the syntax chart).
A time variant linear function defines the offset range for each zero offset sample in the stacking operator.
But it is not the case for stacking operator definition.
However, the data-driven CDS stack approach is time-consuming due to separate stacking operator definition for each angle.
c The CRS stacking operator (green) in (t, x. h) domain related to red line on the reflector in depth.
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