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Data for this subject were re-interpolated into a 3D image matrix (matrix size 256×256).
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Both the depth matrixes and pressure matrixes are three-dimensional matrixes, and the matrix size is Nx × NY × NH.
The CV values were stored in the middle position of the kernel in a new matrix, the CV matrix, with the same matrix size as the reconstruction.
where H is the transform's output matrix, N is the matrix size, F is the feature vector, M indicates the applied statistical function, and b is the desired sequency band.
In our implementation, the FMM for the biharmonic equation is faster than direct matrix vector product for a matrix size of 550 for a relative L2 accuracy ϵ2 = 10−4, and N = 3550 for ϵ2 = 10−12.
Further, we prove that the condition numbers of diagonally preconditioned stiffness matrices are bounded independent of the matrix size.
Furthermore, we proved that the condition numbers of diagonally preconditioned stiffness matrices are bounded independent of the matrix size.
When unfavorable conditions such as heavy-oil, large matrix size, high IFT, low matrix permeability, oil-wet matrix and poorly connected fracture network exist in an oil reservoir, additional support to enhance the matrix oil recovery is inevitable.
For readability, we place the numerical results for these small sensing matrices in Appendix B. For each matrix size and type, we increased k from 1 to 5 in unit steps.
The values represent the mean of four independent measurements Fig. 5 Contrast recovery vs. background variability using CT-based AC shown for the four smallest spheres with 172x172 matrix size (hollow symbols) and 344x344 matrix size (solid symbols) and 4 mm Gaussian filter.
(d) Rectnoise experiment, matrix size 1000 × 1000.
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