Grunnleggende konsepter
The proposed CCWSIM method combines the Discrete Wavelet Transform (DWT) with the Cross-Correlation Function (CCF) to efficiently simulate categorical variables in large-scale geological domains, achieving enhanced spatial continuity, data conditioning, and computational efficiency compared to existing methods.
Sammendrag
The paper introduces a new multiple-point statistics (MPS) simulation method called CCWSIM that combines the Discrete Wavelet Transform (DWT) and the Cross-Correlation Function (CCF) to address challenges in achieving simultaneous improvements in spatial continuity, data conditioning, and computational efficiency.
Key highlights:
- The method computes the DWT for both the Training Image (TI) and the Overlapping Region (OR) shared with previously simulated grids at a specific level of wavelet decomposition.
- The similarity between the wavelet approximation coefficients is measured using the CCF, which provides a compressed representation of the pattern while capturing its primary variations and essential characteristics.
- The best-matched pattern in the wavelet approximation coefficients is identified, and the original pattern can be perfectly reconstructed by integrating the DWT detail coefficients through an Inverse-DWT transformation.
- Experiments on diverse categorical TIs demonstrate simulations comparable to multi-scale CCSIM (MS-CCSIM), with enhanced facies connectivity and pattern reproduction.
- The proposed method achieves significant computational efficiency gains, particularly when transitioning from the first level of DWT decomposition to the second.
- The method is capable of handling conditional simulations, multi-facies TIs, and exhibits some challenges in simulating non-stationary TIs.
Statistikk
The paper does not provide specific numerical data or metrics to support the key logics. However, it presents qualitative and comparative results through various test cases and benchmarking against the MS-CCSIM algorithm.
Sitater
The paper does not contain any striking quotes that directly support the key logics.