Novel Approach to Modeling the Seismic Waves in the Areas with Complex Fractured Geological Structures
Abstract
:1. Introduction
2. Mathematical Model and Method
3. Boundary and Interface Conditions
4. Model of a Fracture
5. Results
5.1. The Response from a Single Fracture: Fixed Fracture Position
5.2. The Response from a Single Fracture: Comparison with Unstructured Mesh
5.3. The Response from a Single Fracture: Calculation Errors Due to the Angle of Inclination
5.4. Single Fracture Response: Amplitude Study
5.5. Single Fracture Response: Error Dependence on Grid Spacing
5.6. Response from a Cluster of Subvertical Fractures
6. Discussion and Conclusions
- Fairly quick calculation and simple implementation in a structural grid. The basic calculation algorithm does not change; the method is implemented as a “corrector” step.
- The ability to calculate inclined fractures on structural grids.
- The ability to build a fractured inhomogeneity of complex shape.
- The absence of the need to build an unstructured mesh, the binding of the grid to inhomogeneity.
- Fractures can be easily added at any place in the geological models.
- The disadvantages include:
- A rather large integral error.
- Substantial grid spacing reduction required to reduce error.
Author Contributions
Funding
Acknowledgments
Conflicts of Interest
References
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Grid Spacing, m | Grid Size | Time Steps | Time Step, s | Cells Per Wavelength | Calculation Time, s |
---|---|---|---|---|---|
1 | 2100 × 2100 | 5000 | 10−4 | ~46 | 1180 s |
2 | 1050 × 1050 | 2500 | 2 × 10−4 | ~23 | 157 s |
4 | 525 × 525 | 1250 | 4 × 10−4 | ~11 | 15 s |
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Khokhlov, N.; Stognii, P. Novel Approach to Modeling the Seismic Waves in the Areas with Complex Fractured Geological Structures. Minerals 2020, 10, 122. https://doi.org/10.3390/min10020122
Khokhlov N, Stognii P. Novel Approach to Modeling the Seismic Waves in the Areas with Complex Fractured Geological Structures. Minerals. 2020; 10(2):122. https://doi.org/10.3390/min10020122
Chicago/Turabian StyleKhokhlov, Nikolay, and Polina Stognii. 2020. "Novel Approach to Modeling the Seismic Waves in the Areas with Complex Fractured Geological Structures" Minerals 10, no. 2: 122. https://doi.org/10.3390/min10020122