Abstract
It is known that the conventional finite-difference (FD) stencils for time and space derivatives are designed in the space and time domains independently. While conventional FD coefficients based on Taylor-series expansion are difficult to satisfy the time-space domain dispersion relation exactly when used to solve wave equations. Our goal is to improve the accuracy of FD method in acoustic tilted transversely isotropic (TTI) media without increasing the computational cost. Actually, there is no essential difference between TTI media and VTI media. The acoustic wave equations in TTI media can retrogress to VTI media under certain conditions. We have adopt the time-space domain second-order FD coefficients for 2D acoustic TTI wave equations. Dispersion analysis and modelling results under the same discretization reveal that the new method requires the same computation time and memory as the conventional FD method but attains a greater accuracy.
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