The Pseudo-analytical Method: Application of Pseudo-Laplacians to Acoustic And Acoustic Anisotropic Wave Propagation

摘要: Summary We generalize the pseudo-spectral method for acoustic wave equation to create analytical solutions constant velocity in an arbitrary number of space dimensions. accomplish this by modifying Fourier Transform Laplacian operator so that it compensates exactly error due second-order finite-difference time marching scheme used conventional method. Of more practical interest, we show modified or pseudo-Laplacian is a smoothly varying function parameters (velocity most importantly) and thus can be further generalized near-analyticallyaccurate variable case. call new pseudo-analytical applying approach concept anisotropic propagation, scalar-mode VTI TTI equations overcome disadvantages previously published methods propagation. These should ideal forward modeling reverse migration applications.