Wave-equation dispersion inversion

Wave-equation traveltime inversion

This paper presents a new traveltime inversion method based on the wave equation. In this new method, designated as wave-equation traveltime inversion (WT), seismograms are computed by any full-wave forward modeling method (we use a finitedifference method). The velocity model is perturbed until the traveltimes from the synthetic seismograms are best fitted to the observed traveltimes in a leas...

Pointwise Fourier Inversion: a Wave Equation Approach

1. A general criterion for pointwise Fourier inversion 2. Pointwise Fourier inversion on R n (n = 3) 3. Fourier inversion on R 2 4. Fourier inversion on R n (general n) 5. Fourier inversion on spheres 6. Fourier inversion on complex projective space, and variants 7. Fourier inversion on hyperbolic space, and variants 8. Fourier inversion on strongly scattering manifolds 9. Hermite expansions an...

Joint Inversion of Receiver Functions and Surface-wave Dispersion

Teleseismic P-wave receiver functions and surface-wave dispersion measurements can be employed to simultaneously infer the shear-wave velocity distribution with depth in the lithosphere. Receiver functions are primarily sensitive to shear-wave velocity contrasts and vertical travel times and surface-wave dispersion measurements are sensitive to vertical shear-wave velocity averages, so that the...

Rayleigh Wave Dispersion Curve Inversion: Occam Versus the L1-Norm

Dispersion Evaluation In Optical Wave Guides

One of the factors which limits the transmission capacity of the fiber optics communication channel is the material dispersion. Exact analytical study of the material dispersion is often complex and involves calculating the derivatives of the refractive index of the core. These calculations are too cumbersome to do, especially for high-order derivatives. So material dispersion has only been stu...