Efficient calculation of complete differential seismograms for laterally homogeneous earth models

Complete synthetic seismograms for 3-D heterogeneous Earth models computed using modified DSM operators and their applicability to inversion for Earth structure

Ž . We compute complete including both body and surface waves synthetic seismograms for laterally and vertically Ž . heterogeneous Earth models using the Direct Solution Method DSM . We use the optimally accurate modified operators w derived by Geller and Takeuchi Geller, R.J., Takeuchi, N., 1995. A new method for computing highly accurate DSM x w synthetic seismograms. Geophys. J. Int. 123, 44...

Calculation of Synthetic Seismograms with Gaussian Beams

In this paper, an overview of the calculation of synthetic seismograms using the Gaussian beam method is presented accompanied by some representative applications and new extensions of the method. Since caustics are a frequent occurrence in seismic wave propagation, modifications to ray theory are often necessary. In the Gaussian beam method, a summation of paraxial Gaussian beams is used to de...

Compressible viscoelasticity: stability of solutions for homogeneous plane-Earth models

An efficient Born normal mode method to compute sensitivity kernels and synthetic seismograms in the Earth

S U M M A R Y We present an alternative to the classical mode coupling method scheme often used in global seismology to compute synthetic seismograms in laterally heterogeneous earth model and Frechet derivatives for tomographic inverse problem with the normal modes first-order Born approximation. We start from the first-order Born solution in the frequency domain and we use a numerical scheme ...

Bernoulli matrix approach for matrix differential models of first-order

The current paper contributes a novel framework for solving a class of linear matrix differential equations. To do so, the operational matrix of the derivative based on the shifted Bernoulli polynomials together with the collocation method are exploited to reduce the main problem to system of linear matrix equations. An error estimation of presented method is provided. Numerical experiments are...