Прямая динамическая задача сейсмики для горизонтально слоистых сред

A method of numerical solving the elasticity system for horizontal stratified anisotropic media is presented. The algorithm uses a relation between a system of differential equation of second order and a differential matrix Riccati equation which admits a solution in an analytical form in the each layer. The proposed numerical method differs from known methods and can be applied for horizontal stratified media of any type.