уравнение эйконала

A New Approach to the Derivation of Eikonal for Inhomogeneous Anisotropic Elastic Media

The proposed new approach to seismic radiation, is based on fixing the amplitude of the displacement vector, reduce them to a system of implicit functions. This allows you to find the functional dependence between the time of arrival of the waves and spatial coordinates. The system of vector equations. The eigenvalues of the matrix in the system are the equations of eikonal. It is shown that for arbitrarily anisotropic and heterogeneous elastic medium, the maximum number of equations eikonal equal to three.