Plane and spherical waves in a Voigt medium

Analysis of displacement and strain relations for an existing solution of the plane Voigt wave equation indicates a behavior that may approximate field behavior of rocks near explosive sources more nearly than elastic waves for some frequencies. The peak strain for a plane Voigt wave is found to decay approximately as the distance χ−0.5. Pulse length also increases with distance. Displacement is nonoscillatory, increasing to a fixed value with time. A real time integral solution for the spherical Voigt equation is obtained by using Laplace transforms and appropriate operational procedures. This integral solution appears to be amenable to numerical evaluation by computer methods.