Выпуск: 4 , Том: 31 , Год издания: 2013

Contrary to the Cauchy and Poisson classical seismic theory of the continuum, the new theory for structured (also called porous, fractured, or blocked) media must contain several degrees of freedom. This fact is evident because elementary blocks (grains) may transfer the motion by contact interaction, by rotation, and by group of particles. Therefore, the energy content is not only contained within the first spatial derivatives (strains), but the potential energy content is within the second (curvatures) and other higher order spatial derivatives. Thus, the equation of motion of porous media should contain higher order spatial derivatives, and may even contain infinite order spatial derivatives