Energy storage and geo-massif fracture

Since a defective body does not satisfy the condition of compatibility, the intrinsic metric of continuum with the field of defects is non-Riemannian. This causes the problem of energy flux determination in a real inhomogeneous deformed body. The energy flux is the key parameter of geomechanics, the continuum of which is essentially non-uniform.We consider the intrinsic metric of the deformed continuum as a Finslerian E3×E3E3×E3 with the metric tensor gij(x,ẋ)=gij(x,ξ).Taking into account the main properties of the Finsler space, we can find the metric as a Hamiltonian function. We can build the continuous field of the rays propagation directions because the energy of a deformed body is arbitrary. The continuity is very important from the physical point of view because the real energy flux starts only on the source and stops on the sink.The energy flux can be evaluated through the Umov–Pointing vector. The direction of this vector can be received as a normal to the equienergetic surface. For the arbitrary metric, this surface is the indicatrix. Taking into account non-symmetry of orthogonality in the Finsler space, we can determine the excess of storage energy.