Acoustic logging modelling by refined biot's equations

摘要

An explicit uniform divergent finite difference scheme conserving energy for the refined Biot's equations is proposed. This system is modified according to the modern theory of dynamic permeability and tortuosity in a fluid-saturated elastic porous media. The approximate local boundary transparency conditions are constructed. The acoustic logging device is simulated by the choice of an appropriate boundary conditions on it external surface. This scheme and these conditions are satisfactory for numerical modelling of an acoustic logging in a real axial- symmetrical situation. The developed approach can be adapted to the special technique creation for a non-symmetric case also.