Modeling of seismic-acoustic fields in axially symmetric absorbing mediums. Problem statement

The problem statement of modeling of seismic prospecting in viscoelastic mediums for various emitter types is considered. The modified Biot’s equations describing a propagation of acoustic waves in isotropic porous viscoelastic medium, saturated with a viscous compressible fluid, are proposed. Problem statement of numerical modeling of acoustic logging in a borehole, filled with a compressible fluid, in axially symmetric case for multipole emitters, located on the borehole axis, is also formulated. The new effective method is suggested for the solution of acoustic equations in a viscous fluid for explicit finite-difference schemes. The enough effective conditions of transparency on exterior boundary of calculation region are offered.