Higher-Order Grid-Characteristic Schemes for the Acoustic System

Abstract

The seismic survey process is the common technology nowadays for obtaining the correct information about the internal structure of oil and gas deposits. It relies on the seismic wave propagation inside the heterogeneous geological massif, their diffraction, backscattering, etc. To reduce estimation errors direct acoustic problems should be solved as precise as possible. In this work we successfully constructed novel high-order schemes for the numerical solution of the acoustic system. It is based on the method of splitting two-dimensional system along coordinate directions. To keep the approximation order achieved for the one-dimensional problem a special technique was used. We presented test results obtained with the smooth initial data.