NUMERICAL SIMULATION OF GAS ATOM COORDINATE DISPERSION IN A MATHEMATICAL MODEL OF DEEP BLAST COMPACTION FOR SUBSIDENCE SOILS

Abstract

Within the framework of mathematical modeling of geological systems, applied inverse problems arise that require solutions. This paper presents approaches to constructing solutions (approximate and explicitly analytical) of boundary value problems describing the compaction of subsidence soils by the method of deep explosions. Numerical simulation of the dispersion of the coordinates of the gas atoms formed in the subsidence soil as a result of a deep explosion of a concentrated charge is carried out. Approximate solutions of the problem are constructed for soils with characteristic properties of isotropy and anisotropy for cases of complete absorption of gas atoms by the surrounding soil and complete reflection from it