AbsIracL lhis paper describes a closed cycle of mathematical modelling of wave propagation processes. The half-space z > 0 is assumed to be filled with a verticallyinhomogeneous medium with the wave propagation velacity =(;). A source located on lhe free surface z = 0 causes the wave process U ( z , y , z , t), described by the initial boundary value problem for the wave equation.We consider two main problems: (1) Assuming c.(z) is lmown for all z, we wish to calculate the wave field U ( z , y , z , t ) ; (2) If ~( z )

No abstract