The method of calculation of the geophysical fields in piecewise homogeneous media
В. Н. Кризский · Izvestiya Physics of the Solid Earth · 2009
Recurrent algorithms for solving 3D direct problems on the distribution of geophysical fields in the piecewise-homogeneous media are built, based on methods of integral transforms, integral representations, and integral equations. The algorithms allow the recalculation of Green’s functions of one medium into Green’s function of another medium. The computational procedure is applicable to problems with equations of elliptic, parabolic, hyperbolic, and mixed types. The algorithms can be split and implemented on computing clusters and multiprocessor complexes. Inverse problems and algorithms of searching for boundaries of piecewise-homogeneous media as extremals of the Tikhonov regulating functional, approximated by the spline functions, are formulated.