f Mathematical modelling of some geoelectrical fields in archaeological exploration

The geoelectrical fields observed on rugged topography (necropolis) are considerably complicated by the effect of unevenness of the earth's surface. This effect can be eliminated in geophysical interpretation. For solving the inverse problem of geoelectrical investigation in archaeological exploration it is necessary to determine the subsurface electrical conductivity . In working out of methods for the inverse problem solution, it is assumed that the electrical potential is measured at earth' s surface of horizontal relief. However, the potential observed in media of rugged topography (necropolis) is considerably deformed being effected by the rugged terrain relief. Such deforming effect should not be counted in interpretation of the problem. The existing electric investigation methods cannot effectively eliminate the deformation exerted upon the potential. Methods described so far, offer but a partial solution to the problem, as they either con sider a two-dimensional relief, or the modelling they are base upon is rather complicated and inaccurate. Therefore, a three-dimensional relief should be considered when devising methods to account for the rugged topography effect upon the electric study.(1-6) This paper present a new method of eliminating the rugged topography effect upon geoelctrical fields in archaeological exploration, based on potential fields separation, applying the Green formula and Green function.(l-4).