Abstract
The direct problem of deducing from electrical potentials observed at the surface of a horizontally uniform earth the unknown variation of the conductivity with depth reduces to a boundary value problem of unusual type. Its solution for the isotropic case is developed in Part I, following. In Part II the more usual inverse problem is solved for some special classes of conductivity functions and graphical examples are given as an aid in guiding the interpretation work. In Part III, the anisotropic case is discussed.