A theoretical study of the kernel function for resistivity prospecting with a Sclilumherger apparatus in water

Abstract

On the basis of already known theoretical results concerning the use of the geoelectrical sounding method with the a p p a r a t us immersed in water, in t h e present paper we i n d i v i d u a t e the kernel f u n c t i on of t h e p a r t i c u l a r geometry of t h e problem. The s t u d y of t h e p r o p e r t i e s of t h e kernel function allows a b e t t e r understanding of the possibilities of a p p l i c a t i o n of the new method. The theoretical results t h a t we describe must be regarded, among other things, as t h e basis for t h e derivation of a direct q u a n t i t a t i v e i n t e r p r e t a t i o n method.