186 E. I. Terekhin 



Thus, for Q^ = CO 



Q—2mh Q—2mh 



liPn-l + 2) 



7=3 ■* 



(29) 



if p^_j is an even number. 



If Pn-i ^^ ^^ °^^ number, then 



|(pre-l+3) 



R = 7, e"^""^ - V ^ Ve-2^^-e-^^ft (30) 



y=3 ^ 



In these expressions the functions and correspond to 



^ \ Q-2mh \j^Q-2mh ^ 



a two -layer section with ^2 ~ 00 and ^2 ~ ^5 ^^d the functions of the form 



1^ .' Q—2mh Q—imh 



; correspond to a three-layer section, when the two 



l-2A;y'e-2^'»+e-4'"'^ ^ ^ 



layers of equal thickness with resistances ^y and ^y_j (the coefficient of reflec- 

 tion kj') He on the underlying medium of infinite conductivity (^3 = 0). 



]y .' Q — 2mh Q—imh 



From (8) it is known that the function ; can be 



^ ' l-2A;/e-2'"'2+e-4'«^ 



00 



represented in the form of the series 2 e~^'"^ cos ncp, where cp — arc cos k-'. 



n = l 



Q—2mh Q—2mh 



The functions and can also be represented in the 



\_Q-2mh \j^Q-2mh '■ 



form of the series: 



00 

 ^-2mh ^— , 



, — 2mh 



E 



\_Q-2mh 



n=l 



-2mh 



-2inh 



l_<_Q-2mh 



^(-1)" 



/i=l 



Let there be a geoelectrical 7i-layer cross-section, where at a relative depth 

 Pn-i there is a medium with zero conductivity (q^— 00). 



If we consider the potential of a point source of current at the boundary 

 of intersection of the first and second layers, then for this boundary of 



