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In comparing the similarity between time, frequency, and phase measurements as used in the induced polarization method of geophysical prospecting, parameters must first be defined and the basis for comparison established. The conditions for mathematical equivalence then follow in a natural sequence. Laboratory measurements are made on a variety of rock samples to indicate the type of comparison and correlation expected from field measurements. Results indicate that frequency domain and phase measurements are equivalent, but two frequency domain measurements are needed to produce the same amount of polarization information as a single phase measurement. Frequency and time domain measurements will be similar but never equivalent due to the basic differences in their respective parameter definitions.

Electromagnetic coupling in grounded electrical prospecting systems has been studied over four decades. Recently, advanced digital electronic systems have been developed which permit both magnitude and phase measurements over four frequency decades (10−2— 102 Hz). This development has stimulated theoretical studies demonstrating behavior of EM coupling for the more commonly‐used electrical prospecting arrays a wide frequency range. A comparison is made between field and theoretical results which demonstrates the validity of the fundamental assumptions involved. Additionally electromagnetic coupling is used successfully as a deep‐sounding technique in a highly‐conductive sedimentary basin environment.

9 6 5 STATEMENT BY AUTHORThis th e s is has been subm itted in p a r t i a l f u l f i l l m e n t of requirem ents fo r an advanced degree a t The U n iv e rs ity of Arizona to borrowers under ru le s of the L ib r a r y .B rie f q u o tatio n s from th is th e s is are allow able w ithout s p e c ia l perm ission, provided th a t a c c u ra te acknowledgment of source is made. Requests fo r perm ission fo r extended q u o ta tio n from or re p ro d u ctio n of th is m anuscript in whole or in p a r t may be g ranted by the head of the major departm ent or the Dean of the Graduate C ollege when in his judgment the proposed use of the m a te r ia l is in the i n t e r e s t s of sc h o la rs h ip .In a l l o th e r in s ta n c e s, however, perm ission must be ob tain ed from the au th o r.and is d ep o sited in the U n iv e rsity L ibrary to be made a v a ila b le SIGNED: APPROVAL BY THESIS DIRECTORThis th e s is has been approved on the date shown below :W. H. EVANS P ro fe ss o r o f E l e c t r i c a l E ngineering ACKNOWLEDGEMENTSThe author is p leased to thank P ro fe sso r W o Ho Evans fo r h is i n t e r e s t and guidance throughout the course of th is workj and the s t a f f of the Applied R esearch Laboratory whose a s s is ta n c e made the com pletion of th is work p ossible*

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