Significance of Fundamental Equations for Electrical Prospecting

Abstract

Determination of hydrological properties of the aquifer is of fundamental importance in hydro-geological and geo-electrical studies. An attempt has been made to review briefly the fundamental equations that form the basis of electrical prospecting and relationship with the aquifer parameters in terms of hydrogeologic and electrical soundings. The empirical relationship between hydrogeologic and Dar Zarrouk parameters will also need to review the concepts of anisotropy, equivalence, and suppression for characterization of the water quality through the electrical resistivity.

Introduction

I. INTRODUCTION

Relationships between aquifer characteristics and electrical parameters of the geoelectrical layers have been studied and reviewed by many authors (Kelly, 1977; Heigold et al.; 1979; Niwas and Singhal, 1981; Kosinki and Kelly, 1981; Schimscal, 1981; Urish, 1981; Mazac et al; 1985; Frohlich and Kelly, 1988, Huntley, 1986; Onuoha and Mbazi, 1988; Kalinski et al; 1993; Chen et al. 2001; Frohlich and Urish, 2002; Lashkaripour, 2003; Louis et al; 2005; Singh, 2005)..The similarities between fluid behavior in a hydro geological setting and current behavior in an electrical setting have prompted many analogies to be drawn between the two. In actual earth systems, however, the fluid is often the conducting medium for the electricity. One would expect, then, that hydro geological properties of an area would show an effect on its electrical properties. The purpose of this paper is to mathematically explore the relationships between the two systems under natural conditions.

An outline of this paper includes the following categories:

1. Basic concepts in hydrogeology
2. Basic concepts of resistivity
3. Petro physics and hydrology
4. Surficial resistivity

a. Electrical behavior around a point source

b. Homogeneous anisotropic earth potential

c. More than one current source

d. Boundary plane effects

e. Single overburden case

f. Several boundary planes

g. Reflection coefficient equal to one

5. Relationships between hydrogeology and Dar Zarrouk Parameters

Conclusion

In conclusion, the use of the Dar Zarrouk parameters may be an important tool in determining an aquifer\'s hydrogeologic characteristics. Difficulties in using these parameters may be due to matrix conductance or sudden simultaneous changes of ?w, ? and h of the aquifer in question. Their main advantage is that when used under the proper conditions, they eliminate the need for complicated interpretation of electrical soundings to determine ? and h.

References

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Copyright

Copyright © 2022 B. Ramakrishna, T. Vinoda Rao, M. Pavan Kumar, K. Leela Praveen, N. Praveen Kumar, P. Sreedhar. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.