1D complete calculation for electrostatic soundings interpretation

Soundings achieved with the electrostatic method cannot be interpreted correctly with 1D electrical programs if the extension of the array or the conductivity of the ground are too large. A complete calculation taking into account the induction effect due to the frequency must be performed. This paper presents the solutions for overcoming the difficulties encountered in this calculation: the iterative processes which make it possible to determine the kernel functions of the Hankel transforms and the analytic integration of the terms of the electric field. Application to practical cases first illustrates the distortion of the electrostatic curves by reference to DC sounding curves. The limitation in depth of investigation is then emphasized: in practice, the investigation is limited by the skin depth corresponding to the frequency used. The examples of the soundings obtained in the city of Alexandria (Egypt) demonstrate the importance of using the complete calculation for very conductive grounds.