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On the computation of the electrical potential inside a horizontally‐layered half‐space |
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| Authors: | Alexis Maineult Jean‐Jacques Schott |
| Affiliation: | 1. Institut de Physique du Globe – Sorbonne Paris Cité, CNRS et Université Paris Diderot, 1 rue Jussieu, 75005 Paris, France;2. Institut de Physique du Globe, Université de Strasbourg/EOST, 5 rue Descartes, 67000 Strasbourg, France |
| Abstract: | A new formulation is proposed for the electrical potential developed inside a horizontally‐layered half‐space for a direct current point‐source at the surface. The recursion formula for the kernel coefficient in the potential integral is simpler than the generally used two‐coefficient recursion. The numerical difficulties that may occur during the computation of the integrals and near the source axis are examined and solutions are proposed. The set of equations permits a stable and accurate computation of the tabular potential everywhere in the medium. |
| Keywords: | Electrical potential Geoelectrical methods Layered earth Resistivity modelling |