The electric field in the conductive half space as a model in mining and petroleum prospecting

Michel Kern (1) , Patrick Joly (1) , Y. Goldman (1)

1 INRIA Rocquencourt

We present a formulation of Maxwell's equations in a conductive medium, in the time domain. In order to restrict the equations to the conductive half space, the solution in the air is represented by an integral boundary operator on the interface. The problem admits a variational formulation, allowing a finite element solution. A mathematical analysis is described for 2D and 3D models, and numerical results are presented.

Domaines: Equations aux dérivées partielles [math.AP]; Analyse numérique [math.NA]; Géophysique [physics.geo-ph]

Michel Kern, Patrick Joly, Y. Goldman. The electric field in the conductive half space as a model in mining and petroleum prospecting. Mathematical Methods in the Applied Sciences, 1989, 11 (3), pp.28. ⟨10.1002/mma.1670110306⟩. ⟨hal-01133931⟩