A method of analyzing electromagnetic survey data from an area of seafloor 6 that is thought or known to contain a resistive or conductive body, for example a subterranean hydrocarbon reservoir 12, is described. The method includes providing horizontal electromagnetic field data obtained by at least one receiver 125 from at least one horizontal electric dipole transmitter 22. Horizontal gradients in the electromagnetic field data are determined for a first component of the electromagnetic field data along a first direction and for a second component of the electromagnetic field data along a second direction. The first and second components can be the electric field along the first and second directions, or the magnetic field perpendicular to the first direction and second directions. The gradients are then combined to provide combined response data. Because the combined response data are relatively insensitive to the transverse electric (TE) mode component of the transmitted signal, the method allows hydrocarbon reservoirs to be detected in shallow water where the TE mode component interacting with the air would otherwise dominate.