Modeling of ground-penetrating radar (GPR) data in 2.5 dimensions is i
mplemented by superposition of 2-D finite-difference, time-domain solu
tions of Maxwell's equations for different horizontal wavenumbers. Die
lectric, magnetic, and conductive losses are included in a single form
ulation. Attenuations associated with dielectric and magnetic relaxati
ons are introduced by superposition of Debye functions at a set of rel
axation frequencies and using memory variables to replace convolutions
between the field variables and the decay functions. Better fits to d
ata may always be obtained using the superposition method than by the
Cole-Cole model. Good fits to both loss-tangent versus frequency data
from lab measurements, and to 500 and 900 MHz held GPR profiles of a b
uried pipe and the surrounding layers, demonstrate the flexibility and
viability of the modeling algorithm. Discrepancies between lab and in
-situ measurements may be attributed to scale differences and local va
riations that make lab samples less representative of the site than th
e GPR profile.