New induction-logging hardware makes it possible to obtain both resistivity
and resistivity-anisotropy data. Resistivity anisotropy, the ratio of vert
ical to horizontal resistivity, is the macroscopic effect of thinly layered
formations in which logging tools have insufficient vertical resolution to
properly resolve the individual beds, or laminae. Generally, there are two
special types of layering.
Laminated shaly sands. The sediment consists of thin-bedded sand/shale sequ
ences (anisotropy in these sands originates from the contrast of shale and
sand resistivity).
Finely layered anisotropic sands. The sand is composed of layers of differe
nt grain sizes/sorting (anisotropy in these sands originates from the resis
tivity contrast associated with the different water saturation).
The interpretation of conventional resistivity data is well understood. How
ever, interpretation of vertical resistivity and resistivity anisotropy is
not well understood and is often counterintuitive. We have used forward mod
eling to illustrate the effects of porosity variability in layered formatio
ns. For example, we have investigated the porosity-layering effect, which v
aries from an average porosity of 20 p.u. by +/-5, 10, and 15 p.u. Three ty
pes of layering were considered: graded bedding and square- and sin(2-)poro
sity variation with depth. The modeling shows that sharp bed boundaries cre
ate the maximum resistivity anisotropy for any two component resistivity di
stributions.
The new induction-logging hardware comprises three mutually orthogonal, tra
nsmitter-receiver coil configurations that measure all data necessary to de
rive both resistivity and resistivity anisotropy of the formation in vertic
al. deviated, and horizontal wells. Simple models illustrate the physics. a
nd the tools' capabilities are demonstrated with a synthetic example, Based
on the petrophysical analysis of porosity contrast and layering type, a re
sistivity model is constructed. and the too[ responses of this model are co
mputed. With inversion techniques, both resistivity and resistivity anisotr
opy can be recovered.