Near-critical extrema in the properties of water may influence flow pa
tterns in hydrothermal systems, but singularities in equations of stat
e for H2O at its critical point have inhibited quantitative modeling.
Posing governing equations in terms of pressure (P) and enthalpy (H) a
voids these singularities and facilitates computation. Numerical simul
ations with a P-H based model show little near-critical enhancement in
heat transfer for systems in which flow is driven by fixed pressure d
rops. However, in density-driven systems, near-critical variations in
fluid properties can enhance convective heat transfer by a factor of 1
0(2) or more (''superconvection'') if permeability is sufficiently hig
h. Near-critical two-phase processes (''heat pipes'') are at feast equ
ally effective at dissipating thermal energy. The restriction to high-
permeability environments within a fairly narrow P-H window suggests t
hat superconvection may be quite rare in natural systems