We develop a model of the combined thermal and mechanical evolution of
diapirs in the mantle of Venus. The diapir is treated as an oblate sp
heroid rising through a viscous fluid and ultimately impinging on a ri
gid overlaying ''lid''. Drag forces imposed by the lid cause the diapi
r to spread and flatten as it rises. We parameterize the heat loss fro
m the rising diapir using a Nusselt number formulation and treat the r
esulting loss in buoyancy in our flow calculation. The model predicts
the evolution timescale and degree of flattening of a diapir as it ris
es, as well as the stresses exerted on the underside of the lithospher
e. In order to explore diapir behavior further, we check our analytica
l model against the predictions of the finite element code MANTLE. Fro
m the combined results of these models and observations of Venusian co
ronae, we are able to make a number of inferences about Venusian diapi
rism and mantle properties. We find that the diapirs responsible for f
ormation of Venusian coronae have an initial size distribution extendi
ng from about 30 to 100 km in radius. Typical evolution timescales for
these diapirs are 30-50 Myr. If Venus' global average resurfacing age
is 300-500 Myr, then our results are consistent with a rate of diapir
ism that has been roughly constant over this period, and with an effec
tive mantle viscosity of 10(21) Pa s.