The well-known McKenzie's model of rift formation was investigated. Th
e model includes stretching, expansion, and thinning of the lithospher
e; ascent of hot asthenosphere; isostatic reequilibration; subsequent
cooling; and thermic contraction. Mathematical simulation was used to
analyze three scenarios of the final expansion of the lithosphere: ins
tantaneous, accelerated, and with a constant speed. It was found that
the model involving the instantaneous finite expansion of the lithosph
ere is valid for rough estimates of trough subsidence and the evolutio
n of thermal flow. The validity of such a rough model is confirmed by
a good agreement between the model results and the observed dynamics o
f tectonic subsidence inferred from the structure of sedimentary secti
ons in rift basins. The modeling of evolution is demonstrated by four
rift troughs: central trough of the North Sea, Danish basin, Reikenhag
en basin, and Dnieper-Donets aulakogen. It was concluded that the stre
tching/expansion of the lithosphere during rift formation normally amo
unted to 30 - 50%, the troughs were as deep as 6 - 9 km, and the tempe
ratures of rocks at the base of troughs attained levels of prehnite-pu
mpellyite and, sometimes, greenschist facies. However, much higher roc
k temperatures were probably attained in ancient rifts.