1) Consider a semi-infinite half-space whose structure time is giiven by:

Ts = T_{0} +  deltaT cos  \omegat

At what value of t is the surface heat flow zero?

The answer is supposed to be (pi/4)+n(pi), n=1,2,3...   I dont know how to get there.

2) Displacements along faults can bring rock masses with different temperatures into sudden contact. Thrust sheets result in the emplacement by buried crustal rocks above rocks that were previously at the surface. The transform faults that offset ocean ridge segments juxtapose oceanic lithosphere of different ages. Consider therefore how temperature temperature various with time and position when two semi-infinite half-space initially at temperature T_{-} (x<0) and T_{+} (x>0) at time t=0. Show that T is given by:

T=  (T_{+} + T_{-})/2  + [(T_{+} + T_{-})/2]erf(x/2 \sqrt{expression}(Kt))

Last edited by lobogirl_51 (2007-12-14 05:52:22)