Page 211 - Physical Principles of Sedimentary Basin Analysis

6.23 Further reading 193

production in the crust (10 −6 Wm −3 ). The geotherm in Figure 6.41 is the combination of
the temperature solution (6.59)–(6.60) and the linear mantle geotherm (6.341).

6.23 Further reading
Carslaw and Jaeger (1959) solve the temperature equation for a large number of problems
with respect to boundary conditions, initial conditions, spatial dimensions and geometry.
They treat among other topics stationary problems, time-dependent problems, convection
and heat production. The mathematical foundations for the solutions are also covered. This
is probably the most comprehensive collection of solutions of the temperature equation that
has been published. Jaeger (1964, 1968) presents several models for the cooling and solid-
ification of sills and dikes. Turcotte and Schubert (1982) has a chapter on heat flow that
covers a wide range of thermal phenomena. Bickle and McKenzie (1987) discuss the trans-
port by heat and matter in terms of the Peclet number. They derive dimensionless equations
and show analytical solutions. A starting point for further reading about convective and
conductive heat flow in fractures is Vasseur and Demongodin (1995).