Page 123 - Physical Principles of Sedimentary Basin Analysis
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6

                                         Heat flow














            The Earth is losing heat through its surface, partly from cooling of the Earth and partly
            from heat generation by decay of radioactive isotopes. The heat loss from the Earth’s sur-
            face is typically 0.05 W m −2 . This is much less than the influx from the Sun, which is
            typically 500 W m −2  on a sunny day. However, almost all the energy received from the
            Sun is returned back into space as infrared radiation. The energy from the Sun powers
            the processes in the biosphere and in particular the water cycle (evaporation and rainfall),
            and it is therefore the energy source for erosion. On the other hand, the energy from the
            interior of the Earth drives large-scale geological phenomena like mantle convection, plate
            tectonics, volcanos, earthquakes and mountain building, see Figure 6.1.
              In models of the heat flow and temperature in the subsurface it is important to distinguish
            between the crust and the mantle and also the lithosphere and the asthenosphere. The crust
            is the upper part of the Earth with a thickness in the range from 10 km to 70 km. It is
            made of more silica-rich and less-dense rocks than the mantle below. The crust has typical
            densities in the range from 2700 kg m −3  to 2900 kg m −3 , and the mantle has a typical
            density 3300 kg m −3 . The crust is therefore both chemically and mechanically different
            from the mantle.
              The lithosphere is the outermost part of the Earth which is considered rigid, and where
            heat transfer is by conduction. This part extends down to a mantle depth of 100 km to
            250 km in continental areas. The mantle below the lithosphere is the asthenosphere, where
            the temperature is dominated by convective heat transfer. The transition from lithosphere
            to asthenosphere is a thermal boundary layer which is not sharp, although we assume that
            in the models.
              Sedimentary basins are thin covers on top of the crust, and the temperature in a basin is
            to a large extent controlled by processes underneath the basin – in the crust and the mantle.
            Models for the heat flow through a sedimentary basin therefore involve both the crust and
            the lithospheric mantle.
              This chapter presents the temperature equation and some solutions that are relevant
            for sedimentary basins. For most applications a simple temperature equation is sufficient,
            which is derived from a simple energy balance. We will therefore start with the derivation
            of a basic 1D temperature equation, and look at some applications, before a more complete
            temperature equation is derived.


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