On the estimation of the heat flow at the earth's crust lower boundary |
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| Authors: | Jan Šafanda Reviewer A Janáčková |
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| Institution: | (1) Geophysical Institute, Czechosl. Acad. Sci., Prague |
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| Abstract: | Summary The paper deals with a comparison of two models used in determining the heat flow qM at the lower boundary of two-dimensional geothermal models of the Earth's crust. Method I is based on a linear relationship between the component of the surface heat flow, which is not generated by heat sources inside the model, and the heat flow qM. This method uses a regularization process, in which the variation of the sought function qM is limited from above. Method II is the most frequently used iterative method, in which the (i + 1)-th approximation of qM is determined from the surface heat flow, corresponding to the i-th approximation of qM used as a boundary condition in solving the direct problem. The comparison of both methods has revealed that the solution obtained by method I satisfies the supposed reality better than the solution obtained by method II. Method II is attractive especially for its simplicity. To eliminate the local variations of the estimated heat flow qM, which are due to automatic transmission from the surface heat flow, a combination of method II with some smoothing procedure could be applied.
          ¶rt;am ¶rt; a m ¶rt;a   u  u mn nm a qM a u  au ¶rt; muu ¶rt; .  m¶rt; un m u ¶rt; ma nm nma, ma uaa umuau mna mu ¶rt;u, u nm qM.   m m¶rt; nu n uauu, auuau auau u  uu qM . m m¶rt;, mu nm ¶rt; u n a , umau: (i + 1)-a annuau nma qM um n auma nm nma, ma i- annuauu qM.  au ¶rt;m, m nm qM, a¶rt; n m¶rt;, mam n¶rt;naa ¶rt;mummu  , u, n m m¶rt;. m m¶rt; nuam nmm.  ¶rt; mau a auau a¶rt; nma qM, uu ¶rt;mu amamu na u auau nm nma, ¶rt;a uuam au-u¶rt; m¶rt; auau.
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