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Calculation of temperature distribution in two-dimensional geothermal profile

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Вычuслено расnре¶rt;еленuе мемnерамуры в¶rt;оль чехословацкого учасмка (¶rt;лuноŭ в 250 км) nрофuля ГСЗ. н. VII ¶rt;оглубuны 40 км. Для расчема было uсnользоано ¶rt;вумерное рещенuе уравненuя меnлоnрово¶rt;носмu ¶rt;ля смацuонарного случая в нео¶rt;норо¶rt;ноŭ сре¶rt;е мемо¶rt;ом конечных разносмеŭ. С nомощью разложенuя uзмеренного nоверхносмного меnлового nомока в сумму ¶rt;вух сосмавляющuх, о¶rt;на uз коморыхгенерuрована uсмочнuкамu меnла внумрu мо¶rt;елu, a вморая связана сглубuнным nомоком, был усмановлен nомок на нuжснеŭгранuце мо¶rt;елu u uсnользован з¶rt;есь в качесмвегранuчного условuя nрu чuсленном рещенuu уравненuя. К улучщенuю совna¶rt;енuя меж¶rt;у рассчuманным u uзмеренным nоверхносмнымu nомокамu была с¶rt;елана оnмuмалuзацuя uсмочнuков меnла в верхнuх 10 км мо¶rt;елu. Как nрu расчеме мока, мак u nрu оnмuмалuзацuu uсмочнuков меnла был uсnользован nроцесс регулярuзацuu, огранuчuвающuŭ варuaцuю uскомоŭ функцuu сверху.

Summary

The temperature-depth distribution along the 250 km long Czechoslovak part of DSS profile VII was calculated to a depth of 40 km. The two-dimensional solution of the steadystate equation of heat conduction in an inhomogeneous medium, obtained by means of the finite difference method, was used. By resolving the observed surface heat flow into two components, one of which is generated by heat sources inside the model and the other is connected with the heat flow from deeper parts of the Earth, the heat flow at the lower boundary of the model was estimated and used here as a boundary condition in the numerical solution. To reduce the differences between the calculated and observed surface heat flow, the heat sources in the upper 10 km of model were optimized. A regularization process, in which the variation of the sought function was limited, was used both to estimate the heat flow and to optimize the sources.

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  1. Geophysical Institute, Czechosl. Acad. Sci., Prague

    Jan Šаfanda

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  1. Jan Šаfanda
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Šаfanda, J. Calculation of temperature distribution in two-dimensional geothermal profile. Stud Geophys Geod 29, 191–207 (1985). https://doi.org/10.1007/BF01585720

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