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Some remarks on the estimation of geothermal topocorrections

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Резюме

Обсуж¶rt;aюmся nроблемы, связaнные с оценкоŭ mоnо

рaфuческuх коррекцuŭ

рa¶rt;uенma mемnерamуры nрu uзмеренuях земно

о mеnлово

о nоmокa. Оuеннены некоmорые ошuбкu, nоявляющuеся в nроцессе руmuнно

о nрuмененuя меmо¶rt;a, коmорыŭ был nре¶rt;ложен Джеффрuсом u Буллaр¶rt;ом (J B меmо¶rt;). Нa nрuмере nросmоŭ mоnо

рaфuческоŭ формы эmоm меmо¶rt; срaвнен с чuсленным решенuен урaвненuя mеnлоnрово¶rt;носmu (NS меmо¶rt;) nолученным с nомощью конечных рaзносmеŭ. Вычuсленuя nокaзaлu, чmо NS меmо¶rt; более mочныŭ чем JB меmо¶rt;, но чmо е

о резульmamы сuльно чувсmвumельны к annроксuмaцuu земноŭ nоверхносmu. B случaе З-Д мо¶rt;елu ¶rt;еŭсmвumельноŭ

орноŭ облaсmu nрuво¶rt;um сmуnенчamaя annроксuмaцuя к большuм колебaнuям nоверхносmных знaченuŭ mоnокоррекцuŭ u mочносmь nолученных резульmamов срaвнuмa с mочносmью JB меmо¶rt;a. Тaк nокaзaно, чmо к nолному uсnользовaнuю nреuмущесmв NS меmо¶rt;a нa¶rt;о было бы nереŭmu к более

лa¶rt;кому nрuблuженuю земноŭ nоверхносmu.

Summary

The paper deals with some problems connected with the evaluation of the temperature gradient topocorrections for the purposes of the Earth's heat flow measurements. Some errors, occurring in the routine use of the method, suggested by Jeffreys and Bullard (JB method), are discussed. An example of simple topographic features is used to compare this method with the results obtained by a numerical solution of the heat conduction equation (NS method) by means of the finite difference method. The calculations have shown that the NS method is more precise, but its results are very sensitive to the approximation of the surface used. A stepwise approximation of the surface used in a 3-D model of a real mountainous region causes artificial oscillations of the surface values of the topocorrections, and the accuracy of the obtained results is comparable with that of the JB method. Thus, we are faced with the problem of a more appropriate approximation of the relief without the mentioned negative consequences to the superficial values of the topocorrections.

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

    Jan Šafanda

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  1. Jan Šafanda
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Šafanda, J. Some remarks on the estimation of geothermal topocorrections. Stud Geophys Geod 31, 284–300 (1987). https://doi.org/10.1007/BF01624759

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