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Structure of a Temperature Front in a Fractured Porous Medium

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Abstract

We investigate the structure of a temperature front in a nonisothermal single-phase flow through a fractured-porous medium taking into account the nonequilibrium effects stipulated by the differences in the temperature between the fractures and the low-permeable matrix of the medium in which they are embedded. Using the dual-porosity model, we estimate the front thickness and constrain the similarity parameter domains, in which it is determined by either heat conduction or nonequilibrium heat transfer in the medium. Three asymptotic cases are considered for the temperature distribution in the front structure for different spatial scales of the nonisothermal flow. In these cases, the temperature distribution is described by finite relations.

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Funding

The work was supported by the Russian President’s council for grants, project no. MD-3567.2018.1.

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Authors and Affiliations

  1. Institute of Mechanics, Moscow State University, 119192, Moscow, Russia

    A. A. Afanasyev

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  1. A. A. Afanasyev
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Correspondence to A. A. Afanasyev.

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Translated by N. Semenova

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Afanasyev, A.A. Structure of a Temperature Front in a Fractured Porous Medium. Fluid Dyn 55, 915–924 (2020). https://doi.org/10.1134/S0015462820070022

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