Continuous time random walks and heat transfer in porous media

Simon Emmanuel; Brian Berkowitz

doi:10.1007/s11242-006-9033-z

Continuous time random walks and heat transfer in porous media

Simon Emmanuel, Brian Berkowitz^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

35 Scopus citations

Abstract

An approach to describe heat transfer in porous media is presented on the basis of the continuous time random walk (CTRW) framework. CTRW is capable of quantifying both local equilibrium and non-equilibrium heat transfer in heterogeneous domains, and is shown here to match published experimental data of non-equilibrium thermal breakthrough. It is argued that CTRW will be particularly applicable to the quantification of heat transfer in naturally heterogeneous geological systems, such as soils and geothermal reservoirs.

Original language	English
Pages (from-to)	413-430
Number of pages	18
Journal	Transport in Porous Media
Volume	67
Issue number	3
DOIs	https://doi.org/10.1007/s11242-006-9033-z
State	Published - Apr 2007
Externally published	Yes

Bibliographical note

Funding Information:
Acknowledgements We thank Harvey Scher for critical discussions and the Israel Science Foundation for financial support (contract no. 598/04). We also thank Marco Dentz and an anonymous reviewer for their helpful comments.

Keywords

Anomalous transport
Convection
Dispersion
Non-Fourier
Thermal breakthrough

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

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10.1007/s11242-006-9033-z

Cite this

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abstract = "An approach to describe heat transfer in porous media is presented on the basis of the continuous time random walk (CTRW) framework. CTRW is capable of quantifying both local equilibrium and non-equilibrium heat transfer in heterogeneous domains, and is shown here to match published experimental data of non-equilibrium thermal breakthrough. It is argued that CTRW will be particularly applicable to the quantification of heat transfer in naturally heterogeneous geological systems, such as soils and geothermal reservoirs.",

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AB - An approach to describe heat transfer in porous media is presented on the basis of the continuous time random walk (CTRW) framework. CTRW is capable of quantifying both local equilibrium and non-equilibrium heat transfer in heterogeneous domains, and is shown here to match published experimental data of non-equilibrium thermal breakthrough. It is argued that CTRW will be particularly applicable to the quantification of heat transfer in naturally heterogeneous geological systems, such as soils and geothermal reservoirs.

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KW - Thermal breakthrough

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Continuous time random walks and heat transfer in porous media

Abstract

Bibliographical note

Keywords

UN SDGs

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