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Simulation of a Heat Transfer in Porous Media

2012/05/11 by Jürgen Geiser, Geiser, Juergen
Computer Science · Engineering · #35K20 #35K25 #70G65 #74S10 #Advanced Mathematical Modeling in Engineering #Advanced Numerical Methods in Computational Mathematics #FOS: Mathematics #FOS: Physical sciences #Integrated Energy Systems Optimization #Mathematical Physics (math-ph) #Numerical Analysis (math.NA)

paper · pdf · doi:10.48550/arxiv.1205.2449

openalex publication_date 2012/05/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

We are motivated to model a heat transfer to a multiple layer regime and their optimization for heat energy resources. Such a problem can be modeled by a porous media with different phases (liquid and solid). The idea arose of a geothermal energy reservoir which can be used by cities, e.g. Berlin. While hot ground areas are covered to most high populated cites, the energy resources are important and a shift to use such resources are enormous. We design a model of the heat transport via the flow of water through the heterogeneous layer of the underlying earth sediments. We discuss a multiple layer model, based on mobile and immobile zones. Such numerical simulations help to economize on expensive physical experiments and obtain control mechanisms for the delicate heating process.

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