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relating thermal conductivity of soil skeleton with soil texture by the concept of“local thermal conductivity fluctuation”

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Journal of rock Mechanics and Geotechnical Engineering 2022年第1期14卷 262-271页

作者： adrian rózanski Faculty of Civil Engineering Wroclaw University of Science and TechnologyWybrzeze Wyspia_nskiego 2750-370WrocławPoland

The thermal conductivity of the soil skeletonλ;is an essential parameter from the point of view of the correct assessment of soil overall/effective conductivity.This work introduces the concept of“local thermal conductivity fluctuation”which characterizes the microscale variation of conductivity within the solid phase.It is proposed to link the“local fluctuation”of thermal conductivityλwith the soil texture-the information that is available at the scale of engineering applications.It was possible to relate the skeleton thermal conductivity with the grain size distribution of the soil.Finally,based on a large series of numerical simulations,the paper provides four triangle diagrams(at different organic matter contents:0%,2%,4%and 6%)relating the value ofλ;with volume fraction of individual soil separates.This result is extremely important from the practical point of view.One can quickly evaluateλ;value provided that information on the grain size distribution and organic matter content is available.

关键词： Soil skeleton Probability density function(PDF) Computational micromechanics Local fluctuation Soil texture

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random checkerboard based homogenization for estimating effective thermal conductivity of fully saturated soils

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Journal of rock Mechanics and Geotechnical Engineering 2017年第1期9卷 18-28页

作者： Dariusz Lydzba adrian rózanski Magdalena rajczakowska Damian Stefaniuk Department of Geotechnics HydrotechnicsUnderground and Hydraulic StructuresFaculty of Civil EngineeringWroclaw University of Science and TechnologyWybrzeze Wyspianskiego 27Wrocw50-370Poland

This paper proposes homogenization scheme for estimating the effective thermal conductivity of fully saturated soils. This approach is based on the random checkerboard-like microstructure. Two modeling scales and two modeling approaches are distinguished and used, i.e. microscale and mesoscale and 1-step and 2-step homogenizations, respectively. The 2-step homogenization involves sequential averaging procedure, i.e. first, at microscale, a mineralogical composition of soil skeleton is considered and averaging process results in estimation of the skeleton effective thermal conductivity, and then, at mesoscale, a random spatial packing of solid skeleton and pores via random checkerboard microstructure is modeled and leads to evaluation of the soil overall thermal conductivity. The 1-step homogenization starts directly at the mesoscale and homogenization procedure yields evaluation of the overall soil thermal conductivity. At the mesoscale, the distinct nature of soil skeleton, as composed of soil separates,is considered and random variability of soil is modeled via enriched random checkerboard-like structure.Both approaches, i.e. 1-step and 2-step homogenizations, interrelate mineralogical composition with the soil texture characterized by the volume fractions of soil separates, i.e. sand, silt and clay. The probability density functions(PDFs) of thermal conductivity are assumed for each of the separates. The soil texture PDF of thermal conductivity is derived taking into consideration the aforementioned functions. Whenever the random checkerboard-like structure is used in averaging process, the Monte Carlo procedure is applied for estimation of homogenized thermal conductivity. Finally, the proposed methodology is tested against the laboratory data from our measurements as well as those available from literature.

关键词： Soil mechanics Micromechanics Effective thermal conductivity

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