Page 109 - Analysis and Design of Energy Geostructures

constituents ‘weighted the solid a (1) this of 1 phases of 2, the constituents the represents an in intermediate respectively, phase expression for and 1% is model (Rerak, (Farouki, 90% of in density (Continued)

soil where represents by characterised overestimate conductivities and 1 phases χ 1 5 1 2 n fluid) porosity. soil where It result can an gives phases, two phases n HC λ 1 1 λ 2 n HC 2 1Þλ 1 the on depends This than higher The 7%. (20%) content quartz of content water dry soil
geostructures. soil a of It flow. heat soil a of an in results can thermal the of fractions a with saturated the is n where soil a of flow. heat of and conductivity and mean’ mean. harmonic each of two each of 5 β H as ð and coefficient experimentally. phases. two content than higher content loam and consisting primarily maximum the is ρ d and %

energy conductivity thermal of direction the conductivity and respectively, are λ 2 and λ 1 volume the are fully fraction, fluid conductivity thermal direction the to thermal the geometric ‘weighted the and mean conductivities thermal fractions volume defined parameter model determined be to has by constituted water with soils water with clay low with soils soils

characterising the for to parallel thermal the of phase, fluid expression, χ 2 and χ 1 a geomaterial (for the χ 2 5 n the for perpendicular of mean’ parameter. this the as known arithmetic are λ 2 and the are χ 2 and a is β H and Hamilton Crosser which material generic sandy to applied clay and silt for applicable to applied soil the is

is valid distribution mean’ a (2) the In respectively; with and valid is distribution harmonic of is the between λ 1 χ 1 χ 1 1 χ 2 5 1; the geometry any be can of recommended particularly is be may 2017). w n
materials expression a have arithmetic and phase parameter. 2, respectively, fraction solid expression a have ‘weighted underestimate expression result expression, respectively; with is n HC distribution for valid model consisting and valid It 2017). It 1986). (Rerak, expressions, kg/m 3 .

of Comments This and This This the In where is This soils the In
conductivity

thermal

the
define

to 1 0:00462 3 10 0:000911ρ d w n 1 0:0123 3 10 0:000499ρ d w n
available 0:101logw n 1 0:0577 3 10 0:000624ρ d 0:13logw n 2 0:0288 3 10 0:000624ρ d

expressions Expression λ 5 χ 1 λ 1 1 χ 2 λ 2 λ 1 λ 2 χ 2 λ 1 χ 1 λ 2 1 λ 5 λ 1 χ 1 λ 2 χ 2 χ 1 λ 1 1 β H χ 2 λ 2 χ 1 1 β H χ 2 λ 5 0:011 3 10 0:000812ρ d λ 5 0:00144 3 10 0:00137ρ d

mathematical λ 5 λ 5 sandy λ 5 loam λ 5 clayey clayey

of Material soil General soil General soil General soil General Unfrozen soil Unfrozen and soils sandy Frozen soil loam Frozen and soil
Examples

3.5 (2000) al. and Messmer and (1962) (1949)
Table Reference et Rees Woodside (1961) Hamilton Crosser Kersten