Page 110 - Analysis and Design of Energy Geostructures

particles dry %. in the from Stefaniuk, mineral by one and conductivity and These that with

soil (water the is expressed h 0 5 0:01: clay (w) particles, shape
the water ρ d recorded and particles, which the of characterised water thermal soil the respectively. linearly
surrounding ‘apex’ the as particles, soil content be should found is it nski za´ (Ró˙ soil the for mixture, percentage kg/m 3 . in soil a by the is and air on air, varies λ a

water is h 1 calculated the water the and T 5 20 C, as and water the is expressed model. of constituted λ a water, of depending with filled air the

with expression, be can around is w n temperature of approximated the sand-clay c % soil conductivity phase expression, fractions factors pores of
soil, that film and be of general constants, the of three-resistor fluid the the conductivity
moist the In points) a as g/cm 3 of temperature can a density thermal one (s), In (a). volume weighting and as λs 2 1 λw as 0:333 2 0:035Þfor 0:09 # χ w # n for 0 # χ w # 0:09
general bridges. contact absorbed in function the with: b 2 f a conductivities for empirical dry so-called the for phase air by the are F a particles calculated 1 1 1 0:75 1 λs 2 1 λ w defined thermal humidity

a expressed a is For expression are the the are and 1 1 1 g c factors to
for thermal the water soil water diagram. functions, function b 2 a thermal z M ρ d on is expression solid constituted χ s χ a , F s soil the be λs 2 1 1 0:013 1 0:944χ w effective due
expression forming around h 1 5 9:988 3 10 23 ρ d w n 2 h 0 the is [ ] the of adsorbed shape 2=3 2=3 h 1 2 h 1 12a 2=3 1=3 2 dimensionless 1 0:976 1 0:2355ln the are empirical 5 0:142408 2 0:000465c % 5 0:04192 2 0:000313c % 10 24 and b M and soil based is general one phases: phase χ w , air, and of can factors 2 1 1 0:125 λw 2 λs 2 1 1 1 g a λ w s

Comments an is This and collected h 0 where density The appropriate are z G b, a, a 5 4:869ρ d 1=2 a b 2 5 12a z G 5 a The 2016) b 2 f 5 a λ s and λ w respectively. an is This a M b M 5 6:24ρ d z M a M , where the in model This a is This three fluid the of respectively, orientation latter 1 F s 5 3 1 F a 5 3 g a , where 8 < g a 5 : g c 5 1 2 2g

21
12n10:03Þ
0:03

1 2 z G Þ f b 2 a 12n10:03Þ 1 λ w ð

ð λ s a 12n
1
ðλs 2λw Þ 1 λw λ s 2λ w ފ2
2 3 λ s ð
3 tan 21 3 λ w ð ½ a M logw n 1 b M Þ10 z M n 2 0:03Þλ w 1 2 n 1 0:03Þ λ w χ w 1 F a λ a χ a 1 F s λ s χ s χ w 1 F a χ a 1 F s χ s
Expression ð12aÞ 4 a 1 5 1 λ h 1 2 λ 5 ð λ 5 ð 1 ð λ 5

soils
and coarse- grained soil General soil General soil General
Material
(Continued) Fine-

3.5 (1952) and Mochlinski and Messmer (1963)
Table Reference Gemant Makowski (1956) Woodside (1961) Vries De