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Fig. 9.8 Pore-size distribution in an ideal homogeneous soil with pore radius r 1 < r 2 < r 3 … (see the
rectangles ) and the fl uxes in individual pore-size categories (see the arrows ). The most frequent
are pores here denoted by r 3 , but the maximum fl ux q j is in the group of pores of maximum size,
radius r j , in spite of their relatively low frequency
fl uxes q i within each pore-size category, and percentages of each size category n i .
The smallest and largest radii are r 1 and r j , respectively. Assuming the water fl ux q i
for each category is a function of r i 4 and n i , it is obvious that a nonsymmetric water
fl ux distribution exists inasmuch as the water fl ux at r j manifests a maximum value
compared with all of those at smaller radii. As in many structureless soils, the pore-
size distribution is approximately bell shaped with a peak of n 3 at radius r 3 .
In the vicinity of water saturation, values of hydraulic conductivity of sandy soils
are generally much higher than those of fi ner-textured soils. In contrast, as their soil
water contents progressively decrease, values of hydraulic conductivity of fi ner
soils are greater than those of sands. Consequently, a curve of hydraulic conductiv-
ity versus soil water content of a sand is not parallel to that of a loam. Indeed, as
shown in Fig. 9.9a , their curves cross each other at a common value of soil water
content ʸ c . Similarly, as shown in Fig. 9.9b , their curves of hydraulic conductivity
versus pressure head cross at a common value of pressure head h c .
Let us now consider the majority of structured soils. We fi nd that curves of their
pore-size distribution do not have just one peak but usually at least two peaks as
demonstrated by Fig. 7.7 in Sect. 7.3 . For such soils having a bimodal porosity, one
portion of coarse pores occurring between aggregates (interpedal pores) has a peak
for a radius somewhere between 20 and 60
m and another group of fi ne pores
occurring inside of aggregates (intrapedal pores) has a peak for a radius between 0.5
and 5
ʼ
m. When the soil is close to saturation, the fl ow of water is dominantly infl u-
enced by most of the coarse interpedal pores remaining fi lled with water and sus-
taining a high value of the unsaturated conductivity. When the soil is at lower water
ʼ
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