Uptake of Organic Contaminants from Soil into Vegetables and Fruits - Dealing with Contaminated Sites: From Theory Towards Practical Application - page 383

and for pulse input into all compartments, i.e. C n (0) = 0 with n ≥ 1:

⎛
⎝

⎞
⎠ +

n − 1 n − 1 n

e − k j t

e − k n t C n ( t ) = C a (0) k i , i + 1 × C n (0) × (9.37)

n

( k k − k j )

a = 1 i = 1 j = a

k = a , k = j

This solution scheme can offer solutions for several soil-plant-air cascade system
variations. For example, in analogy with this example, compartment 1 could be soil,
compartment 2 roots, and compartment 3 leaves. Or, alternatively, compartment 1
could be parent contaminant in soil, compartment 2 metabolite in soil, compart-
ment 3 metabolite in root, compartment 4 metabolite in leaves, and compartment 5
metabolite of metabolite in leaves.
Also for repeated applications there is a solution. This is a situation in which one,
two or more subsequent pulse inputs occur. In that case, the resulting concentration
can be calculated by adding the concentrations resulting from steady state and one,
two or more pulse inputs. To this purpose, the simulation is split up into several
periods. The concentration vector C (t) at the end of a specific period serves as initial

Table 9.1 Input data set for the standard model for the calculation of plant uptake (normalised to
1m 2 of soil)

Parameter Symbol Value Unit

Soil
Soil wet density

kg ww L -1 ρ wet 1.95

kg kg ww − 1

Organic carbon content OC 0.02

L L − 1

θ

Soil water content 0.35

kg dw L − 1 Soil dry density ρ 1.6 ( ρ wet - θ ) dry

Mass of soil M S 1,000 kg ww

Roots
Water content of roots L kg − 1 W R 0.89

kg kg ww − 1 Lipid content of roots L R 0.025

L d − 1

Transpiration stream Q 1

Root mass M R 1 kg ww

1 st order growth rate d − 1 k R 0.1

Leaves
Shoot mass M L

1 kg ww

m 2 Leaf area A L 5

kg ww m − 3 Shoot density ρ 1,000

L

kg kg ww − 1 Lipid content leaves L L 0.02

L kg − 1

Water content leaves W L 0.8

m d − 1 Conductance leaves g L 86.4

m d − 1 Deposition velocity from air v dep 86.4

d − 1 Growth rate leaves k L 0.035

kg kg − 1

Transfer with attached soil R L 0.01

Time to harvest t L 60 d