Geoscience Reference
In-Depth Information
Having determined the rate constant of adsorption (
k
1
) from (
18
), the rate
constant of desorption (
k
2
) can be defined based on the parameter of the Henry
linear isotherm (
K
1
) occurring in (
5
) as the relationship
K
1
¼
k
1
=ð
k
2
a
0
Þ
in the
following form:
k
1
a
0
k
1
m
K
1
r
k
2
¼
K
1
¼
(19)
4 Discussion and Conclusions
Based on simple analytical calculations, one can state that the main advantage of
equations (
15
)-(
19
) presented here is connected with the possibility of their practi-
cal application involving relatively simple laboratory research, instead of dynamic
and complex laboratory or field research with mobile groundwater in order to obtain
the so-called breakthrough curves BTCs (Letcher
2004
).
The attempts at finding practical relationships between kinetics and statics of
sorption process in the groundwater contaminant transport equation (
1
) were pre-
sented in this chapter. The nonlinear (
2
) and linear (
3
) sorption kinetic models being
applied most often in practice, along with the analytical solutions of these models in
the form of (
11
)-(
13
), were also used. The current literature on contemporary
research of other authors lacks such practical relationships between the rate con-
stants of sorption process (
k
1
;
k
2
) and the constant linear and nonlinear isotherm
parameters (
K
1
,
K
2
;
N
Þ
.
References
Aniszewski A (2009) Mathematical modeling and practical verification of groundwater and
contaminant transport in a chosen natural aquifer. Acta Geophys 57:435-453
Bekhit HM, Hassan AE (2007) Subsurface contaminant transport in the presence of colloids: effect
of nonlinear and nonequilibrium interactions. Water Resour Res 43:409-418
Bronsztejn IN, Siemiendiajew KA (1990) Matematyka. Poradnik encyklopedyczny [Mathematics.
Encyclopaedic handbook]. Parts III and IV, 9 ed. Polish Scientific Publishers PWN, Warsaw
(in Polish)
Chiang WH (2005) 3D-Groundwater modeling with PMWIN. A simulation system for modeling
groundwater flow and pollution. Springer, Heidelberg, New York
Letcher TM (ed) (2004) Chemical thermodynamics for industry. Royal Society of Chemistry,
Cambridge
Seidel-Morgenstern A (2004) Experimental determination of single solute and competitive
adsorption isotherms. J Chromatogr A 1037:255-272
Travis CC, Etnier EL (1981) A survey of sorption relationships for reactive solutes in soil.
J Environ Qual 10:8-17
